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suter [353]
3 years ago
9

A mattress store charges 7% sales tax and a 50 delivery fee

Mathematics
2 answers:
umka2103 [35]3 years ago
5 0

Answer:

g(f(a)) = 1.07a +50.

Total cost including delivery charges is $1253.75.

amm18123 years ago
3 0

We are given function f(a) = 1.07a for total amount including sales tax.

g(b) = b+50 total cost including delivery.


We need to write function g(f(a)).

g(f(a)) = g of f(a).

We need to substitute function f(a) in g(b) function for b.

g(f(a)) = g(1.07a) = 1.07a +50.

<h3>Therefore,  g(f(a)) = 1.07a +50.</h3>

We are given mattress price a = $1125.

In order to find the total cost including delivery charges, we need to plug a= 1125 in the above function 1.07a +50.

Plugging a= $1125, we get

g(1125) = 1.07a +50 = 1.07*1125 +50 = 1203.75 +50 = 1253.75.

<h3>Therefore, total cost including delivery charges is $1253.75.</h3>
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