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3 years ago

____________ is the amount of a $3000.00 annuity due at 12 percent compounded semiannually for 3 years.

1 answer:

5 0

Base on my calculations, the answer is not in the choices given. First, we have to acknowledge that the interest rate given is not the effective interest rate instead it is called the nominal interest rate therefore we have to convert it first to an effective interest rate. We use the following formula:
Effective Interest rate = [[1 + (r/m)]^m] - 1 where r is the nominal interest rate and m is the number of compounding times
For this case, m is equal to 2 since it is compounded semianually.
Effective Interest rate = [[1 + (.12/2)]^2] - 1 = .1236
We then use the calculated effective interest rate to the formula for the Compound Interest Rate Formula.
Future Value = Present Value (1 + Effective interest rate)^(no. of years)Future Value = 3000 (1 + .1236)^( 3) = 4255.56 dollars

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A circular trampoline has a radius of 8 feet. Wendy wants to buy a cover for the trampoline. What will be the area of the cover

padilas [110]

Answer:

Option (3)

Step-by-step explanation:

Area of a circle is given by the formula,

Area = πr²

Here, r = radius of the circle

Since, radius of the circular trampoline = 8 feet

Area of the cover required for the circular trampoline = π(8)²

= 64π square feet

Therefore, Option (3) will be the answer.

3 0

3 years ago

A certain firm has plants A, B, and C producing respectively 35%, 15%, and 50% of the total output. The probabilities of a non-d

Sliva [168]

Answer:

There is a 44.12% probability that the defective product came from C.

Step-by-step explanation:

This can be formulated as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

$P = \frac{P(B).P(A/B)}{P(A)}$

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

-In your problem, we have:

P(A) is the probability of the customer receiving a defective product. For this probability, we have:

$P(A) = P_{1} + P_{2} + P_{3}$

In which $P_{1}$ is the probability that the defective product was chosen from plant A(we have to consider the probability of plant A being chosen). So:

$P_{1} = 0.35*0.25 = 0.0875$

$P_{2}$ is the probability that the defective product was chosen from plant B(we have to consider the probability of plant B being chosen). So:

$P_{2} = 0.15*0.05 = 0.0075$

$P_{3}$ is the probability that the defective product was chosen from plant B(we have to consider the probability of plant B being chosen). So:

$P_{3} = 0.50*0.15 = 0.075$

$P(A) = 0.0875 + 0.0075 + 0.075 = 0.17$

P(B) is the probability the product chosen being C, that is 50% = 0.5.

P(A/B) is the probability of the product being defective, knowing that the plant chosen was C. So P(A/B) = 0.15.

So, the probability that the defective piece came from C is:

$P = \frac{0.5*0.15}{0.17} = 0.4412$

There is a 44.12% probability that the defective product came from C.

3 0

4 years ago

The length of the shadow on flat ground of a man who is 6 feet tall and is standing up straight is 8 feet. The distance between

WARRIOR [948]

The answer is 10 ft. make a triangle 6ft tall, 8ft long (90 degrees to the other line) and draw a line to complete the triangle. This is a type of 3,4,5 triangle, a 6,8,10. The other way to do it is sqrt(6^2+8^2) = sqrt(36+64) = sqrt (100) = 10.

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4 years ago

A wireless phone company determines that 12 out of every 350 Model A phones are returned because of a defective screen. If the c

Len [333]

I think it would be 66

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3 years ago

Can someone please help me with this?

Art [367]

Answer:

1. $0.34

2. .8

Step-by-step explanation:

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3 years ago

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