Solve the equation for x. √x+5-3=4​

Answers

Answer 1
answer: x = 14

Explanation:

Sqrt x + 5 - 3 = 4
Sqrt x + 2 = 4

Square both sides
x + 2 = 4^2
x + 2 = 16
x = 16 - 2
x = 14

Check:

Sqrt 14 + 5 - 3 = 4
Sqrt 16 = 4
4 = 4

Answer 2

Answer:

x=4

Step-by-step explanation:

To solve for x, we must get x by itself on one side of the equation.

[tex]\sqrt{x} +5-3=4[/tex]

First, we can combine like terms on the left side. Subtract 3 from 5.  

[tex]\sqrt{x} +(5-3)=4[/tex]

[tex]\sqrt{x} +2=4[/tex]

2 is being added on to the square root of x. The inverse of addition is subtraction. Subtract 2 from both sides of the equation.

[tex]\sqrt{x} +2-2=4-2[/tex]

[tex]\sqrt{x} = 4-2[/tex]

[tex]\sqrt{x} =2[/tex]

The square root of x is being taken. The inverse of a square root is a square. Square both sides of the equation.

[tex](\sqrt{x} )^{2} =2^2[/tex]

[tex]x=2^2[/tex]

Evaluate the exponent.

2^2= 2*2 =4

[tex]x=4[/tex]

Let's check our solution. Plug 4 in for x and solve.

[tex]\sqrt{x} +5-3=4[/tex]

[tex]\sqrt{4} +5-3=4[/tex]

[tex]2+5-3=4[/tex]

[tex]7-3=4[/tex]

[tex]4=4[/tex]

Our solution checks out, so we know x=4 is correct.


Related Questions

Suppose that three computer boards in a production run of forty are defective. A sample of five is to be selected to be checked for defects.

a. How many different samples can be chosen?
b. How many samples will contain at least one defective board?
c. What is the probability that a randomly chosen sample of five contains at least one defective board?

Answers

Answer:

(a) 658,008 different samples can be chosen.

(b) 222,111 samples will contain at least one defective board.

(c) The probability that a randomly chosen sample of five contains at least one defective board is 0.34.

Step-by-step explanation:

We are given that three computer boards in a production run of forty are defective. A sample of five is to be selected to be checked for defects.

(a) To find how many different samples can be chosen, we will use a combination formula here because the order of selecting a sample of 5 from the production run of 40 doesn't matter.

Here, n = total sample = 40 and r = selected sample = 5

So, the combination formula is; [tex]^{n}C_r= \frac{n!}{r! \times (n-r)!}[/tex]

             [tex]^{40}C_5= \frac{40!}{5! \times (40-5)!}[/tex]

              [tex]^{40}C_5= \frac{40!}{5! \times 35!}[/tex]

              [tex]^{40}C_5[/tex] = 658,008 ways

So, 658,008 different samples can be chosen.

(b) To find how many samples will contain at least one defective board, we will first find how many samples will contain no or 0 defective board.

For this also, we will use a combination where n = 40 - 3 = 37 non-defective computer board and a sample of r = 5 computer boards.

So,          [tex]^{n}C_r= \frac{n!}{r! \times (n-r)!}[/tex]

             [tex]^{37}C_5= \frac{37!}{5! \times (37-5)!}[/tex]

              [tex]^{37}C_5= \frac{37!}{5! \times 32!}[/tex]

              [tex]^{37}C_5[/tex] = 435,897 ways

This means that 435,897 of the 658,008 samples will contain no defective board.

Now, the samples that will contain at least one defective board = Total samples - Samples that contain no defective board

           = 658,008- 435, 897

           = 222,111

(c) The probability that a randomly chosen sample of five contains at least one defective board is given by;

      Required Probability =  [tex]\frac{222,111}{658,008}[/tex]

                                         =  0.34 or 34%

Alex has to pay his car insurance twice a year. Each Payment is 312. How much money should Alex budget for his insurance each month?

Answers

Step 1:
312 • 2 = 624

Step 2:
624 divided by 12 months

Answer:
$52 a month

Answer:

$52

Step-by-step explanation:

$52. Since Alex pays for car insurance twice a year, divide the cost of each payment by 6, the number of months in half a year. This will tell you how much money Alex needs to set aside each month to cover his insurance costs.

