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ddd [48]
2 years ago
15

3) Which property is used in the following: 4 x (5 + 7) = 4 x 5 + 4x7

Mathematics
1 answer:
earnstyle [38]2 years ago
3 0

Answer:

3) D

4) B

5) A

6) 2 (x + 7)

Step-by-step explanation:

3)  

D. Distributive Property

The distributive property of multiplication over addition can be used when you multiply a number by a sum.

4)

B. 2 + 8 = 8 + 2

The word "commutative" comes from "commute" or "move around", so the Commutative Property is the one that refers to moving stuff around.

5)

A. 4 x 1 = 4

The "Multiplicative Identity" is 1, because multiplying a number by 1 leaves it unchanged: a × 1 = 1 × a = a.

6)

3 ( x + 3) - X + 5

3x + 9 - x + 5

2x + 14

2 (x + 7)

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

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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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