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anastassius [24]
3 years ago
6

The grocery store pays a 15% tax on alcohol sales last year. The total tax paid last year was $3750. What was the total sales fo

r alcohol last year?
Mathematics
1 answer:
ss7ja [257]3 years ago
3 0
3750/15%= 3750 / 0.15 = 25000
A: $25000
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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
A high-interest savings account pays 5.5% interest compounded annually. If $300 is deposited initially and again at the first of
inessss [21]
That is an annuity and use the attached formula.

Total = 300 * [(1.055)^11 -1] / .055 -300
Total = 300 * <span> <span> <span> 1.8020924036  </span> </span> </span> -1 /.055 -300
Total = 300 * <span>.8020924036 / .055 - 300
</span>Total = 300 * <span> <span> <span> 14.5834982473 </span> </span> </span> -300
Total = <span> <span> <span> 4375.0494741818 </span> </span> </span> -300
Total = <span>4075.05


</span>

4 0
3 years ago
Is my name OG because i want to know
vovikov84 [41]

Answer:

okayyyyy.... then

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Which ratios are proportional to 6/8 ? Choose all answers that are correct.
Step2247 [10]
3/4 is one of them and 12/16
6 0
3 years ago
Read 2 more answers
There is triangle one of the angles is 101 degrees and the other is 38 workout x
Wittaler [7]

Angle sum property = Sum of the three angles of a triangle will be equal to 180° .

Using this let us find out the measure of x .

Measure of first angle = 101°

Measure of second angle = 38°

Measure of third angle = x

101 + 38 + x = 180

139 + x = 180

x = 180 - 139

= x = 41

∴ \: the \: value \: of \: x \:  = 41°

8 0
3 years ago
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