312÷6=52

Students at the Akademia Podlaka conducted an experiment to determine whether the Belgium-minted Euro coin was equally likely to land heads up or tails up. Coins were spun on a smooth surface, and in 350 spins, 163 landed with the heads side up. Should the students interpret this result as convincing evidence that the proportion of the time the coin would land heads is not 0.5?

Answers

Complete question is;

Students at the Akademia Podlaka conducted an experiment to determine whether the Belgium-minted Euro coin was equally likely to land heads up or tails up. Coins were spun on a smooth surface, and in 350 spins, 163 landed with the heads side up. Should the students interpret this result as convincing evidence that the proportion of the time the coin would land heads is not 0.5?

Test the relevant hypotheses using α = 0.01

Answer:

The Test result doesn't support the claim that proportion of the time the coin would land heads is not 0.5. Rather it supports the the probability to be 0.5. So the students shouldn't interpret this result as convincing evidence that the proportion of the time the coin would land heads is not 0.5

Step-by-step explanation:

The hypotheses would be;

Null hypothesis; H0: p = 0.5

Alternative hypothesis; Ha: p ≠ 0.5

We are given, X = 163 and n = 350

Thus; p^ = X/n = 163/350 = 0.4657

Since we are not given standard deviation, we will use test statistic formula;

Z = (p^ - p)/(√(p(1 - p)/n)

Z = (0.4657 - 0.5)/(√(0.5(1 - 0.5)/350)

Z = -1.28

From online P-value from T-score calculator as attached, we have;

p-value = 0.201395.

Since the p-value is > 0.01, it's not significant and so we will fail to reject the null hypothesis H0.

We will conclude that the Test result supports the conclusion that p = 0.5

Please help me how to do no 5

Answers

Answer:

  -864

Step-by-step explanation:

The determinant of a matrix product is the product of the determinants. The determinant of a transpose is the same as the determinant of the original. Hence ...

  [tex]|AB^5C^T|=(4)(-2)^5(\frac{1}{4})=-32[/tex]

The multiplication of an n×n matrix by a scalar 'a' multiplies its determinant by a^n, so the desired determinant is ...

  [tex]|3AB^5C^T|=3^3(-32) = \boxed{-864}[/tex]

A football field has the shape of a rectangle with dimensions of 300 feet long and 160 feet wide. If a fan was to run diagonally from one end zone to the opposite end zone, how far would she run to the nearest foot? Enter only the number.

Answers

Answer: 340

Explanation:

In order to find the length of the diagonal of a rectangle you need to cut the rectangle in diagonal then you have 2 right triangle:

We can take one right triangle to work with:

We can use Pythagorean’s theorem to find the hypotenuse of the right triangle (also the diagonal of the rectangle):

a^2 + b^2 = c^2
300^2 + 160^2 = c^2
90000 + 25600 = c^2
115600 = c^2
Sqrt 115600 = c
340 = c

Where c is the hypotenuse of the right triangle and also the diagonal of the rectangle

Answer:

340 feet

Step-by-step explanation:

we use Pythagora

d² = l² + w²

d = √300ft)² + 160ft)²

= √90000ft² + 25600ft²

= √115600ft²

= √(2⁴ₓ5²ₓ17²)ft²

= √(2²ₓ5ₓ17)ftₓ(2²ₓ5ₓ17)ft

= √340ftₓ340ft

= 340 feet

Select the correct answer. If , which statement is true? if g(x) = f(1/3x)
A. The graph of function f is stretched vertically by a scale factor of 3 to create the graph of function g.
B. The graph of function f is stretched horizontally by a scale factor of 3 to create the graph of function g.
C. The graph of function f is compressed horizontally by a scale factor of to create the graph of function g.
D. The graph of function f is compressed vertically by a scale factor of to create the graph of function g.

Answers

Answer:

B. The graph of function f is stretched horizontally by a scale factor of 3 to create the graph of function g.

Step-by-step explanation:

The rules for linear transformations are that

 g(x) = a·f(b·(x-c)) +d

stretches the graph vertically by a factor of "a" (before the shift)

compresses the graph horizontally by a factor of "b" (before the shift)

shifts it to the right by amount "c"

shifts it up by amount "d".

