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Irina-Kira [14]
2 years ago
7

A company paid ​$140 comma 000 for a new​ 18-wheeler. When it is 11 years old it will be worth ​$30 comma 000. Using​ straight-l

ine depreciation, the value of the truck in​ dollars, V, is a linear function of its age in​ years, n. Find the function and the value when the truck is 7 years old.
Business
1 answer:
ser-zykov [4K]2 years ago
4 0

Answer:

V(n)=140,000-10000n

V(7)=$70,000

Explanation:

Purchase Cost= $140,000

Value After 11 Years =$30,000

Depreciation per Year = \frac{140000-30000}{11}  = \frac{110000}{11} =10000

The truck depreciates at a rate of $10000 per year.

Using​ straight-line depreciation, the value of the truck in​ dollars, V

The linear function of its age in years n, V(n)=140,000-10000n

When the truck is 7 years old

n=7

Truck's Value, V(n)=140,000-10000n

=140,000-(10000X7)

=140,000-70000

=$70,000

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he Yachtsman Fund had NAV per share of $36.12 on January 1, 2016. On December 31 of the same year, the fund's NAV was $39.71. In
photoshop1234 [79]

Answer: 14.84%

Explanation:

To calculate the rate of return the investors received we will do a simple return formula to find out by how much, in terms of the Opening NAV, the fund has increased.

To find out how much the fund has increased by we can add up all the figures then deduct the opening balance.

= 39.71 + 0.64 + 1.13 - 36.12

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$5.36 is the how much the fund has increased by.

Expressing it in percentage of the opening NAV per share we have,

= 5.36/36.12

= 0.14839424141

= 14.84%

14.84% is the rate of return that an investor received on the Yachtsman Fund in 2016.

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