A singer earns $4 million in 2015. During the next 10 years, the earnings increase 7% each year. A. Write an exponential growth model giving the earnings y (in millions of dollars) t years after 2015. Write the base of the model as a decimal. An exponential growth model is y= b. In which year will the player's earnings first exceed $7,000,000?

Answers

Answer 1

Answer:

ninth year

Step-by-step explanation:

Given the general form of an exponential equation;

P = a(1 +r)^t

We can now write in this particular case;

y = 4 * 10^6(1 + 0.07)^t

The year in which y reaches 7 * 10^6 dollars is

7 * 10^6 =  4 * 10^6 (1 + 0.07)^t

7 * 10^6/4 * 10^6 = (1 + 0.07)^t

1.75 = (1 + 0.07)^t

ln(1.75)= ln(1 + 0.07)^t

ln(1.75) = t ln(1 + 0.07)

0.5596 = 0.06766t

t = 0.5596/0.06766

t = 8 years

So, in the ninth year;

y =  4 * 10^6 (1 + 0.07)^t

y = 4 * 10^6 (1 + 0.07)^9

y = 7.35 * 10^6

Hence, the player's earnings first exceed $7,000,000 in the ninth year.


Related Questions

please answer number 7

Answers

Answer:I think it would be a

Step-by-step explanation:I'm pretty sure it's a because near the origin is 0,0 but it would be a positive then a negative

Select all the expressions that have the same value.
33

34

62

63

92

93

Answers

Answer:

There's no expressions.

How many unique triangles can be drawn with side lengths 8 in., 12 in., and 24 in.? Use the drop-down menus to explain your answer.
The side lengths can be used to draw
Choose...(an infinite number, 1, 2 or 0)
unique triangles because the two side lengths
Choose...(8&24, 24&12, 12&8)
add together to a sum that is
Choose...(less than, greater than)
the third side length.

Answers

Answer:

The side length can be used to draw (0) unique triangles because the two side lengths (8 and 12) add together to a sum that is (less than) the third side length

Step-by-step explanation:

Is a triangle with side lengths of 5, 10, and 15 a right triangle? Explain

Answers

Answer:

No, it is not a right triangle.

Step-by-step explanation:

Using the property of the right triangle, square root (5^2 + 10^2) = 5root(5), and it is not equal to 15, so it is not a right triangle.

If triangle is a right triangle we can use Pythagorean theorem, c^2=a^2+b^2
c=15, a=5, b=10
15^2=5^2+10^2
225=25+100
225=125
225 is not equal to 125 therefore, this triangle is not a right triangle.

How do i get the median of a set of numbers?

Answers

Answer:

first, arrange the numbers then classify the number into two like if there are 7 numbers classify into three then the middle one will be the median

Twelve inches is cut from a board. The
remaining board is 18 inches long. Write
an equation to represent the situation. I NEED WORK TOO

Answers

Answer:

x-12=18

x=30

Step-by-step explanation:

x-12=18

that's the equation

add 12 to each side, cancelling out the -12

x=30

ok so is that what you mean by work?

I need help on this and the first person who answer correctly gets a BRANLIST​

Answers

Answer:

It's 102

Step-by-step explanation:

in triangles they have to equal to 180

41+37=78

180-78=102

Your answer will be 102.

I need help with this.

Answers

9514 1404 393

Answer:

  (x, y) ⇒ (x -5, y +3)

Step-by-step explanation:

Pick a point on the original polygon. The extreme left point (at (1, 0)) will do.

Locate the corresponding image point on ABCDE. (It is point B(-4, 3).) Using coordinates, or counting grid squares, determine what must be added to the original point to get the image point.

Here, that addition is 5 squares left and 3 squares up:

  image - original = (-4, 3) -(1, 0) = (-5, 0)

So, the transformation rule adds -5 to each x-coordinate and 3 to each y-coordinate:

   (x, y) ⇒ (x -5, y +3)

Can someone help me with this circle geometry problem (question 1) ty

Answers

Step-by-step explanation:

1. Radius=3cm, diameter=6cm

Circumference=3.14×6cm=18.84cm

2. Radius=6in, diameter=12in

Circumference=3.14×12in=37.68in

3. Radius=9mm, diameter=18mm

Circumference=3.14×18mm=56.52mm

look i can ask what ever questions i want to ask so don't delete my stuff okk now my question its what is 1+1 in decimal form ?????

Answers

Answer:

2.00 is your answer lol i think

Step-by-step explanation:

please mark as brainllest

Riley counted the number of balls on one layer of a box, 34. The box has 8 layers. How many balls can the box hold?

Answers

Answer:

8 times 34= 272

Step-by-step explanation:

Central High wants to estimate the number of seniors who plan to go to a 4-year college. Answer the following.