Your equation has b=1/3, so the graph is compressed by a factor of 1/3, which is equivalent to a stretch by a factor of 3.

The appropriate choice of description is ...

 b) the graph of g(x) is horizontally stretched by a factor of 3

Answer:

B

Step-by-step explanation:

Correct on Plato

Please help soon as possible! This is urgent! Match each expression with the correct description.

Answers

Answer:

Hey there!

q is 1, and n=-2.

q-n=1-(-2), which is 3.

n-q=-2=1, which is -3.

q is 1.

Thus, the least value is n-q, and the greatest value is q-n. Closest to zero would be q.

Let me know if this helps :)

Answer:

Least: n-q

Greatest: q-n

Closest to zero: q

Which statements are true?

Answers

Answer:

Step-by-step explanation:

The first statement is true.  We use 4 as the base and 3.33 as the exponent, obtaining 101.

The second statement is true.  Using 2 as the base and 6.15 as the exponent, we get 71.01, or approximately 71.

Third statement:  3^4.14 = 94.47, which is NOT equal to 24.  False

Fourth statement:  Raise the base (5) to the power 2.60, obtaining 65.66, or approximately 66. True

Fifth statement:  Raise the base (6) to the power 0.17, obtaining 1.36.  This does not match the '11' given.  False

How many adults must be randomly selected to estimate the mean FICO​ (credit rating) score of working adults in a​ country? We want ​% confidence that the sample mean is within points of the population​ mean, and the population standard deviation is .

Answers

Answer: hello below is the complete question

How many adults must be randomly selected to estimate the mean FICO (credit rating) score of working adults in a country? We want 90% confidence that the sample mean is within 4 points of the population mean, and the population standard deviation is 66. Round up to the nearest whole number

answer : 737 adults

Step-by-step explanation:

confidence interval = 90% = 0.9

( E ) = 4

standard deviation = 66

first we have to calculate the value of a

a = 1 - confidence interval

  = 1 - 0.9 = 0.10      hence  a / 2 = 0.05

next find the value of Z a/2 from table

Z[tex]_{0.05}[/tex]  = 1.645

The number of Adults selected can be determined using this relation

N = [tex](Z_{a/2} * (s/E))^2[/tex]

   = [tex](Z_{0.05} * ( 66/4))^2[/tex]

   = 737

Please help answer the following questions!!! :D I will do anything in return!

Answers

A: jerry made more
B: jerry did
C: performing is the way they play and making it is the way they throw the ball in the hoop
D: one just missed the hoop
E: he just played better and faster



Hope this is good I tired doing it hope you get a good grade on it :)

Find the next three terms in the sequence 4, 16, 36, 64, 100, ...

Answers

Answer:

144 196 256

. .............

Joe drove 315 miles on 15 gallons of gas. What is his mileage in miles/gallon?
miles/gallon

Answers

Answer:

21 miles/gallon

Step-by-step explanation:

To find his mileage in miles/gallon, divide the number of miles by the number of gallons.

315/15

= 21

= 21 miles/gallon

Answer:

21 miles / gallon

Step-by-step explanation:

Take the miles and divide by the gallons

315 miles / 15 gallons

21 miles / gallon

The miss Petra psychic hotline charges 5$ For the first minute and 2$ for each additional minute. Give an equation the describes the situation

Answers

Answer:

y=2(x-1)+5

Step-by-step explanation:

We know that it is 5 dollars for the first minute so we know the equation will start off with +5.

Than for the rest of the minutes, we have to make sure to subtract one from them, because the first number is worth 3 dollars more. Which is why it is x-1.

Then we multiply the new value times 2, because each additional minute is 2 dollars more.

Kevin's total payroll deductions are 30% of his earnings. If his deductions add up to $369 for a two week period, how much were his earnings for the period?

Answers

Answer:

His earnings for the period= $123

Step-by-step explanation:

Kevin's total payroll deductions are 30% of his earnings. His deductions add up to $369 for a two week period.

