Bridgette has $1,000 to invest. She has two different investment options, shown in the table below. Each option would give her a different value over three years.

Number of Years 1 2 3
Option A (amount in dollars) 1100 1200 1300
Option B (amount in dollars) 1100 1210 1331


Part A: What type of function, linear or exponential, would be best to describe the value of the investment over a fixed number of years using Option A? Explain your answer.

Part B: Write a function, a(t), to describe the value of the investment, in dollars, of Option A after t years.

Part C: What type of function, linear or exponential, would be best to describe the value of the investment over a fixed number of years using Option B? Explain your answer.

Part D: Write a function, b(t), to describe the value of the investment, in dollars, of Option B after t years.

Part E: Bridgette wants to invest in whichever option would increase her investment value by the greatest amount in 20 years. Will there be any significant difference in the value of Bridgette's investment after 20 years if she uses Option A over Option B? Explain your answer, and show the investment value after 20 years for each option.

Answers

Answer 1

Answer/Step-by-step explanation:

Part A: The function that would best describe Option A is a linear function. This is because an increase in x would have a corresponding additive increase in y. With each increasing year, the value of Option A increases by $100. This is how we know Option A would be a linear function.

Part B: a(t) = y.

a(t) = a + 100t

Part C: The function that would best describe Option B is an exponential function. Unlike linear functions, an increase in x would have a corresponding multiplicative increase in y. Each value of Option B shares a common ratio of 1.1.

Part D: b(t) = y.

b(t) = b(1.1)^t

Part E: a(20) = a + 100(20)

1100 + 2000 = 3100

b(20) = b(1.1)^20

1100(1.1)^20

= 7400

There is definitely a significant difference between the value of Bridgette’s investment in both options. The difference between the values of each option after 20 years is 4300. Bridgette is better off using Option B if she wants more money at the end.

Hope this helps!


Related Questions

8 1/4 pounds of flour are used to make 4 1/8 papier-mâché pasta recipe how much flour is used in one recipe

Answers

Answer:

1/6

Step-by-step explanation:

ive seen that question b4

2 pounds of flour are required to make 1 recipe, as of the given condition.

Given that
8 1/4 pounds of flour are used to make 4 1/8 paper-mâché pasta recipe how much flour is used in one recipe is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

Flour = 8 1/4
Flour = 8.25 pounds
The proportion of the recipe made corresponding to 8.25 pounds of flour = 4.125
Now,
For 1 recipe = 8.25 / 4.125 = 2 pounds of flour are needed.

Thus,  2 pounds of flour are required to make 1 recipe, as of the given condition.

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Which of the following values are solutions to the inequality

Answers

i used socratic for that one

fine the exact rationalized value of sin(25π/6)

Answers

Answer: 1/2 1 over 2 if you didn’t know that’s fraction form and decimal form it’s 0.5

slope of (-3, 1), (1, 9) and slope of (-2, -9), (-1, -7)

Answers

Answer:

8/4 and 2/1(or just 2)

Step-by-step explanation:

slope formula- (y2-y1)/(x2-x1)

plug in the numbers-

(9-1)/(1+3) and (-7+9)/(-1+2)

find the sum of the first 20 terms 1.5, 1.45, 1.40, 1.35

Answers

Answer: 20.5

Step-by-step explanation:

subtract 0.05 from each answer until you get 20 terms then add those terms up

On another day, Martin bought 123
5
pounds of grapes for a picnic. His friend bought 3
8
of that amount. Use compatible fractions to estimate how many pounds of grapes Martin’s friend bought.

123
5


3
8


Martin's friend bought about
pounds of grapes.

Answers

Answer:

The answer is 123

5

✔ 12 1/2

3

8

✔ 1/2

Martin's friend bought about  

✔ 6 ¼

pounds of grapes.

The number of pounds of grapes that are bought will be  [tex]4\frac{29}{40}[/tex]  pounds.

What is fraction?

Fractions are used to represent smaller pieces (or parts) of a whole.

Given the information that Martin bought 12 3/5 pounds of grapes for a picnic, while his friend bought 3/8 of that amount.

Therefore, the amount that his friend bought will be:

= 3/8 × 12 3/5

= 3/8 × 63/5

= 189/40

= [tex]4\frac{29}{40}[/tex]

Hence,  the number of pounds of grapes that are bought will be  [tex]4\frac{29}{40}[/tex]  pounds.

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if you earn $35 in 5 hours, how much money will you earn in 17 hours? how much will you earn in 1 hour?

Answers

Answer:

$119, $7.

Step-by-step explanation:

First, we need to find the unit rate of pay, in dollars.

Divide $35 by 5 to get $7 per hour.

Now, we multiply the unit rate of pay by 17 to find out how much money is made in the 17 hours that were worked.

