Mapiya writes a series of novels. She earned \$75{,}000$75,000dollar sign, 75, comma, 000 for the first book, and her cumulative earnings double with each sequel that she writes.

Answers

Answer 1

Answer:

[tex]E(n)=75000 \times 2^n[/tex]

Complete question:

write a function that gives mapiyas cumulative earnings E(n), in dollars when she has written n sequel's

Step-by-step explanation:

According to the question, she earned $75000 for the first book.

Also,We are  given that her cumulative earnings double with each sequel that she writes.

Assuming she has written n sequel's

Now since we are given that her cumulative earnings double with each sequel

So, her initial earning will be [tex]2^n[/tex] times

So, her earning will be : [tex]75000 \times 2^n[/tex]

Now we are given that cumulative earnings is denoted by E(n)

So, the function becomes :[tex]E(n)=75000 \times 2^n[/tex]

Hence a function that gives Mapiya's cumulative earnings E(n), in dollars when she has written n sequel's  is  [tex]E(n)=75000 \times 2^n[/tex]


Related Questions

Select the correct answer. Which economic indicator measures inflation? A. GDP B. CPI C. unemployment rate

Answers

Answer:

B

Step-by-step explanation:

The correct answer is CPI. It shows the average price over time paid by consumers.

Hope this helps! (Please consider giving brainliest)

P.S: This is not a mathematics question.

The economic indicator measures inflation among the options given is: C. unemployment rate

What is an economic indicator that measures inflation?

CPI (Consumer Price Index) is the appropriate economic indicator for assessing inflation as it monitors price fluctuations of a designated basket of goods and services, giving insights into average price changes.

Conversely, GDP (Gross Domestic Product) quantifies the total value of goods and services produced in an economy, while the unemployment rate measures the percentage of the labor force without jobs.

Therefore, the answer is: C. unemployment rate

Learn more about inflation on:

https://brainly.com/question/21586910

#SPJ6

Solve for b.

2b + 9 = b

b =

Answers

Answer:

-9

Step-by-step explanation:

9=b-2b

9=-b

divide both sides by -

b=-9

Answer:

[tex] \boxed{b = 9} [/tex]

Step-by-step explanation:

[tex] = > 2b + 9 = b \\ \\ = > 2b - b + 9 = 0 \\ \\ = > b + 9 = 0 \\ \\ = > b = - 9[/tex]

(Literal equations) The formula for the volume of a cylinder is V = πr^2h. Solve V = πr^2h for h, the height of the cylinder. A. h= π/Vr^2 B. h= πr^2/V C. h= V/πr^2 D. h= πV/r^2

Answers

Answer:

C

Step-by-step explanation:

Given

V = πr²h

Isolate h by dividing both sides by πr²

[tex]\frac{V}{\pi r^2}[/tex] = h → C

In a test (+5) marks are given for every correct answer and (-2) marks are given for every incorrect answer and 0 for answer not attempted. Ram gets 3 correct and 4 incorrect out of 7 questions he attempted. What is his score?​

Answers

Answer: He scored 7 marks

Step-by-step explanation:

Correct answer gets +5, so 5 * 3 = 15

Incorrect answer gets -2 so -2 * 4 = -8

So he scored 15 - 8 = 7

Arrange the trigonometric functions in increasing order of their values


cos π/6 sin π/6 cos π/2 sin π/2 cos π/4

Answers

Answer: pretty sure it's this

Step-by-step explanation:

Please help this is past due

Answers

Answer:

See below.

Step-by-step explanation:

Alexi originally has $43 in his bank account and deposits $7 per week.

Week 1: $50

Week 2: $57

Week 3: $64

Week 4: $71

Week 5: $78

The pattern is that it increased $7 every week starting from $43.

A pattern rule would be: y = 7x + 43 where x represents the number of weeks.

Factor 8d^2 - 18 ? HELP PLEASE!!!!

