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Phantasy [73]
3 years ago
14

You have found a home that you are interested in purchasing. Instead of a conventional loan, you agree to pay the premium for th

e private mortgage insurance (PMI), which finances 95% of the loan. The amount of the home is listed at $125,000. From the given information, determine the amount needed for the down payment to qualify for the PMI loan.
a.
$6,250
c.
$625
b.
$118,750
d.
$62,500
Mathematics
1 answer:
hodyreva [135]3 years ago
5 0

Answer:

a.

$6,250

Step-by-step explanation:

Finances 95% of the loan.

So you have to pay 100% - 95% = 5% of the loan.

The amount of the home is listed at $125,000.

You have to pay 5% of this. So

0.05*125000 = $6,250

The answer is given by option A.

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A student had 500 milliliters of water in a water bottle. She drank 25% of the water before soccer practice. After practice, she
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A student had 500 milliliters of water in a water bottle. She drank 25% of the water before soccer practice. After practice, she drank 1/3 of the remaining water.

​How much water, in milliliters, does the student have left in the bottle?

Answer:

the amount of water the student have left in the bottle is 250 milliliters

Step-by-step explanation:

A student had 500 milliliters of water in a water bottle. She drank 25% of the water before soccer practice. After practice, she drank 1/3 of the remaining water.

​How much water, in milliliters, does the student have left in the bottle?

Before the soccer practice, she drank 25 % of the water

25% of the water = 25% of 500

                             = 25% × 500

                              =\frac{25}{100} ×  500

At the right hand-side of the equation, the two zeros will cancel-out the other two zeros, hence;

                                = 25 × 5

                                 =125

25% of the water = 125 milliliters

From the question, it was said that drank 25% of the water before soccer, this implies that she drank 125 milliliters from the water bottles.

If she drank 125 milliliters of  from a 500 milliliters water contain in the water bottle, then the amount of water left will be 500 ml - 125 ml = 375 ml

This implies that before the soccer practice she had 375 milliliters of water left in the water bottle.

After the practice, she drank 1/3 of the remaining water, which means after the practice she drank 1/3 of 375

1/3 of 375 = \frac{1}{3} × 375 = \frac{375}{3} = 125

After the practice she drank 125 milliliters of water from her 375 milliliters water.

The amount of water she have left after the practice will be;

375 milliliters - 125 milliliters = 250 milliliters

Therefore, the amount of water the student have left in the bottle is 250 milliliters

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