Answer:
Height is approximately 30m
Step-by-step explanation:
Hope it helps you!!
Answer:
Step-by-step explanation:
For the first one, revenue - cost = profit. We have equations for revenue and profit, so filling in:
Let's add cost to both sides to make it positive and bring everything on the right over to the left and combine like terms:
For the second one:
P(x)*T(x) = 
Distribute the 3x into everything inside the parenthesis to get
For the second part of that problem, C(x)*P(x) = 
Distribute the x into everything first to get:
The distribute the -4 into everything to get:
Combine the like terms and put everything together to get
The answer is Y=11, X=-1
Here's my work:
x=-12+y
-6(-12+y)+2y=28
6*12= 72
72 -6y +2y=28 (now we combine like-terms)
72-4y=28 (now divide by -4)
-18+y=-7 (add 18 to both sides)
y=11
next part we find x:
x=-12+(11)
x=-1
Answer:
3x + 5.
Step-by-step explanation:
factor out 1/6 (1/2 • 1/3)
distribute the 3 from the paranthesis
1/6 (3(8x + 4) + 2(9-3x))
1/6(24x + 12 + 2(9-3x))
distribute 2 through parentheses
1/6(24x+12+18-6x)
collect like terms:
1/6(18x + 12 + 18) > 1/6(18x +30)
factor out 6
1/6 • 6(3x+5)
reduce with GCF (6)
3x + 5
Answer:
Step-by-step explanation:
In order to buy the new car, Nancy
paid $1,500 up front and took out a loan for the rest of the amount.
Let x = The amount of loan that she took.
The interest rate on the loan is 5%.
This means that she paid interest of 5/100 × x = 0.05 × x
= 0.05x
If the total cost of buying the car (including the interest Nancy owes) is more than $16,213.02,
It means that
1,500 + x + 0.05x is greater than 16,213.02
1500 + 1.05x = 16213.02
1.05x = 16,213.02 - 1500
1.05x = 114713.02
x = 114713.02/1.05
x = $109250 .49524
The amount that Nancy borrowed is greater than $109250 .49524
