All categories

3 years ago

4. You purchase a new car for $53,000. It has a steady declining rate of 11.8% per year. Is this an

Mathematics

2 answers:

andrew-mc [135]3 years ago

7 0

Answer: $21730

Step-by-step explanation:

Depreciation = exact value×rate×time/100

Exact value =$53000

Rate= 11.8%

Time= 5yrs

Depreciation = $53000×11.8×5/100

Depreciation = 3127000/100

Depreciation = $31,270

This shows that the depreciation value of the car by 5yrs will be $31270.

To get the value of the car in years,

The exact value - depreciation value

=$53000-$31270

=$21730

The value of the car in 5years will be $21730

katen-ka-za [31]3 years ago

3 0

Depreciation, 52,999.41

You might be interested in

Find the value of annuity if the periodic deposit is $250 at 5% compounded quarterly for 10 years

mylen [45]

Answer:

The value of annuity is $P_v = \$ 7929.9$

Step-by-step explanation:

From the question we are told that

The periodic payment is $P = \$ 250$

The interest rate is $r = 5\% = 0.05$

Frequency at which it occurs in a year is n = 4 (quarterly )

The number of years is $t = 10 \ years$

The value of the annuity is mathematically represented as

$P_v = P * [1 - (1 + \frac{r}{n} )^{-t * n} ] * [\frac{(1 + \frac{r}{n} )}{ \frac{r}{n} } ]$ (reference EDUCBA website)

substituting values

$P_v = 250 * [1 - (1 + \frac{0.05}{4} )^{-10 * 4} ] * [\frac{(1 + \frac{0.05}{4} )}{ \frac{0.08}{4} } ]$

$P_v = 250 * [1 - (1.0125 )^{-40} ] * [\frac{(1.0125 )}{0.0125} ]$

$P_v = 250 * [0.3916 ] * [\frac{(1.0125)}{0.0125} ]$

$P_v = \$ 7929.9$

8 0

3 years ago

Factor this trinomial completely.

zmey [24]

First you want to write 7x as a sum or difference: 15x-8x
Now, the expression would look like this: 10x^2+15x-8x-12
Next, factor out the 5x and -4 from the expression: 5x(2x+3)-4(2x+3)
Now, factor out the 2x+3 from the expression and you have your answer:
(2x+3)(5x-4)

4 0

3 years ago

the riding lawn mower that alejandro has on his farm has the top speed of 8 km/h. What is a lawn mowers top speed in meters per

Dimas [21]

Since 1 km = 1000 m, the lawnmowers top speed would be 8000 m/h.

8 0

3 years ago

Read 2 more answers

An object’s speed decreases by 6% for each minute that it is slowing down. What is the percent that it’s speed will decrease ove

Zarrin [17]

It says decreasing so you have to turn it into a percent (.06%) and then sub tract that from 1. After that you put that into an equation.

3 0