Answer:length 30, width 18
Step-by-step explanation:
60% +100%=160%
160% × 2 = 320 %
96/320 = 0.3 ×100 =30 ( length)
30 × 0.6 =18 (width)
Check: (18 + 30) 2 = 96
An investment pays 21% interest compounded weekly what percent as a decimal is the effective annual yield? Enter your answer as a decimal rounded to four decimal places.
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Answer:
0.2332
Step-by-step explanation:
The relationship between the effective annual yield (e) and the nominal annual interest rate (r) compounded n times per year is ...
e = (1 +r/n)^n -1
For weekly compounding, we have n=52, so ...
e = (1 +0.21/52)^52 -1 = 0.2332 . . . . . . . about 23.32%
solve 3x-4=√(2x^2-2x+2)
Answer:
Step-by-step explanation:
Begin the solution by squaring both sides of the given equation. We get:
(3x - 4)^2 = 2x^2 - 2x + 2, or:
9x^2 - 24x + 16 = 2x ^2 - 2x + 2
Combining like terms results in:
7x^2 - 22x + 14 = 0
and the coefficients are a = 7, b = -22, c = 14, so that the discriminant of the quadratic formula, b^2 - 4ac becomes (-22)^2 - 4(7)(14) = 92
According to the quadratic formula, the solutions are
-b ± √discriminant -(-22) ± √92 22 ± √92
x = ------------------------------- = ----------------------- = ------------------------
2a 14 14
Which choice shows 30 + 10 + 20 rewritten correctly using the commutative property and then simplified correctly?
A.30 + 20 + 10 = 50 + 10 = 60.
B.30+10+10+10=40+10+10=50+10=60
C.30+20+10=50+30=80
D.30+10+10+10=40+10=50
Answer:
A. 30+20+10=50+10=60
Step-by-step explanation:
The commutative property is the property of which you can rearrange the numbers around but the answer stays the same. From the original equation, you moved 20 and 10 around and added 30+20=50 then, you add 10 plus that 50 since you haven't done anything to the 10 yet. So, 50+10=60.
Hope this helped! Please rate 5 stars and give Brainliest!
enter the number that belongs in the green box
5x - 2 = 4 + 2x
3x - 2 = 4
3x = 6
x = 2
Hope this helps!
I need to know this answe ASAP
Answer:
look at the value of f(x) carefully when we put 7 from x the x take 2 value
Step-by-step explanation:
And g(x) function take 4 value. please look at the first option it has extra 2 so 2 plus 2 equal to 4 this means that the answer might be A. But look at D option it multiply by 2 so D option might be correct answer but we need some info and I want to continue. When I put 1 from x f(x)=1 and g(x)= 2 but when we look at the first option it is 1+2 equal to 3 but it must be 2 so the correct answer is not A and the correct answer is D
What is the Width of 6.36-9.24
Answer:
-2.88
Step-by-step explanation:
6.36-9.24= -2.88
5 increased by the product of -3 and a
number x
in algebraic expression
Answer:
5+(-3x)
Step-by-step explanation:
"5 increased by" means you are going to be adding 5 to something.
"product of -3 and x" means that you multiply -3 by x, creating (-3x)
The given statement "5 increased by the product of -3 and a number x" as an algebraic expression can be written as -3x+5.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given statement "5 increased by the product of -3 and a number x" as an algebraic expression can be written as,
Product of -3 and a number x⇒ -3 × x = -3x
Product increased by 5,⇒ -3x + 5
Hence, the given statement "5 increased by the product of -3 and a number x" as an algebraic expression can be written as -3x+5.
Learn more about Expression here:
https://brainly.com/question/13947055
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Please help find the probability that x >25.
Answer
The total probability is one:
Total probability of being greater than 25 is 1 because the totals of all values less than 25 is 1.
200% of 85 is what number
Step-by-step explanation:
hope it helps u..........
and pls mark as brainliat ans
A bank wishes to estimate the mean balances owed by customers holding Mastercard. The population standard deviation is estimated to be $300. If a 98% confidence interval is used and the maximum allowable error is $80, how many cardholders should be sampled?
A. 76
B. 85
C. 86
D. 77
Answer:
D. 77
Step-by-step explanation:
We have to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.98}{2} = 0.01[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a p-value of [tex]1 - 0.01 = 0.99[/tex], so Z = 2.327.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
The population standard deviation is estimated to be $300
This means that [tex]\sigma = 300[/tex]
If a 98% confidence interval is used and the maximum allowable error is $80, how many cardholders should be sampled?
This is n for which M = 80. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]80 = 2.327\frac{300}{\sqrt{n}}[/tex]
[tex]80\sqrt{n} = 2.327*300[/tex]
[tex]\sqrt{n} = \frac{2.327*300}{80}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.327*300}{80})^2[/tex]
[tex]n = 76.15[/tex]
Rounding up:
77 cardholders should be sampled, and the correct answer is given by option d.
