1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
inysia [295]
3 years ago
7

The Kellys are planning for a retirement home. They estimate they will need $200,000 4 years from now to purchase this home. Ass

uming an interest rate of 10%, what amount must be deposited at the end of each of the 4 years to fund the home price?
Business
1 answer:
vitfil [10]3 years ago
3 0

Answer:

Annual deposit= $43,094.16

Explanation:

Giving the following information:

The Kellys are planning for a retirement home. They estimate they will need $200,000 4 years from now to purchase this home. Assuming an interest rate of 10%, what amount must be deposited at the end of each of the 4 years to fund the home price?

We need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

A= (200,000*0.10)/ [(1.10^4)-1]= $43,094.16

You might be interested in
The interval at which an asset should be replaced to minimize cost (or maximize worth) is known as the: ________
madam [21]

Answer:

c. Optimum replacement interval (ORI)

Explanation:

Optimum replacement interval used to estimate the most cost effective time to replace an asset on the basis of their replacement cost.

There needs to be a balance between the replacement cost and the value that is being lost by changing the asset.

The useful value must be low to justify replacement cost.

For example if the cost of maintaining a machine has increased a lot as a result of wear and tear, it will be more cost effective to make a replacement in order to minimise cost and increase efficiency

3 0
4 years ago
Solve the exponential equation by taking the logarithm on both sides. 5^(x+8)=7
rodikova [14]
<h2>Answer:</h2>

x = (log₅7) - 8

<h2>Explanation:</h2>

<em>Given;</em>

5^{x+8} = 7

<em>Take log of both sides;</em>

log₁₀(5^{x+8}) = log₁₀7               -------------(ii)

<em>From the laws of logarithm remember that;</em>

logₐ xⁿ = n logₐ x

<em>Equation (ii) can then be written as;</em>

(x + 8)log₁₀5 = log₁₀7

<em>Divide both sides by log₁₀5</em>

(x + 8) = \frac{log_{10}7}{log_{10}5}                -----------(iii)

<em>From the laws of logarithm, remember that;</em>

\frac{log_{a}x}{log_{a}y} = log_yx

<em>Equation (iii) can thus be written as;</em>

(x + 8) = log₅7

x + 8 = log₅7

<em>Make x subject of the formula;</em>

x = (log₅7) - 8

7 0
3 years ago
Mary wants to help pay for beth's education(her granddaughter). she has decided to pay for  half of the tuition costs, which are
STALIN [3.7K]

First, you have to calculate the amount of tuition when the student reaches age 18. Do this by multiplying $11,000 by 1.07 each year from age 12 until it reaches age 18. Thus, 7 times.

At age 18: 16,508

At age 19: 17,664

At age 20: 18,900

At age 21: 20,223


Then, we use this formula:

A = F { i/{[(1+i)^n] - 1}}

where A is the monthly deposit each year, F is the half amount of the tuition each year illustrated in the first part of this solution, n is the number of years lapsed.

At age 18:

A = (16508/2) { 0.04/{[(1+0.04)^6] - 1}} = $1,244.389 deposit for the 1st year

Ate age 19

A = (17664/2) { 0.04/{[(1+0.04)^7] = $1,118 deposit for the 2nd year

At age 20:

A = (18900/2) { 0.04/{[(1+0.04)^8] = $1,025 deposit for the 3rd year

At age 21:

A = (18900/2) { 0.04/{[(1+0.04)^8] = $955 deposit for the 4th year

3 0
3 years ago
The factor that has the greatest impact on your credit score
hammer [34]
Any amount of debt of late fines you owe
3 0
3 years ago
Read 2 more answers
At December 31, 2018, the account balances of Dowling, Inc. showed income taxes payable of $38 million and a current deferred ta
kipiarov [429]

Answer:

$35 million

Explanation:

First, there is one typographical in the narration of the question in the last paragraph. The correct year is 2018 not 2013. Therefore, the correct full question is as follows:

At December 31, 2018, the account balances of Dowling, Inc. showed income taxes payable of $38 million and a current deferred tax asset of $60 million before assessing the need for a valuation allowance. The previous year Dowling had reported a current deferred tax asset of $45 million with no valuation allowance. Dowling determined that it was more likely than not that 20% of the deferred tax asset ultimately would not be realized. Dowling made no estimated tax payments during 2018.

(a) What amount should Dowling report as total income tax expense in its 2018 income statement?

Answer and explanation:

From the question, we can obtain the following:

Income taxes payable = $38 million

Deferred tax assets balance = $60 million - $45 million = $15 million

Deferred tax assets valuation allowance = $60 million × 20% = $12 million

Therefore, we can obtain the difference that will be the tax expense for 2018 by posting the journal entries as follows:

                                                   DR ($'million)             CR ($'million)

Deferred tax assets                            15

Tax expense (Difference)                  35

Tax Payable                                                                            38

Valuation allowance                                                               12

From journal, it can be seen that the difference in the entries is $35 million, and that is the tax expense for 2018.

Therefore, Dowling should report $35 million as total income tax expense in its 2018 income statement.

8 0
3 years ago
Other questions:
  • The MBA redesign committee presents the results of their five-year project to their bemused Dean. They hope it is not just wishf
    8·1 answer
  • In 2017, bianca earned a salary of $164,000 from her employer, callmart. how much in fica and medicare taxes will callmart withh
    8·1 answer
  • Oann and mark, a white american couple, are planning to purchase a home in the next year or so. they approve of residential inte
    15·1 answer
  • Which of the following is not a category of electrical burns?
    5·2 answers
  • PLEASE HELP ASAP *(only right answers plz)* Which example is an investment commodity? (Select the best answer.) steel shares in
    11·1 answer
  • Coronado Company applies manufacturing overhead to jobs on the basis of machine hours used. Overhead costs are estimated to tota
    11·1 answer
  • Heims is an automobile manufacturing company. When the sales team in the company gets an order, the information reaches all asso
    6·2 answers
  • The value of what businesses provide to other businesses is captured in the final products at the end of the __________ chain. s
    15·1 answer
  • If a worksite includes more than one set of management and workers, who should have access to the information, training, and con
    15·1 answer
  • barbara is managing two franchises and is a single mother of three children. which stress-reduction technique would barbara find
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!