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Lynna [10]
2 years ago
10

Pls help find x and y plsssss

Mathematics
2 answers:
SIZIF [17.4K]2 years ago
5 0

Answer:x=143

Step-by-step explanation: set 128=X-15 add 15 to both sides

Marina CMI [18]2 years ago
3 0

Answer:

x = 67

y = 32

Step-by-step explanation:

Vertical angles are congruent

that means

52 = x- 15

You want to add 15 in both sides

x = 67, and the other angle measures 52 degrees

Same thing applies to 128 and 4y

4y = 128

y = 32

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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
Penny needs 30 cubic ft of sand to fill a sandbox. She plans to buy 10 bags of sand for her sandbox. Each bag contains 2.9 cubic
Romashka [77]
The correct answer is C.

Because: 2.9 multiplied by 10 bags equals 29cubic ft and she needs 30 cubic ft. So she would need to buy 11 bags to make sure she has enough sand for the whole thing. 11 x 2.9 = 31.9 which ensures she has enough for the whole thing including extra in case. So you answer would be Answer C.
4 0
2 years ago
What is the equation of the following line written in slope-intercept form? x-intercept of 2
OverLord2011 [107]

Answer:

your answer is the 2nd one

Step-by-step explanation:

4 0
3 years ago
Please help me!
umka2103 [35]

Answer:

C(m) = 0.10x + 41

Step-by-step explanation:

C(m) = 0.10m + 41

7 0
3 years ago
My friend and her family had dinner at a restaurant. The total bill was $74. They want to leave a 15% tip for the wait staff. Ho
olga_2 [115]
She would pay $85.10 in total

74(.15)= 11.1

74+11.1= 85.10
6 0
2 years ago
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