If 30% of his earnings = $369

His earnings = x

30/100 * x= 369

X= 369*100/30

X= 123*10

X=$ 1230

His earnings for the period= $123

PICK AN ANSWER!!! BRAINLIEST IF RIGHT

Answers

Answer:

Hey there!

This is an obtuse isosceles, because two sides are congruent, and one angle is greater than 90 degrees.

Let me know if this helps :)

Answer:

[tex]\Large \boxed{\mathrm{C. \ obtuse \ isosceles }}[/tex]

Step-by-step explanation:

An isosceles triangle has two equal angles. This triangle has two base angles equal.

An obtuse triangle has an angle measuring greater than 90 degrees. This triangle has an angle measuring 136 degrees.

This triangle is an obtuse isosceles triangle.

Each cylinder is 12 cm high with a diameter of 8 cm.

Calculate the volume of each cylinder.

Use 3 as a value for π

Give your answer using the correct units.

Answers

Answer:

Volume = 576cm^3

Step-by-step explanation:

[tex]h = 12 cm\\d = 8cm\\r =d/2 = 8/2 =4\\V = ?\\V =\pi r^2h\\\\V= 3 \times 4^2\times12\\V = 576 cm^3[/tex]

For lunch, Kile can eat a sandwich with either ham or a bologna and with or without cheese. Kile also has the choice of drinking water or juice with his sandwich. The total number of lunches Kile can choose is

Answers

Answer:

8

Step-by-step explanation:

Ham with or without cheese-2 choices

Bologna with or without cheese-2 choices

Bologna with cheese with water or juice-2 choices

Bologna without cheese with juice or water-2 choices

Ham with cheese with juice or water -2 choices

Ham without cheese with juice or water -2 choices

2+2+2+2=8

Kile has 8 choices for lunch

solve 3/4x+5=-9 please

Answers

Answer:

exact form: x=-56/3

mixed number form: -18 2/3

Solve for x by simplifying both sides of the equation, then isolating the variable.

x=-56/3 or x= - 18.6

You have worked these hours this week: 5 4/5, 6 1/3, 8 2/5, 4 2/3. How many hours did you work

Answers

1472 minutes

OR

24 hours and 32 minutes

OR

1 day and 32 minutes

OR

1 day, half an hour, and 2 minutes

Using the addition operator, the total number of hours worked this week would be 26.65 hours

Given the work hours thus :

Converting to improper fraction :

29/4 + 19/3 + 42/5 + 14/3

Taking the L. C. M ; = 60

(435 + 380 + 504 + 280) / 60

= 1599 / 60

= 26.65 hours.

Hence, total hours worked would be 26.65 hours.

Learn more : https://brainly.com/question/25686009

Laura is bowling 5 games. Her first 4 scores were 135, 144, 116, and 132.

To end up with an average score of at least 136.8, what is the lowest score Laura will need in the fifth game?

Answers

Answer:

157

Step-by-step explanation:

135+144+116+132=527

527+136.8=762.8

762.8÷5= 157

Find the missing probability. P(A)=7/20,P(A∪B)=191/400,P(A∩B)=49/400 ,P(B)=? A. 7/8 B. 1/4 C. 117/400 D. 19/40

Answers

Answer:

B

Step-by-step explanation:

P(AUB)=P(A)+P(B)-P(A∩B)

191/400=7/20+P(B)-49/400

P(B)=191/400+49/400-7/20=240/400-7/20=12/20-7/20=5/20=1/4

The value of P(B) is 1/4.

What is probability?

The probability is defined as the possibility of an event is equal to the ratio of the number of favorable outcomes and the total number of outcomes.

For an experiment having q number of outcomes, the number of favorable outcomes can be denoted by p. The formula to calculate the probability of an event is as follows:

Probability(Event) = Favorable Outcomes/Total Outcomes = p/q

Given data as :

P(A) = 7/20,

P(A∪B) = 191/400,

P(A∩B) = 49/400 ,

P(AUB) = P(A) + P(B) - P(A∩B)

Substitute the values of P(A), P(A∪B) and P(A∩B) in formula,

191/400 = 7/20 + P(B) - 49/400

Rearrange the terms in the equation,

P(B) = 191/400 + 49/400 - 7/20

P(B) = 240/400 - 7/20

P(B) = 12/20 - 7/20

P(B) = 5/20

P(B) = 1/4

Hence, the value of P(B) is 1/4.