Answers

Answer:

2 ( 2d -3)(2d+3)

Step-by-step explanation:

8d^2 - 18

Factor out the greatest common factor 2

2(4d^2 -9)

Rewriting the terms in parentheses

2 (( 2d)^2 - 3^2)

We recognize that this is the difference of squares ( a^2 - b^2) = (a-b)(a+b)

2 ( 2d -3)(2d+3)

Answer:

[tex]2(2d-3)(2d+3)[/tex]

Step-by-step explanation:

[tex]8 {d}^{2} - 18 \\ 2(4 {d}^{2} - 9)

=2(2d-3)(2d+3) [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

what should be added to twice a rational Number -7/3to get 3/7

Answers

Answer:

107/21

Step-by-step explanation:

re - phrase the question algebraically:

-14/3 + y = 3/7

LCM of 3 and 7  = 21

-98/21 + y = 9/21

what should be added to -98 to make 9?

answer: 107

therefore answer: 107/21

Hope this helps.

Good Luck

Ronald spent $123.45 on school clothes. He counted his money and discovered that he had $36.55 left. How much money did he originally have?

Answers

Answer: Ronald originally had $160

Step-by-step Explanation:

First, you take the amount of money he spent, and you then add it to the amount of money he has after her bought school clothes, finally you would find out how much money he originally had.

$123.45+$36.55
= $160

Answer:

$123.45+$36.55

= $160

Step-by-step explanation:

Pat walked around a circular track she knew that the distance across The center was 100 meters if she walked around the entire track how far did she walk

Answers

Answer:

314.16 m

Step-by-step explanation:

The distance across the track is 100 metres. This means that the diameter is 100 m.

The track is circular, so, we need the circumference.

The circumference of a circle is given as:

C = πD

where D = diameter

Therefore, the circumference of the track is:

C = π * 100 = 314.16 m

She walked a distance of 314.16 m

Use the
DULive
(7 x 9) - (7 x 2) = (x (9 - 2)

Answers

Answer:

X=7

Step-by-step explanation: I

63-14=7x

7x=49

x=7

the answer to your question is x=7

what type of solutions does this equation have

Answers

Answer:

2 imaginary solutions

Step-by-step explanation:

What is the approximate area of a sector of a circle with a radius of 8 cm, and a minor arc of 70 degrees?

Answers

Answer:

39.0953=39cm2

Step-by-step explanation:

Minor arc =70

Angle of arc=70

Then this sector =70/360=7/36 of the circle

Then area = 7/36x3.14x8x8=39cm2 approximatly

Find the size of the final unknown interior angle in a polygon whose other interior angles are:

Answers

Answer:

Step-by-step explanation:(2ñ-4)90

(7×2-4)90

=900°

900-(162+125+148+105+98+115)

900-753

=147°

Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!

Answers

Answer:

work is shown and pictured

From a point on the ground the angle of elevation of the top of a tower is x°. Moving 150 meters away from that point the angle of elevation was found to be y° .If tan x=3/4 and tan y=5/7 find the height of the tower.​

Answers

Answer:

2250m

Step-by-step explanation:

Step 1

Since

Hence,

tan x = 3/4

tan y=5/7

tan x = BA/ CA where BA = height and CA = distance

3/4 = h/ d

4h = 3d

h = 3d/4.......... Equation 1

tan y = BA / DA + 150m

5/7 = h/d + 150

7 × h = 5(d + 150)

7h = 5d + 750............ Equation 2

Since h = 3d/4

7(3d/4) = 5d + 750

21d/4 = 5d + 750

Multiply both sides by 4

21d = 4(5d + 750)

21d = 20d + 3000

21d -20d = 3000

d = 3000

Distance (d) = 3000m

Substitute 3000m for d in equation 1

h = 3d/4

h = 3 × 3000/4

h = 2250m

Answer:

2250m

Step-by-step explanation:

[tex]tangent=\dfrac{opposite}{adjacent}[/tex]

We have:

[tex]\tan x^o=\dfrac{3}{4}\\\\\tan y^o=\dfrac{5}{7}[/tex]

By definition of tangent, we have:

[tex]\tan x^o=\dfrac{AB}{AC}\\\\\tan y^o=\dfrac{AB}{AC+150}[/tex]

Therefore we have the system of equations:

[tex]\left\{\begin{array}{ccc}\dfrac{AB}{AC}=\dfrac{3}{4}&(1)\\\\\dfrac{AB}{AC+160}=\dfrac{5}{7}&(2)\end{array}\right[/tex]

From (1)

[tex]\dfrac{AB}{AC}=\dfrac{3}{4}[/tex]             cross multiply

[tex]3AC=4AB[/tex]         divide both sides by 3

[tex]AC=\dfrac{4AB}{3}[/tex]

