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3 years ago

A number (n) is equal to 60 decreased by 3 times the number. what is the value of n?

Mathematics

1 answer:

scoray [572]3 years ago

3 0

$n = 60 - 3n \\ 4n = 60 \\ n = 15$

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2. A bank representative studies compound interest, so she can better serve

Kaylis [27]

Answer:

Step-by-step explanation:

Given that a bank representative studies compound interest, so she can better serve customers. She analyzes what happens when $2,000 earns interest several different ways at a rate of 2% for 3 years.

a) the interest if it is computed using simple interest. 12.00

= $\frac{2000(3)(12)}{100} \\=720$ dollars

b) the interest if it is compounded annually.

= $2000(1.12)^3-2000\\= 809.86$ dollars

c) the interest if it is compounded semiannually

= $2000(1.06)^6 -2000\\= 837.04$

d) the interest if it is compounded quarterly.

= $2000(1.03)^12 -2000\\= 851.52$

e) the interest if it is compounded monthly.

= $2000(1.01)^24 -2000\\= 861.54$

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3 years ago

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Shtirlitz [24]

The answer would be C. the third one

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3 years ago

Two life insurance policies, each with a death benefit of 10,000 and a one-time premium of 500, are sold to a couple, one for ea

Kazeer [188]

Answer:896.9

Step-by-step explanation:

Let x denotes excess premium over claims

$E\left ( x|husband survives\right )$ , There are two possibilities

(i)Only husband survives

This can be possible with a possibility of 0.01

Claims=10,000

Premium collected $=2\times 500=1000$

Thus x=1000-10,000=-9000

(ii)Both husband and wife survives

This can occur with a probability of 0.96

Here claims will be 0 as both survives

Premium taken=1000

thus x=1000

The probability that the husband survives is the sum of above cases

=0.96+0.01=0.97

Hence the desired conditional Expectation $E\left ( x|Husband survives\right ) =0.01\times \left ( -9000\right )+0.96\times \left ( 1000\right )=896.9$