The length of a rectangle is three times its width. If the area of the rectangle is 300 in squared”, find its perimeter.
Which function has lowest rate of change?
5x – 2y = 15 (or) Cost of 5 pencils is 15 dollars
O Algebraic Function
O Verbal Description
Both the functions
O None of the choices
Answer:
A: Algebraic Function
Step-by-step explanation:
Algebraic function is given as;
5x – 2y = 15
Since we are dealing with rate of change, let's make y the subject first and find dy/dx.
Thus;
2y = 5x - 15
y = (5x/2) - 15/2
dy/dx = 5/2
dy/dx = 2.5
The verbal function is given as;
Cost of 5 pencils is 15 dollars
Thus, rate of 1 pencil = 15/5 = 3 pencils per dollar
We can see that the lowest rate of change is 2.5 and it is the algebraic function.
For the z test, the critical region for rejection of H0 _________. Group of answer choices depends on N is determined only by alpha and N allows us to accept the null hypothesis is determined only by alpha
Answer:
allows us to accept the null hypothesis
Explanation:
The z test(in a normal distribution) score for the critical region determines whether we reject the null hypothesis(H0) or accept the null hypothesis(reject or fail to reject the null hypothesis). If we fail to reject the null hypothesis, then we have accepted the alternative hypothesis (H1). The critical region rejection for z test is calculated using alpha and z score, if z score is greater or less than alpha(positive or negative), we reject the null hypothesis.
I Miss math
What 2/3 ×5/7. = What
Step-by-step explanation:
heres the answer to your
Julio is paid 1.1 times his normal hourly rate for each hour he works over 28 hours in a
week. Last week he worked 43 hours and earned $631.90.
Enter and solve an equation to find Julio's normal hourly rate, r. Complete the explanation
how you know that your answer is reasonable.
The earnings equation is $631.90 =
Julio's hourly l'ate is $
per hour.
This is reasonable because working 43 hours at a rate of $14 per hour is
43 · 14 = 43(10 + 4) = 430 + 172 =
and $
is close to $631.90.
Answer:
43-28= 15 extra hours
normal hourly rate = a
extra hourly rate = 1.1a
28a + 15(1.1a) = 631.90
28a + 16.5a = 631.90
7. When running you discover you are only in second place. You were initially running at a speed of 18 km/h and
increase your speed to 21 km/h. It takes you 3 seconds to speed up to your new rate. What is your
acceleration
Step-by-step explanation:
check it out.
Hope it helps.
complete the square to form a true equation;
x^2-2x+__=(x-__)^2
Answer:
see explanation
Step-by-step explanation:
To complete the square
add ( half the coefficient of the x- term )² to x² - 2x
x² + 2(- 1)x + 1
(x² - 2x + 1 = (x - 1)²
What is the solution of log3x + 4 4096 = 4?
Step-by-step explanation:
X= - 1
X=0
X=4/3
X=3
We solve for x by simplifying both sides of the equation, then isolate the variable.
Answer :
C (x=4/3)
Last Thursday, each of the students in M. Fermat's class brought one piece of fruit to school. Each brought an apple, a banana, or an orange. In total, 20% of the students brought an apple and 35% brought a banana. If 9 students brought oranges, how many students were in the class
Answer:
20 students
Step-by-step explanation:
Step 1:
Calculate the percentage of students who brought oranges by taking away the percentage of students who brought bananas and apples from the total percentage of students.
100-(20+35)
=45
Step 2:
Equate the percentage of students who brought oranges to the number of students who brought oranges
45%=9
100%
(100×9)/45
=20 students
tìm cực trị của hàm số z(x,y)=x^{3}+y^{3}+3xy-30
Answer:
Hence, MEAN OF FIRST FIVE COMPOSITE NOS IS 7.5
Which number line represents the solutions to 1-2x = 4?
Answer:
The third choice down
Step-by-step explanation:
|-2x| = 4
There are two solutions, one positive and one negative
-2x = 4 and -2x = -4
Divide by -2
-2x/-2 = 4/-2 -2x/-2 = -4/-2
x = -2 and x = 2
Points A(p,6), B(-3,q) and C(r,8) are on a line whose equation is y=-2x+3. How find the unknown coordinates of A,B, and C?
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Answer:
p = -3/2q = 9r = -5/2Step-by-step explanation:
Put the given coordinates in the equation for the line and solve for the unknown.
y = -2x +3
(p, 6) ⇒ 6 = -2p +3 ⇒ p = -3/2
(-3, q) ⇒ q = -2(-3) +3 ⇒ q = 9
(r, 8) ⇒ 8 = -2r +3 ⇒ r = -5/2
Maria, Kevin, and Dan have a total of 96$ in their wallets. Dan has 6$ less than Maria. Kevin has 3 times what Dan has. How much do they have in their wallets?
