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3 years ago

Simplify the answer

Mathematics

1 answer:

Andru [333]3 years ago

8 0

Answer:

- 20 + 8i

Step-by-step explanation:

Noting that i² = - 1

Given

[(6i + 9) + (4i - 5)] × 2i ← evaluate the terms inside the square bracket

= ( 6i + 9 + 4i - 5 ) × 2i

= (10i + 4) × 2i ← multiply each term in the parenthesis by 2i

= 20i² + 8i

= 20(- 1) + 8i

= - 20 + 8i

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An octagon has side length 10.9 in. The perimeter of the octagon is 87.2 in cm and the area is 392.4 in2. A second octagon has c

Lana71 [14]

If the figures/solids are similar, the ratio of the areas is equal to the square of the ratio of the corresponding sides. Let x be the area of the second figure. The equation that would best allow us to answer this item is,
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3 years ago

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5000 12% compounded quarterly compound interest table find earned after 5 years

kolezko [41]

<h3>Amount earned after 5 years is $ 9030.5561</h3>

Solution:

The formula for compound interest, including principal sum, is:

$A = p(1+\frac{r}{n})^{nt}$

A = the future value of the investment including interest

P = the principal investment amount

r = the annual interest rate in decimal

n = the number of times that interest is compounded per unit t

t = the time the money is invested

From given,

p = 5000

t = 5 years

$r = 12 \% = \frac{12}{100} = 0.12$

n = 4 ( since interest is compounded quarterly )

Substituting the values we get,

$A = 5000(1+\frac{0.12}{4})^{4 \times 5}\\\\A = 5000(1+0.03)^{20}\\\\A = 5000 \times 1.03^{20}\\\\A = 5000 \times 1.806111\\\\A = 9030.5561$

Thus amount earned after 5 years is $ 9030.5561

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2 years ago

A house worth $180,000 has a coinsurance clause of 75 percent. The owners insure the property for $101,250. They then have a los

Bess [88]

Answer:

$37,500

Step-by-step explanation:

We have been given that a house worth $180,000 has a coinsurance clause of 75 percent. The owners insure the property for $101,250. They then have a loss that results in a $50,000 claim.

We will use loss settlement formula to solve our given problem.

$\text{Loss settlement}=\frac{\text{Loss}\times\text{Limit of insurance}}{\text{Actual cash value}\times \text{Coinsurance}\%}$