4.
Congratulations! You won a contest sponsored by a local radio station. If you were given the choice of the two payment plans listed below, which plan will pay you more? How much more? Be sure to show all evidence including formulas used for calculations.

A. $1 on the first day, $2 on the second day $3 on the third day etc. for 1 week.

B. $0.01 on the first day , $0.02 on the second day , $0.04 on the third day etc.. For 1 week.

Answers

Answer 1

Answer:

Step-by-step explanation:

a) 1 + 2 + 3 .... + 7 = 8*(3.5) = $28

b)  $0.01  

$0.02  

$0.04  

$0.08  

$0.16  

$0.32  

$0.64  

sum =  $1.27  


Related Questions

Please help me answer this question​

Answers

Answer:

a, 14.13. b, 39.25

Step-by-step explanation:

so for a the diameter is 6 so the radius is 3. The equation for the area of the circle is πr2. So 3x3=9. then 9x3.14=28.26. But then we have to divide by two cause we are finding only the shaded area. 28.26/2=14.13.

A is 14.13

for b, its the same thing, so the radiu is 5 and 5x5=25. 25x3.14=78.5, and divide two, so 78.5/2=39.25.

B is 39.25

WARNING: I am not sure this is correct, so if this is wrong i'm sorry, i'm learning too :)

In the diagram below, what is the approximate length of the minor arc AB?

Answers

Answer:

The answer is "Option C"

Step-by-step explanation:

Given:

[tex]r= 30 \ cm\\\\\theta =60^{\circ}[/tex]

Using formula:

[tex]\frac{A}{\theta}=\frac{\pi r^2}{2\pi}\\\\\frac{A}{\theta}=\frac{\pi r^2}{2}\\\\A=\frac{r^2\times \theta}{2}[/tex]

SOMEONE HELP ME PLEASE

Answers

Answer:

1/36

Step-by-step explanation:

There are 6 possible outcomes 1,2,3,4,5,6

P(1) = number of outcomes that equal1 / total

        =1/6

Roll again

P(1) = 1/6

These are independent events so we can multiply the probabilities

P(1 roll again 1) = 1/6 * 1/6 = 1/ 36

Type the correct answer in the box. Use numerals instead of words.
Consider this expression.
|m^2+n^2|

Answers

Answer:

34

Step-by-step explanation:

We are here given a modulus expression and we need to find out the value when m = -5 and n = 3 .

Modulus :- It always gives positive value . For example ,

[tex]\rm\implies |-a| = a [/tex]

[tex]\rm\implies |a| = a [/tex]

The given modulus expression is :-

[tex]\rm\implies |m^2+ n^2| [/tex]

As the number inside the modulus operator are already squared therefore they will always give positive value for real numbers . Here we can omit the modulus .

[tex]\rm\implies m^2 + n^2 [/tex]

Plug in the given values ,

[tex]\rm\implies (-5)^2 + 3^2 [/tex]

Solve 5² and 3² and add them ,

[tex]\rm\implies 25 + 9 [/tex]

On adding ,

[tex]\rm\implies 34 [/tex]

Therefore ,

[tex]\rm\implies \boxed{\blue{\rm |m^2+n^2| = 34 }}[/tex]

Hence the required answer is 34 .

Please answer correctly and I will give brainliest and crown plus an extra 20 points

Answers

Answer:

30.28 yd²

Step-by-step explanation:

Area enclosed = area of trapezoid + area of semicircle

= ½(a + b)*h + ½(πr²)

Where,

a = 5 yd

b = 2 + 5 = 7 yd

h = 4 yd

r = ½(4) = 2 yd

Plug in the known values

Area enclosed = ½(5 + 7)*4 + ½(π*2²)

Area enclosed = ½(12)*4 + ½(π*4)

= 6*4 + π*2

= 24 + 2π

= 30.2831853

≈ 30.28 yd² (2 decimal places)

Help again this is my last retake

Answers

The answer to this question is A, good luck :)

Given that x= –1/2 and y = 4 , evaluate 3x²y + xy²​

Answers

Answer:

