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algol [13]
2 years ago
8

Charlie bought a car for 5% off the selling price of $7,200. The sales tax for his state is 3.4%. How much is the sales tax?

Mathematics
2 answers:
Tcecarenko [31]2 years ago
6 0
If it is 5% off, then ur paying 95%

0.95(7200) = 6840......sales tax = 3.4% of 6840 = 0.034(6840) = 232.56
dedylja [7]2 years ago
5 0
5% of 7200 is 360. Subtract 360 from 7200 to get 6840. The sales tax (3.4%) of 6840 is 232.56.
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Let g(x) = 2x and h(x)= x^2 -4. find (g o h)(0)
finlep [7]
The answer is -8

====================================================

Explanation:

There are two ways to get this answer

Method 1 will have us plug x = 0 into h(x) to get
h(x) = x^2 - 4
h(0) = 0^2 - 4
h(0) = 0 - 4
h(0) = -4
Then this output is plugged into g(x) to get
g(x) = 2x
g(-4) = 2*(-4)
g(-4) = -8 which is the answer
This works because (g o h)(0) is the same as g(h(0)). Note how h(0) is replaced with -4
So effectively g(h(0)) = -8 which is the same as (g o h)(0) = -8

-----------------------

The second method involves a bit algebra first
Start with the outer function g(x). Then replace every x with h(x). On the right side, we will replace h(x) with x^2-4 because h(x) = x^2-4

g(x) = 2x
g(x) = 2( x )
g(h(x)) = 2( h(x) ) ... replace every x with h(x)
g(h(x)) = 2( x^2-4 ) ... replace h(x) on the right side with x^2-4
g(h(x)) = 2x^2-8
(g o h)(x) = 2x^2-8

Now plug in x = 0
(g o h)(x) = 2x^2-8
(g o h)(0) = 2(0)^2-8
(g o h)(0) = 2(0)-8
(g o h)(0) = 0-8
(g o h)(0) = -8

Regardless of which method you use, the answer is -8

5 0
3 years ago
An 16 16​-oz jar of peanut butter in the shape of a right circular cylinder is 7 7 in. high and 5 5 in. in diameter and sells fo
olya-2409 [2.1K]

Answer:

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 3.14

Considering the 16 oz jar,

h = 7 inches

Diameter = 5 inches

Radius = diameter/2 = 5/2

r = 2.5 inches

Volume = 3.14 × 2.5² × 7 = 137.375 inches³

Considering the 29 oz jar,

h = 7.5 inches

Diameter = 5.25 inches

Radius = diameter/2 = 5.25/2

r = 2.625 inches

Volume = 3.14 × 2.625² × 7.5 = 162.27 inches³

1) If the cost is directly proportional to​ volume, then

If 137.375 inches³ cost $1.6

then 162.27 inches³ should cost

(162.27 × 1.6)/137.375 = $1.89

The price of the larger jar would be $1.89

2) If the cost is directly proportional to​ weight, then

If 16 oz cost $1.6, then

29 oz would cost

(29 × 1.6)/16 = $2.9

The price of the larger jar would be $2.9

7 0
2 years ago
243^-y=(1/243)^3y*9^-2y<br><br><br> a.) y=-1<br> b.) y=0<br> c.) y=1<br> d.) no solution
allochka39001 [22]
243^{-y}=(\frac{1}{243})^{3y}\times 9^{-2y} has y = 0 as a solution.

Selection B is appropriate.
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2 years ago
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What is the solution to 1-(2x+4)=-4x+5
faust18 [17]
Solve for x by simplifying both sides of the equation, then isolating the variable.
x = 4
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3 years ago
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Blank - 2 1/3 = 3 1/3 please help I need to finish my homework :(
mafiozo [28]
The answer is 3 1/3 + 2 1/3 = 5 2/3
7 0
2 years ago
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