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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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Consider the following information for Maynor Company, which uses a periodic inventory system:
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B. LIFO - Inventory Valuation $7,312 and Cost of Goods Sold $13,196

C. Weighted Average - inventory Valuation $7,304 and Cost of Goods Sold $13,204

Explanation:

Detailed calculation as under:

<u>A. FIFO</u>

First 73 Units are sold from the inventory on May 1. Therefore, we first take the beginning inventory units and then we take the next in line purchases made during the period. In this case the first 34 units are completely taken and then out of the 44 units only 39 units are taken.

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<u>B. LIFO</u>

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