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Anestetic [448]
3 years ago
13

Theresa, an outside sales person, uses her car for both business and pleasure. Last year, she traveled 30,000 miles, using 900 g

allons of gasoline. Her car gets 40 mpg on the highway and 25 mpg in the city. She can deduct all highway travel, but no city travel, on her taxes. How many miles should Theresa deduct as a business expense?
Business
1 answer:
notsponge [240]3 years ago
3 0

Answer:

Miles should Theresa deduct as a business expense=20,000 miles

Explanation:

Given:

Total Miles=30,000 miles

Total Gasoline gallons=900

Highway Mileage=40 mpg

City  Mileage=25 mpg

Find:

Miles should Theresa deduct as a business expense=?

Solution:

We are going to make two equations:

Let H be for highway, C for city

Highway Gallons+City Gallons=900

H+C=900                     Eq (1)

Highway Miles+City Miles=30,000

40 H+25 C=30,000     Eq (2)

From Eq (1)

C=900-H  (Put in Eq (2))

40H + 25(900-H)=30,000

H=500 gallons (Gallons use on highway)

Miles should Theresa deduct as a business expense=40*500

Miles should Theresa deduct as a business expense=20,000 miles

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Consider the case of the following annuities, and the need to compute either their expected rate of return or duration.
anastassius [24]

Answer:

1. 5.00%

2. 15.70 year

Explanation:

As per the data given in the question,

1)  For computing the interest rate we need to applied the RATE formula which is shown in the attached spreadsheet

Given that

Future value = 0

Present value = -$2587.09

PMT = $950

NPER = 3  years

The formula is shown below:

= RATE(NPER;PMT;-PV;FV)

The present value comes in negative

After applying the above formula, the interest rate is 5%

2)  For computing the number of years we need to use NPER i.e to be shown in the attachment below

Given that

Future Value = $920,925

Present Value  = 0

PMT = -$40,000

Interest rate = 5%

The formula is shown below

= NPER(RATE;-PMT;PV;FV)

The PMT comes in negative

After applying the above formula, the nper is 15.70 years

6 0
3 years ago
One bond has a coupon rate of 5.4%, another a coupon rate of 8.2%. Both bonds pay interest annually, have 13-year maturities, an
Gekata [30.6K]

Answer:

a. rate or return bond 1 <u>6.6%</u> bond 2 <u>7.71%</u>

b. Does the higher-coupon bond give a higher rate of return? <u>yes</u>

Explanation:

bond 1 has a coupon rate of 5.4%

bond 2 has a coupon rate of 8.2%

yield to maturity formula = {C + [(Face value - market value) / n]} / [(Face value + market value) / 2]

assume bond 1's face value = $1,000

coupon = 54

n = 13

YTM = 7.5%

0.075 = {54 + [(1,000 - M) / 13]} / [(1,000 + M) / 2]

0.075 x  [(1,000 + M) / 2] = 54 +  [(1,000 - M) / 13]

0.075 x (500 + 0.5M) = 54 + 76.92 - 0.0769M

37.50 + 0.0375M = 130.92 - 0.0769M

0.0375M + 0.0769M = 130.92 - 37.50

0.1144M = 93.42

M = 93.42 / 0.1142 = $818.04

rate of return = $54 / $818.04 = 0.066 = 6.6%

assume bond 2's face value = $1,000

coupon = 82

n = 13

YTM = 7.5%

0.075 = {82 + [(1,000 - M) / 13]} / [(1,000 + M) / 2]

0.075 x  [(1,000 + M) / 2] = 82 +  [(1,000 - M) / 13]

0.075 x (500 + 0.5M) = 82 + 76.92 - 0.0769M

37.50 + 0.0375M = 158.92 - 0.0769M

0.0375M + 0.0769M = 158.92 - 37.50

0.1144M = 121.42

M = 121.42 / 0.1142 = $1,063.22

rate of return = $82 / $1,063.22 = 0.07712 = 7.71%

8 0
3 years ago
Which of the following activities of a finance manager determines the types of assets the firm​ holds? A. analyzing and planning
Vlad [161]

Answer:

Which of the following activities of a finance manager determines the types of assets the firm​ holds?

C. investment decisions

Explanation:

Select the type of assets in which the funds will be invested by the firm is termed as the investment decision

6 0
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You bought a stock for $28.29 and sell it for $35 after four years. What was the true annual rate of return (compounded)
Irina18 [472]

Answer:$1.68

Explanation:

4 0
2 years ago
Read 2 more answers
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Anestetic [448]

_________________________________

<h3>a) = 25% × $350,000 ÷ 100</h3><h3> = <u>$87,500</u></h3><h3 /><h3 /><h3>b) = $350,000 - $87,500</h3><h3> = <u>$262,500</u></h3>

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3 0
3 years ago
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