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kotykmax [81]
2 years ago
7

Find the interest earned on invested for years at ​% interest compounded as follows. a. Annually b. Semiannually​ (twice a​ year

) c. Quarterly d. Monthly e. Continuously
Business
1 answer:
Katen [24]2 years ago
3 0

Answer:

$3979.79

2  $4023.63

Explanation:

Here is the full question used in answering this question :

Find the interest earned on $15,000 invested for 6 years at 4% interest compounded as follows. a. Annually b. Semiannually (twice a year) c. Quarterly d. Monthly e. Continuously

the formula for determining interest earned is :

future value - present value

The formula for calculating future value:

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

FV = Future value  

P = Present value  

R = interest rate  

N = number of years

m = number of compounding

1. 15,000 ( 1 + 0.04)^6 = 18979.79

18979.79 - 15,000 = $3979.79

2 1. 15,000 ( 1 + 0.04/2)^12 = 19023.63 = $4023.63

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Assume that total output in a two-good economy in 2018 consists of 50,000 apples and 2 Tesla cars, with prices of 1$ per apple a
KiRa [710]

Answer:

30%

Explanation:

GDP is the sum of all products and services produced by an economy over a given period of time. In an economy with only two products, GDP will be the sum of the quantity produced by each product at its given price.

Thus, the 2018 GDP will be:

Apples: 50,000 units x $ 1 (price) = $ 50,000

Tesla: 2 (Units) x $ 25,000 (Price) = $ 50,000

GDP 2018 = $ 50,000 + $ 50,000 = $ 100,000

The GDP variation between two years is calculated by adopting a year whose price will be the basis of the calculation, usually the first year chosen, in this case by 2018. Thus, after calculating the GDP of the base year (2018), the GDP of the The following year (2019) will be calculated using the base year price. In other words, let's calculate the 2019 GDP with the quantities sold in 2019, but with the 2018 prices. This is called the real GDP calculation, which really matters for comparison between two years.

<em>Note: Real GDP calculation is required to compare GDP developments between two or more periods. If the nominal GDP (price x quantity of each year) were calculated it would not be possible to compare properly, because in this case the effects of inflation would be infiltrated in the account. Through the calculation of real GDP inflation is isolated, as it uses the same price to calculate GDP each year, in this case the base year.</em>

Apples: 55,000 units x $ 1 (base price) = $ 55,000

Tesla: 3 (Units) x $ 25,000 (Base Price) = $ 75,000

GDP 2019 = $55000+ $75000 = $ 130,000

To calculate the percentage change in GDP simply calculate the difference between the two periods divided by the base year GDP (2018) and multiply by 100.

% GDP Change = (130,000-100,000) / (100,000) * 100 = (30,000 / 100,000) * 1000 = 0.3 * 100 = 30%

Therefore, the GDP percentage growth between 2018 and 2019 was 30%.

6 0
3 years ago
Gable Company uses three activity cost pools. Each pool has a cost driver. Information for Gable Company follows:
Amiraneli [1.4K]

Answer:

Results are below.

Explanation:

<u>First, we need to calculate the activity rate for each activity:</u>

Predetermined manufacturing overhead rate= total estimated overhead costs for the period/ total amount of allocation base

Machining= 312,000/80,000= $3.9 per machine hour

Designing costs= 73,600/8,000= $9.2 per design hour

Setup costs= 71,600/500= $143.2 per batch

<u>Now, we can allocate overhead to each product:</u>

Allocated MOH= Estimated manufacturing overhead rate* Actual amount of allocation base

<u>Product A:</u>

Machining= 3.9*30,000= 117,000

Designing costs= 9.2*3,200= 29,440

Setup costs= 143.2*50= 7,160

Total overhead= $153,600

<u>Product B:</u>

Machining= 3.9*40,000= 156,000

Designing costs= 9.2*1,800= 16,560

Setup costs= 143.2*175= 25,060

Total overhead= $197,620

<u>Product C:</u>

Machining= 3.9*10,000= 39,000

Designing costs= 9.2*3,000= 27,600

Setup costs= 143.2*275= 39,380

Total overhead= $105,980

8 0
2 years ago
Valerie's boss is reviewing her proposal and tells Valerie that she needs to make it more accurate. Which element should she try
labwork [276]

The element that Valerie's boss is trying to eliminate by telling her to be more accurate is <u>Miscalculations</u>.

<h3>What happens when we aren't accurate?
</h3>

Accuracy in writing means that the things written are factual and correct and devoid of mistakes.

If Valerie's boss believes that Valerie should be more accurate, it means that she is trying to eliminate any mistakes and miscalculations that may have been made.

Find out more on the accuracy at brainly.com/question/5792909.

8 0
2 years ago
Mills Corporation acquired as an investment $225 million of 8% bonds, dated July 1, on July 1, 2021. Company management is holdi
Sholpan [36]

Answer:

Please see solution below.

Explanation:

1.

July 1, 2021

Dr Investment in bonds $225,000,000

Dr Premium on investment in bonds $25,000,000

Cr Cash $250,000,000

December 31, 2021

Dr Cash $18,000,000

Cr Interest revenue $15,000,000

Cr Premium on investments in bonds

$3,000,000

2.

Investment in bonds. $225,000,000

Premium on investment in bonds $22,000,000

3.

January 2, 2022

Dr. Cash $266,000,000

Cr Investment in bonds $225,000,000

Cr Premium on investment in bonds $22,000,000

Cr Gain on sale of investments $19,000,000

Workings:

Effective interest rate on first coupon received = [ $225,000,000 × 8%] - [ $250,000,000 × 6%]

= $18,000,000 - $15,000,000

= $3,000,000

Premium on investment in bonds = $25,000,000 - $3,000,000

= $22,000,000

8 0
3 years ago
Robert gillman, an equity research analyst at Gillman Advisors, believes in efficient markets, He has been following the mining
antoniya [11.8K]

Answer:

Q1) a. 6.60%

Q2) c. retaining a higher percentage of earning will result in a higher growth rate.

Explanation:

Q1.)

Use dividend discount model (DDM) to solve for the growth rate;

g = r- (D1/P0)

whereby;

g = dividend growth rate

r = required rate of return = 11.40% or 0.1140 as a decimal

D1 = next year's dividend = $1.14

P0 = Current stock price = $23.75

g = 0.1140 - (1.14/23.75)

g = 0.1140 - 0.048

g = 0.066 or 6.6%

Therefore, the growth rate is 6.60%, making choice A correct.

Q2.)

c. Retained earning is the proportion of total net profit that a company reinvests back into the business for the purpose of investing in other potentially profitable projects.The returns from these projects would increase the value of the company at a faster rate if a higher percentage e.g 90% is retained. On the other hand, if the company pays a larger portion of its retained earnings e.g 70% as dividends, it will experience a slower growth rate making choice C correct.

5 0
3 years ago
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