What is Average cost

How many years would it take for money to increase to 3 times the initial amount at an interest rate of 18% per year?

arlik [135]

Answer:

7 years (to the nearest year)

Explanation:

Given that;

A = amount

P= principal

t = time

r = rate

A =3P(given in the question)

Formula for compound interest;

A = P(1 + r)^t

Substituting values;

3P = P(1 + 18/100)^t

3P/P= (1.18)^t

3 = (1.18)^t

log 3 = t log 1.18

t = log 3/log 1.18

t = 0.4771/0.0719

t = 6.6 years

t = 7 years (to the nearest year)

3 0

2 years ago

Which of the following is NOT an advantage of human-centered design thinking?

yKpoI14uk [10]

Answer:

The correct option is;

d) It allows a single entrepreneur to bring their favorite ideas to market

Explanation:

Human-centered design is a methodology applied to the resolution of problems that are associated with product design and framework of management that makes the thinking mindset for the development of problems solution of having the human standpoint to be included in all the steps involved in solving the problem in order to ensure usefulness of the solution to the people it is meant to benefit.

6 0

2 years ago

Use the information for Geiberger Corporation from BE21.12, except assume the collectibility of the rentals is not probable. Pre

Vikentia [17]

Answer:

Date Account title Debit Credit

12/31/2019 Lease Receivable $175,934

Cost of Goods sold $120,000

Sales Revenue $175,934

Inventory $120,000

Date Account title Debit Credit

12/31/2019 Cash $40,800

Deposit Liability $40,800

The rental amount is constant and is made on the first day of the lease period so this is an annuity due.

As the collectability is probable, you need to find the present value of this lease:

= 40,800 * Present value of annuity due factor, 5 year, 8%

= 40,800 * 4.3121

= $175,933.68

= $175,934

7 0

2 years ago

Fortune Enterprises is an all-equity firm that is considering issuing $13.5 million of perpetual debt. The interest rate is 10%.

Nuetrik [128]

Answer:

d. Debt holders get $0 mil. under the unlevered plan vs. 0.6075 mil. under the levered plan

Explanation:

interests paid to debt holders = $13,500,000 x 10% = $1,350,000

generally, interest revenue is taxed as ordinary revenue = corporate income tax rate (if debt holder is a business) or personal income tax (if debt holder is an individual).

under the first plan, debt holders get nothing because there is no outstanding debt since the company is an all equity firm.

under the second plan, if the personal tax rate on interest income is 55%, which is really high, the debt holders will earn $1,350,000 x (1 - 55%) = $607,500

8 0

2 years ago

Cincinnati Exporters wants to raise $40 million to expand its business. To accomplish this, it plans to sell 22-year, $1,000 fac

IrinaVladis [17]

Answer:

Minimum number of units to be issued = 45,791.4 units

Explanation:

The units of the bonds to be sold to raise the money equals to the price of the bonds divided by the sum to be raised

The price of a bond is the present value (PV) of the future cash inflows expected from the bond discounted using the yield to maturity.

These cash flows include interest payment and redemption value

The price of the bond can be calculated as follows:

Step 1

PV of interest payment

Semi-annual coupon rate = 5.72/2 = 2.86 %

Semi-annual Interest payment =( 2.86 %×$1000)= $28.6

Semi annual yield = 6.85%/2 = 3.42%

PV of interest payment

= A ×(1- (1+r)^(-n))/r

A- interest payment, r- yield -3.42%, n- no of periods- 2 × 22 = 44 periods

= 28.6× (1-(1.0342)^(-44)/0.0342)= 645.82

Step 2

PV of redemption value (RV)

PV = RV × (1+r)^(-n)

RV - redemption value- $1000, n- 7, r- 4.5%

= 1,000 × (1+0.0342)^(-2×22)

= 1000 × 1.0342^(-44)= 227.7

Step 3

Price of bond = PV of interest payment + PV of RV

645.82 + 227.7= 873.525

Minimum number of units to be issued = $40 million/873.5= 45,791.4 units

Minimum number of units to be issued = 45,791.4 units

7 0

2 years ago