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3 years ago

Find the value of (2^−2 − 4^0) × 4^−2

Mathematics

2 answers:

Dafna1 [17]3 years ago

8 0

Answer:

-0,046875

Step-by-step explanation:

$( {2}^{ - 2} - {4}^{0} ) \times {4}^{ - 2} \\ = (0.25 - 1) \times 0.0625 \\ = - 0.75 \times 0.0625 \\ = - 0.046875$

kow [346]3 years ago

5 0

-3/64

A negative exponent you treat the same as a positive exponent, except the answer is the reciprocal (ex the reciprocal of 5 is 1/5, and the reciprocal of 3/5 is 5/3)

2^-2 is the same thing as 1/2^2, which equals 1/4. 4^0 = 1, as any number to the 0th power equals 1.

1/4-1=-3/4

4^-2 is the same thing as 1/4^2, which is 1/16.

Multiply -3/4 by 1/16, to get your answer, which is -3/64

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Marissa's Fashions purchases designer boots from a manufacturer for $50.88 per pair. Marissa then adds a certain amount to the p

KATRIN_1 [288]

Answer:

Markup of _66.67_ % or $ _33,92_ per pair of boots

Step-by-step explanation:

In order to find the markup per pair of boots, we need to find the sales price BEFORE tax.

That can be done simply with a cross-multiplication (106.25 represents total price with 6.25% tax, and 100 represent amount of sales before tax)

$\frac{90.10}{106.25} = \frac{x}{100}$

if we isolate x we have x = (90.10 * 100) / 106.25 = $84.80

We can then easily calculate the markup amount, since the boots were sold $84.80 and Marissa paid $50.88, that means her markup amount is $33.92.

Now, let's calculate the markup percentage by see how much $33.92 represents compared to the initial price of $50.88:

$33.92 / $50.88 = 66.67%

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3 years ago

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VashaNatasha [74]

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Step-by-step explanation:

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Type the slope intercept equation of the line that passes through the points (3, -2) and (6, 4)

Salsk061 [2.6K]

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3 years ago

Jack Matthew bought a new diamond ring for $20,000. Sales tax is 5% with a 10% excise tax. The total price including taxes that

Blizzard [7]

Jack paid $ 23000 for the ring.

Solution:

Given that, Jack Matthew bought a new diamond ring for $20,000

Sales tax is 5% with a 10% excise tax

To find: total price including taxes

Given that sales tax is 5% of 20,000

$\begin{array}{l}{\text { Sales tax }=5 \% \times \text { cost price }} \\\\ {\text { Sales tax }=\frac{5}{100} \times 20000=5 \times 200=1000}\end{array}$

Also given that excise tax is 10%

$\begin{array}{l}{\text { Excise tax }=10 \% \times \text {cost price }} \\\\ {\text { Excise tax }=\frac{10}{100} \times 20000=10 \times 200=2000}\end{array}$

Total price = cost price + sales tax + excise tax

Total price = 20,000 + 1000 + 2000

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Hence, jack paid $ 23000 for the ring.

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4 years ago

Which is an equation of a line that has a y-intercept of 7 and is perpendicular to the graph of y=5x−3?

kherson [118]

Answer:

$y = -\frac{1}{5}x + 7$

Step-by-step explanation:

Find the perpendicular slope:

$-\frac{1}{5}$

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Slope-intercept form:

$y = -\frac{1}{5}x + 7$

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3 years ago

Find the value of (2^−2 − 4^0) × 4^−2​

Find the value of (2^−2 − 4^0) × 4^−2