Given that the method of revenue calculation is straight line method, the equation modeling this will be given by:
y=mx+c
where:
m=slope
x=time
c=initial value.
from our question:
slope,m=$7000
time=T
y(x)=R(t)
hence the formula after the sixth month will be:
R(t)=7000T+45000
We can use the interest formula:
Let i = interest.
Let p = principal
Let r = interest rate
Let t = time.
I = p × r × t. Plug in our numbers
6.5% = 0.065
I = $4,000 × 0.065 × 3 = $780.
He will pay $780 in interest after 3 years.
No y=mx+b your missing the b in the formula which stands for y intercept
Let x represent the number of liters of 50% acid Theresa puts into the mix. The the number of liters of 30% acid will be (420-x). The total amount of acid in the final solution will be ...
0.50x + 0.30(420-x) = 0.45(420)
0.20x + 126 = 189 . . . . . . . . . . . . . . . simplify
0.20x = 63 . . . . . . . . . . . . . . . . . . . . . subtract 126
x = 63/0.20 = 315 . . . . . . . . . . . . . . . liters of 50% solution
(420-x) = 420-315 = 105 . . . . . . . . . liters of 30% solution
Theresa should mix ...
105 liters of 30% solution
315 liters of 50% solution
10/10 you look pretty! Anyone looks pretty have a wonderful day!
