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Lelu [443]
3 years ago
11

If an item that originally cost $13 is increased to $19, what is the percentage of increase in the item?

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
4 0
Original cost (OC) = $13

New cost (NC) = $19

Percentage increase = \frac{NC - OC}{OC} *100 =  \frac{19 - 13}{13} * 100 =  \frac{6}{13} * 100

= 46.15 %
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The area of a rectangle is represented by the function A = n^3 - 6n^2 - 8n + 48.
aliya0001 [1]

Answer:

P = 2(n - 6) + 2(n^2 - 8)

Step-by-step explanation:

Remembering that Area = Length times Width, we factor the given function

A = n^3 - 6n^2 - 8n + 48 in the expectation that the resulting factors represent the length and width respectively:

A = n^3 - 6n^2 - 8n + 48 factors as follows:

A = n^2(n - 6) - 8(n - 6), or A = (n - 6)(n^2 - 8)

We can label '(n - 6)' "width" and '(n^2 - 8'

length.

Then the perimeter, P, of the rectangle is P = 2(length) + 2(width). which works out here to:

P = 2(n - 6) + 2(n^2 - 8)

5 0
2 years ago
Steve drove at a constant rate to the beach for a vacation. In the equation below, t is the time in hours it took Steve to drive
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310/62= hours which equals 5! hope this helped a bit.
5 0
3 years ago
Read 2 more answers
An investor invests $2,500 into a mutual fund and earns 5.75% on the principle for each of three years. How much interest has ac
HACTEHA [7]

Answer:

Interest in 3 years = $456.52

Step-by-step explanation:

As we know the the formula of compound interest

Total amount =  A(1+\frac{r}{n})^{nt}

Here n = number of times amount is compounded

r = rate of interest

t = period

Here A = $2500

r = 0.0575

n = 1 (compounded annually)

t = 3 years

Therefore amount after 3 years

P=2500(1+\frac{.0575}{1})^{3}

P =2500(1.0575)³

  = 2500×1.18

  = $2956.52

We have to calculate the interest then

Interest = $2956.52-$2500 = $456.52

So after 3 years interest gained = $456.52

8 0
3 years ago
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Simply Each Expression ​
vitfil [10]

Answer:

\frac{4}{9x^2}

Step-by-step explanation:

(\frac{2x^3}{3x^4} )^2

= (\frac{2}{3x} )^2

= \frac{4}{9x^2}

3 0
3 years ago
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Using the quadratic formula to solve x2 + 20 = 2x, what are the values of x?
jeka94

by Quadratic formula , x^2 + 20 = 2x , values of x are x = 1 \pm (1)i\sqrt{19}} . None of mentioned options are correct according to question!

<u>Step-by-step explanation:</u>

Here we have , expression  x2 + 20 = 2x or , x^2 + 20 = 2x .

We know that Quadratic formula is :

x = \frac{-b \pm \sqrt{b^{2}-4ac}}{2a}

x^2 + 20 = 2x

⇒ x^2-2x+20=0

a=1\\b=-2\\c=20

Putting this value in equation x = \frac{-b \pm \sqrt{b^{2}-4ac}}{2a} :

⇒ x = \frac{-b \pm \sqrt{b^{2}-4ac}}{2a}

⇒ x = \frac{-(-2) \pm \sqrt{(-2)^{2}-4(1)(20)}}{2(1)}

⇒ x = \frac{2 \pm \sqrt{4-80}}{2}

⇒ x = (\frac{2 \pm 2i\sqrt{19}}{2})

⇒ x = 1 \pm (1)i\sqrt{19}}

Therefore , by Quadratic formula , x^2 + 20 = 2x , values of x are x = 1 \pm (1)i\sqrt{19}} . None of mentioned options are correct according to question!

7 0
3 years ago
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