Mathematics High School

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

A small jar of mustard holds 75% as much as a large jar of mustard. If the large jar holds 36 ounces, how much does the small jar hold?

Answers

Answer:

27 ounces

Step-by-step explanation:

36 / 4 = 9 x 3 = 27

Write a linear function f with f(-2) = 6 and f(0) = -4
f(x) =

Answers

Answer:

y = -5x - 4

Step-by-step explanation:

yeah-ya............ right?

A large tank was filled with water at a constant rate. The time and amount were recorded in the table.
Complete the table below to show how many gallons of water are in the tank after 335 and 405 minutes?

Time (minutes) 5 110 215 260 335 405
Amount (gallons) 1 22 43 52

Answers

Answer:

67 gallons at 335 minutes

81 gallons at 405 minutes

Step-by-step explanation:

I plotted the points and determined they form a straight line, with a slope of 3 and a y-intercept of 0.

In the form of y=mx+b,

this fill behavior can be represented as y = (1/5)x + 0, or y = (1/5)x

y is the volume in gallons and x is the time in minutes. The slope, (1/5), is the rate of filling the tank, in gallons/minute.

The solutions for 335 and 405 minutes may be found either by marking them on the graph (attached), of by simple calculation:

At 335 minutes, y = (1/5)(335), or 67 gallons

At 405 minutes, y = (1/5)(405) = 81 gallons

Find the area of each figure

Answers

30yd^2
Explanation-
B•h/2
10•6=60
60/2=30
:)

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:

I NEED ANSWER ASAP PLEASE I NEED ANSWER NOW ITS DUE IN 20 MINS

Answers

First : parallel lines

Find the quotient of 3,976 ÷ 28 = ________. Use the partial quotients strategy to help you.

Answers

Answer:

142

Step-by-step explanation:

Hope this helps

look at screenshot to see question

Answers

The correct answer is C and m=7

What is the square root of -7

Answers

Answer:

negative numbers don't have square roots. a square is either positive or 0, so your questions answer doesn't exist. if you want positive 7 though, 5.291502... etc

I believe………it’s 0…….

Can someone help answer b plzzz

Answers

No she is not correct
80 x.70 is 56 as you wrote, and it says 70% wait LESS THAN 30 minutes
On the left of the graph, time, you go to 30 minutes and the patients are much less (21) than 56 patients

ANSWER: No

M is the midpoint of the segment. Find the length of CG

Answers

If M is the midpoint then segment CM and segment MG are equal. So 6x - 15 = 4x + 1.

6x - 15 = 4x + 1
-4x +15 -4x +15
(Move all the x’s to one side the other numbers to the other)

2x = 16
2 2
(Divide both sides by 2)

x = 8

Now just plug in x to find the length of one segment and double it to find the length of CG

6(8) - 15 = 33

33 • 2 = 66

CG = 66

Evaluate.

(−16+0.6(−13)+1)2

What is the value of the expression?

Enter your answer as a simplified fraction in the box.

Answers

-56, this one was difficult so let me know if you need me to explain

can someone help me :

Answers

Answer:

A: yes

B: yes

C: no

D: no

E: no

Hope This Helps!!!

Answer:

s = -2

s = -8

Step-by-step explanation:

negative numbers get smaller and smaller the farther they are from zero

Ayudaaaaaa es para hoy

Answers

Answer:

Step-by-step explanation:

a (2³)² = 2³ˣ² = 2⁶

b (7⁰)¹ = 7⁰ˣ¹ = 7⁰ = 1

c (5⁶)³ = 5⁶ˣ³ = 5¹⁸

d (6²)⁴ = 6²ˣ⁴ = 6⁸

e (8³)⁴ = 8³ˣ⁴ = 8¹²

f (4³)² = 4³ˣ² = 4⁶

g (9¹)² = 9¹ˣ² = 9² = 81

h (3⁷)² = 3⁷ˣ² = 3¹⁴

i (10²)³ = 10²ˣ³ = 10⁶

j (11²)⁴ = 11²ˣ⁴ = 11⁸

Find the solution set of each inequality below, and then determine which inequalities have the same
solution set as -(-8x – 3) < 23. Select all that apply.

A
1
(8x + 3) < -23
B
(10x =
- 20) >-44
1
(8x + 3) >-23
(10
(10x +20) >44
E
(8x + 3) < 23
F-crx
(10x +20) < -44
+

Answers

Answer:

(8x+3)<23 is the same as -(-8x-3)<23

Step-by-step explanation:

-(-8x-3)<23 Original equation

(8x+3)<23 [Remove the parentheses]

It is the same equation as the chosen answer: (8x+3)<23

Answer:

Choice E.

Step-by-step explanation:

-(-8x – 3) < 23

-8x - 3 > -23

-8x > -20

x < 20/8

x < 2.5.

E:-

(8x + 3) < 23

8x < 20

x < 2.5.

Triangle ABC is rotated clockwise about the origin through 90°. The resulting triangle is then
rotated clockwise about the origin through 270° Identify the vertices of the triangle after
these transformations

Answers

When a shape is rotated, it must be rotated through a point.

