$70 = 270 min
x = 1260 min
Where x is the charge of phone service per 1260 min.
Cross multiply:
1260 * 70 = 270 * x
88200 = 270x
88200/270 = x
x = 326.67
The total charge of cellular phone service for 1260 min is $326.67
Answer:
1/12 yards
Step-by-step explanation:
5×1/6 yards = 5/6 yards
5/6 yards - 3/4 yards = 10/12 yards - 9/12 yards
= 1/12 yards
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.
C
The first binomial can have an x factored out, resulting in (x-7) and the second binomial can have a 7 factored out, resulting in (x+3)
Answer:
B. (12-6) n - 50
Step-by-step explanation:
Given that:
Cost of making hat = $6 per hat
Selling price = $12 per hat
Advert cost = $50
Number of hats made = n
The profit or money raised from the sales of hat:
Total Revenue from sales - total cost of production - advert cost
Total Revenue from sales = ($12 * n) = $12n
Total cost of production = ($6 * n) = $6n
Advert cost = $50
Hence,
12n - (6n + 50)
12n - 6n - 50
(12 - 6)n - 50
