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Ostrovityanka [42]
2 years ago
4

Ethan is planning for his retirement. He has narrowed it down to two investment options. The first is an IRA where monthly payme

nts are made, in the amount of $416.66, for 30 years. The second is a Roth IRA where annual payments are made, in the amount of $5000, for 30 years. If both compound interest at a rate of 2.5%, determine which account will yield the largest future value for Ethan, and how much greater that value will be than that of the other account. Round your final answer to the nearest cent. a. IRA; $3,552.72 b. Roth IRA; $3,552.72 c. IRA; $1,470.39 d. Roth IRA; $1,470.39 Please select the best answer from the choices provided A B C D
Business
2 answers:
katrin [286]2 years ago
6 0

Answer:

IRA $3552.72

Explanation:

Ira is an individual retirement account that allows you to save money fro retirement in a tax.advantaged way.

LiRa [457]2 years ago
3 0

Answer: B. IRA; $3553.72

Explanation:

First Account

Payments $416.66, N = 30 x 12 = 360

FV = P((1 + r)^n - 1)/r

FV = 416.66((1 + 0.0.025/12)^360 -1)/(0.025/12)

FV = 223066.23898

Second Account

FV = P((1 + r)^n - 1)/r

FV = 5000((1 + 0.0.025)^30 -1)/0.025

FV = 219513.51582

Difference =223066.23898 - 219513.51582  = $3552.7231 = $ 3552.72

First account (IRA) will yield the largest future value for Ethan

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Waterways packages some of its products into sets for home installations. One set (small) sells for $77 with variable costs of p
horrorfan [7]

Answer:

Instructions are listed below.

Explanation:

Giving the following information:

One set (small) sells for $77 with variable costs of production for the set at $50. Another set (large) sells for $152 with variable costs of $100.

Contribution margin= selling price - unitary variable cost

Contribution margin Small Set= 77 - 50= $27 per unit.

Contribution margin Large Set= 152 - 100= $52 per unit.

4 0
2 years ago
A social sciences researcher wants to know about the amount of money that couples without children spend on leisure travel. Her
Anit [1.1K]

Answer:

$18.74

Explanation:

the margin of error for a 95% confidence level = Z x (σ / √n)

  • Z for a 95% confidence level = 1.96
  • standard deviation (σ) = $160
  • sample size (n) = 280

the margin of error for a 95% confidence level = 1.96 x ($160 / √280) = 1.96 x ($160 / 16.733) = 1.96 x $9.56 = $18.74

8 0
2 years ago
Bob,s candle factory is considering three different manufacturing options. Option A uses hand labor with fixed costs of $10,000
sergeinik [125]

Answer:

a. If demand for Bob's candles is 2500, which option should he pick?

  • OPTION A

and what is the cost?

  • $16,875

b. If demand for Bob's candles is 4500 which option should he $19,950

  • OPTION B

and what is the cost?

  • $19,950

Explanation:

Option A uses hand labor with fixed costs of $10,000 and variable costs of $2.75/candle.

Option B uses a combination of hand and automation with fixed costs of $15,000 and variable costs of $1.10/candle.

Option C is highly automated with fixed costs of $20,000 and variable costs of $0.75/candle.

demand = 2,500 units

option A = $10,000 + ($2.75 x 2,500) = $16,875

option B = $15,000 + ($1.10 x 2,500) = $17,750

option C = $20,000 + ($0.75 x 2,500) = $21,875

demand = 4,500 units

option A = $10,000 + ($2.75 x 4,500) = $22,375

option B = $15,000 + ($1.10 x 4,500) = $19,950

option C = $20,000 + ($0.75 x 4,500) = $23,375

3 0
2 years ago
Western Energy makes quarterly deposits into an account reserved for purchasing new equipment two years from now. The interest p
Iteru [2.4K]

Answer:

a. 2 years

b. 1 year

c. 12 times

Explanation:

Interest period is the duration of the deposit. It is the length of time the money would remain in deposit. This is 2 years according to the question

Compounding period = number of times interest would be paid. In the question, this is a year. So interest would be paid every year

The compounding frequency - it is the number of times the deposit would be compounded. It is 12 months

The future value of the deposit can be determined using this formula :  

FV = P (1 + r/m)^nm

FV = Future value  

P = Present value  

R = interest rate  

N = number of years

m = number of compounding  

8 0
2 years ago
reative Sound Systems sold investments, land, and its own common stock for $36.0 million, $14.4 million, and $38.8 million, resp
Bingel [31]

Answer:

$18.4 million

Explanation:

The computation of the net cash flows from financing activities is shown below:

Cash flows from financing activities

Issuance of the common stock $38.8 million

Less: Purchase of treasury stock -$20.4 million

Net cash flows provided from financing activities $18.4 million

The positive sign represents the inflow of cash and the negative sign shows the outflow of cash and the same is shown above

5 0
2 years ago
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