Answer:
16
Step-by-step explanation:
180-164=16 do the answer is 16
Answer: Option C) Raj forgot the negative when substituting -15+9x for y.
Solution:
(1) 9x-y=15
(2) 2x+8y=28
Isolating y in the first equation. Subtracting 9x both sides of the equation:
(1) 9x-y-9x=15-9x
Subtracting:
(1) -y=15-9x
Multiplying both sides of the equation by -1:
(1) (-1)(-y)=(-1)(15-9x)
(1) y=-15+9x
Then Raj found the value of y. It's not option D.
Substitutng y by -15+9x in the second equation:
(2) 2x+8(-15+9x)=28
Then option C) is the answer: Raj forgot the negative when substituting -15+9x for y.
Eliminating the parentheses applying the distributive property in the multiplication:
(2) 2x-120+72x=28
Adding similar terms:
(2) 74x-120=28
Solving for x. Adding 120 both sides of the equation:
(2) 74x-120+120=28+120
Adding:
(2) 74x=148
Dividing both sides of the equation by 74:
(2) 74x/74=148/74
Dividing:
(2) x=2
Solving for y: Replacing x by 2 in the first equation:
(1) y=-15+9x
(1) y=-15+9(2)
Multiplying:
(1) y=-15+18
Subtracting:
(1) y=3
Answer:
C. 18
Step-by-step explanation:
We can find the numbers of payments using following formula
PV = PMT(1- (1+r)^-n)/r
PVr / PMT = 1 - (1+r)^-n
Where
PV = present value = $1,100
PMT = monthly payments = $71.50
r = interest rate = 19.2% / 12 = 1.6%
n = numbers of month = ?
Placing values in the formula
(1+r)^-n = 1 - PVr /PMT
1.016^-n = 1-1100 x 0.016/71.50
1.016^-n = 0.753846154
-n x log 1.016 = log 0.753846154
n = - log 0.753846154 /log 1.016
n = 17.8
n = 18 payments
Answer: Derrick wants an air conditioner in his living room. It is a rectangular room that measures 13 feet by 15 feet. The room is well insulated and is on the east side of the house. It has an 8-foot-high ceiling. How large of an air conditioner would this room require? Round to the nearest thousand BTUs, hope this helped :)
Step-by-step explanation:
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