Answer:
A) R = 1900 -24t
B) 1684 billion barrels
C) 79.17 years
Step-by-step explanation:
<h3>A)</h3>
Reserves start at 1900 billion barrels and decrease by 24 billion barrels each year. The value for t=0 is 1900; the value for t=1 is 24 less.
R = 1900 -24t
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<h3>B)</h3>
For t=9, the reserves will be ...
R = 1900 -24(9) = 1900 -216 = 1684 . . . . billion barrels
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<h3>C)</h3>
The reserve will be 0 when ...
0 = 1900 -24t
24t = 1900 . . . . . add 24t
t ≈ 79.17 . . . . divide by 24
Reserves will be gone in about 79.17 years.
Let P = number of coins of pennies (1 penny = 1 cent)
Let N = number of coins of nickels (1 nickel = 5 cents)
Let D = number of coins of dimes (1 dime = 10 cents)
Let Q = number of coins of quarters (1 quarter = 25 cents)
a) P + N + D + Q = 284 coins, but P = 173 coins, then:
173 + N + D + Q =284 coins
(1) N + D + Q = 111 coins
b) D = N + 5 OR D - N =5 coins
(2) D - N = 5 coins
c) Let's find the VALUE in CENTS of (1) that is N + D + Q = 111 coins
5N + 10D + 25 Q = 2,278 - 173 (1 PENNY)
(3) 5N + 10D + 25Q = 2105 cents
Now we have 3 equation with 3 variables:
(1) N + D + Q = 111 coins
(2) D - N = 5 coins
(3) 5N + 10D + 25Q = 2105 cents
Solving it gives:
17 coins N ( x 5 = 85 cents)
22 coins D ( x 10 = 220 cents)
72 coins D ( x 25 = 1,800 cents)
and 173 P,
proof:
that makes a total of 85+2201800+172 =2,278 c or $22.78
Step-by-step explanation:
Area of shaded =Area of Outer rectangle - Area of Inner rectangle.
Area of inner rectangle = L× B.
L=18
B=11
Area of inner rectangle = 18×11
=198m^2
To find the full breadth of the outer rectangle
=2 in +11 + 2 in
=15
To find the full length of the outer rectangle
=2 in + 18 + 2 in
=22
Area= 22 × 15
Area = 330m^2
Area of shaded portion = 330 - 198
=132m^2
Answer: $284.80
look when you are trying to find the percent of a number you need to turn the percent into a decimal then multiply the decimal by the number:
1st. 40% as a decimal is 0.40 because as a fraction 40% is 40/100 so that means that 1.00 is 100 and 0.40 is 40%
2nd. Next, you do 0.40 x 712.00 = or
712.00
x 0.40
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$284.80