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PSYCHO15rus [73]
3 years ago
8

Hoodies were on sale for 20% off of the original price. Hyde bought a hoodie on sale that had an original price of $74.00. The s

ales tax was then 6.25%. How much did Hyde pay for the sweater?
Mathematics
2 answers:
AnnyKZ [126]3 years ago
7 0
74 x .2 = 14.80 thats the discount
74 - 14.80 = 59.20
59.20 x .0625 =3.7 (thats the tax, add it)
59.20 + 3.7 = 62.90 the final price
Georgia [21]3 years ago
4 0
20% off means u r paying 80%

0.80(74) = 59.20 (without tax)

sales tax is 6.25%...
59.20 + 0.0625(59.20) = 59.20 + 3.70 = $ 62.90 <==with tax included
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Dilution Problem
LUCKY_DIMON [66]

Answer:

  76.7 liters

Step-by-step explanation:

You have ...

  C1×V1 = C2×V2

so ...

  V2 = V1×(C1/C2) = (115 L)×(14/21) = 76 2/3 L

  V2 ≈ 76.7 L

4 0
3 years ago
Could someone help me rnnn?
GuDViN [60]

Answer:

vertex = (0, -4)

equation of the parabola:  y=3x^2-4

Step-by-step explanation:

Given:

  • y-intercept of parabola: -4
  • parabola passes through points: (-2, 8) and (1, -1)

Vertex form of a parabola:  y=a(x-h)^2+k

(where (h, k) is the vertex and a is some constant)

Substitute point (0, -4) into the equation:

\begin{aligned}\textsf{At}\:(0,-4) \implies a(0-h)^2+k &=-4\\ah^2+k &=-4\end{aligned}

Substitute point (-2, 8) and ah^2+k=-4 into the equation:

\begin{aligned}\textsf{At}\:(-2,8) \implies a(-2-h)^2+k &=8\\a(4+4h+h^2)+k &=8\\4a+4ah+ah^2+k &=8\\\implies 4a+4ah-4&=8\\4a(1+h)&=12\\a(1+h)&=3\end{aligned}

Substitute point (1, -1) and ah^2+k=-4 into the equation:

\begin{aligned}\textsf{At}\:(1.-1) \implies a(1-h)^2+k &=-1\\a(1-2h+h^2)+k &=-1\\a-2ah+ah^2+k &=-1\\\implies a-2ah-4&=-1\\a(1-2h)&=3\end{aligned}

Equate to find h:

\begin{aligned}\implies a(1+h) &=a(1-2h)\\1+h &=1-2h\\3h &=0\\h &=0\end{aligned}

Substitute found value of h into one of the equations to find a:

\begin{aligned}\implies a(1+0) &=3\\a &=3\end{aligned}

Substitute found values of h and a to find k:

\begin{aligned}\implies ah^2+k&=-4\\(3)(0)^2+k &=-4\\k &=-4\end{aligned}

Therefore, the equation of the parabola in vertex form is:

\implies y=3(x-0)^2-4=3x^2-4

So the vertex of the parabola is (0, -4)

5 0
2 years ago
Read 2 more answers
what is the answer for this question and can tell me how to do this problem too. 791 + 11 &gt; 959 − 13
kompoz [17]

Answer:

The question is false

Step-by-step explanation:

4 0
3 years ago
Which equation is solved for the variable h? v=by/3
max2010maxim [7]
The equation is given as: v=by/3 but it is actually <span>v=bh/3
</span><span>
Ans, now, we need to solve this for variable h.

So, </span>v=bh/3
On cross multiplying, we get,
3 × v = bh
On dividing the complete equation by "b" we get,
(3×v) / b = (bh)/b 

or  (3×v) / b = h

Thus, the value of h is : 3v/b 
8 0
3 years ago
Solve these compound interest problems and round your answer to the nearest 100th.
MatroZZZ [7]

Answer:

$2,226.96

Step-by-step explanation:

You are going to want to use the compound interest formula, which is shown below.

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance </em>

<em>r = interest rate </em>

<em>n = number of times compounded annually </em>

<em>t = time </em>

<em />

First, change 10% into its decimal form:

10% -> \frac{10}{100} -> 0.1

Now lets plug in the values into the equation:

A=500(1+\frac{0.1}{12})^{15(12)}

A=2,226.96

The final amount after 15 years is $2,226.96

4 0
3 years ago
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