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gtnhenbr [62]
3 years ago
5

If you buy something at a 20% discount off the listed price of $ 97, but pay a sales tax of 10% after the discount is applied, h

ow much do you end up paying? $
Mathematics
1 answer:
kaheart [24]3 years ago
8 0
$85.36 is the correct answer
You might be interested in
Need help and explain please!!
lukranit [14]

Answer:

x=-4\text{ and } x=3

Step-by-step explanation:

We are given the second derivative:

g''(x)=(x-3)^2(x+4)(x-6)

And we want to find its inflection points.

To do so, we will first determine possible inflection points. These occur whenever g''(x) = 0 or is undefined.

Next, we will test values for the intervals. Inflection points occur if and only if the sign changes before and after the point.

So first, finding the zeros, we see that:

0=(x-3)^2(x+4)(x-6)\Rightarrow x=-4, 3, 6

So, we can draw the following number-line:

<----(-4)--------------(3)----(6)---->

Now, we will test values for the intervals x < -4, -4 < x < 3, 3 < x < 6, and x > 6.

Testing for x < -4, we can use -5. So:

g^\prime^\prime(-5)=(-5-3)^2(-5+4)(-5-6)=704>0

Since we acquired a positive result, g(x) is concave up for x < -4.

For -4 < x < 3, we can use 0. So:

g^\prime^\prime(0)=(0-3)^2(0+4)(0-6)=-216

Since we acquired a negative result, g(x) is concave down for -4 < x < 3.

And since the sign changed before and after the possible inflection point at x = -4, x = -4 is indeed an inflection point.

For 3 < x < 6, we can use 4. So:

g^\prime^\prime(4)=(4-3)^2(4+4)(4-6)=-16

Since we acquired a negative result, g(x) is concave down for 3 < x < 6.

Since the sign didn't change before and after the possible inflection point at x = 3 (it stayed negative both times), x = -3 is not a inflection point.

And finally, for x > 6, we can use 7. So:

g^\prime^\prime(7)=(7-3)^2(7+4)(7-6)=176>0

So, g(x) is concave up for x > 6.

And since we changed signs before and after the inflection point at x = 6, x = 6 is indeed an inflection point.

3 0
3 years ago
Six houses are located along the same road; the distances are shown. Where should the school bus stop to make the sum of distanc
sukhopar [10]
Hey there :)

Now lets name each house

    A             B              C              D             E                  F
500ft <-> 500ft <-> 500ft <-> 500ft <-> 500ft   <->   2000ft

Let's say the bus stops at A
= 0 ( from A ) + 500 ( from B ) +  500 + 500 ( from C ) + 500 + 500 + 500 ( from D ) + 500 + 500 + 500 + 500 ( from E ) + 500 + 500 + 500 + 500 + 2000 ( from F )
= 0 + 500 + 1000 + 1500 + 2000 + 4000
= 9000 ft

at B
= 500 ( from A ) + 0 ( from B ) + 500 ( from C ) + 500 + 500 ( from D ) + 500 + 500 + 500 ( from E ) + 500 + 500 + 500 + 2000 ( from F )
= 500 + 0 + 500 + 1000 + 1500 + 3500
= 7000 ft

at C
= 500 ( from A ) + 500 + 500 ( from B ) + 0 ( from C ) + 500 ( from D ) + 500 + 500 ( from E ) + 500 + 500 + 2000 ( from F )
= 500 + 1000 + 0 + 500 + 1000 + 3000
= 6000 ft

Do the same for D ,  E  and F

at D
= 6000 ft

at E 
= 7000 ft

at F
= 15000 ft

You will find that the bus should stop at either C or D to make the sum of distances from every house to the stop as small as possible. 
8 0
3 years ago
Read 2 more answers
8. The total weight of a vase and its packaging is: 4 lb. 7 oz. The vase by itself
scoray [572]

Answer:

E

Step-by-step explanation:

the weight of the packaging materials is 12 oz. There are 16 oz in a pound. If the vase weighs 3 lb 11 oz, it would take 5 more oz to reach the next pound, and there was another 7 oz after that. You would then do 5 + 7, which is 12, so the packaging materials weigh 12 oz.

7 0
3 years ago
The Kansas predicted that in 2018 the population in Centerville would be 17,466 and actuality it was 16,400 what is the percent
sammy [17]

Answer:

6.5%

Step-by-step explanation:

Percentage error formula =

|Estimated value - Real value|/Real value × 100

From the above question,

Estimated value = 17,466

Real value = 16,400

Percentage error = |17,466 - 16,400|/16,400 × 100

= 1066/16,400 × 100

= 0.065 × 100

= 6.5%

Therefore, the percent error = 6.5%

5 0
2 years ago
Read 2 more answers
WILL MARK BRAINLEIST please give me a good summary of the Pythagorean Theorem
Rudik [331]

Answer:

The Pythagorean Theorem is a statement about triangles containing a right angle. The Pythagorean Theorem states that: "The area of the square built upon the hypotenuse of a right triangle is equal to the sum of the areas of the squares upon the remaining sides."

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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