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3 years ago

What is the percent of change for a sweater that is discounted from $44 to $35.20?

Mathematics

2 answers:

Marizza181 [45]3 years ago

5 0

% change = difference(original-discount price) divided by original number x100

% change = (8.8 / 40) x 100

% change = 22%

VARVARA [1.3K]3 years ago

3 0

Subtract the 2 numbers.
44 - 35.20 = 8.8

Divide this by the original number (The number without the discount), then multiply by 100.

8.8 / 44 * 100 = 20

The difference by percentage is 20%

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What is 0.2(x+2)-2=0.4

NikAS [45]

.2(x+2)=2.4
x+2=12
x=10

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3 years ago

Determine whether set of values represents an inverse variation. If yes, identify the constant of variation and write an inverse

Natasha_Volkova [10]

SOLUTION

If the table represents an inverse variation, it means that y is inversely proportional to x, written as

$\begin{gathered} y\propto\frac{1}{x} \\ \propto is\text{ a sign of proportionality } \end{gathered}$

Removing the proportionality sign and introducing a constant k, we have

$\begin{gathered} y=k\times\frac{1}{x} \\ y=\frac{k}{x} \end{gathered}$

In the first column, we have x = -4 and y = 3.5. Substituting these values for x and y, we have

$\begin{gathered} y=\frac{k}{x} \\ 3.5=\frac{k}{-4} \\ k=3.5\times-4 \\ k=-14 \end{gathered}$

So, if it's an inverse variation, the relationship would be

$y=\frac{-14}{x}$

In the second column, x = -2 and y = 7.

Now lets substitute the value of x for -2. If we get y to be 7, then the relationship is an inverse variation

We have

$\begin{gathered} y=\frac{-14}{x} \\ y=\frac{-14}{-2} \\ y=7 \end{gathered}$

Since we got y = 7, the relationship is therefore an inverse variation.

The constant k = -14

The equation for the inverse variation is

$y=\frac{-14}{x}$

3 0

1 year ago

Find principal of a loan at 11% for 5 years with $426.25 simple interest

Ahat [919]

Answer:

$P=775$

Step-by-step explanation:

The Simple Interest Equation is $A = P(1 + rt)$

where

A = Total Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

t = Time Period involved in months or years

In this case, we do not know the values of the equation (A and P), but we know the amount of interest accrued

If we define our principal whit this formula, we are able to know the rest of the values:

$A-P= interest$

clearing

$A=interest+P$

replacing

$426.25 + P = P (1+(0.11(5))$

Solving

$426.25+P=1.55P$

$P-1.55P=-426.25$

$-0.55P=-426.65$

$P=\frac{-426.25}{-0.55}$

$P=775$

7 0

3 years ago

1. In 2011, Molly and Jerry both went to

True [87]

Answer:

2017

Step-by-step explanation:

Molly goes every 2 years

Jerry goes every 3 years

LCM(2,3) = 2 x 3 = 6

2011 + 6 = 2017

The answer is 2017

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Answer:

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3 years ago