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3 years ago

7

An invoice quotes a price of $620 subject to discounts of 30%, 15%, and 5%. What is the selling price? (Round off your answer to

the nearest cent.)

1 answer:

Eddi Din [679]3 years ago

8 0

Selling price=620(1-0.30)(1-0.15)(1-0.05)
selling price = 620(.7)(.85)(.95) = 350.46

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Seven times the sum of 4 and some number is 42

Naddik [55]

Answer:

$x=2$

Step-by-step explanation:

$7\times{(4+x)}=42$

Divide both sides by 7:

$4+x=42\div{7}\\4+x=6$

Subtract 4 from both sides:

$x=6-4\\x=2$

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2 years ago

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3 years ago

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Walter invests $100,000 in an account that compounds interest continuously and earns 12%. How long will it take for his money to

prohojiy [21]

Answer:

$300000= 100000 e^{0.12 t}$

We divide both sides by 100000 and we got:

$3 = e^{0.12 t}$

Now we can apply natural logs on both sides;

$ln(3) = 0.12 t$

And then the value of t would be:

$t = \frac{ln(3)}{0.12}= 9.16 years$

And rounded to the nearest tenth would be 9.2 years.

Step-by-step explanation:

For this case since we know that the interest is compounded continuously, then we can use the following formula:

$A =P e^{rt}$

Where A is the future value, P the present value , r the rate of interest in fraction and t the number of years.

For this case we know that P = 100000 and r =0.12 we want to triplicate this amount and that means $A= 300000$ and we want to find the value for t.

$300000= 100000 e^{0.12 t}$

We divide both sides by 100000 and we got:

$3 = e^{0.12 t}$

Now we can apply natural logs on both sides;

$ln(3) = 0.12 t$

And then the value of t would be:

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And rounded to the nearest tenth would be 9.2 years.

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3 years ago

Chloe has a small dog and a large dog. Each day, the small dog eats 3/4 cup of dog food, and the large dog 2 1/2 cups of dog foo

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Answer:

A

Step-by-step explanation:

small dog eats 3/4 cup each day

large dog eats 1 cup each day

~after 1 week (x7)~

small dog = 5.25 cups

large dog = 7 cups

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2 years ago

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Rashid [163]

Answer: -2, 0, 4

Set the equation equal to zero.

x³ - 2x² - 8x = 0

Factor out x in the equation, since all the terms (x³, -2x², and -8x) are divisible by x. You can check your accuracy using the Distributive Property.

x(x² - 2x - 8) = 0

Factor out the polynomial. To do this, find two numbers that multiply to get the last term, -8, and add together to get the middle term, -2. In this case, those two numbers are -4 and 2 (-4 × 2 = -8 and -4 + 2 = -2). Don't forget about the x that was factored out before!

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Set each factor equal to zero and solve for x. The factors in the equation are x, (x - 4), and (x + 2).

x = 0
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x = 4

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The zeros of the polynomial function are -2, 0, and 4.

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3 years ago