Suppose the function y = 30,000(1.06)x models the annual profit for a small business x years after 2000. Find the profit at the end of 2011.

Answers

Answer 1
Answer:    $56,948.96

========================================================

Work Shown:

We plug in x = 11 since 2011 is 11 years after the year 2000.

y = 30,000(1.06)^x

y = 30,000(1.06)^11

y = 30,000*1.89829855833542

y = 56,948.9567500626

y = 56,948.96

The profit at the end of 2011 was approximately $56,948.96


Related Questions

Please help

Answer is 15 but I don’t know how to show my working

Answers

Answer: 15

Step-by-step explanation:

Factors:

75: 1, 3, 5, 15, 25,

15: 1, 3, 5, 15

Write out all the factors of each number and circle the highest factor that both numbers have

Factors of 75 are 1,3,5,15
Factors of 105 1,5,15,
they both have a relative factor of 15 and it is the highest so the answer is 15

Can someone help me

Answers

Answer:

12        4          (12, 4)

18        6          (18, 6)

Step-by-step explanation:

On coordinate plane, the "add 6" column values are x-axis values and "add 2" column values are y-axis values.

Help please thank you

Answers

Answer:

200.06

Step-by-step explanation:

Area= πr2

Divide 16/2 to get radius

A= 3.14 x 8 x 8

A= 3.14 x 64

A= 200.06

For the data shown in the scatter plot below, identify a point apart from the main cluster
У
10
8.
6
4
2
х
o
2 4
6 8
10
O (4,7)
O (1.4)
O (3,5)
O (87)

Answers

The answer is (8, 7)

Find the slope of the line that passes through (6, 7) and (9, 3).
Simplify your answer and write it as a proper fraction, mixed number, or
integer.

Answers

Slope = Y2-y1 divided by X2-X1
So it would be m= 3-7 over 9-6 = -4/3
Answer: -4/3, or rounded would be -1.333333 repeated

Answer:

Slope of line passing through two points

                           [tex](x_{1}, x_{2} ) \ and \ (y_{1}, y_{2} ) \ is\ \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

Slope of the line passing through (6, 7) and (9, 3)

                               [tex]\frac{3-7}{9-6} = \frac{-4}{3}[/tex]

HELP ASAP it’s from i-ready I’m in 8th grade help

Answers

Answer:

0.25

Step-by-step explanation:

use desmos for this, it's very helpful :)

A system of linear equations for the variables x and y is shown.
y=-x-4
3y=cx-18
For what value of c, if any, will this system have no solution? Justify your answer.

Answers

Answer: -3

Step-by-step explanation:

Given

Equations of the lines are

[tex]y=-x-4\\3y=cx-18[/tex]

For the system of linear equation [tex]a_1x+b_1y=c_1,a_2x+b_2y=c_2[/tex] has no solution if

[tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}[/tex]

Rewrite the equations

[tex]x+y=-4,\ cx-3y=18[/tex]

Insert the values for the no solution condition

[tex]\Rightarrow \dfrac{1}{c}=\dfrac{1}{-3}\\\\\Rightarrow c=-3[/tex]

Therefore, for c=-3, the system of linear equation ha no solution.

WHICH OPTION SHOWS THE VOLUME
WILL MARK BRAINLIST GOD BLESS U

Answers

Answer:

128

Step-by-step explanation:

In math, volume can be defined as the 3-dimensional space enclosed by a boundary or occupied by an object.

Answer:

256π cm³

Step-by-step explanation:

πr²·h=Volume

π·(4)²·16=π·16·16=256π cm³

Enter an estimate. Round each mixed number to the nearest whole in your estimate

Answers

Answer:

1. 4-2=2

2.2 10/21

Step-by-step explanation:

What is the product (7 times 10 to the power of -5) times (5 times 10 to the power of -8)

Answers

Answer:Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

3.5×10^−12

Step-by-step explanation:

in simple terms 3.5×10^−12 or 3.5 times 10 to the power of -12

Solve for x, and JUSTIFY your answer.

Answers

It is vertical angels so your answer will be 40 degrees

PLEASE HELP! No random links.

Answers

I believe the answer would be D.

Answer:

B and F are non-statistical questions

Step-by-step explanation:

B is asking how many years until you are 16; this is not statistical because it just a fact. F is pretty much the same because it's just asking a subjective fact-like question.