Learn more about probability here :

brainly.com/question/11234923

#SPJ5

Little bit more math hw

Answers

Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

For these kind of problems, simply take the denominator and compare it to zero. Then solve the equation.

[tex]x+2=0\\\\\Rightarrow x=-2[/tex]       By subtracting 2 from both sides!

Best Regards!

PLEASE HELP Weekly wages at a certain factory are
normally distributed with a mean of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makes betweenh
$250 and $300.

Answers

Answer: 0.0215 .

Step-by-step explanation:

Let X denotes the weekly wages at a certain factory .

It is normally distributed , such that

[tex]X\sim N(\mu=400,\ \sigma= 50)[/tex]

Then, the probability that a worker  selected at random makes between

$250 and $300:

[tex]P(250<X<300)=P(\dfrac{250-400}{50}<\dfrac{x-\mu}{\sigma}<\dfrac{300-400}{50})\\\\=P(\dfrac{-150}{50}<z<\dfrac{-100}{50})\ \ [z=\dfrac{x-\mu}{\sigma}]\\\\=P(-3<z<-2)\\\\=P(z<-2)-P(z<-3)\\\\=1-P(z<2)-(1-P(z<3))\\\\=P(z<3)-P(z<2)\\\\=0.9987-0.9772\\\\=0.0215[/tex]

Hence,the required probability = 0.0215 .

what is 90.125 written in expanded from?

Answers

Answer:

The answer is 90+0+0.1+0.02+0.005.

Step-by-step explanation:

The reason for my answer is because 90 is in the tens place. 90+0 is equal to 90 so that's why it is a +0 after the 90. Now, we have a decimal. After the decimal, we have 125. It is +0.1 because the 1 in 90.125 is in the tenths place. Next, it is +0.02 because the 2 in 90.125 is in the hundredths place. Last but not least, it is +0.005 because the 5 in 90.125 is in the thousandths place.

Which of the following relations is a function? A. (1, 4), (-4, 2), (8, 1), (-8, 2) B. (1, 4), (-4, 6), (1, 3), (-8, 2) C. (1, 0), (-4, 3), (8, 1), (-4, 5) D. (8, 1), (-4, 4), (1, 1), (8, 2)

Answers

Answer:

A. (1, 4), (-4, 2), (8, 1), (-8, 2)

Step-by-step explanation:

Each x goes to only 1 y to be a function

A. (1, 4), (-4, 2), (8, 1), (-8, 2)

function

B. (1, 4), (-4, 6), (1, 3), (-8, 2)

1 goes to 4 and 3 so not a function

C. (1, 0), (-4, 3), (8, 1), (-4, 5)

-4 goes to 3 and 5 so not a function

D. (8, 1), (-4, 4), (1, 1), (8, 2)

8 goes to 1 and 2 so not a function

Answer:

[tex]\Large \boxed{\mathrm{A. \ (1, 4), (-4, 2), (8, 1), (-8, 2)}}[/tex]

Step-by-step explanation:

[tex]\sf A \ function \ is \ a \ relation \ if \ each \ x \ value \ is \ for \ each \ y \ value.[/tex]

[tex](1, 4), (-4, 2), (8, 1), (-8, 2) \ \sf represents \ a \ function.[/tex]

[tex](1, 4), (-4, 6), (1, 3), (-8, 2) \ \sf does \ not \ represent \ a \ function.[/tex]

[tex](1, 0), (-4, 3), (8, 1), (-4, 5) \ \sf does \ not \ represent \ a \ function.[/tex]

[tex](8, 1), (-4, 4), (1, 1), (8, 2) \ \sf does \ not \ represent \ a \ function.[/tex]

the city of James town is 2 meters below sea level. Takoradi, a city in western region, is 7 meters below sea level . How much higher is James town than Takoradi​

Answers

Answer:

James town is 5 meters higher than Takoradi​ .

