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GenaCL600 [577]
3 years ago
7

You are planning on purchasing a new car and have your eye on a specific model. You know that new car prices are projected to in

crease at a rate of 5% per year for the next few years.
Find the cost of the car 2 years from now if the current price is $25,000. Write the equation that represents the projected cost C and provide a solution for the problem.
a.
C = 25,000 (1.05) squared
$27,562.50
c.
C = StartFraction 25,000 (2) Over 1.05 EndFraction
$47,619.05
b.
C = 25,000 (1.05) (2)
$52,500
d.
C = 25,000 (2) Superscript 1.05
$51,763.25



Please select the best answer from the choices provided


A
B
C
D
Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
5 0

Answer:

A

Step-by-step explanation:

Cost of the car in "n" years=25000*(1+0.05)^n

Cost of the car in 2 years=25000*(1+0.05)^2=25000*(1.05)^2=27562.5

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You want to make five-letter codes that use the letters A, F, E, R, and M without repeating any letter. What is the probability
Feliz [49]

Answer:

The probability that a randomly chosen code starts with M and ends with E is 0.05 ....

Step-by-step explanation:

According to the given statement we have to make five letter code from  A, F, E, R, and M without repeating any letter. We have to find that what is probability that a randomly chosen code starts with M and ends with E.

Thus the probability of picking the first letter M = 1/5

After that we require the sequence (not E, not E, not E) which is equal to:

= 3/4 * 2/3* *1/2

= 1/4

Now multiply 1/5 and 1/4

1/5 * 1/4

= 1/20

= 0.05

Therefore the probability that a randomly chosen code starts with M and ends with E is 0.05 ....

4 0
3 years ago
The sum of two integers is 9 and the sum of their squares is 53. Find the integers.
Schach [20]
X + y = 9 Subtract x from both sides.
y = 9 - x

x^2 + y^2 = 53
x^2 + (9 - x)^2 = 53 Remove the brackets.
x^2 + 81 - 18x + x^2 = 53 Collect the like terms on the left.
2x^2 - 18x + 81 = 53 Subtract 53 from both sides.
2x^2 - 18x + 81 - 53 = 0
2x^2 - 18x + 28 = 0 This factors, but you can see it much easier if you pull out 2 as a common factor.
2(x^2 - 9x + 14) = 0
2(x - 2)(x - 7) =0 You could divide by 2 on both sides. But you can also leave it.
x - 2 = 0
x =  2
x - 7 = 0
x = 7
If x = 2 then y = 7
If x = 7 then y = 2
6 0
3 years ago
A tank is in the shape of a cylinder 7 feet tall and 10 feet and radius find the exact surface area of the tank
Varvara68 [4.7K]

Answer:

2036.75088022^{2} or 2036.8^{2} rounded to the nearest tenth

Step-by-step explanation:

1. Find the area of the base and the top, which are circles.

Area of circle : \pi 10^{2} = 986.960440109

There are 2 circles, soooooo....= 986.960440109 x 2 = 1973.92088022

2. Find the rest of the area of the cylander.

So, we have to find the circumference of the circle.

Circumference :2\pi10 = 62.83

3. Multiply circumference by height.

62.83 x 7 = 439.81

4. Add all of the products.

439.81 + 1973.92088022 = 2036.75088022^{2} or 2036.8^{2} rounded to the nearest tenth

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