Statistical questions ask for a collection of varying data. If there is only one data point, it is non-statistical.

Jennifer made a cake and brownies .Her
cake dish was 8 inches long 5 inches wide and
2 inches deep. Her brownie tin was 9 inches
long, 4 inches and 2 inches deep Which dich
has a larger volume? By how much?

Answers

Answer:

cake 90

Step-by-step explanation:

8×5×2=90

length ×width ×height

about 240,000 people live in a 3-mile radius of a citys town hall. find trhe population density in people per square mile

Answers

Answer:

80000

Step-by-step explanation:

A group of students must collect at least $120 to organize a science fair. They have already collected $30. Which graph best represents all remaining amounts of money, in dollars, that the students should still collect to organize the science fair?

Number line graph with closed circle on 120 and shading to the right
Number line graph with closed circle on 90 and shading to the right.
Number line graph with closed circle on 150 and shading to the right
Number line graph with closed circle on 30 and shading to the right.

Answers

Answer:

B.) 90

Step-by-step explanation:

Number line graph with closed circle on 90 and shading to the right. It shows that 90 should be greater or more. So its B.

I hope this helped! I also took the test and got it correct! :)

Solve 10^(x + 2) = 34

Answers

Answer:

-.4685

Step-by-step explanation:

[tex]x^y=z\\y=log_zy\\10^{x+2}=34\\x+2=log_{10}34\\x+2=log34\\x+2=1.531478917\\x=-.468521083[/tex]

help please ASAPPPPP

Answers

Answer:

the height is 11 units the base is 12 units and the area is (i think) 84

How many inches below average was the precipitation for both March and April?

Answers

Answer:

4 and 3/4 inches less for April

and 1 and  1/2 inches  less for March

Step-by-step explanation:

Hope it’s right good luck

convert 54and1/8% into decimal form

Answers

Answer:

I think it will be 54.125%

Answer:

13.04

Step-by-step explanation:

[tex]54\frac{1}{8}[/tex] %

0.54 + 12.5

13.04


Find the sum of integers satisfying 3x - 11 > 8
B) -3
A) 4
C) 4
D)8
E) infinity​

Answers

D is the correct answer

Need some assistance yall look at picture :) Algebra 2 type vibe

Answers

Answer:

It is C.

III is saying that the two functions are inverse functions. If two functions, f(x) and g(x) are inverse, then f(g(x)) = x and g(f(x)) = x. Therefore, we see that if III is true, then I and II should also be true. Now, all we have to prove is that f(x) and g(x) are inverse functions. As we said before, if two functions are inverse, then f(g(x)) = x and g(f(x)) = x.

f(g(x)) = 3([tex]\sqrt[3]{\frac{x-2}{3} }[/tex])^3 + 2

f(g(x)) = 3[(x-2)/3]+2

f(g(x)) = x-2 + 2

f(g(x)) = x

Therefore, we have proved that f(g(x)) = x, and so f(x) and g(x) are inverse functions, and so all of I, II, and III are true. Thus, the answer is C.

fyi, we didn't have to do g(f(x)) because if f(g(x)) = x, then so will g(f(x)).

General formula for
6 ; 8 ; 10 ; 12​

Answers

Answer:

[tex]an=2n+4[/tex]

Step-by-step explanation:

A hot alr balloon went from an elevation of 4,213 feet to an elevation of 3,443 feet In 28 minutes. What was its rate of descent?​

Answers

Answer:

The rate of descent is (1st picture's place)

Step-by-step explanation:

we know that

The formula to calculate the rate or slope between two points is equal to

Let

x------> the time in minutes

y----> the elevation in feet

we have

Substitute the values

*Note only the first picture worked*

The volume of a rectangular prism is 4800 cm3. The base is 12 cm long and 20 cm wide.
What is the height of the prism?

Answers

Answer:

A. 20cm hope this helps

Step-by-step explanation:

Alonzo worked for 13 hours each day for 6 days then he worked 7 hours how many hours it Alonzo work in all?

