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denis-greek [22]
3 years ago
13

If you invest P dollars and you want the investment to grow to A dollars in t years, the interest rate that must be earned if in

terest is compounded annually is given by the formula r = t √ A P − 1 If you invest $ 1500 and want to have $ 6000 in 8 years, what interest rate must be earned? Round to at least 1 decimal place. You need an interest rate of at least 1.19 Incorrect percent.
Business
1 answer:
hoa [83]3 years ago
3 0

Answer: 18.92%

Explanation:

The formula to find the compound amount :-

A=P(1+r)^t, where P is the Principal amount, r is the rate of interest and t is the time period.

Given : P= $1500

A = $6000

Time = 8 years

Then 6000=1500(1+r)^8

i.e. (1+r)^8=\dfrac{6000}{1500}=4

i

Taking natural log on both sides , we get

\Rightarrow\ 8\ln(1+r)=\ln(4)\\\\\Rightarrow\ \log(1+r)=\dfrac{\log4}{8}=\dfrac{1.38629436112}{8}=0.17328679514\\\\\Rightrarrow\ 1+r=e^{0.17328679514}\\\\\Rightarrow\ 1+r=1.189207115\\\\\Rightarrow\ r=1.189207115-1=0.189207115\\\\\Rightarrow\ r\approx0.1892\approx18.92\%

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krek1111 [17]

Answer:

Calculate the tax consequence of withdrawal from retirement account.

T and L are 40 years old and decide to withdraw $2,100 from their IRA. They lie in a 35% marginal tax bracket.

Analysis

They are withdrawing some amount from their retirement fund. They have to pay the tax and penalty for early withdrawals from the retirement fund. The withdrawal amount is $2,100 so they have to pay tax on it. The tax rate will be 35% which is their marginal tax bracket.

Calculation of tax consequences if withdrawal amount is $2,100:

Ordinary income tax amount calculates by multiplying the withdrawal amount with the ordinary tax rate.

= $2100 × 35%

= $735

The withdrawal amount attracts the 10% penalty. So, the penalty amount is calculated as follows: Penalty on withdrawn funds calculates by multiplying the withdrawn funds with the percentage of penalty.

= $2100 × 10%

= $210

(NOTE: - T and L have to pay ordinary income tax along with the penalty on their withdrawal because they are withdrawing funds from their IRA before age 59.5.)

Total expenses include the tax amount and penalty charge on withdrawal amount. So, it is calculated as follows:

Total expenses =$735 + $210

Total expenses = $945

Conclusion

Therefore, T and L would incur a tax of $945 on their withdrawal. This $945 is the sum of income tax amount and penalty on withdrawal balance.

8 0
3 years ago
A student has 4 mangos, 2 papayas, and 3 kiwi fruits. if the student eats one piece of fruit each day, and only the type of frui
Tom [10]

There are 210 ways that he can consume fruits. This can determined using the concept of factorial in mathematics.

Factorial, in mathematics, the product of all positive int or numbers less than or equal to a given positive int or number and denoted by that integer and an interjection point. therefore, factorial seven is written seven!, meaning one × 2 × 3 × 4 × 5 × six × seven.

Factorial zero is defined as equal to one.

Here, we have given the student has three mangoes, two papayas and two kiwi fruits.

so in total he has (3 plus 2 plus 2) =7 fruits.

Let all the fruits be eaten. If he eats one fruit each day then it will take seven days to complete this process.

So according to one popular permutation type where , n=7, n1(mangoes)=3,  n2(papayas)=2,  n3(kiwi)=2.

Using factorial, number of ways =7!/(3!2!2!) =210

Learn more about factorial here:

brainly.com/question/25997932

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4 0
1 year ago
During the past year, a firm produces 250 tablet devices at an average variable cost of $40 and at an average fixed cost of $10.
Bumek [7]

The total costs = Total variable costs + Total fixed costs

Given,

Average variable costs = $ 40

Average fixed cost = $ 10

Tablets produced during the year = 250

Total variable cost = Average variable costs × Tablets produced during the year

Total variable cost = 250 tablets × $ 40 = 10,000

Total fixed cost = Average fixed costs × Tablets produced during the year

Total fixed cost = 250 tablets × $ 10 = $ 2,500

Total costs = Total variable cost + Total fixed cost

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6 0
3 years ago
What is the primary characteristic that differentials a zero based budget from a conventional budget. A. A zero based budget doe
Oksana_A [137]

Answer:

B. The zero based budget requires managers to re-justify every planned expenditure every year.

Explanation:

A zero based budget is one that does not take into account historical data when it is considering the present year budget. Each departmental requirement is re-evaluated and a new amount is assigned as budget for the year.

However conventional budgets carryover the previous year's expenses as a base data point. This results in similar budgeting across years.

So the main difference between the two is that zero based budget requires managers to re-justify every planned expenditure every year.

8 0
3 years ago
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WINSTONCH [101]

Answer:

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Based on the information we were told that Thom provide service that is worth $40,000 which means that the amount of $40,000 is Thom income but we were not told that Janice has an income, which means that Janice will have an income of $0.

Hence, Because this transaction MEET the control of the corporation requirement, Janice has income of $0 and Thom has income of $

40,000.

6 0
3 years ago
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