-5

Step-by-step explanation:

3x²y + xy²​

Let x = -1/2 and y = 4

3(-1/2)^2 (4) + (-1/2) (4)^2

Exponents first

3(1/4) (4) + (-1/2) 16

Multiply

3 - 8

Subtract

-5

Answer:   [tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\huge \boldsymbol {-5}[/tex]

Step-by-step explanation:                                                                                                                                                                                                                     simplify it                                                                                                                  [tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd \displaystyle\ \Large \boldsymbol{} 3x^2y+xy^2=xy(3x+y)[/tex]                                                                       evalute                                                                                                        [tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd \displaystyle\ \Large \boldsymbol{} -\frac{1}{2} \cdot 4 (-3\cdot \frac{1}{2}+4)=-2\!\!\!\!\diagup\cdot\frac{5}{2\!\!\!\!\diagup} =\boxed{-5}[/tex]                                                                                                                                                                                                                                                              

What is the solution to the linear equation?

x – StartFraction 2 Over 3 EndFraction x minus StartFraction one-half EndFraction equals StartFraction 1 Over 3 EndFraction plus StartFraction 5 Over 6 EndFraction x. = + x

x = –5
x = –negative StartFraction 1 Over 6 EndFraction
x = StartFraction 1 Over 6 EndFraction
x = 5
Central and Eastern Europe experienced ethnic tensions in the early 1900s primarily because

Answers

Answer:

Step-by-step explanation:

Using trig to solve for missing angles

Answers

Answer:

0.9⁰

Step-by-step explanation:

let unknown angle be x

sin x=47/60

sin x=0.783333

x=sin(inverse) 0.7833333

x=0.9⁰

The sides of a triangle are 3x+ 2, 6x, and 5x. Find the expression to represent the perimeter. To find the perimeter, we ADD the three sides​

Answers

Answer:

3x+2+6x+5x

Step-by-step explanation:

perimeter of triangle = side 1 + side 2 + side 3

expression of the perimeter of triangle 3x+2+6x+5x

perimeter of traingle = 14x + 6

The expression 14x + 2 represents the perimeter of the triangle in terms of "x."

To find an expression that represents the perimeter of a triangle.

The perimeter is the sum of all three sides of the triangle. We have three sides with different lengths given by the expressions 3x + 2, 6x, and 5x. To find the expression representing the perimeter, we just need to add these three sides together.

Let's represent the sides as follows:

- The first side of the triangle is denoted as "a," which has a length of 3x + 2.

- The second side is denoted as "b," with a length of 6x.

- The third side is denoted as "c," having a length of 5x.

Now, let's find the expression for the perimeter, which we'll call "P." To do that, we add the three sides together:

P = a + b + c

Substitute the given expressions for the sides into the equation:

P = (3x + 2) + (6x) + (5x)

Now, let's simplify the expression by combining like terms (terms with the same variable "x"):

P = 3x + 2 + 6x + 5x

To further simplify, add the coefficients of the "x" terms:

P = (3 + 6 + 5)x + 2

Now, add the coefficients: 3 + 6 + 5 = 14, so the expression for the perimeter becomes:

P = 14x + 2

The expression 14x + 2 represents the perimeter of the triangle in terms of "x."

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Solve for x.
x - 42 = 98 – 9x
x = [?]

Answers

Answer:

x=14

Step-by-step explanation:

x - 42 = 98 – 9x

x+9x=98+42

10x=140

x=14

Answer:

[tex]x - 42 = 98 - 9x \\ x + 9x = 98 + 42 \\ 10x = 140 \\ x = 14 \\ thank \: you[/tex]

A runner covers the last straight stretch of a race in 3 s. During that time, he speeds up from 5 m/s to 11 m/s.What is the runner's acceleration in this part of the race? ​

Answers

Answer:

From first Newton's equation of motion:

[tex]{ \bf{v = u + at}}[/tex]

Substitute the variables:

[tex]{ \tt{11 = 5 + (a \times 3)}} \\ { \tt{3a = 6}} \\ { \tt{a = 2 \: {ms}^{ - 2} }}[/tex]

Acceleration is 2 ms-²

simplify -8/2 ÷ 6/-3​

Answers

Answer: the answer is 2 or C

-8/2 x -3/6

*Always do the recipical*

(-8 x -3) / (2 x 6)

-8 x -3= +24

2 x 6= 12

24/12= 2

The solution of the given expression -8/2 x -3/6 is 2. The correct option is B.

