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asambeis [7]
3 years ago
9

Simplify: (10 – 149 + 1)^2

Mathematics
1 answer:
Elis [28]3 years ago
4 0

Answer:  19044

Step-by-step explanation:

1st. Calculate  the expression in the brackets:

10-149+1=-138

2nd.  Calculate (-138)^2=19044

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Shawna invests $5,048 in a savings account with a fixed annual interest rate of 4% compounded 12 times per year. How long will i
Elena-2011 [213]

Answer:

5 years

Step-by-step explanation:

In the question we are given;

  • Amount invested or principal amount as $5048
  • Rate of interest as 4% compounded 12 times per year
  • Amount accrued as $6,163.59

We are required to determine the time taken for the money invested to accrue to the given amount;

Using compound interest formula;

A=P(1+\frac{r}{100})^n

where n is the interest period and r is the rate of interest, in this case, 4/12%(0.33%)

Therefore;

6,163.59=5,048(1+\frac{0.333}{100})^n

1.221=(1+\frac{0.333}{100})^n

1.221=(1.0033)^n

introducing logarithms on both sides;

log1.221=log(1.0033)^n\\n=\frac{log1.221}{log1.0033} \\n=60.61

But, 1 year = 12 interest periods

Therefore;

Number of years = 60.61 ÷ 12

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Therefore, it will take 5 years for the invested amount to accrue to $6163.59

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60 = 6g
6 6
10 = g

P = 10-6
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T = 4(4)
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2 years ago
Alexander is building a rectangular pen in his backyard for his dog. The pen will have a length of 13 feet and a width of 2x fee
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4x+26

Step-by-step explanation:

to buy fencing, you need to find the perimeter of the pen. The perimeter is found by adding all sides together.

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