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3 years ago

Find a complex number a+ ????????????????, with aand ???????? positive real numbers, such that (a+ ????????????????)3 = i.

Mathematics

1 answer:

stepan [7]3 years ago

6 0

Answer:

The complex number is 0+i/3.

Step-by-step explanation:

Let the imaginary part be x.

The complex number will be a+xi

Given:

real part =a

(a+xi)*3=i...............(i)

To find:

imaginary part

Solution:

3a + 3xi=i.............(ii)

Comparing real and imaginary parts of eq(ii).

3a=0 and 3x=1

a=0

x=1/3.

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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.

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

Upon substituting our given values, we will get:

$\text{Loss settlement}=\frac{\$50,000\times\$101,250}{\$180,000\times 75\%}$

$\text{Loss settlement}=\frac{\$50,000\times\$101,250}{\$180,000\times 0.75}$

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Therefore, they will receive $37,500 from insurance.

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2 years ago

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