Answers

Answer:

85 hours

Step-by-step explanation:

Number of hours per day = 13 hours

Number of days = 6

Number of hours worked for 6 days = 6 days × 13 hours

= 78 hours

then he worked 7 hours

Total Number of hours worked = Number of hours worked for 6 days + 7 hours

= 78 hours + 7 hours

= 85 hours

Total Number of hours worked = 85 hours

Joseph has $12500 to invest in two different accounts. Account 1 pays 9% interest and account 2 pays 12%. After a year, the interest paid by account 2 is twice the interest paid by account 1. How much money did Joseph invest in each account?

Answers

How much money did Joseph invest in each account

Which is 1/3+1/4???

Answers

1/12 one teeth twelfth

Answer:a I think

Step-by-step explanation:

EASY FAST MATH!!! HURRY! RATING BRAINLIEST!!!!

Answers

Answer:

quadratic

Step-by-step explanation:

A grocery chain runs a prize game by giving each customer a ticket that may win a prize when the box is scratched off. Printed on the ticket is a dollar value ($500, $100, $25) or the statement "This ticket is not a winner." Monetary prizes can be redeemed for groceries at the store. Below is the probability distribution of the amount won on a randomly selected ticket. Which of the following are the mean and standard deviation, respectively, of the winnings? * 2 points Captionless Image $156.25 $53.85 $15.00, $2900.00 $15.00, $26.93 $15.00, $53.85 $156.25, $26.93

Answers

Answer:

[tex]Mean = \$15[/tex]

[tex]Standard\ Deviation = \$53.85[/tex]

Step-by-step explanation:

Given

See attachment for probability distribution

Required

Determine the mean and the standard deviation

The mean of the distribution is:

[tex]Mean = E(x)[/tex]

and

[tex]E(x) = \sum x * P(x)[/tex]

So, we have:

[tex]Mean = \$500 * 0.01 + \$100 * 0.05 + \$25 * 0.20 + \$0 * 0.74[/tex]

[tex]Mean = \$5 + \$5 + \$5 + \$0[/tex]

[tex]Mean = \$15[/tex]

So:

[tex]E(x) = 15.00[/tex]

The standard deviation of the distribution is:

[tex]S = \sqrt{Var(x)}[/tex]

Where:

[tex]Var(x) = E(x^2) - (E(x))^2[/tex]

[tex]E(x^2) = \sum x^2 * P(x)[/tex]

So, we have:

[tex]E(x^2) = 500^2 * 0.01 + 100^2 * 0.05 + 25^2 * 0.20 +0^2 * 0.74[/tex]

[tex]E(x^2) = 2500 + 500 + 125 +0[/tex]

[tex]E(x^2) = 3125[/tex]

So:

[tex]Var(x) = E(x^2) - (E(x))^2[/tex]

Where

[tex]E(x^2) = 3125[/tex]

[tex]E(x) = 15.00[/tex]

[tex]Var(x) = 3125 - 15^2[/tex]

[tex]Var(x) = 3125 - 225[/tex]

[tex]Var(x) = 2900[/tex]

Recall that:

[tex]S =\sqrt{Var(x)[/tex]

[tex]S =\sqrt{2900[/tex]

[tex]S =53.85[/tex]

30 pts ! The height of the Ferris wheel in feet can be represented by the function 50 cos (π/15(x-10))+52 with time in x seconds. When does the height of 80 feet occur on the interval 0

Answers

The time that the  height of 80 feet occur on the interval 0 is 4.662 seconds.

Given:

50 cos (π/15(x-10))+52

Height=80 feet

Time= x second

Hence:

height (h)= 50 cos [pie(x - 10 )/15 ] + 52

80 = 50 cos [pie( x - 10 )/15 ]+ 52

Collect like terms

80 - 52 = 50 cos [ pie( x - 10 )/15 ]

28 = 50 cos [ pie( x - 10 )/15 ]

cos [pie( x - 10 )/15 ] = 28/50

cos [ pie( x - 10 )/15 ] =56

cos [pie( x - 10 )/15 ]= cos ( 56 )

cos [ pie( x - 10 )/15 )]= cos ( 0.3111 pie )

Hence:

pie( x - 10 )/15 = 0.3111

( x - 10 )/15 = 0.3111

x - 10 = 15 × 0.3111

x - 10 = 4.662

x = 10 + 4.662

x = 14.662 seconds

Therefore the correct option is C.

Learn more about height here:https://brainly.com/question/1739912

#SPJ1

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