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seraphim [82]
3 years ago
12

Rename 5/6 and 14/15 using the least common denominator.

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
8 0

Answer:

25/30 and 28/30

Step-by-step explanation:

1. To find the least common denominator, you need to find the least common multiple of the two denominators which are 6 and 15. Prime factorization of these numbers gives:

6 = 2 x 3

15 = 5 x 3

A number that would evenly divide both 6 and 15 must contain 2 x 3 x 5 which is 30.

Thus 30 is the least common denominator.

2. Now we need to somehow change both fractions to make them have a denominator of 30. To do this we can multiply by fractions with same numerator and denominator since that would be like multiplying by 1.

So, 5/6 x 5/5 = 25/30

And 14/15 x 2/2 = 28/30

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Answer:
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Step-by-step explanation:
The answer is 6580cm because....
Step one First let's figure out what the smaller shape's volume is. To do so we need to multiply ( LxWxH ) so 6x5x? it does not list what the height is so we know it has the same height as the larger shape and it's height is 14cm so we will use 14cm. 6x5x14=420cm
Step two Now lets find the Volume of the larger shape. So lets do LxWxH so Lx?x14 it does not give us the length so we need to add up all of the numbers along the line. We got 7cm then 5 from the bottom of the smaller shape and 10cm. all ads up to 22cm so 20x22x14=6160
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3 0
3 years ago
Tori took out A $350,000 loan in order to purchase a house. She has to pay an interest of 5.2% over 35 years. how much interest
Dmitrij [34]

Hello from MrBillDoesMath!


Answer:

Interest paid = $ 1,713,568.73

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Discussion:

From the "compound interest formula:

A = final amount

P = Initial amount (Principal)

r = yearly interest rate

n = number of years of accumulation.


In our case,

A = 350000( 1 + .052)^35 =

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      $2,063,568.73

Interest =  $2,063,568.73 - 350000 =  $ 1,713,568.73


There are 35 *12 = 420 months in 35 years. So the monthly payment would be   ($2,063,568.73 / 420)  = $4913.25



Thank you,

MrB

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