By doing this, we get the answer: $119.

Hope this helps! Let me know.

You need to score 80% on the final exam to maintain an “A” average in class. If the exam has 250 questions, how many questions must you answer correctly?
A. 20
B. 160
C. 200
D. 240

Answers

Answer:

200

Step-by-step explanation:

100/250= 0.4

0.4* 200= 80

A map has a scale of 1 inch = 20 miles. The distance on a map between two cities is 3 1/4 inches. How far apart are the two cities?​

Answers

It is 65 miles because 3 times 20 is 60, a fourth of 20 is 5, so you add them together and get 65 miles

help me with this homework

Answers

Answer:

r = 0

Step-by-step explanation:

-32r + 8 = -8r + 8

-32r + 8r = 8-8

-24r = 0

divide both sides by -24

then the answer will be -- r = 0

Answer:

0

Step-by-step explanation:

Nov 06, 7:43:52 PM
Which equation represents a line which is parallel to the line y =
= -x - 8?
O 8x + 3y = -6
O 8x – 3y = 3
Submit Answer
8y - 3x = -48
3x + 8y = 48
O

Answers

Answer:

8x-3y=3

Step-by-step explanation:

Its the only one that would give you a negative x

CAN SOMEONE PLEASE HELP ME WITH GRAPHING THIS? AND PLEASE EXPLAIN HOW TO GRAPH IT

Answers

The dashed line is because the sign is greater than to be a solid line it has to be equal to or greater than and to the shading means any point on there works for the equation easiest way to test where you should shade is by plugging into the equation the point (0,0)

what is the slope of ( -4,-1) , (8 - -7)

Answers

The formula to find slope is:
Rise over run —> y2 - y1 / x2 - x1
Plug in the numbers.
-7 - (-1) / 8 - (-4)
Simplify.
Hope I helped:)

What is the correct answer for all? ​

Answers

Answer: 13.B

  14.B

15.C

16.A

17.D

18.A

Step-by-step explanation:

Lines a and b are parallel. Line c is a transversal. FInd the measures of all angles formed by a, b, and c, given each scenario. One of the angles measures 150 degrees.

Answers

Answer:

30° and 150°

Step-by-step explanation:

Given

Parallel lines a and b

Transversal c

Angle = 150°

Required

Determine the list of possible angles

A transversal divides a parallel line into two measure which add up to 180°

Given that one of the angles is 150°, the other angle would be 180° - 150°

Other angle = 180° - 150°

Other angle = 30°

Aside 30° and 150°, there's no other possible angle that can be formed by the given information

Answer:

30 and 150

Step-by-step explanation:

Given

Parallel lines a and b

Transversal c

Angle = 150°

Required

Determine the list of possible angles

A transversal divides a parallel line into two measure which add up to 180°

Given that one of the angles is 150°, the other angle would be 180° - 150°

Other angle = 180° - 150°

Other angle = 30°

Aside 30° and 150°, there's no other possible angle that can be formed by the given information

If the temperature outside was 63°F at 5:00 p.m., but it fell 21 degrees by 10:00 p.m., what is the temperature at 10:00 p.m.?

Answers

Answer:

42°

Step-by-step explanation:

Subtract: 63 - 21 = 42°

Answer:

42°F

Step-by-step explanation:

63-21=42°F

if it fell, it means it went down, so it got colder

Juan has a piano recital next month. Last week he practiced for 12 hours in the morning and 14 hours in the afternoon. Each practice session is 3 hours long. How many full practices did Juan complete

Answers

Answer:

8 full practice

Step-by-step explanation:

Given that :

Morning Practice hours Total = 12 hours

Afternoon practice hours total = 14 hours

practice length = 3 hours

Hence, Number of full practices attended :

practice hours / practice length

Morning : 12 / 3 = 4 practice sessions

Afternoon = 14 / 3 = 4.666 sessions

Hence, number of full practice completed = 4 + 4 = 8

Answer:

hope this helps .enjoy the rest of your day.

help ;w;

Daniel rode his bicycle from Barton to Wells along the path shown on this map.

If it took Daniel 5 hours to complete the trip, what was his average speed in miles per hour?​

Answers

I’m going to guess 12.4mph. Sorry if it’s wrong

Q3) f(x) 2x^2 - 5x, g(x) = 3x^3 find g(4x)

Answers

Answer:

g(4x) = 192x^3

Step-by-step explanation:

For this problem, f(x) is irrelevant since we are simply are dealing with g(x).  We will simply replace the value of x in g(x) with 4x.  So let's do that.

g(x) = 3x^3

g(4x) = 3(4x)^3

g(4x) = 3(4^3)(x^3)

g(4x) = 3(64)(x^3)

g(4x) = 192x^3

Hence, g(4x) is 192x^3.

