The answer is y = 35x + 20.
In order to find this, start with two ordered pairs. For the purpose of this problem, we'll use (1, 55) and (2, 90). Now we use the slope formula to find the value next to x in the equation.
m(slope) = (y2 - y1)/(x2-x1)
In this equation (x1, y1) is the first ordered pair and (x2, y2) is the second. Plug in to the equation and solve.
m = (90 - 55)/(2 - 1)
m = 35/1
m = 35
Now that we have the slope, plug that into the equation along with either point to find the intercept (the last number).
y = mx + b
55 = 35(1) + b
55 = 35 + b
20 = b
Now that we have the slope and intercept, we can use each to fill in those blanks.
y = 35x + 20
Convert -6 1/8 to an improper fraction: -49/8
7(-49/8) = -343/8 = -42.875 = -42 7/8
(4x-6)/3=8
4x-6=24
4x=30
x=7.5 or x=30/4
Answer:
1) 18a^11
2) 7b^5
3) 16c^12
4) 3/2d^2
Step-by-step explanation:
i hope this helped
Answer:
43.407 years
Step-by-step explanation:
Zoe invest $600 in college savings account. The account earns 5.7% interest compounded quarterly. How many years will it take for Zoe's account to reach $7,000?
We are asked to find time t in a compound interest formula
The formula is given as:
t = log(A/P) / n[log(1 + r/n)]
A = Total amount = $7000
P = Principal = $600
n = number of times interest is compounded = Quarterly =4
r = Interest rate = 5.7% = 0.057
Hence,
t = log(7000/600) /4[log (1 + 0.057/4)]
t = 43.407 years