Answer:
Hi Keke,
Let Amy have x dollars. Then Jose has x - 8 dollars and Milan has 4(x - 8) dollars.
x + (x-8) + 4(x-8) = 152
6x - 40 = 152
6x = 192
x = 32
Amy has $32
Jose has 32 - 8 = $24
Milan has 4*24 = $96
ou invested 7000 between two accounts paying 4% and 9% annual interest, respectively. If the total interest earned for the year was $430 how much was invested at each rate? $ nothing was invested at and $ nothing was invested at
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Answer:
$3000 at 9%$4000 at 4%Step-by-step explanation:
Let x represent the amount invested at 9%. Then 7000-x was invested at 4% and the interest earned was ...
9%·x +4%(7000-x) = 430
5%·x +280 = 430 . . . . . . . . . simplify
0.05x = 150 . . . . . . . . . . . subtract 280
x = 3000 . . . . . . . . . . divide by 0.05
$3000 was invested at 9%; $4000 was invested at 4%.
I need help on this one please
Hi
Income tax is progressive
So with 50 000 we have :
0.02*3000 + 0.03 ( 5000 -3001) + 0.05 ( 17 000-5001) + 0.0575 ( 50 000 - 17 001) = 60+ 59.97+599.95 + 1897.44 = 2617.36
tax is = 2617.36
At Dorcas's Hair Salon there are three hair stylists. 27% of the hair cuts are done by Martin, 30% are done by Jennifer, and 43% are done by Dorcas. Martin finds that when he does hair cuts, 6% of the customers are not satisfied. Jennifer finds that when she does hair cuts, 7% of the customers are not satisfied. Dorcas finds that when she does hair cuts, 3% of the customers are not satisfied. Suppose that a customer leaving the salon is selected at random. If the customer is not satisfied, what is the probability that their hair was done by Dorcas
Answer:
Dorcas's Hair Salon
If the customer is not satisfied, the probability that their hair was done by Dorcas is:
= 18.75%
Step-by-step explanation:
Number of hair stylists = 3
Martin Jennifer Dorcas Total
Percentage of haircuts
done 27% 30% 43% 100%
Percentage of dissatisfied
customers 6% 7% 3%
Proportion of dissatisfied
customers 37.5% (6/16) 43.75% (7/16) 18.75% (3/16)
If the customer is not satisfied, the probability that their hair was done by Dorcas
= 18.75%
Dividing integers
7. (-154) ➗ (-14) =
11. (-40) ➗10=
15. 90 ➗ (-15)=
16. 108 ➗ (-9)=
17. (-48) ➗ (-6)=
18. (-105) ➗ 7=
first we shall learn the rules.when numbers with same sign are divided it gives pisitive sign but, when numbers of different signs are divided it gives negetive sign.
here,
7. (-154) ➗ (-14) =11
11. (-40) ➗10=-4
15. 90 ➗ (-15)=-6
16. 108 ➗ (-9)=-12
17. (-48) ➗ (-6)=8
18. (-105) ➗ 7=-15
hope it helps you..........
which graph represents the absolute value of -3
[tex]\sf\huge\underline\color{pink}{༄Answer:}[/tex]
Slope: 0
y - intercept: (0, -3)
Kindly click the attached photo ^^
[tex]\color{pink}{==========================}[/tex]
#CarryOnLearning
[tex]\sf\color{pink}{༄⁂✰Bae \: Yoonah}[/tex]
The job Andrew has this summer paid 7.25 an hour and the job he had last Summer paid 6.50 an hour. how much more does Andrew earn in a 40 hour week this summer than he did in a 40 hour week last summer
Answer:
30 Dollars more
Step-by-step explanation:
This summer he earned = 7.25 X 40 = 290
Last summer he earned = 6.5 X 40 = 260
How much more he earned in 40 hours = 290-260= 30 dollars more
Answer from Gauthmath
A truck was driven a 140 miles in 3 1/2 hours. If a car is driven the same distance at an average speed of 20 miles an hour faster than the trucks average speed, how long will it take the car.
Find the speed of the truck:
140 miles / 3.5 hours = 40 miles per hour
The car was 20 miles an hour faster: 40 + 20 = 60 miles per hour.
Divide distance by speed: 140 miles / 60 miles per hour = 2 1/3 hours
Answer: 2 1/3 hours
Answer: 2 2/6 hours
Explanation:
Distance = 140 miles
Time = 3 1/2 hours
= 7/2 hours
Speed = Distance/Time
= 140/(7/2)
= 40 miles
New distance = 140 Miles
New Speed = 60 miles
New Time = 140/60
= 2 2/6 hours
Must click thanks and mark brainliest