Step-by-step explanation:

Given:

Height of James town = 2 meters below sea level

Height of Takoradi town = 7 meters below sea level

To find:

How much higher is James town that Takoradi = ?

Solution:

As we can see the standard of height is how much the town is below the sea level.

So, the height of town having lesser value will be at a higher level.

Value of Height of James town is lesser than that of Takoradi town.

Therefore, James town is at a higher level.

Difference of height = 7 meters - 2 meters = 5 meters

So, the answer is:

James town is 5 meters higher than Takoradi.

The Brooklyn Burn is a small company that makes and sells hot sauces. The profit that The
Brooklyn Burn makes in a month from its “Buckingham Burn" hot sauce can be measured using
the following function:
y=6x - 200
where x is the number of bottles of "Buckingham Burn" hot
sauce sold, and y is the profit in dollars for the month.
Using this function and its context involving sales of hot
sauce), describe the meaning of the numbers shown in the
table at the right.

150
700

Answers

Answer:

I know the answer

Step-by-step explanation:

If we use 150 the answer would be 6(150) - 200 = 700. The answer is 200.

Brooklyn Burn sold 150 bottles of hot sauce every month, 700 is the profit they make eachmonth.

Find the sum of the first 12 terms of the sequence 512, 256, 128, … This is infinite series notation, the answer is NOT 896...

Answers

Answer:

1023.75

Step-by-step explanation:

The sum of a geometric sequence is

sum = a( 1 - r^n) / (1-r)

where a is the first term  r is the common ratio and  r^n is the nth term

We need to find the common ratio

r = 256/512 = 1/2

sum = 512 ( 1 - 1/2^12) / ( 1-1/2)

       =512( 1-.000244141) / (.5)

       =512(.999755859) /.5

     =1023.75

Answer:

1023.75

Step-by-step explanation:

sum = a( 1 - r^n) / (1-r)

a1 = 512

n = 12

r = 256 / 512 = 1/2

                              512 (1 - 1/2¹²)

therefore.. sum =  ------------------ = 1023.75

                                   1 - 1/2

1 rabbit saw 9 elephants while going to the river. Every elephant saw 3 monkeys going to the river. Each monkey had 1 tortoise in each hand.

How many animals were going to the river?

Answers

Answer:

91 animals

Step-by-step explanation:

Because every elephant saw 3 monkeys, there were 9 * 3 = 27 monkeys and because every monkey had 1 tortoise in each hand and we know that monkeys have 2 hands, there were 27 * 2 = 54 tortoises. To find the total number of animals that were going to the river, we can calculate 1 + 9 + 27 + 54 = 91 animals.

Answer:

  10

Step-by-step explanation:

Only the rabbit and the 3 monkeys are described as going to the river. The tortoises seem to be going to the river by virtue of being taken there by the monkeys. Those on the path to the river were ...

  1 rabbit

  3 monkeys

  6 tortoises

A total of 10 animals.

when graphed on a coordinate plane , point a and point b are reflections across the x-axis. Point a is located at (5, 2). Which ordered pair describes the location of point b

Answers

Answer:

Point b has coordinates (5, -2)

Step-by-step explanation:

If point a has coordinates (5, 2) then its reflection across the x axis would have the same value for the x-coordinate, and exactly opposite value for the y-coordinate (that is y-coordinate = -2.

then point's a reflection is: (5, -2)

since its reflection is point b then point b has this coordinates.

