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OlgaM077 [116]
3 years ago
12

Determine the value of the investment at the end of 5 years. Write a function f that determines the value of the investment (in

dollars) in terms of the number of years t since the investment was made. What is the annual percent change (APY) for the account?
Business
1 answer:
Fofino [41]3 years ago
7 0

Complete Question:

Suppose that $1500 is invested in an account with an APR of 3.1% compounded continuously.   Determine the value of the investment at the end of 5 years.   Write a function that determines the value of the investment in terms of the number of years , since the investment was made.    What is the annual percent change for the account?

Answer:

Function that determines the value of the investment f(t) = 1500 exp(rt)

Investment after 5 years, f(5) = $1751.49

Annual Percent change = 3.14%

Explanation:

Function that determines the value of the investment

Initial amount invested, f₀ =  $1500

f(t) = f₀ exp(rt)

f(t) = 1500 exp(rt)

r = 3.1% = 3.1/100 = 0.031

f(t) = 1500 exp(0.031t)

Value of the investment at the end of 5 years:

f(5) = 1500 exp (0.031 *5)

f(5) = $1751.49

c) Annual Percentage Change for the account

Get the increase in investment after one year

f(1) = 1500 exp(0.031)

f(1) = $1547.23

Annual Percent yield = [(New Investment - Original investment)/ Original investment] * 100%

Annual Percent yield = [(1547.23 - 1500)/1500] * 100%

Annual Percent yield = (47.23/1500) * 100

Annual Percent yield = 3.14%

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iris [78.8K]

None of the options shows an alternative Tina has, a real alternative would be a credit card and cash ($190)

In economics, an alternative is an element that replaces or substitutes another. For an element to be considered an alternative it needs:

  • To belong to the same category or have the same function.
  • To be possible for the user to replace the first element using the alternative.

Based on this, let's analyze each of the options:

  • Jacket and $100: These are not alternatives because Tina wants a jacket and this product cannot be replaced with money as money will not protect Tina from cold weather.

  • Shoes and a jacket: These are not alternatives because Tina wants the two products not only one.

  • Credit card and $100: These would be alternatives if the total cost was $100. However, using a credit card Tina can pay for both products but using $100 she can only pay for one of the products.

Therefore, the options do not present alternatives; but one valid alternative is a credit card and $190.

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7 0
3 years ago
1. Which of the following is characteristic of governmental fund accounting and financial reporting? a. The inclusion of only fi
34kurt

Answer:

a) the inclusion of only financial assets and related liabilities.

Explanation:

The basic foundation of governmental financial accounting and reporting in the United States was established by the Governmental Accounting Standards Boards (GASB) in its "Objectives of Financial Reporting," which stated that the purpose of financial reporting is to provide information to facilitate decision making by various groups.

The groups were defined as;

(1) citizens of the governmental entity,

(2) direct representatives of the citizens, such as legislatures and oversight bodies, and

(3) investors, creditors, and others who are involved in the lending process.

3 0
3 years ago
A catalog company that receives the majority of its orders by telephone conducted a study to determine how long customers were w
Oksi-84 [34.3K]

The waiting time at which 10 percent of the people would continue to hold is given as 2.3

<h3>How to solve for the waiting time</h3>

We have to solve for X ~ Exponential(λ).

then E(X) = 1/λ = 3,

= 0.3333

Remember that the cumulative distribution function of X is F(x) = 1 - e^(-λx). ;  x is equal to the  time in over case

For 10 percent of the people we would have a probability of

10/100 = 0.1

we are to find

P(X ≤ t)

= 1 - e^(0.3333)(t) = 0.1

Our concern is the value of t

Then we take the like terms

1-0.1 = e^(0.3333)(t)

1/0.9 = e^(0.3333)(t)

t = 3 * ln(1/0.9)

= 0.3157

5 0
2 years ago
Beatrice invests $1,410 in an account that pays 3 percent simple interest. How much more could she have earned over a 4-year per
mixas84 [53]

Answer:

$7.77

Explanation:

The answer would be the difference between compound and simple interest

Simple interest = principal x time x interest

$1,410 x 0.03 x 4 = $169.20

Compound interest = future value - present value

future value = Principal ( 1 + interest)^n

$1,410 ( 1.03)^4 = $1586.96

$1586.96 -$1,410 = $176.97

Difference = $176.97 - $169.20 = $7.77

4 0
2 years ago
The total cost of Jurislon to be purchased in August is: Multiple Choice $1,839,600 $1,208,700 $1,014,300 $1,017,000
ivann1987 [24]

Answer:  $‭1,014,300‬

Explanation:

The company wants to maintain 20% of the next month's needs as ending inventory.

One Miniwap requires 2.5 kg of Jurision to be made.

Materials purchased is;

= Ending inventory + Materials used - Begining inventory

Ending Inventory;

= 20% of September Jurision

= 20% * 21,300 * 2.5

= 10,650 kg

Materials used

= 2.5 kg * August Miniwaps

= 2.5 * 22,600

= 56,500 kg

Materials Purchased = 10,650 + 56,500 - 10,800

= 56,350‬ kg

Cost of Jurision is $18 per kilo

= 56,350‬ * 18

= $‭1,014,300‬

3 0
3 years ago
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