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2 years ago

Jimmy borrowed $450 to start a lawn-mowing business. He charges $35 per lawn and it costs him $8 in operating costs per lawn.

Mathematics

1 answer:

Akimi4 [234]2 years ago

3 0

Answer: $450

Step-by-step explanation:

Given that:

Amount borrowed = $450

Amount charged per lawn = $35

Operating cost per lawn = $8

Jimmy's cost (C(x)) :

Amount borrowed + operating cost

If x lawns are mowed :

$450 + $8 per lawn

$450 + $8x

C(x) = 450 + 8x

Intercept (value of y when x = 0

Value of C(x) ; when x = 0

C(x) = 450 + 8(0)

C(x) = 450 + 0

C(x) = 450

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nth term = $t_{n} = 7.639(1.2)^{n - 1}$

Step-by-step explanation:

Let us assume that the given sequence is a G.P.

Now, if the first term of the G.P. is a and the common ratio is r, then

Third term = $t_{3} = ar^{2} = 11$ .......... (1) and

20th term = $t_{20} = ar^{19} = 244.2$ ........... (2)

Now, dividing equation (2) with equation (1) we get

$\frac{ar^{19} }{ar^{2} } = \frac{244.2}{11} = 22.2$

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Therefore, the general term of the sequence i.e. nth term = $t_{n} = 7.639(1.2)^{n - 1}$ (Answer)

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