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Ostrovityanka [42]
3 years ago
14

If $650 is invested in a bank account that earns a nominal 2.5% yearly interest, compounded quarterly, then how much is the inve

stment worth after 10 years
Mathematics
1 answer:
KengaRu [80]3 years ago
3 0

Answer:

\$833.97  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=10\ years\\ P=\$650\\ r=2.5\%=2.5/100=0.025\\n=4  

substitute in the formula above

A=650(1+\frac{0.025}{4})^{4*10}  

A=650(1.00625)^{40}  

A=\$833.97  

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The expression in scientific notation is given as follows:

3.5 x 10³.

<h3>What is scientific notation?</h3>

A number in scientific notation is given by:

a \times 10^b

With the base being a \in [1, 10).

For this problem, the expression is given by:

\frac{5 \times 10^2 \times 4.2 \times 10^4}{6 \times 10^3}

When two factors of a multiplication have the same base and different exponent, we <u>keep the base and add the exponents,</u> hence:

10^2 \times 10^4 = 10^6

5 x 4.2 = 21, hence the expression is:

\frac{5 \times 10^2 \times 4.2 \times 10^4}{6 \times 10^3} = \frac{21 \times 10^6}{6 \times 10^3}

When we divide two terms with the same base and different exponents, we keep the base and subtract the exponents, hence:

\frac{21 \times 10^6}{6 \times 10^3} = 3.5 \times 10^3

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More can be learned about scientific notation at brainly.com/question/16394306

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6 0
1 year ago
What is the sum of 2/11’ 2/7’ and 1/11’?
pav-90 [236]
Solution

To solve this addition of fractions we are gonna apply the fraction rule which is;

a/c + b/c = (a + b)/c

2/11 + 1/11 = (2 + 1)/11


= (2 + 1)/11 + 2/7

Now add the numerators 2 + 1

= (2 + 1)/11 + 2/7

= 3/11 + 2/7

Now we find the least common multiple

The least common multiple of 11 and 7 is 77.

But before that we cross multiply the numerators.

3 * 7 = 21
2 * 11 = 22

Now the ajustes fraction is;

21/77 + 22/77


Apply the fraction rule which is;

a/c + b/c = (a + b)/c

= (21 + 22)/77

Now we add the numerators.

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3 years ago
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ivann1987 [24]
Since this is a right triangle and we have an angle and a side we can solve for any other side by using sohcahtoa. Now lets look at what we know we have the angle 35 degrees and the side adjacent to the angle is 10. we are looking for the side opposite to the angle. so we need a formula that uses opposite and adjacent that is toa, tan(angle)=oppisite/adjacent
now lets plug in tan(35)=x/10
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3 years ago
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Answer:

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2 years ago
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Answer:

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x = - 11

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3 years ago
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