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HACTEHA [7]
3 years ago
9

The Henley's took out a loan for $195,000 to purchase a home. At a 4.3% interest rate

Mathematics
1 answer:
ella [17]3 years ago
6 0

Interest paid after 30 years is $494,546.99.

Solution:

Principal (P) = $195,000

Interest rate (r) = 4.3%

Time (t) = 30 years

n = number of times interest calculated per year

n = 1

Compound interest formula:

$A=P\left(1+\frac{r}{n}\right)^{n t}

where A is the final amount

$A=195000\left(1+\frac{4.3\%}{1}\right)^{1\times 30}

$A=195000\left(1+\frac{4.3}{100}\right)^{30}

$A=195000\left(\frac{100+4.3}{100}\right)^{30}

$A=195000\left(\frac{104.3}{100}\right)^{30}

A = 689546.99

Interest = Amount  - Principal

             = 689546.99 - 195000

             = 494546.99

Interest paid after 30 years is $494,546.99.

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2 years ago
A 15 ounce alloy containing 30% gold was mixed with an alloy containing 5% gold to get an alloy containing 20% gold. How many ou
Studentka2010 [4]

Answer:

4.5 % alloy

Step-by-step explanation:

Let x = amt of 30% alloy

The resulting total is to be 25 oz, therefore:

(25-x) = amt of 5% alloy:

A typical mixture equation:

.30x + .05(25-x) = .20(25)

.30x + 1.25 - .05x = 5 .30x - .05x = 5 - 1.25

.25x = 3.75

x = 3.75%2F.25

x = 15 oz of 30% alloy required

then

25-15 = 10 oz of 5% alloy:

Check solution

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4 0
2 years ago
The question is evaluate x÷1.2 for each value of x         x=40.8
Aleks [24]
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4 0
3 years ago
There are five sales agents in a certain real estate office. One month Andy sold twice as many properties as Ellen, Bob sold 3 m
Novosadov [1.4K]

Answer:

Carry

Step-by-step explanation:

Here let’s take any arbitrary value for the number of properties sold by Ellen.

Let the number of properties sold by Ellen he 10. We were told Andy sold twice of this, this means he sold 20 properties

Bob sold 3 more than Ellen, meaning he sold 13.

Carry sold twice of Bob meaning he sold 26

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3 years ago
Find the geometric mean of the pair of numbers. Give your answer in simplest radical form.
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9514 1404 393

Answer:

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Step-by-step explanation:

The geometric mean of two numbers is the square root of their product.

  m = √(20×25) = √500 = √100 × √5

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The geometric mean of 20 and 25 is 10√5.

6 0
2 years ago
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