Autumn wants to invest $1000. The table below shows the value of her investment under two different options for three different years:

Number of years 1 2 3
Option 1 (amount in dollars) 1100 1200 1300
Option 2 (amount in dollars) 1100 1210 1331
Part A: What type of function, linear or exponential, can be used to describe the value of the investment after a fixed number of years using option 1 and option 2? Explain your reasoning. (4 points)

Part B: Autumn wants to invest in an option that would help to increase her investment value by the greatest amount in 7 years. Will there be any significant difference in the value of Autumn's investment after 7 years if she uses option 2 over option 1? Explain your answer, and show the investment value after 7 years for each option if the equation for option 1 is f(x)=100x + 1000 and the equation for option 2 is g(d) = 1000(1.1)d

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

Part A

According the table, the yearly amount increases by 100 dollars in option 1 and 1.1 times in option 2.

It means the function is linear in option 1 and exponential in option 2.

Part B

Calculate the amount of total value in each case substituting x or d by 7 and compare the amounts:

f(7) = 100*7 + 1000 = $1700g(7) = 1000*(1.1)^7 = $1948.72 (rounded)

As we see the option 2 is better choice and the difference is:

$1948.72 - $1700 = $248.72

Related Questions


[tex] \huge{꧁\: \large \frak{ \huge question } \: \huge꧂}[/tex]


what's the Answer ?

[tex]5 - 5 \div 5[/tex]

Answers

Answer:

[tex]5 \div 5 = 1[/tex]

[tex]5 - 1 = 4[/tex]

Hence , 4 is the answer !!

Answer:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Step-by-step explanation:

5/5 =1

5-1 = 4

*4 is the ANSWER

(Have a Great Day)

Molly O'Rourke assembles computers for Radius Computer. She works 8 hours per
day less 2 breaks at 15 minutes per break. She spends 45 minutes on each
computer. How many computers should she be able to assemble in one day?

Answers

Answer:

10

Step-by-step explanation:

I converted 8 hours to minutes so solve the equation easily

8 hours = 480 minutes

I subtracted the amount of time she takes for a break

480- (15+15) = 450

To find the number of computers she could repair I divided 450 by the number of minutes she spends repairing one computer.

[tex]\frac{450}{45}[/tex]= 10

Therefore, she could fix 10 computers during her 8 hours of work.

__________________________________________________________

Hope this helps!!

If I am wrong, please tell me, I enjoy learning from my mistakes:)

Find the value of 3x+ 4 when x = 2

Answers

Answer:

3x+4, x=2

3(2)+4

6+4=10

Hello there! :-)

To find the value of 3x+4 when x=2, all we have to do is substitute the value of 2 into the expression:

3x+4

3(2)+4

6+4

10

Therefore, the answer is 10.

Hope this helps. Use the comment section to clarify your doubts.

Answered by

~A felicitous teen who helps others with a smile on her face

Good luck with your studies. :)

Alex drives at an average speed that is 1 6 of the average speed that Roy's train travels. Alex takes 20 minutes to travel 12 km in her car. Roy travels for 2 hours and 20 minutes on his train. How far does Roy travel to 2 dp?​

Answers

Answer:

336.00?

not 100% sure though

can someone pls help i need your help

Answers

12 miles
hope this is helpful!

Answer:

12 miles

Step-by-step explanation:

You would have to divide $26.40 by $2.20 which equals 12 so she traveled 12 miles.

create an equivalent ratio to 20:24 by dividing both sides by 4

Answers

Answer:

5:6

Step-by-step explanation:

20 divided by 4 = 5

24 divided by 4 = 6

So the ratio is 5:6


Help me pls right now I give brainliest

Answers

Answer:

4 + (2 x 3)^2

Step-by-step explanation:

4 + 6^2

4 + 36

40

What is the area of the figure?

Answers

Answer:

So the answer would be 21 because the side is longer than 12 but not longer than 21

What is the volume of a cube with sides of length 15 mm?

Answers

I think the answer is 3375

What is the ratio of cosine of C?

A 24/7

B 24/25

C 7/25

D 25/24

Answers

Answer:

Cos C = adjecent/hypotenuse

Cos C = 14/50

divide the numerator and the denominator by 2

Cos C = 7/25

The answer is C

The equation and graph show the cost to rent movies
from two different companies. The cost is a function of
the number of movies rented.
Which description best compares the two functions?


Answers

Answer:

Hello! Your answer should be there is a higher rate of change at Company 1.

Step-by-step explanation:

Hope this helped! :)

Have a great rest of your day!

                                                   

Marsha used a graphing calculator to graph an expense and a revenue function for her family’s printing business. The graph looked like the one below. What are the approximate breakeven points? *

Answers

The approximate breakeven points of the given functions are 15 and 47.

The breakeven point is the point where the total revenue equals to total expenses.

At this point, there is no profit or loss. That is the net profit is zero and he net loss is zero.

From the given graph, the dashed line represents the expense function while the solid line represents the revenue function.