What is an expression?

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

Given that the expression is,

-8/2 x -3/6

The expression will be solved as below,

E = (-8 x -3) / (2 x 6)

The numerator will get reciprocal and multiplied to the denominator,

E = 24 / 12

Divide the number 24 by 12 and get the solution,

E = 2

Therefore, the solution of the expression will be 2. The correct option is B.

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Arturo's goal is to find a job that provides an income of at least $60,000 a year. Kristen's Furniture offers him a job paying a base salary of $14,000 a year, plus a commission of 7% of his sales. Determine what Arturo's total sales will need to be for him to have a yearly income greater than or equal to $60,000.

If Arturo takes the job with Kristen's Furniture, he will need to have at least
$
in total sales to have a yearly income greater than or equal to $60,000 per year.

Answers

Answer:

He will need at least 657,142.86

Step-by-step explanation:

Determine how much commission he needs

60000-14000

46000

Commission is 7%

Let x be the sales

x*7% = 46000

x*.07 = 46000

Divide each side by .07

x = 46000/.07

x =657142.85714

Rounding to the nearest cent

x = 657,142.86

find the original price if the price was 420 after a 10% discount

Answers

Answer:

466.67

Step-by-step explanation:

Let p be the original price

p - 10 % p = 420

p - .10p = 420

.9p = 420

Divide each side by .9

.9p/.9 = 420/.9

p =466.666666

Rounding to the nearest cent

p = 466.67

The total cost of a flower bouquet depends on the types of flowers in the arrangement. A bouquet containing 6 roses, 3 lilies, and 2 carnations costs $26.75. A bouquet containing 3 roses, 4 lilies, and 5 carnations costs $25.50. A bouquet containing 1 of each flower costs $6.75. Which system of equations represents this situation, where r represents the number of roses, l represents the number of lilies, and c represents the number of carnations?

Answers

Answer:

Roses 2.70, Lillies 2.45, Carnations 1.60

The simple interest formula is I = Prt, where I represents simple interest on an amount, P, for t years at a rate of r, where r is expressed as a decimal.

What is the amount of money, P, that will generate $40 in interest at a 10% interest rate over 5 years?

$60
$80
$90
$100

Answers

Answer:

80

Step-by-step explanation:

I = Prt

I = 40  R = .10  T = 5

40 = P (.10)(5)

40 = P(.5)

Divide each side by .5

40/.5 = .5P/.5

80 = P

The interest over 5 years is $80.

The correct option is B.

What is the simple interest?

Simple interest is the borrowing amount added only to the principal amount.

The Formula to calculate the simple interest is;

                                                 S.I. = P x T x R / 100,

Where S.I. is simple interest, P is the principal amount, T is the time period and R is the interest rate in a year.

We can use the formula I = Prt to solve for P. We know that I = 40, r = 0.10, and t = 5. Substituting these values, we get:

40 = P(0.10)(5)

Simplifying:

40 = 0.5P

Dividing both sides by 0.5:

P = 80

Therefore, the amount of money, P, that will generate $40 in interest at a 10% interest rate over 5 years is $80.

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25. A pizza shop offers 30% off the price of a large pizza every Tuesday
night. If the regular price is $25, what is the discounted price?

Answers

Answer:

25 -(.3*25)

25-7.50 = $17.50

Step-by-step explanation:

Answer:

17.50

Step-by-step explanation:

First find the amount of the discount

25 * 30%

25 * .3

7.5

Subtract this from the original amount

25 - 7.5

17.50

what is the solution to this?