Substitute it to (2):

[tex]\dfrac{AB}{\frac{4AB}{3}+150}=\dfrac{5}{7}\\\\\dfrac{AB}{\frac{4AB}{3}+\frac{3\cdot150}{3}}=\dfrac{5}{7}\\\\\dfrac{AB}{\frac{4AB}{3}+\frac{450}{3}}=\dfrac{5}{7}\\\\\dfrac{AB}{\frac{4AB+450}{3}}=\dfrac{5}{7}\\\\AB\cdot\dfrac{3}{4AB+450}=\dfrac{5}{7}[/tex]

[tex]\dfrac{3AB}{4AB+450}=\dfrac{5}{7}[/tex]            cross multiply

[tex](3AB)(7)=(5)(4AB+450)\\\\21AB=(5)(4AB)+(5)(450)[/tex]

[tex]21AB=20AB+2250[/tex]         subtract 20AB from both sides

[tex]AB=2250[/tex]

Such a tower height is rather impossible, but this is the solution.

Find a coterminal angle to -180 degrees.

Answers

Answer:

540 degrees

Step-by-step explanation:

Find the value of x in the given right triangle.

Answers

Answer:

cosine = adjacent / hypotenuse

cosine (62) = x / 12

x = 12 * 0.46947

x = 5.6

Step-by-step explanation:

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each division expression with the correct quotient.
6x - 8
5x - 8
2x + 6
8r - 2
6x + 5
2x + 5
50 + 6
5.1 – 2
A:(1812 + 150) - 3.1
B:(16x2 + 48x) - 81
C:(56x2 - 14x) = 7x
D:(20x2 – 32x) = 4x

Answers

Answer:

A. 6 x + 5

B. 2 x + 6

C. 8 x - 2

D. 5 x - 8

Step-by-step explanation:

Given: division expressions

To find: quotient of each of the division expressions

Solution:

Use formula: [tex]\left ( \frac{x^m}{x^n} \right )=x^{m-n}[/tex]

A.

[tex]\frac{18x^2+15x}{3x}=\frac{18x^2}{3x}+\frac{15x}{3x}=6x^{2-1}+5=6x+5[/tex]

B.

[tex]\frac{16x^2+48x}{8x}=\frac{16x^2}{8x}+\frac{48x}{8x}=2x^{2-1}+6=2x+6[/tex]

C.

[tex]\frac{56x^2-14x}{7x}=\frac{56x^2}{7x}-\frac{14x}{7x}=8x^{2-1}-2=8x-2[/tex]

D.

[tex]\frac{20x^2-32x}{4x}=\frac{20x^2}{4x}-\frac{32x}{4x}=5x^{2-1}-8=5x-8[/tex]

Answer:

A.[tex]\frac{18x^2+15x}{3x}=6x+5[/tex]

B.[tex]\frac{16x^2+48x}{8x}=2x+6[/tex]

C.[tex]\frac{56x^2-14x}{7x}=8x-2[/tex]

D.[tex]\frac{20x^2-32x}{4x}=5x-8[/tex]

Step-by-step explanation:

A.[tex]\frac{18x^2+15x}{3x}[/tex]

[tex]\frac{3x(6x+5)}{3x}[/tex]

=[tex]6x+5[/tex]

[tex]\frac{18x^2+15x}{3x}=6x+5[/tex]

B.[tex]\frac{16x^2+48x}{8x}[/tex]

=[tex]\frac{16x(x+3)}{8x}[/tex]

[tex]=2(x+3)[/tex]

[tex]=2x+6[/tex]

[tex]\frac{16x^2+48x}{8x}=2x+6[/tex]

C.[tex]\frac{56x^2-14x}{7x}[/tex]

[tex]=\frac{14x(4x-1)}{7x}=2(4x-1)=8x-2[/tex]

[tex]\frac{56x^2-14x}{7x}=8x-2[/tex]

D.[tex]\frac{20x^2-32x}{4x}[/tex]

=[tex]\frac{4x(5x-8)}{4x}=5x-8[/tex]

[tex]\frac{20x^2-32x}{4x}=5x-8[/tex]

Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer:-5-1 c

Step-by-step explanation:

Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!

