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3 years ago

If an item is marked up 15% and the new cost is 155.25 what was the original price

Mathematics

1 answer:

Dmitry [639]3 years ago

4 0

(1-0.15)=0.85
0.85 (155.25)=131.962
estimated answer
131.962 is about $132.00

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What is the frequency of d=9cos(pi/2 t)

patriot [66]

The period is equal to 2pi/n, where n is the coefficient of t. In this case pi/2. Therefore the period in this example is 4. Frequency is equal to 1/period. Hence the frequency for this problem is 1/4

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3 years ago

1.13 Thank you! (Sorry it’s so blurry)

VikaD [51]

$\sqrt[8]{48^4}$ can be rewritten as $48^4$ to the $\frac{1}{8}$ power:

$(48^4)^ \frac{1}{8}$

Now, applying exponent rules (multiply exponent inside parentheses by the one outside parentheses), we get:

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3 years ago

Stuart's bank account had a balance of - $54.19 last month. This month he won a cash prize of $70.82 for winning a competition.

Alenkinab [10]

If Stuart starts with -$54.19 then gains $70.82, you have to add the gained amount to the origin amount. Since the origin amount is negative, you can also subtract the origin amount from the gained amount to find the amount left at the end of the month.

Add 70.82 to -54.19

-54.19 + 70.82 = 16.63

Alternative method:

First, subtract 54.19 from 70.82.

70.82 - 54.19 = 16.63

Add 54.19 to -54.19, bringing you to 0.

-54.19 + 54.19 = 0

Now add the remaining 16.63.

0 + 16.63 = 16.63

<h2>Answer:</h2>

Stuart will have $16.63 at the end of this month.

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3 years ago

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asambeis [7]

Answer:

B) 8 and 24.

Step-by-step explanation:

Just by looking at the answer choices, since one number must be three times the other, we can determine that the correct answer is B.

Regardless, let's work this out mathematically. Let the first number be a and the second number be b.

Their difference is 16. Hence:

$a-b=16$

The first number is three times the second number. So:

$a=3b$

Substitute:

$3b-b=16$

Solve for b. Subtract:

$2b=16$

And divide both sides by two:

$b=8$

So, the second number is 8.

And since the first number is three times the second, the first number is 24.

Our answer is B as expected.

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3 years ago

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3 years ago

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