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liraira [26]
3 years ago
6

if £2000 is placed into a bank account that pays 3% compound interest per year, how much will be in the bank account after 2 yea

rs?
Mathematics
1 answer:
Vlad [161]3 years ago
6 0

100% + 3% = 103%

103% ÷ 100% = 1.03%

2000 x 1.03% squared = 2121.8

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Water flows into a swimming pool at the rate of 8.0 gal/min. The pool is 16 ft wide, 32 ft long and 8.0 ft deep. How long does i
Lady_Fox [76]

1 foot = 12 inches

(1 foot)^3 = (12 inches)^3

1 cubic foot = (12^3) cubic inches

1 cubic foot = 1728 cubic inches, will be used as a conversion factor

--------------

Find the volume of the pool. Assume it is a rectangular prism.

Volume = length*width*height

Volume = 32*16*8

Volume = 4096 cubic feet

Multiply by 1728, which was the conversion factor found earlier, to convert from cubic feet to cubic inches.

4096 cubic feet = (4096*1728) cubic inches = 7077888 cubic inches

--------------

Now use the fact that 1 gallon = 231 cubic inches to convert from cubic inches to gallons

7077888 cubic inches = (7077888 cubic inches)*(1 gallon/231 cubic inches) = 7077888/231 = 30640.2078 gallons which is approximate

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If x is the amount of time in minutes, then 8x gallons of water have been added after x minutes. Set this equal to 30640.2078 and solve for x

8x = 30640.2078

x = 30640.2078/8

x = 3830.02598

Divide this by 60 to convert to hours

3830.02598/60 = 63.8337663

<h3>It takes approximately 63.8 hours to fill the pool</h3>

This is approximately 63.8/24 = 2.625 days

8 0
3 years ago
A _______ is placed at the beginning of a staff to show the exact pitch of each line and space.
Yuliya22 [10]
The answer would be "clef"

7 0
3 years ago
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A shop has a sale of 25% off all items in stock.
blsea [12.9K]

25% off means the new price of the item is 75% of the originl price ( 100% - 25% = 75%)

Multiply the original price by 75%:

20 x 0.75 = 15

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Ron is planning to buy a condo that costs $85,000. At which mortgage lender will Ron get better deal? How much less will Ron pay
Andreyy89

Mortgage Lender A:

.

85000 - 4500 = 80500

80500\times .03 = 2415

80500 + 2915 = 82915

85000 - 7500 = 77500

77500 \times.06 = 4650

77500 + 4650 = 82150

Lender B is the cheapest by $745!!!

5 0
3 years ago
Someone help, I just need the answers, no explanation or non of that
liraira [26]

Answer:

5). x = 15

7). JL = 78

Step-by-step explanation:

We can solve these problems with the help of midsegment theorem.

Midsegment theorem:

"Segment joining midpoints of two sides of a triangle is parallel and half the measure of third side of the triangle"

Question 5

8x - 23 = \frac{1}{2}(10x+44)

8x - 23 = 5x + 22

8x - 5x = 22 + 23

3x = 45

x = 15

Therefore, x = 15 is the answer.

Question 7

Since, MN is the midsegment,

MN = \frac{1}{2}(JL)

5x - 16 = \frac{1}{2}(4x+34)

5x - 16 = 2x + 17

5x - 2x = 17 + 16

3x = 33

x = 11

Therefore, Length of JL = 4(11) + 34

                                        = 44 + 34

                                        = 78 units

5 0
3 years ago
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