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svet-max [94.6K]
2 years ago
13

Sophia puts $250 in the bank with a 2.5% annual interest rate compounded monthly. If Sophia does not touch his money, how much m

oney will she have after four years? A) $260.00 B) $275.00 C) $275.95 D) $276.26
Mathematics
1 answer:
Fittoniya [83]2 years ago
7 0

Answer:

<h3> D) $276.26</h3>

Step-by-step explanation:

Deposited amount initially (P) = $250.

Rate of interest(r) = 2.5% compounded monthly = 0.025

Number of years (t) = 4.

Number of months in an year (n) = 12.

Formula for compound interest:

A=P(1+\frac{r}{n})^{nt}.

Plugging values in formula, we get

A= 250(1+\frac{0.025}{12})^{12\times 4}

A= 250(1.00208)^{48}

A= 250\times \:1.10506

A=276.26.

<h3>Therefore, correct option is  D) $276.26.</h3>
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Step-by-step explanation:

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How do you change 0.16666 in a fraction
Natasha_Volkova [10]
Here's how to convert 0.16666 to a fraction...

There is not much that can be done to figure out how to write 0.16666 as a fraction, except to literally use what the decimal portion of your number, the .16666, means.

Since there are 5 digits in 16666, the very last digit is the "100000th" decimal place.

So we can just say that .16666 is the same as 16666/100000.

The fraction 16666/100000 is not reduced to lowest terms. We can reduce this fraction to lowest
terms by dividing both the numerator and denominator by 2.

Why divide by 2? 2 is the Greatest Common Divisor (GCD)
or Greatest Common Factor (GCF) of the numbers 16666 and 100000.
So, this fraction reduced to lowest terms is 8333/50000

So your final answer is: 0.16666 can be written as the fraction 8333/50000

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Venn diagram ( attached image )
alexandr402 [8]

Assessing the given Venn diagram and the data related to it, we can answer the required question:

Q1. How many people were surveyed = 86.

Q2. What is the probability that a customer chosen at random:

a) takes salt P(S) = 46/85.

b) takes both salt and vinegar P(S ∩ V) = 13/85.

c) takes salt or vinegar or both P(S ∪ V) = 66/85.

The number of people who take salt chips n(S) = 46.

The number of people who take vinegar chips n(V) = 33.

The number of people who takes both n(S ∩ V) = 13.

The number of people who take neither n((S ∪ V)') = 19.

Therefore, the total number of people surveyed n(U) = n(S) + n(V) - n(S ∩ V) + n((S ∪ V)') = 46 + 33 - 13 + 19 = 85.

The number of people who takes salt or vinegar or both n(S ∪ V) = n(U) - n((S ∪ V)') = 85 - 19 = 66.

The probability that a customer chosen at random takes salt P(S) = n(S)/n(U) = 46/85.

The probability that a customer chosen at random takes both salt and vinegar P(S ∩ V) = n(S ∩ V)/n(U) = 13/85.

The probability that a customer chosen at random takes salt or vinegar or both P(S ∪ V) = n(S ∪ V)/n(U) = 66/85.

Learn more about Venn Diagrams at

brainly.com/question/24713052

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