Answers

Answer:

-136x

Step-by-step explanation:

Pls brainliest

You can work a maximum of 40 hours a week. You need to make $440 in order to cover your expenses. Your office job pays $12 an hour and your babysitting job pays $10 an hour. What is the least possible number of hours you can work at your office job and still meet the requirements?

Answers

Answer:

The least possible number of hours you can work at your office job is 20.

Step-by-step explanation:

$12/h ----> office

$10/h ----> babysitting

"o" -----> hours office job

"b" -----> hours babysitting job

[tex]12x + 10y = 440\\x + y \leq 40\\12x + 10y = 440 -----> 6x + 5y = 220 ----> y = \frac{220-6x}{5} \\\\x + y \leq 40\\x + \frac{220-6x}{5} \leq 40\\5x + 220 - 6x \leq 200\\x \geq 20[/tex]

A toy store marks down every toy by 15% in June .how much does a toy cost during June

Answers

Answer:

  15% less than its regular price

Step-by-step explanation:

If the toy is marked down 15% in June, its cost during June is 15% less than its regular cost. (It will be 85% of its regular cost.)

I’m tryna figure out how find the value of x

Answers

Step-by-step explanation:

tan(37) = x/3

x=tan(37)*3

What is the solution to the system of equations?
-2x + 3y = 13
3x + 4y = 6

Answers

X=-2
Y=3

I guessed and checked, works for me most of the time

Answer:

x = -2

y = 3

Step-by-step explanation:

You are given a system of two linear equations:

-2x + 3y = 13

3x + 4y = 6

One of the good ways to solve this system is trying to eliminate one variable (x or y), calculate the remaining variable and substitute the calculated variable back into system to solve for eliminated variable.

Here, we will manipulate the original system, so that we can easily eliminate x.

Let's multiply both sides of the first equation by 3 and the second equation by 2 (this manipulating step does not change the original system of equations).

3*(-2)x + 3*3y = 3*13

2*3(x) + 2*4y = 2*6

<=>

-6x + 9y = 39

6x + 8y = 12

Now, we add up two equations, left side + left side, right side + right side, we obtain:

-6x + 9y + 6x + 8y = 39 + 12

or

17y = 51

We divide both sides of equation by 17, to get y.

=> y = 51/17 = 3

Substitute y = 3 back into the first equation of system (or the second equation, it doesn't matter, here we choose the first one).

=> -2x + 3*3 = 13

=> -2x + 9 = 13

=> -2x = 4

=> x = -2

=> The solution of this system is (x, y) = (-2, 3)

Hope this helps!

:)

The slope of a line is
oni -
and the y-intercept is 5. What is the equation of the line written in general
5'
form?

Answers

Answer:

I don't know what general 5' form means, but I'm guessing that means slope-intercept form, the easiest form of a linear equation. So we can use the equation for this is y = mx+b. M being slope, and b is the y-intercept. So that means that we will get an answer of:

y = 1x+5, you spelled 1 wrong so I just correct it.

Answer: y = x+5

who can please help solve and explain​

Answers

Answer:49882

when I put a number over a number it means I can't put the whole number inside the answer line so I toke out the last number and put it in

5 0 9

× 9 8

45810. this is from multiplying with the nine

+ 4062. this is from multiplying with the right

49882 this is the answer

u had to add the two answer and that's how I got 49882

Hopefully, you can read or see what I put just comment if not.

if x
varies directly as y.
x=5 and y=10. find the
Value of a x when y=
3​

Answers

Answer:

x = 1.5 when y = 3

Step-by-step explanation:

You can put this in a ratio:

x    :    y

5    :   10

1.5  :    3

x is 1.5 when y is 3.

Hector draws a triangle with exactly two sides that have the same length. Which of the following are possible ways to classify the triangle by its angle measures and side lengths? Select all that apply. A. right and isosceles B. acute and isosceles C. obtuse and scalene D. acute and scalene E. obtuse and isosceles

Answers

Answer:

I think it's A but I'm not sure

Find the exact value of each expression. sin75 degrees and cos(-75 degrees).​

Answers

Answer:

0.965925826

0.258819045

Step-by-step explanation:

→If you were to calculate [tex]sin(75)[/tex], you would have a total of:

0.965925826

→If you were to calculate [tex]cos(-75)[/tex], you would have a total of:

0.258819045

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