The breakeven point occurs at the intersection of the expense and revenue line.The first breakeven point occurs at x = 15.The second breakeven point occurs at x = 47.

Thus, the approximate breakeven points of the given functions are 15 and 47.

Learn more about breakeven points here: https://brainly.com/question/25641668

Answer: 15 and 47

Step-by-step explanation:

PLEASE NO LINKS AND NO NEGATIVITY

Answers

10p-40
do 2.5x4p and 2.5x16 and solve from there

A man owns a store. One week he sells 100 loaves of bread. If he sells twice as many loaves the next week, how many loaves did he sell in total

Answers

Loaves sold on the first week=100
Loaves sold on the next=2(100)=200
Total number of loaves=200+100=300

Please help guys this is just domain and range

Answers

Answer:

Domain: (0,3)

Range: (0,1)

Step-by-step explanation:

Domain is the interval of the x-axis of the graphed function

Range is the interval of the y-axis of the graphed function

Which expression is equal to the expression below ( 6.9)5

Answers

Answer:

270 or 34.5

Step-by-step explanation:

1. (6.9)= 54

54x5= 270

2. 6.9x5= 24.5

Hopes This Helps :)

There are 5 roses in a vase of 13 flowers. The rest are daisies.
a) What is the ratio of daisies to roses?
(b) What is the ratio of all flowers in the vase to daisies?
pls answer these

Answers

A)5:8
B)8:13
I’m not sure if this is right tho

plssssssssssssssssss​

Answers

Answer:

1. RQP

2. QOP

Step-by-step explanation:

the answer for the first question is RQP and the answer for the second question is QOP

Answer:

i)PQO

ii)QOP

Step-by-step explanation:

A water tank is being filled by two inlet pipes. Pipe A can fill the tank in 4 hours, while both pipes
together can fill the tank in 2 hours. How long does it take to fill the tank using only Pipe B?

Answers

2 Hours

this is because one pipe takes 4 hours, and if both pipes take 2 hours, that is cutting the time in half, meaning both pipes pour the same amount and take the same time.

hope this is helpful!

Plz solve the problem.

Answers

Answer:
If this is what your looking for, the answer may be:
x=7
Hope this helps!

Answer:

x = 7

Step-by-step explanation:

Mr. and Mrs. Ozawa are driving their family to a vacation spot 496 miles away. They want to get there in 8 hours. What is the average speed they need to drive?




Answers

The average speed Mr and Mrs Ozawa should drive is 62 miles per hour.

What is the difference between average and instantaneous speed?

The average speed is calculated for a period of time while instantaneous speed is calculated at certain instant of time.

For instantaneous speed and average speed are equal for an object moving with constant speed.

The total distance travelled is given as 496 miles.

And, the total time taken is 8 hours.

Average speed can be calculated by taking the ratio of total distance and time as follows,

Total distance ÷ Total time

⇒ 496 ÷ 8

⇒ 62

Hence, the average speed is given as 496 miles per hour.

To know more about speed click on,

https://brainly.com/question/28224010

#SPJ5



Select all of the phrases that could be
represented by the algebraic expression
3n - 3
This doesn’t make sense

Answers

The phrases that can be represented as the algebraic expression, 3n - 3 are: Option 3 and Option 5.

Let's translate each of the given phrases to algebraic expressions in order to determine which of them can be represented as 3n - 3.

Option 1:

3 fewer than n is represented as, n - 3

Option 2:

difference between n and 3 is represented as, n - 3.

Option 3:

3 times n is 3n

3 fewer than 3n is represented as 3n - 3.

Option 4:

product of 3 and n is represented as 3n.

Option 5:

3 less than 3n is represented as 3n - 3.

Therefore, the phrases that can be represented as the algebraic expression, 3n - 3 are: Option 3 and Option 5.

Learn more about algebraic expression on:

https://brainly.com/question/2164351

help pls!! 3rd answer wasn’t correct

Answers

Answer:

-3

Step-by-step explanation:

The k value represents when the function moves up or down.

Since there are no vertical compressions or shifts, we can just focus on how much the graph went down. The function g(x) went down 3 units.

Therefore, k would equal -3.


if f(x) = x^2 -5x +1 and g(x) =5x+4 what is the value of g•f (-2)

Answers

Answer:

The value of [tex]gof (-2)=79[/tex]

Step-by-step explanation:

We have

[tex]f(x) = x^2 -5x +1 \\\\f(-2) = (-2)^2 -5\times-2 +1 \\\\=15[/tex]

Now we need to find

[tex]gof (-2)=g(15)[/tex]

[tex]g(15) =5\times15+4\\\\=79[/tex]

2 people start from the same spot one walking east the other walking west, the person walking east walks slowly at 4mph and the other person walks fast at 6mph writr and solve a system of equations that can be used to determine how ong until 2 people are 2 1/2 miles apart from ach otherr

Answers

Answer:

3\5

Step-by-step explanation:

Haseena bought 1 pencil box, 4 pencils and 4 notebooks from a store. She paid Rs. 95 in all. Some ink fell on the bill that she got from the store. So the price of 1 notebook cannot be seen from the bill.What is the price of the one notebook?

