Answer: 1335.2 ft^2
Step-by-step explanation: The volume of a cylinder formula is V=πr^2h. Just plug in 17 into h and 5 into r. Also the 2 is an exponent
Answer:
x = 5/8 for 5x - 3 = (1/5)x
Step-by-step explanation:
To find x, we want to isolate our 3 from our x-values. You can add three to both sides of the equation and get it to the other side and then subtract 1/5x from 5x.
(5x - 3) + 3 = ((1/5)x) + 3
5x = (1/5)x + 3
5x = (25/5)x
((25/5)x) - (1/5)x = ((1/5)x + 3) - (1/5)x
(24/5)x = 3
From here, you would want to solve for x. This would mean multiplying 3 by 5 and dividing your product by 24.
5*3 = 15
15/24 = 5/8 = x
Hope this helps!
Answers:
- a) 15000 represents the starting amount
- b) The decay rate is 16%, which means the car loses 16% of its value each year.
- c) x is the number of years
- d) f(x) is the value of the car after x years have gone by
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Explanation:
We have the function f(x) = 15000(0.84)^x. If we plug in x = 0, then we get,
f(x) = 15000(0.84)^x
f(0) = 15000(0.84)^0
f(0) = 15000(1)
f(0) = 15000
In the third step, I used the idea that any nonzero value to the power of 0 is always 1. The rule is x^0 = 1 for any nonzero x.
So that's how we get the initial value of the car. The car started off at $15,000.
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The growth or decay rate depends entirely on the base of the exponential, which is 0.84; compare it to 1+r and we see that 1+r = 0.84 solves to r = -0.16 which converts to -16%. The negative indicates the value is going down each year. So we have 16% decay or the value is going down 16% per year.
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The value of x is the number of years. In the first section, x = 0 represented year 0 or the starting year. If x = 1, then one full year has passed by. For x = 2, we have two full years pass by, and so on.
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The value of f(x) is the value of the car after x years have gone by. We found that f(x) = 15000 when x = 0. In other words, at the start the car is worth $15,000. Plugging in other x values leads to other f(x) values. For example, if x = 2, then you should find that f(x) = 10584. This means the car is worth $10,584 after two years.
Answer:
A is $490 and B is 3990
Step-by-step explanation:
The way I solved this is with my last brain cells, you welcome.