Cheers.

Freida earns $5.25 per hour and time-and-a-half for overtime for all hours over 40 hours. How much did she earn the week she worked 48 hours?

Answers

Answer:

Total earned= $273

Step-by-step explanation:

Giving the following information:

Regular labor hours= $5.25

Overtime labor hours= $5.25*1.5= $7.875

To calculate the total earned, we need to use the following formula:

Regular labor hours= 40*5.25= 210

Overtime labor hours= 8*7.875= 63

Total earned= 210 + 63

Total earned= $273

Factorise x cube -2x square -5x plus 6

Answers

Answer:   {(x + 2), (x - 1), (x - 3)}

Step-by-step explanation:

Presented symbolically, we have:

x^3 - 2x^2 - 5x + 6

Synthetic division is very useful for determining roots of polynomials.  Once we have roots, we can easily write the corresponding factors.  

Write out possible factors of 6:  {±1, ±2, ±3, ±6}

Let's determine whether or not -2 is a root.  Set up synthetic division as follows:

-2   /   1   -2   -5   6

              -2     8   -6

     -----------------------

        1     -4      3    0

since the remainder is zero, we know for sure that -2 is a root and (x + 2) is a factor of the given polynomial.  The coefficients of the product of the remaining two factors are {1, -4, 3}.  This trinomial factors easily into {(x -1), (x - 3)}.

Thus, the three factors of the given polynomial are {(x + 2), (x - 1), (x - 3)}

I WILL GIVE BRAINLIEST! PLEASE TAKE YOUR TIME!
Use the order of operations to evaluate the expression below.
12 + 24 / 10 - 4) x (9 - 7) - 17

Answers

Answer:

-27.6

Step-by-step explanation:

I'm smart but probably shouldn't use my answer

15) In the proof: STATEMENT: e / f REASON: 15)
Transitive Property of Congruency
Converse of AEA Theorem
AEA Theorem
AIA Theorem
Definition of Congruent Angles

Answers

Answer:

Can you be more specific if you can I will answer in the comments :)

Step-by-step explanation:

Please help me I will really appreciate it!!!

Answers

Answer:

t = [tex]\sqrt{\frac{-2(h-1)}{a} }[/tex]

Step-by-step explanation:

solve for t

h = -[tex]\frac{1}{2}[/tex]a[tex]t^{2}[/tex] + 1; multiply both sides by -2

-2h = a[tex]t^{2}[/tex] - 2; add 2 to both sides

-2h + 2 = a[tex]t^{2}[/tex]; divide by a

(-2h + 2) / a = [tex]t^{2}[/tex] ; take the square root

t = [tex]\sqrt{\frac{-2(h-1)}{a} }[/tex]

(picture) what is the answer if x=-2

Answers

If x = 2

then

3(2)² - 2(2) + 1 = 3(4) - 4 + 1 = 12 - 4 + 1 = 13 - 4 = 9 #

Therefore, if x = 2 then it's 9

What is the value of x? Please provide an explanation, thanks!

Answers

Answer:

x=97/5

Step-by-step explanation:

let y be the opposite angle,

6x-11 + y = 180( sum of opposite angles)

y=180+11-6x

y=191 - 6x

thus, 81+x+5+191-6x=180(angle sum property)

-5x=-97

x=97/5

True or False: A system of two equations in two variables whose graphs are a parabola and a circle can have four real ordered-pair solutions.

Answers

Answer: True

The parabola can intersect the circle four times as the graph shows below. Each intersection point is a solution in the form (x,y).

Can someone please actually help me with my math assignments

Answers

what are the assignments?

2x+3y=122, x, plus, 3, y, equals, 12
Complete the missing value in the solution to the equation.
((left parenthesis
,8),8)

Answers

she me he sid sud iebe Howie

1 (-2,2) Write the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (-2, 2). * (4 Points)​

Answers

Answer:

y = -5x - 8

Step-by-step explanation:

Take the points (-5,-4) and (0,-3) plug them into this formula to get the slope.

[tex]\frac{y2 - y1 }{x2 - x1}[/tex]

Now plug in your points

[tex]\frac{-3 - (-4)}{0 - (-5)} \\\\\frac{1}{5}[/tex]

Since you're slope is 1/5 the slope of the perpendicular line is going to be the totally opposite -5 is the slope of the perpendicular line.

Now plug in -5 and the point (-2,2) into y = mx + b to get the y-intercept

2 = -5(-2) + b (b represents the y-intercept)

2 = 10 + b (subtract 10 from both sides)

-8 = b

The perpendicular line looks like this y = -5x - 8

Hope this helps ya! Keep smiling!

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