Answers

The price of the one notebook will be Rs. 10.6

Let the price of one notebook be x.

If Haseena bought 1 pencil box, 4 pencils and 4 notebooks from a store, with a total of Rs. 95 paid in all, then;

1x + 4x + 4x = 95

9x = 95

x = 95/9

x = 10. 6

Hence the price of the one notebook will be Rs. 10.6

Learn more on ratio here: https://brainly.com/question/20346769

The graph shows a proportional relationship between the number of books sold at a yard sale and the amount of money collected from book sales.

Book Sales Revenue






What is the constant of proportionality?
0.67
1
1.5
2

Answers

Answer:

1.5

Step-by-step explanation:

6/4

Answer:

it's C. 1.5

Step-by-step explanation:

I did the test

Mathew grew a sunflower that was 1 7/8 meters tall. She cut 3/4meters off the height. How much of the steam is left?

Answers

First find a common denominator so how can you change 4 and 8 to be the same, multiply 4 by 2 and what you do to the bottom you have to do to the top. You should get 6/8. So, usually you would change the mixed number to an improper fraction but for this problem you don’t need to. Now you would subtract 1 7/8 -6/8 and that would be 1 1/8. Sometimes you need to simply you final answer but right now it’s already at the lowest it can go. Answer : 1 1/8 Hope this helped :)

Felipe jogs for 3 miles and then walks another 3 miles. He jogs 1 and 1/2 miles per hour faster than he walks, and the entire distance of 6 miles takes 3 hours. Find the rate at which he walks and the rate at which he jogs.

Answers

Answer:

walking: 1.5 mphjogging: 3 mph

Step-by-step explanation:

Let w represent Felipe's walking speed in miles per hour. Then his total travel time is ...

  time = distance/speed

  3 = 3/w +3/(w+1.5) . . . . . total time is the sum of walking and jogging times

  1 = 1/w +1/(w +1.5) . . . . . divide by 3

  w(w +1.5) = (w+1.5) +w . . . . multiply by w(w+1.5)

  w^2 -0.5w -1.5 = 0 . . . . . . subtract 2w+1.5

  (w -1.5)(w +1) = 0 . . . . . . . factor

The values of w that make this equation true are w = 1.5 and w = -1. Only the value 1.5 makes any sense in this scenario. Felipe's jogging speed is then 1.5+1.5 = 3 mph.

Felipe walks at 1.5 mph and jogs at 3 mph.

Which expression has a sum of 1 2/21

A. 3/7 + 2/3
B. 4/7 + 1/3
C. 5/7 + 2/3
D. 6/7 + 1/3

Answers

Answer:

A. is the answer

Step-by-step explanation:

the LCM of 7 and 3 is 21.

When added it would be 9+14 =23

23/21= 1 2/21

Other Questions
Cameron and Cadena go out to eatfor lunch 22.50+ 2.191Part AIf their food and beverages cost$22.50 and there is a 9% meals tax, how much is the bill? Write your answer to the nearest cent.$24.53(Pls answer part b)Part BAlter adding a tip, the total lunch cost was $28.95. What percentage tip did they give? Enter your answer to the nearest percentage could y'all please help me with this :) i accidently choose that answer but I don't think it's right. which equation is equivalent to -2 (x+3) - 4x = 10? ListenIf you draw a triangle with these measurements, which kind of triangle would it be?Angles Sides4004 cm507 cm908 cmO acute scalene triangleO acute isosceles triangleO right equilateral triangleOright scalene triangle tim borrowed $7,000 at 8% interest rate for 5 years what was the total interest is lo que the right relative pronoun for: necesito es mas tiempo 59)From 1813 to 1814, the Red Stick War was fought in the southern United States. This war was fought largely betweenA)the Cherokee and CreekB)the United States and Spain.C)opposing factions Creek Indians.D)the United States and the Seminole Indians. If I like this girl and she likes me, should I tell her or save money to surprise her on Valentine's Day? which word most contributes to the tone of this sentence? Bengal School painting are known for their one of which qualities ?1) oil tecq2) miniature tecq3)wash tecq4) tempra tecq if m * n = (m-n) then 5 * 3 = At the deli 1 pound of turkey cost seven and 98 Mr. Epson 5 3 pound of turkey how much will the turkey cost The interest rate Banks charge their customers is known as the rate Determine the unit rate. Use mental math when you can. 6 golf balls for $15 how did Alexander dye ? which is the most likely reason a writer would include a flash-forward? Best new Years ever 2020 to romie A family buys a studio apartment for 240,000. They pay for a down payment of 72,000. A: their down payment is what percent of the purchase price? B.what percent of the purchase price would a 108,000 down payment be ? Help help math Ill give points thanks write any four sources of energy.