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erastovalidia [21]
3 years ago
7

Suppose you invest $3,500 in a savings account that earns 7% Interest, compounded

Mathematics
1 answer:
prohojiy [21]3 years ago
8 0

Given:

Principal = $3,500

Rate of interest = 7% compounded quarterly (4 times in an year)

Time = 6 years

To find:

The amount.

Solution:

The formula for the amount is

A=P\left(1+\dfrac{r}{n}\right)^{nt}

Where, P is principal, r is rate of interest, n is number of times interest compounded in an year and t is number of years.

Putting P=3500, r=0.07, n=4 and t=6 in the above formula, we get

A=3500\left(1+\dfrac{0.07}{4}\right)^{(4)(6)}

A=3500\left(1+0.0175\right)^{24}

A=3500\left(1.0175\right)^{24}

A=5307.54975

A\approx 5307.55

Therefore, the amount after 6 years is $5307.55.

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25. a 2018 pew research center survey found that more americans believe they could give up their televisions than could give up
geniusboy [140]

(a)Probability that a person could give up cell phone = 0.48

(b)Probability that a person who could give up her cell phone also could give up television is 0.65

(c) Probability that a person who could not give up a cell phone could give up television is 0.73

What is Probability?

Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability. We can determine everything from the likelihood of receiving heads or tails when tossing a coin to the likelihood of making a research blunder, for instance, using a probability. It is crucial to grasp this branch's most fundamental concepts in order to fully comprehend it, including the formula for computing probabilities in equiprobable sample spaces, the likelihood of two events joining together, the probability of the complementary event, etc.

According to  the given question:

a. Probability that a person could give up cell phone = 0.48

b. Probability that a person who could give up her cell phone also could give up television

= P(give up cell phone and TV)/p(give up cell phone)

= 0.31/0.48

= 0.6458

= 0.65

c. Probability that a person who could not give up a cell phone could give up television is

= P(could not give up cellphone and could give up TV)/P(could not give up cell phone)

= 0.38/0.52

= 0.73

d. The probability a person could give up television is higher for persons who couldn't give up cell phones than for those who could give up their cell phones.

Hence,

(a)Probability that a person could give up cell phone = 0.48

(b)Probability that a person who could give up her cell phone also could give up television is 0.65

(c) Probability that a person who could not give up a cell phone could give up television is 0.73

To learn more about Probability, visit:

brainly.com/question/13604758

#SPJ4

5 0
1 year ago
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