Answer:
There were total 2900 seats in the theater.
Step-by-step explanation:
Given that:
Seats filled by students = 1247 seats
Vacant seats = 57%
Total percentage of seats = 100%
Percentage of seats filled by students = (100-57)%
Percentage of seats filled by students = 43%
Let,
x be the total number of seats.
43% of x = 1247
Dividing both sides by 0.43
Hence,
There were total 2900 seats in the theater.
Answer: The interest is: " $ 64 .00 " .
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Step-by-step explanation:
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Take note of the formula:
" Ⅰ = Prt " ;
→ that is:
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→ " Ⅰ = P * r * t " ;
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In which:
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" Ⅰ = the interest " ;
" P = the Principal amount of money " ;
" r = rate " (expressed as the "decimal form" of the percentage) ;
" t = time " (in years) ;
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We are given:
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P = $400 ;
r = 0.08 ;
{<u>Note of interest</u>: That is " 8% " ; since "8 % " = "(8/100)" ;
= "(8 ÷ 100)"
= " 0.08 ".}.
t = 2 ; {that would represent: " 2 (two) years".}.
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We are to solve for "Ⅰ" ; the amount of "Ⅰnterest" :
→ To solve for "Ⅰ " ; we plug in our given values; and calculate:
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→ Ⅰ = P * r * t ;
= 400 * 0.08 * 2 ;
= 64 .
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→ Ⅰ = $ 64.00 .
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Hope this is helpful to you!
Best wishes!
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X is equal to 100 and Y is equal to 16
Answer:
Part 1: 25 feet long
Part 2: 8 feet high
Step-by-step explanation:
A^2 +B^2 =C^2
C is the hypotenuse which you are finding for part 1.
You are finding B for part 2.
Part 1:
15^2 + 20^2 = C^2
225+400=C^2
625=C^2
Sqrt(625)= C
25=C
Answer for Part 1 is 25 feet long.
Part 2:
6^2 + B^2 = 10^2
36 + B^2 = 100
Subtract 36 from both sides.
B^2 = 64
B= sqrt(64)
B= 8
Answer for Part 2: 8 feet high
4x - 9 = 2x
Solve for x.
4x = 2x + 9
2x = 9
x = 4.5
We can plug 4.5 into the original equation to verify if it's correct.
4x - 9 = 2x
4(4.5) - 9 = 2(4.5)
18 - 9 = 9
The equation is true, and so x = 4.5