The vertices of the triangle would remain unchanged after both transformations

Assume the coordinates of triangle ABC is (x,y).

The first rotation is 90 degrees clockwise rotation.

The rule of this transformation is:

[tex](x,y) \to (y,-x)[/tex]

Next, the triangle is rotated 270 degrees clockwise.

The rule of this transformation is:

[tex](x,y) \to (-y,x)[/tex]

So, we have:

[tex](y,-x) \to (x,y)[/tex]

Hence, the vertices of the triangle would remain unchanged after both transformations

Answers

Answer:

[tex]g(x)=\frac{1}{8} x^{3} -\frac{3}{2} x^{2} +6x-5[/tex]

Step-by-step explanation:

[tex]x=2\sqrt[3]{y-3} +4[/tex]

switch the x and y, then use order of opperations

f(x) = -3x – 12
g(x) = 3x2 – 2x – 14

Answers

Answer:x

−

Step-by-step explanation:

32-?-10+4=16 what is the missing number?

Answers

X=10

Hope this helped :)

Sara bought 12 roses for $30. Find the unit price

Answers

You can divide 12 by 30. This will get you the price of 1

What is the arc length if the central angle is 225 degrees and the radius of a circle is 3 cm

Answers

Answer:2*225*pie/360*3

Step-by-step explanation:

The required length of the arc is 11.78cm

Angle θ = 225 degrees
radius = 3 cm
arc = ?

What is an arc?

Arc is the measure of angle on the circumference of circle.

Length of an Arc = θ × (π/180) × r

Length of an Arc =225 × (π/180) ×3
= 11.78

Thus, the required length of the arc is 11.78 cm

Learn more about arc here:

https://brainly.com/question/18741430

#SPJ2

Four movie tickets cost $30.00. Each ticket cost the same amounts.what was the cost of each tickets in dollars and cents

Answers

Answer: $7 and 50 cents

Four movie tickets cost $30.00

1 movie ticket will cost 30.00/4 = $7.50

7 dollars and 50 cents
$7.50

You divide 30.00 from 4 (30.00/4) and it equals to 7.5, but since we are dealing with money we add a zero at the end(7.50)

Hope this helps!

The diagram shows a square pizza box with side lengths of 12 inches. In the box is a circular pizza with a radius of 5 inches. What is the difference between the area of box and the pizza? Use π = 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

Step-by-step explanation:

Box

Area of the box

Area = s^2

s = 12 inches

Area = 12^2

Area = 144

Pizza

Area = pi r^2

Area = 3.14 * 5^2

Area = 25 * 3.14

Area = 78.5

Difference = 144 - 78.5

Difference = 65.5

I have to find out which quadratic equations are in standard form?

Answers

Answer:

See image

Step-by-step explanation:

In order to be in standard form, all the variables should be on the same side of the equation. The x^2 term should be first, then the x term then the constant (you could think of it as an x^0 term; it is a plain number) The coefficients of the x^2 term and the x term, should be integer coefficients (the number next to the x^2 and x cannot be a fraction or decimal)

Nathan works the same number of hours each day, 5 days each week. He earns $12 per hour. Last week he earned $420. How many hours did he work each day?

Answers

Answer:

He worked 7 hours each day, last week

Step-by-step explanation:

-$420 earned last week

-He worked for 5 days (420 / 5)

-He earns $12 per hour

- How many hours he worked is unknown (x)

Equation

12x = 420/5

12x = 84

x = 7

PLZ HELP MEEEEE GIVEING BRAINLYEST

Answers

Answer:

The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

Step-by-step explanation:

Answer:

[tex]4x^3y^4[/tex]

Step-by-step explanation:

What is the number of solutions to the system of
equations?
Infinitely Many
Solutions
No Solution
One Solution
Two Solutions

Answers

Infinitely many, as the lines intersect at an infinite number of ordered pairs

A movie theater sold a total of 50 tickets. 23 of the tickets were child tickets, and the rest were adult tickets. What is the ratio of the number of adult tickets to the total number of tickets?

Write your answer as a fraction. Use a slash ( / ) to separate the numerator and denominator.

Answers

27/50

Step-by-step explanation:

You would have to subtract 50 and 23 to find out how many adult tickets there was

Help please just this 1-5 please answer correctly but real people only answer correctly I'll do anything

Answers

Answer: Check the answers below

Step-by-step explanation:

Remember: slope is rise/run

1) 3/15 = 0.2 ft

2) 4/3

3) 2

4) 6/8

5) 2/9

A certain stock sold for $56.12 on Monday. On Tuesday it sold for $60.19. Find the increase in the price of the stock from Monday to Tuesday

Answers

Answer:

$ 4.07

Step-by-step explanation:

The problem is asking for the Increase in the stock price from Monday to Tuesday, meaning they want to know the difference between the stock price on Monday and Tuesday.

So we subtract Monday's price from Tuesday's price.

$60.19- 56.12 = $4.07

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