Answers

Answer:

x = -3,y = 2

Step-by-step explanation:

3x-2y = -13

4x-3y = -18

~~~~~~~~~~~~~~~~

9x -6y = -39

-8x+6y = 36

x = -3

-12 -3y = -18

-3y = -6

y = 2

If I take a 7 question multiple choice test, with 4 choices per question, what is the probability that I get 1 wrong

Answers

Answer:

The probability is [tex]\frac{3}{4^7}[/tex].

Step-by-step explanation:

Total questions = 7

Number of choices of each question = 4

Probability to give the correct answer = 1/4

Probability to give the wrong answer = 3/4

Probability to give 1 answer wrong

[tex]\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}\\\\= \frac{3}{4^7}[/tex]

What is the standard deviation of the following data set rounded to the nearest tenth? 300,785,670,187,760,724

Answers

Answer:

S.D = 236.5

~~~~~~~~~~~~~~~~~~

300,

785,

670,

187,

760,

724

Answer:

300, 790, 670, 190, 760, 720

If 1 ounce of silver costs $5.50, how much money is needed to buy 2 1/2 pounds of silver?
16 oz = 1 pound

Answers

Answer:

0.858

Step-by-step explanation:

2 1/2 from oz to pound is 0.156 and then mutiply that by 5.50 is 0.858

5^3x +2 = 25^x – 8

step by step please​

Answers

Answer:

-8

Step-by-step explanation:

It wont let me upload anything so i will come back with steps later

If one angle of a triangle is 60°and the ratio of other two is 1:3,find all the angles and the ratio of the sides.​

Answers

Answer:

30, 90

1 : √3 : 2

Step-by-step explanation:

let the smaller angle be x

hence, the other angle = 3x

180-60=4x

4x = 120

x = 120/4 = 30

other angle = 3(30) = 90

the triangle is a 30-60-90 triangle,

hence the ratio of the sides are 1:√3:2

( short leg : long leg : hypotenuse )

Use the given conditions to write an equations for the line in slope- intercept form. passing through (1,-8) and (-7,8)

Answers

Answer:

y = -2x - 6

Step-by-step explanation:

Going from the first point to the second, we see x decreasing by 8 from 1 to -7 (this is the 'run') and y increasing by 16 from -8 to +8 (this is the 'rise').  Thus, the slope of the line through these two points is m = rise/run =  16/(-8) = -2.

Using the point-slope formula y - k = m(x - h) and the point (1, -8), we get:

y + 8 = -2(x - 1), or

y = -8 - 2x + 2, or

y = -2x - 6 (in slope-intercept form)

Find the measure of 2

Answers

Answer:

92

Step-by-step explanation:

Angle 2 and 92 are corresponding angles and corresponding angles are equal when the lines are parallel

Answer:

[tex]\angle 2=92^{\circ}[/tex]

Step-by-step explanation:

When two parallel lines are cut by a traversal, their corresponding angles are always equal. Corresponding angles can be found if you took each point of intersection and aligned them up with each other.

In this case, we see that [tex]\angle 2[/tex] and the angle marked as 92 degrees correspond with each other. Since all corresponding angles are equal, we have:

[tex]\angle 2=\boxed{92^{\circ}}[/tex]

A piece of fabric is 1/3 yard by 3 5/8 yards.
Irma solves 1/3*3 5/8 to find the area of the fabric in square yards.

Enter numbers to complete Irma's calculation for the area. (TTM)

Answers

Answer:

favricis 1/3 yard bt 3 5/8 yards wich it will be 64

Which expression is equivalent to (x^-6/x-2)^3

Answers

Answer:

= (6/x - 2)^3

Independent Practice


Find the number of solutions of the equation.

0 = x2 + 2x + 9


A.
3


B.
2


C.
1


D.
0

Answers

Answer:

Option D

Step-by-step explanation:

There are no real solution for the given equation

Answered by GAUTHMATH

the numbers written in rectangles are the products of the numbers in connecting circle. Please solve it fast its urgent ​

Answers

Answer:

It is the third one

Step-by-step explanation:

c

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