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3 years ago

9

taras car accelerated from 10 miles per hour to 70 miles per hour in 12 seconds. what is the approximate rate of change in the m

iles per hour that tara car accelerated?

1 answer:

Rina8888 [55]3 years ago

5 0

Answer:

60 mph

Step-by-step explanation:

70 - 10 = 60 miles per hour

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Two different cars each depreciate to 60% of their respective original values. The first car depreciates at an annual rate of 10

zvonat [6]

The approximate difference in the ages of the two cars, which depreciate to 60% of their respective original values, is 1.7 years.

<h3>What is depreciation?</h3>

Depreciation is to decrease in the value of a product in a period of time. This can be given as,

$FV=P\left(1-\dfrac{r}{100}\right)^n$

Here, (<em>P</em>) is the price of the product, (<em>r</em>) is the rate of annual depreciation and (<em>n</em>) is the number of years.

Two different cars each depreciate to 60% of their respective original values. The first car depreciates at an annual rate of 10%.

Suppose the original price of the first car is x dollars. Thus, the depreciation price of the car is 0.6x. Let the number of year is $n_1$ . Thus, by the above formula for the first car,

$0.6x=x\left(1-\dfrac{10}{100}\right)^{n_1}\\0.6=(1-0.1)^{n_1}\\0.6=(0.9)^{n_1}$

Take log both the sides as,

$\log 0.6=\log (0.9)^{n_1}\\\log 0.6={n_1}\log (0.9)\\n_1=\dfrac{\log 0.6}{\log 0.9}\\n_1\approx4.85$

Now, the second car depreciates at an annual rate of 15%. Suppose the original price of the second car is y dollars.

Thus, the depreciation price of the car is 0.6y. Let the number of year is $n_2$ . Thus, by the above formula for the second car,

$0.6y=y\left(1-\dfrac{15}{100}\right)^{n_2}\\0.6=(1-0.15)^{n_2}\\0.6=(0.85)^{n_2}$

Take log both the sides as,

$\log 0.6=\log (0.85)^{n_2}\\\log 0.6={n_2}\log (0.85)\\n_2=\dfrac{\log 0.6}{\log 0.85}\\n_2\approx3.14$

The difference in the ages of the two cars is,

$d=4.85-3.14\\d=1.71\rm years$

Thus, the approximate difference in the ages of the two cars, which depreciate to 60% of their respective original values, is 1.7 years.

Learn more about the depreciation here;

brainly.com/question/25297296

4 0

2 years ago

Graph: y-3=1/2 (x+2)

andrey2020 [161]

Here, use the app photomath.

7 0

3 years ago

Read 2 more answers

A single number between 0 and 9 occurring either alone or in a larger number is called a what

USPshnik [31]

Answer:

A chronilagical corientation

Step-by-step explanation:

My teacher told me :()()()

6 0

3 years ago

Boof<br>$543.51 is subtotal.

antiseptic1488 [7]

Answer:

The total of the sales price and sales tax is $ 588.35 .

Step-by-step explanation:

As given

$543.51 be the subtotal .

8.25% is the sales tax .

8.25% is written in the decimal form.

$= \frac{8.25}{100}$

= 0.0825

Sales tax price = 0.0825 × 543.51

= $ 44.84 (Approx)

Total of sales price with sales tax = Sale price + Sales tax price

Putting the values in the above

= $543.51 + $44.84

= $ 588.35

Therefore the total of the sales price and sales tax is $ 588.35 .

6 0

3 years ago

What is the quotient in simplified form ? Need help please

Gre4nikov [31]

Answer:

$-\dfrac{4a^{12}b^8}{5}$

Step-by-step explanation:

The applicable rules of exponents are ...

$\dfrac{1}{a^{-b}}=a^b\\\\a^ba^c=a^{b+c}$

Your ratio simplifies to ...

$\dfrac{-8a^8b^{-2}}{10a^{-4}b^{-10}}=-\dfrac{4}{5}a^{8-(-4)}b^{-2-(-10)}\\\\=-\dfrac{4a^{12}b^8}{5}$

_____

Please note that simplifying the constants, -8/10 to -4/5, eliminates half the answer choices. Since exponents are only multiplied when a power is raised to a power, you can pretty much eliminate the second choice as being unreasonable. ((a^b)^c = a^(bc))

8 0

3 years ago