Other Questions
HELP!!!!!!, I need this urgently!!!Compare the properties of producer and water gas Suppose that BC financial aid alots a textbook stipend by claiming that the average textbook at BC bookstore costs $ $ 93.29. You want to test this claim.Required:a. The null and alternative hypothesis in symbols would be: _______b. The null hypothesis in words would be: 1. The average price of textbooks in a sample is S 96.28 2. The proportion of all textbooks from the store that are less than 96.28 is equal to 50% 3. The average of price of all textbooks from the store is less than $96.28. 4. The average of price of all textbooks from the store is greater than $96.28. 'The average price of all textbooks from the store is S 96.28 Which of the following is not one of the benefits of outsourcing, whether domestically or internationally, value chain activities presently performed in-house? A. Preventing a company from hollowing out its technical know-how, competencies, or capabilities. B. Streamlining company operations in ways that improve organizational flexibility and cut the time it takes to get new products into the marketplace. C. Allowing a company to concentrate on its core business, leverage its key resources, and do even better what it already does best. D. Helping a company assemble diverse kinds of expertise easily and efficiently. E. Improving a companys ability to innovate. Charge of uniform density (0.30 nC/m2) is distributed over the xy plane, and charge of uniform density (0.40 nC/m2) is distributed over the yz plane. What is the magnitude of the resulting electric field at any point not in either of the two charged planes? An investor has a $1,000,000 portfolio that is split evenly between "blue chip" stocks and Treasury securities. The current economic environment is characterized by low interest rates and flat stock prices - and this is expected to remain unchanged for a number of years. However, the residential and commercial real estate market is expected to be strong. The investor would like to diversify the portfolio and enhance returns without adding much additional risk. Which of the following investment purchase recommendations would help achieve this objective?A. Mortgage REITsB. Mortgage BondsC. Equity REITsD. Fannie Mae Pass-Through Certificates Solve the following system of equations.2x + y = 3x = 2y-1ANSWER: ______plz help me Find the area of the ACTUAL gym Find the value of x in the givenright triangle.Enter your answer as a decimal rounded to thenearest tenth. Suspect Corp. issued a bond with a maturity of 30 years and a semiannual coupon rate of 6 percent 4 years ago. The bond currently sells for 95 percent of its face value. The book value of the debt issue is $45 million. In addition, the company has a second debt issue on the market, a zero coupon bond with 15 years left to maturity; the book value of this issue is $50 million and the bonds sell for 54 percent of par. The companys tax rate is 40 percent.Required:a. What is the companys total book value of debt?b. What is the companys total market value of debt? c. What is your best estimate of the aftertax cost of debt? Michael is trying to hang Christmas lights on his house. His house is 17 ft tall and the ladder leaning is 34 degrees above the ground. How long must the ladder be to reach the house? a 24 feet b 17 feet c 34 feet d 30 feet A plano-convex glass lens of radius of curvature 1.4 m rests on an optically flat glass plate. The arrangement is illuminated from above with monochromatic light of 520-nm wavelength. The indexes of refraction of the lens and plate are 1.6. Determine the radii of the first and second bright fringes in the reflected light. If alkali A has a pH value of 13 and alkali B has a pH value of 9, explain which is most likely to be used in indigestion tablets as a remedy for excess stomach acid. * 1. A star is 520 light years from Earth. During what event in history did thelight now arriving at Earth leave the star? what are the problems and the challenges in classifying living things WILL GIVE BRAINLYEST AND 30 POINTS Which of the followeing can be qritten as a fraction of integers? CHECK ALL THAT APPLY 25 square root of 14 -1.25 square root 16 pi 0.6 PLEASE ANSWER QUICKLY ASAP READ THE QUESTION CAREFULLY PLEASE The absolute value of the price elasticity of demand for gasoline in the long run has been estimated to be 1.5. If an extended war in the Middle East caused the price of oil (from which gasoline is made) to increase and remain high for a decade, how would that affect total expenditures on gasoline in the long run, all other things equal? (Hint: Consider the change in gasoline prices.) Describe how fossils provide evidence of evolution The time, X minutes, taken by Tim to install a satellite dish is assumed to be a normal random variable with mean 127 and standard deviation 20. Determine the probability that Tim will takes less than 150 minutes to install a satellite dish. Webcom. Inc. had the following current assets and current liabilities at the end of two recent years: Current Year (in millions) Previous Year (in millions) Cash and cash equivalents $8,297 $4,067 Short-term investments, at cost 422 458 Accounts and notes receivable, net 7,041 6,912 Inventories 3,581 3,827 Prepaid expenses and other current assets 1,479 2,377 Short-term obligations 4,815 6,205 Accounts payable 12,774 11,949Requried:a. What is the Current Ratio for the current year? b. What is the Current Ratio for the preceding year? c. What is the Quick Ratio for the current year? d. What is the Quick Ratio for the preceding year? e. What is the Working Capital for the current year? f. What is the Working Capital for the preceding year?