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N76 [4]
3 years ago
15

in the year 2001, a person bought a new car for $22000. for each consecutive year after that, the value of the car depreciated b

y 5%. how much would the car be worth in the year 2005, to the nearest hundred dollars
Mathematics
1 answer:
igomit [66]3 years ago
7 0

Answer:

To the nearest hundred dollars, the car will be worth $17,900 by 2005

Step-by-step explanation:

Firstly, we need to write the depreciation equation

We have this as:

V = I(1 - r)^t

V is the present value which is what we want to calculate

I is the initial value, the amount the cad was bought which is $22,000

r is the rate of change which is 5% = 5/100 = 0.05

t is the time difference which is 2005-2001 = 4

Substituting all these into the depreciation equation, we have it that

V = 22,000(1 -0.05)^4

V = $17,919.1375

To the nearest hundred dollars, that would be;

$17,900

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A phone company offers two monthly plans plan A cost $9 Plus And additional 0.12 $ for each minute of calls. Plan B cost $27 plu
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Step-by-step explanation:

A phone company offers two monthly plans plan A cost $9 Plus And additional 0.12 $ for each minute of calls. Plan B cost $27 plus an additional $0.07 for each minute of calls

For what amount of calling do the two plans cost the same?

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So, for plan A would be

plan A cost $9 Plus And additional 0.12 $ for each minute of calls is expressed as

y_1=9+0.12x

Plan B cost $27 plus an additional $0.07 for each minute of calls is expressed as

y_2=27+0.07x

According to question, it becomes,

y_1=y_2\\\\9+0.12x=27+0.07x\\\\0.12x-0.07x=27-9\\\\0.05x=18\\\\x=\dfrac{18}{0.05}\\\\x=360

Hence, they will charge same amount for 360 minutes of calls.

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3 years ago
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The sum of liz's and melinda's ages is 28. if liz was 1/3 melinda's age 6 years ago, how old will liz be next year?
Mrrafil [7]
The first thing we must do for this case is to define variables:
 We have then:
 x: liz's age
 y: melinda's age
 We now write the system of equations:
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 Answer:
 
Next year, Liz's age is 11 years.
 
Note: see attached image for the graphic solution.

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