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Sveta_85 [38]
2 years ago
11

A quantity with an initial value of 9700 grows continuously at a rate of 0.65% per hour. What is the value of the quantity after

2.75 days, to the nearest hundredth?
Mathematics
1 answer:
Llana [10]2 years ago
7 0

Answer:

.65% / hr = .0065 / hr

2.75 days * 24 hrs / day = 66 hrs

66 hrs * .0065 / hr = .429

So our amount will become

A = A0 ( 1 + .429) = 9700 * 1.429 = 13860

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The answer is 12.58 rounded up it would be 13 so the correct answer is A
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How many 'faces' are on this square pyramid?​
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Step-by-step explanation:

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Jane is 5 times older than her sister. In 3 years, Jane’s sister will be 1/4 her age. Find the ages now
Korolek [52]

The present age of Jane is 45 years old and present age of her sister is 9 years old

<em><u>Solution:</u></em>

Let the present age of Jane be "x"

Let the present age of her sister be "y"

<em><u>Jane is 5 times older than her sister</u></em>

present age of Jane = 5(present age of her sister)

x = 5y ---------- eqn 1

<em><u>In 3 years, Jane’s sister will be 1/4 her age</u></em>

Age of sister after 3 years = 3 + y

Age of jane after 3 years = 3 + x

Age of sister after 3 years = 1/4(age of jane after 3 years)

3 + y = \frac{1}{4}(3 + x)

Substitute eqn 1 in above equation

3 + y = \frac{1}{4}(3 + 5y)\\\\12 + 4y = 3 + 5y\\\\5y - 4y = 12 - 3\\\\y = 9

Substitute y = 9 in eqn 1

x = 5(9)

x = 45

Thus present age of Jane is 45 years old and present age of her sister is 9 years old

3 0
3 years ago
Suppose the sample space for a probability experiment has 8 elements. If elements from the sample are selected without replaceme
Gwar [14]

Answer: Number of ways =\dfrac{8!}{8!0!}\ or \ 1

Step-by-step explanation:

When there is no replacement , we use combination to find the number of ways to choose things.

Number of ways to choose r things out of  ( with out replacement) = ^nC_r=\dfrac{n!}{r!(n-r)!}

The number of ways to choose  8 things = ^8C_8=\dfrac{8!}{8!(8-8)!}=\dfrac{1}{0!}=1  [\because 0!=1]

Hence,  Number of ways =\dfrac{8!}{8!0!}\ or \ 1

5 0
2 years ago
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