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Oduvanchick [21]
2 years ago
11

You deposit a lump sum today that in 8 years from now will be worth $17000. If the deposit earns 4% compounded quarterly. What's

the present value of the investment?
Round your answer to two decimal places.

$
Mathematics
1 answer:
Sophie [7]2 years ago
6 0
Using the compound interest formula,

A = P(1+r)^n

A = 17000

r = 4% quarterly

n = 8yrs = 32 quarters of a year

P = ?

17000 = P(1+4%)^32

P = $[17000/((1+4%)^32)]

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A particular telephone number is used to receive both voice calls and fax messages. suppose that 20% of the incoming calls invol
Phoenix [80]

Answer:

0.1091 or 10.91%

Step-by-step explanation:    

We have been given that a particular telephone number is used to receive both voice calls and fax messages. suppose that 20% of the incoming calls involve fax messages and consider a sample of 20 calls. We are asked to find the probability that exactly 6 of the calls involve a fax message.  

We will use Bernoulli's trials to solve our given problem.

P(X=x)=^nC_x\cdot P^x(1-P)^{n-x}

P(X=6)=^{20}C_6\cdot (0.20)^6(1-0.20)^{20-6}

P(X=6)=\frac{20!}{6!(20-6)!}\cdot (0.20)^6(0.80)^{14}

P(X=6)=\frac{20!}{6!(14)!}\cdot (0.000064)(0.04398046511104)

P(X=6)=38760\cdot (0.000064)(0.04398046511104)

P(X=6)=0.1090997009730

P(X=6)\approx 0.1091\\

Therefore, the probability that exactly 6 of the calls involve a fax message would be approximately 0.1091 or 10.91%.

4 0
3 years ago
At the craft store, Mark bought a bag of blue and brown marbles. The bag contained 20 marbles, and 30% of them were blue. How ma
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Answer:

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Step-by-step explanation:

20 marbles * .30 are blue = blue marbles

20 * .30 = 6 blue marbles

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Which point is a solution to the system graphed below?
azamat

Answer:

b. (-3, -2)

explanation:

it's the only point inside the colored area.

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3 years ago
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,m

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