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Helen [10]
3 years ago
9

Please help me with my hw

Mathematics
1 answer:
stellarik [79]3 years ago
6 0
Part 2 is 12.5 cm represents 5km
I worked this out by doing a ratio
5cm=2km
?cm=5km
you have to do 2 times 2.5 to get 5km so you do 5 times 2.5 to get 12.5cm
so the answer is that 12.5cm
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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
Edward deposited ​$10,000 into a savings account 2 years ago. The simple interest rate is 4​%. How much money did Edward earn in
Allisa [31]

Answer: 10400

Step-by-step explanation:

4 0
3 years ago
PLEASE HELP !! <br><br><br> Image attached
OLEGan [10]

Answer:

C = 31.4 inches

Step-by-step explanation:

The circumference of a circle is found by

C = pi *d

C =3.14 * 10

C = 31.4 inches

3 0
3 years ago
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What is the Answer to 3c-5=2c+5
lesya [120]
Your answer is c = 10
5 0
3 years ago
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Solve for s s/4 + 15 = 14
Naya [18.7K]

Answer: s = -4

Step-by-step explanation:

s/4 + 15 = 14

We can subtract 15 from both sides:

s/4 = -1

We can multiply both sides by 4:

s = -4

8 0
2 years ago
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