Answers

Answer:

390 seniors

Step-by-step explanation:

13/20=.65

600x .65=390

390 would plan to go to college

Help me with this please

Answers

Answer:

the answer for b=6

Step-by-step explanation:

how:

it is 6 because go down the y-axis until the line stop on the y-axis and the line stop exactly on the 6 so i make 6 the answer to be

hope that helps

if it is correct please mark as brainliest

thank you

19NBoli

:)

Which of the following angles are congruent to 5? Select all that apply.

Answers

Step-by-step explanation:

in my opinion, maybe it's ∠1 and ∠4

∠1 and ∠4 are congruent to ∠5 by corresponding and alternate angle theorem.

What is a transversal?

We know when a transversal intersects two parallel lines at two distinct points,

Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.

Given, line l and line m are intersected by a transversal line t.

Angles congruent to ∠5 is ∠4 by alternate interior angle theorem.

∠1 is also congruent to ∠5 by the corresponding angle theorem.

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A sweater is 15% off. The regular price is $24. What is the price after the discount is taken off?

Answers

Answer:

$20.40 after the discount

Step-by-step explanation:

To find 15% of 24, you multiply 24 and 0.15, which gets you 3.6

Then, to find the price after the discount, you subtract the 15% (the 3.6). So, 24 - 3.6 = $20.40

3.60 cent because when you multiply 0.15 by 24$ you get 3.6 .

Whoops i forgot to read the lesson :P 30 points

Answers

Step-by-step explanation:

I'll do 2.

Alright,Alex let say we have factored a quadratic into two binomial, for example

[tex](5x + 3)(6x - 4)[/tex]

If we set both of those equal to zero

[tex](5x + 3)(6x + 4) = 0[/tex]

We can used the zero product property in this case to find the roots of the quadratic equation.

This means that

[tex]if \: ab = 0 \: then \: a = 0 \: and \: b = 0[/tex]

This means we set each binomal equal to zero to find it root.

[tex]5x + 3 = 0[/tex]

[tex]5x = - 3[/tex]

[tex]x = - \frac{3}{5} [/tex]

[tex]6x + 4 = 0[/tex]

[tex]6x = - 4[/tex]

[tex]x = - \frac{2}{3} [/tex]

So our roots are negative 3/5 and negative 2/3 using zero product property

HELP ASAP!!!
Profit is the difference between revenue and cost. The revenue, in dollars, of a company that manufactures cell phones, can be modeled by the polynomial 2x2 + 55x + 10. The cost, in dollars, of producing the cell phones can be modeled by 2x2 – 15x – 40. The variable x represents the number of cell phones sold.

What expression represents the profit, and what is the profit if 240 cell phones are sold?

40x – 30; $2,400
40x – 30; $9,570
70x + 50; $16, 850
70x + 50; $28,800

Answers

Answer:

Given that the equation of the revenue is R=2x2+55x+10 and the equation of the cost is C=2x2 – 15x – 40, you will get the profit by subtracting the revenue from the cost: R-C=P. Therefore, P=(2x2+55x+10)-(2x2 – 15x – 40). You will get P=70x+50 where x is is the number of cellphones sold. If 240 cellphones are sold, then the profit is 16850 dollars.

Step-by-step explanation:

The profit expression is 70x + 50 and the profit if 240 cell phones are sold is $16,850

How to calculate profit

Revenue, R = 2x² + 55x + 10Cost, C = 2x² – 15x – 40

where,

x = number of cell phones sold.

Profit = Revenue - cost

= (2x² + 55x + 10) - (2x² – 15x – 40)

= 2x² + 55x + 10 - 2x² + 15x + 40

Profit = 70x + 50

If x = 240

Profit = 70x + 50

= 70(240) + 50

= 16,800 + 50

= $16,850

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marco has a rope that is 16 feet long. He ties his rope to liam and pams with a square knot that uses 1 1/8 feet of rope. How long are the three ropes tied together? Write and solve an equation

Answers

answer: 16(1 1/8x3)=y y=54

Step-by-step explanation:

1 1/8x3= 3 3/8

3 3/8x16=54

The length of the three ropes together is 54 feet.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Marco has a rope that is 16 feet long. He ties his rope to Liam and pams with a square knot that uses 1¹/₈ feet of rope.

The length will be calculated as,

E 16(1¹/₈x3)

E = 1¹/₈x3 = 3³/₈

E = 3³/₈x16

E = 54 feet

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ILL GIVE 50 POINTS AND BRAINLIEST!!! ;)

Answers

Answer:

X=5

Step-by-step explanation:

Answer:

60°

Step-by-step explanation:

<EAD is 180° as a whole

All that is needed is to subtract 100° and 20° from 180°

now you are left with x° which is 60° left over from the 180°


If sin(2x)=cos (x+30°), what is the value of x?

