To increase an amount by 3% what single multiplier would you use?

1 answer:

3 0

3% is the decimal 0.03 .

To make a number 3% bigger, multiply it by 1.03 .

The ' 1 ' part is the amount that's already there, and
the ' .03 ' part is the amount to be added onto it.

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Find the value of r so the line that passes through each pair of points has the given slope.

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Answer:

r = 1

Step-by-step explanation:

slope = change in y / change in x, so:

change in y / change in x = 2/3

5 - r / 7 - 1 = 2/3

5 - r / 6 = 2/3

$\frac{5-r}{6}=\frac{2}{3}$

now solve this equation.

first, multiply both sides by 6 to get rid of the fraction:

$5 - r = 4$

subtract 5 from both sides

$-r=-1$

multiply both sides by -1

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3 years ago

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Answer:

The scooter is going faster.

Step-by-step explanation:

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Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show your work.

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Step-by-step explanation:

Quadrilateral ABCD is inscribed in a circle.

Opposite angles of a Quadrilateral are Supplementary.

$\therefore \: \angle A + \angle C = 180° \\ \therefore \:(2x + 3) \degree+ (2x + 1) \degree = 180° \\ \therefore \: (4x + 4) \degree = 180° \\ \therefore \: (4x + 4) = 180 \\ \therefore \: 4x = 180 - 4 \\ \therefore \: 4x = 176 \\ \therefore \: x = \frac{176}{4} \\ \therefore \: x = 44 \\ \\ m\angle A = (2x + 3) \degree \\ = (2 \times 44 + 3) \degree \\ = (88 + 3) \degree \\ \huge \red{ \boxed{ \therefore \: m\angle A =91 \degree}} \\ \\ m\angle C = (2x + 1) \degree \\ = (2 \times 44 + 1) \degree \\ = (88 + 1) \degree \\ \huge \red{ \boxed{ \therefore \: m\angle C=89\degree}} \\ \\ m\angle D= (x - 10) \degree \\ = (44 - 10) \degree \\ \huge \red{ \boxed{ \therefore \: m\angle D =34\degree}} \\ \\ similarly \\ \\ \huge \red{ \boxed{ \therefore \: m\angle B = 146\degree}} \\ \\$