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Sliva [168]
3 years ago
5

Find the area of the irregular figure. Round your answer to the nearest hundredth if necessary.

Mathematics
1 answer:
Rudiy273 years ago
3 0

Answer:

Step-by-step explanation:

Area of the figure = Area of semicircle + area of rectangle

Area of semicircle:

d = 14 mm

r = 14/2 = 7 mm

Area = (1/2)πr²

=\frac{1}{2}*\frac{22}{7}*7*7\\

=11 *7

= 77 mm²

Area of rectangle:

length = 14 mm

Width = 10 mm

Area = length *width

       = 14 * 10

       = 140 mm²

Area of the figure = 77 + 140 = 217 mm²

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Lou has an account with $10,000 which pays 6% interest compounded annually. If to that account, Lou deposits $5,000 at the begin
katovenus [111]

Answer:

Option d. $22154 is the right answer.

Step-by-step explanation:

To solve this question we will use the formula A=P(1+\frac{r}{n})^{nt}

In this formula A = amount after time t

                        P = principal amount

                        r = rate of interest

                       n = number of times interest gets compounded in a year

                        t = time

Now Lou has principal amount on the starting of first year = 10000+5000 = $15000

So for one year A=15000(1+\frac{\frac{6}{100}}{1})^{1\times1}

= 15000(1+.06)^{1}

= 15000(1.06) = $15900

After one year Lou added $5000 in this amount and we have to calculate the final amount he got

Now principal amount becomes $15900 + $ 5000 = $20900

Then putting the values again in the formula

A=20900(1+\frac{\frac{6}{100}}{1})^{1\times1}

= 20900(1+.06)^{1}

= 20900(1.06)=22154

So the final amount will be $22154.

3 0
3 years ago
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