Answers

Answer:

x=20

Step-by-step explanation:

Please mark as brainliest

what's the value of
[tex] \frac{2 {}^{2} }{ {5}^{2} } [/tex]

Answers

Answer:

your answer will be 4/25

Step-by-step explanation:

.....

[tex] \sf Q) \frac{2 {}^{2} }{ {5}^{2} } = {?} [/tex]

[tex] \sf \implies \frac{2 {}^{2} }{ {5}^{2} }[/tex]

[tex] \sf \implies \frac{4}{25}[/tex]is the required answer.

PLEASE HELP QUICK!!

Which of the following is the correct factorization of the
polynomial below?
64x3 + 125
O A. (4x + 5)(16x2 - 12x+5)
O B. (4x + 5)(16x2 - 20x+ 25)
O C. (16x2 + 5)(5x-16x + 125)
O D. The polynomial is irreducible.

Answers

Answer:

B. (4x+5)(16x2−20x+25)

Step-by-step explanation:

64x3+125

=(4x+5)(16x2−20x+25)

(07.04)
The solution to 7x = 42 is x = ___.

4
5
6
7
Question 2(Multiple Choice Worth 3 points)
(07.04)
The cost of 3 slices of pizza is $4.89. What is the cost of each slice of pizza?

$1.63
$1.89
$2.45
$2.88
Question 3(Multiple Choice Worth 3 points)
(07.04)
The solution to 4.2x = 19.32 is x = ___.

0.28
0.45
4.6
15.12
Question 4(Multiple Choice Worth 3 points)
(07.04)
Which of the following is the solution to the equation 3 over 4y = 24?

y = 18
y = 32
y = 64
y = 72
Question 5(Multiple Choice Worth 4 points)
(07.04)
Joan has raised $306 by selling 34 equally priced boxes of chocolate for the team fund-raiser. Which of the following equations can be used to find the price, n, of each box of chocolate?

n ÷ 34 = 306
34n = 306
n − 34 = 306
n + 34 = 306
Question 6(Multiple Choice Worth 4 points)
(07.04)
1 over 4a = 2 over 3. Which of the following equals a in this equation?

1 over 6
3 over 8
11 over 12
22 over 3
You must check the box below prior to submitting your exam!

Check this box to indicate you are ready to submit your exam

Answers

Answer:

1. 6

2. $1.63

3. 4.6

4. 32

5. 34n = 306

6. 3/8

Step-by-step explanation:

Answer:

Question 1: 6

Question 2: $1.63

Question 3: 4.6

Question 4: y = 18

Question 5: 34n = 306

Question 6: 3 over 8

Brainliest Plz :)

FREE BRAINLIST FOR CORRECT ANSWERS

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Can I get brainly?

Casey described the data on a dot plot as having a spread from 0 to 5 and a center of 3. Which dot plot shows the data Casey is describing?

Answers

Answer:

D. number of reptiles

Step-by-step explanation:

The dot plot that Casey is describing shows the Number of Reptiles.

What is a dot plot?

A dot plot visually groups the number of data points in a data set based on the value of each point.

Given are three dot plots for different data, they are showing, Number of Mammals, Number of Amphibians and Number of Reptiles.

Casey described the data on a dot plot as having a spread from 0 to 5 and a center of 3.

The only similar description for the dot plot that Casey is describing is the graph which shows the Number of Reptiles, as it runs from 0 to 5.

Hence, the dot plot that Casey is describing shows the Number of Reptiles.

Learn more about dot plots, click;

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The question do not have graph, so, I solved the question attached in the solution.

help with this plz!!

Answers

Answer:

the answer is B

Step-by-step explanation:

please makr brainliest

Help For A Brainliest Please !

Answers

Answer:

ab = 6

a+b = 5

Step-by-step explanation:

Oliver is trying to keep up with the current amount of money in his bank account he uses positive numbers to show his the positive and negative numbers to show his withdraw which expression best represents Oliver making 8 withdraws $25

Answers

Answer: c

Step-by-step explanation:

The expression that best represents Oliver making 8 withdraws $25 should be considered as 8(-25).

Calculation of the expression:

Since the positive and negative numbers to show his withdraw which expression best represents Oliver making 8 withdraws $25

So here the withdrawn amount should be $25

And, the earning is $8

So here the expression be like 8(-25).

Learn more about expression here: https://brainly.com/question/24422266

I walk to the bike shop at 3 miles per hour and cycle back along the same route at 12 miles per hour. What is my average speed, in miles per hour, for the time I am actually travelling on the route?

Answers

Answer: 7.5 miles per hour

Step-by-step explanation:

First speed was 3 miles per hour.

Second speed was 12 miles per hour.

To do an average, add both speeds and divide by two, which is the number of trips made.

= (3 + 12) / 2

= 15 / 2

= 7.5 miles per hour

The volume of a sphere is 113.1 cm3; find the diameter of the sphere.

Answers

Answer:

del

Step-by-step explanation:

d

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