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adell [148]
3 years ago
10

After graduation in 2 years, Antwone would like to take a much needed vacation to the Caribbean Islands. He anticipates that the

all inclusive vacation package will cost him $3,800. His bank will pay 3% per year compounded semiannually. How much does he need to deposit into this account each semiannual period, so that he can take his vacation in 2 years
Business
1 answer:
Arisa [49]3 years ago
3 0

Answer: $3,580.30 (converted to 2decimal places).

Antwone need to deposit " $3,580.30008” into the account each semi-annual period in order to take his vacation in 2 years

Explanation:

By using compound interest formula below to solve the question

A = p ( 1 + r/n)^nt

A = amount (future value)= $3,800

P = principal (present value) ?

r = annual nominal rate = 3%= 0.03

n = today number of compounding years = semiannually (2 interest payments period in a year) = 2

t = time in years =2

3,800 = p ( 1 + 0.03/2)^2(2)

3,800 = p ( 1 + 0.015 )^4

3,800 = p ( 1.015 ) ^4

3,800 = 1.06136355 p

divide both sides by 1.06136355

p = 3,800 / 1.06136355

p = $3,580.30008

≈$3,580.30 ( rounded off to 2d.p)

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Aleks04 [339]

Answer:

The answer would be, $21,760

Explanation:

The formula to be used is  that of calculating the present value (PV) of the payment in the ordinary annuity (PMT). PMT are done annually, semi-annually, quarterly or monthly.

PV = PMT * ((1-(1/ (1+r) n))/r)

Where PV is the present value; PMT is the payment in an ordinary annuity; r is the opportunity cost rate; n is the number of years  

in this case, PV= 3,200; r=10%, and n=12

To get PV, substitute the values given above and compute as shown below:

PV  = 3,200*((1-(1/(1+0.10)12))/0.10)

PV= $21,760

With an opportunity cost of 10% compounded annually, Lisa will have to deposit $21,760 today if she wants to be receiving $3,200 at the end of each year for the next 12 years.

5 0
3 years ago
Green Earth, an environmental organization in Oklahoma, recently recruited Phyllis Galvan as a project coordinator. Galvan's man
kotegsom [21]

Answer:

E) emotional contagion

Explanation:

Based on the scenario being described within the question it can be said that this example is demonstrating the concept known as emotional contagion. This concept refers to the process in which the emotions being experienced by an individual are caused by the emotions felt by others. Which is exactly what is happening in this scenario since Galvan's positive emotions are causing her colleagues to started behaving more positively as well.

4 0
3 years ago
Read 2 more answers
Write down the characteristics which had the highest poverty rate in 2016?
adoni [48]

Answer:

Follows are the solution to this question:

Explanation:

The poverty rate is the proportion of those whose income falls below the poverty line, as well as, the official poverty level of 2016 was 12.7% when half of the median family income for the overall population. Below are the highest poverty level features in 2016:

  • Desire to share exposure to food and clean water.
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3 years ago
Time Value of Money: Basics Using the equations and tables in Appendix 25A this chapter, determine the answers to each of the fo
kow [346]

Answer:

Present value (PV) = $3,000

Interest rate (r) = 6% = 0.06

Number of years (n) = 2 years

Future value (FV) = ?

FV = PV(1 + r)n

FV = $3,000(1 + 0.06)2

FV = $3,000(1.06)2

FV= $3,000 x 1.1236

FV = $3.370.80                                                                                                                                                                                                                                                                                    

Explanation:

In this case, there is need to compound the present value for 2 years at 6% interest per annum. The formula to be applied is the formula for future value of a lump sum (single investment).

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What Are Some Reasons To Have A Credit Card?
andreev551 [17]

Answer:

1 Boost your credit history and score

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4 Rewards

5 History of purchases

6 No fear of loss or theft

7 Interest free money

8 Merchant protection

9 Insurance on purchases

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3 years ago
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