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Stels [109]
3 years ago
7

HELP ASAP!

Mathematics
1 answer:
sveta [45]3 years ago
4 0
Area of rectangle = 36 x 20 = 720 ft^2

Perimeter of rectangle = 2(36 + 20) = 112 ft

Area of semi-circle = 1/2πr^2 (r = 18/2 = 9, using π = 3.14<span>)
= 1/2 x 3.14 x 9^2
= 142.87 ft^2

</span>Perimeter of semi-circle = πd = 3.14 x 18 = 56.52 ft

<span>(a) What is the total area of the swimming pool? Explain your reasoning.
</span>
area of the swimming pool = area of rectangle - area of semi-circle
area of the swimming pool = 720 ft^2 - 142.87 ft^2 = 577.13 ft^2

answer:
area of the swimming pool = 577.13 ft^2

--------------------------------------------------------------------------
<span>(b) What is the perimeter of the swimming pool? Explain your reasoning.
</span>perimeter of the swimming pool = perimeter of rectangle - perimeter of semi-circle
perimeter of the swimming pool = 112 ft - 56.52 ft = 55.48 ft

answer
perimeter of the swimming pool = 55.48 ft
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30 out of 600=____ %
sasho [114]
<h2>5%</h2>

Step-by-step explanation:

let % be X

30 = x% of 600

30 = x × 600 / 100

x = 30 × 100 /60

x = 5

follow me

3 0
3 years ago
Find the future value of an annuity due of $400 each quarter for 4 1 2 years at 13%, compounded quarterly. (Round your answer to
Flura [38]

Answer:

$9891.23


Step-by-step explanation:

The formula for future value of annuity due is:

FV=P[\frac{(1+r)^{n}-1}{r}]*(1+r)

Where,

  • FV is the future value of the annuity (what we need to find)
  • P is the periodic payment (here it is $400)
  • r is the interest rate per period (here 13% yearly interest is actually \frac{13}{4}=3.25 percent per period(quarter))
  • n is the number of periods (here the annuity is for 4\frac{1}{2} years, which is 4\frac{1}{2}*4=18 periods, since quarterly and there are 4 quarters in 1 year)

Substituting all those values in the equation we get:

FV=400[\frac{(1+0.0325)^{18}-1}{0.0325}]*(1+0.0325)\\=400[23.9497]*(1.0325)\\=9891.23

Hence, the future value of the annuity due is $9891.23

3 0
4 years ago
A small juice company spends $1200 per day on business expenses plus $1.10 per bottle of juice them make. They charge $2.50 for
Greeley [361]
Cost price per bottle of juice = $1.10 
Selling price per bottle of juice = $2.50 
Profit per bottle of juice = $2.50 - $1.10 = $ 1.40 
Let B be the number of bottles needed to sell in one day in order to equal its daily costs. 
$1200 = $1.40B 
857.14285714285714 = B 
858 = B (round off to the nearest bottle) 

The company must sell 858 bottles of juice in one day in order to equal its daily cost. 

Hope this helps! =)


5 0
3 years ago
I NEED HELP ASAP IMPORTANT TEST I HAVE A LITTLE TO FINISH IT HELPPPPPPPPPPP
UkoKoshka [18]

THEYRE CORRESPONDING ANGLES :)

6 0
3 years ago
Whats the domain? someone pleaseee
ziro4ka [17]
-infinity, positive infinity
8 0
3 years ago
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