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3 years ago

12

Jeffrey plans to rent a beach house for sister's birthday and will use the savings to pay for it the company charges to $25 clea

ning fee plus $10 per hour for the house if he rents the house for six hours what will the change in Jeffrey savings

1 answer:

balu736 [363]3 years ago

5 0

He will be using $85 for all of that

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Find the savings plan balance after 2 years with an APR of 4% and monthly payments of $250. The balance is $ (Do not round until

alexdok [17]

Answer:

$6,506.51

Step-by-step explanation:

Recall that increasing an amount C in x% is equivalent to multiply it by (1+x/100)

As we have 4% APR, the monthly interest would be (4/12)% = 0.04/12

<u>Month 0</u> (first payment)

$250

Month 1

$250 + 250 \frac{0.04}{12}= 250(\frac{12.04}{12})$

<u>Month 2</u>

$250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2)$

<u>Month 3</u>

$250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3)$

<u>Month 24 (2 years)</u>

$250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3+...+(\frac{12.04}{12})^{24})$

The sum

$1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3+...+(\frac{12.04}{12})^{24}$

is the sum of the first 24 terms of a geometric sequence with common ratio $\frac{12.04}{12}$ which is

$\frac{1-(12.04/12)^{25}}{1-(12.04/12)}=26.02603071$

so, after 2 years the saving balance is

250*26.02603071 = 6,506.50767= $6,506.51 rounded to the nearest cent.

6 0

3 years ago

Please solve this question fast.

Alexxandr [17]

Answer:

See Explanation

Step-by-step explanation:

${a} = {6}^{x}, \: \: b = {6}^{y} ...(given) \\ {a}^{y}. {b}^{x} = 36..(1) \\ pluggig \: the \: values \: of \: a \: and \: b \: in \: (1) \\ ({6}^{x}) ^{y} . ({6}^{y}) ^{x} = {6}^{2} \\ {6}^{xy}.{6}^{xy} = {6}^{2} \\ {6}^{xy + xy} = {6}^{2} \\ {6}^{2xy} = {6}^{2} \\ bases \: are \: equal \: so \: exponentes \: will \: also \: be\\ \: equal \\ \therefore \: 2xy = 2 \\ xy = \frac{2}{2} \\ \huge \red { \boxed{ xy = 1}} \\ hence \: proved \\$

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2 years ago

a school bought 831 boxes of computer paper for the computer lab. Each box has 59 sheets of paper inside it. how many sheets of

Bess [88]

<span> 831 *59=49,029

hope this helps!</span>

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3 years ago

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The radius of a semicircle is 3 feet. What is the semicircle's area?<br>Use 3.14 for Pi

valentinak56 [21]

Answer:

14.13 ft²

Step-by-step explanation:

The area of a semicircle is

$= \frac{\pi \: {r}^{2} }{2}$

We were given the radius of the semicircle to be: r=3 feet.

We were also asked to use π as 3.14.

We substitute into the formula to get:

$= \frac{3.14 \times {3}^{2} }{2}$

This is the same as:

$= \frac{3.14 \times 9}{2}$

Or

$= 3.14 \times 4.5$

$= 14 .13 {ft}^{2}$

The area of the semicircle is 14.13 ft²

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3 years ago

An 18 pound turkey cooks for 4.5 hours. How long will it take for a 12 pound turkey to cook?

OverLord2011 [107]

Answer:

3 hours

Step-by-step explanation:

We can solve using ratios

18 lbs 12 lbs

------------ = --------------

4.5 hrs x hours

Using cross products

18x = 12 * 4.5

18x = 54

Divide by 18

18x/18 = 54/18

x=3

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3 years ago

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