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andrew11 [14]
2 years ago
5

Mr.Anderson paid $19.18 for a CD cover. This amount includes a tax of 8.5%. What was the cost of the CD cover before tax ?

Mathematics
1 answer:
MrRa [10]2 years ago
3 0
X * 1.085 = 19.18
solve for x

Why is this how you figure it out? well... you have the price of the CD cover and the total is the price of the CD cover with tax. 

Price of the CD cover would be: x * 1 = price of cd cover
Put that tax on there: x * 1.085 = price of cd cover with tax

why .085? move that decimal over two places to the left from the 8.5%
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Answer:

Therefore Josiah must sell 68 or 69 or 70 tacos in order to meet the requirement.

Step-by-step explanation:

Given , Josiah owns a food truck that sells tacos and burritos.

He sells each burritos for $7.50. If 79 burritos were sold.

Then the price of 79 burritos is $(7.50×79) =$592.50

Let x tacos were sold.

He sells each tacos for $5.

Then the price of x tacos is = $(x × 5)=$5x

Also given that Josiah must sell a minimum of $930 worth of tacos and burritos.

Therefore,

5x+592.50≥ 930

⇔5x≥930-592.50

⇔5x≥337.5

⇔x≥67.5

But he only has enough supplies to make 149 tacos or burrito.

He already sold 79 burrito.

So, remain space for tacos is = (149-79) = 70

So,67.5≤x≤70

∴x = 68 or 69 or 70

Therefore Josiah must sell 68 or 69 or 70 tacos in order to meet the requirement.

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2 years ago
Which equation is y = 3(x – 2)2 – (x – 5)2 rewritten in vertex form? Y = 3 (x minus seven-halves) squared minus StartFraction 27
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Answer: y = 2 (x minus one-half) squared minus StartFraction 27 Over 2 EndFraction

or

y=2((x-\dfrac{1}{2})^2)-\dfrac{27}{2}

Step-by-step explanation:

Vertex form of equation : f (x) = a(x - h)^2 + k,where (h, k) is the vertex of the parabola.

y=3(x-2)^2-(x-5)^2\\\\=3(x^2+4-4x)-(x^2+25-10x)\\\\=3x^2+12-12x-x^2-25+10x\\\\=2x^2-2x-13\\\\=2(x^2-x-\dfrac{13}{2})\\\\=2(x^2-x+\dfrac{1}{4}-\dfrac{1}{4}-\dfrac{13}{2})\\\\=2((x-\dfrac{1}{2})^2-\dfrac{1+26}{4})\\\\=2((x-\dfrac{1}{2})^2-\dfrac{27}{4})=2((x-\dfrac{1}{2})^2)-\dfrac{27}{2}

Hence, the vertex form of the equation is y=2((x-\dfrac{1}{2})^2)-\dfrac{27}{2}

8 0
2 years ago
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Eugene took out a loan for $1075 at a 12.6% APR, compounded monthly, to
aleksandr82 [10.1K]

Answer:

approximately 12 payments.

Step-by-step explanation:

you can pay off the loan in a year by multiplying 87.25 and 12. this will give you 1047, which is about 28$ off. then after that year, you can pay off the $28 whenever you finish with the 87.25

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2 years ago
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Zigmanuir [339]

Answer:

The measure of angle HBC is m∠HBC=61°

Step-by-step explanation:

In this problem we have that

The line BH bisects angle EBC,

see the attached figure to better understand the problem

then

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m∠EBH=m∠HBC

so

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substitute the given values and solve for a

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<em>Find the measure of angle EBH</em>

m∠EBH=(4(4)+45)=61°

Remember that

m∠EBH=m∠HBC

therefore

The measure of angle HBC is m∠HBC=61°

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Step-by-step explanation:

Will bought several books that cost $ 2.50 each and received a $ 2 discount on the total bill. If he paid $ 10.50, how many books did he buy ?

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2.50x = 10.50 + 2.00

2.50x = 12.50

x = 12.50/2.50

x = 5....he bought 5 books

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