The formula for the future value of the account is
A = P(1 + r/n)^(nt)
where you have
A = 19909.20
P = 8975
r = 0.038
t = 21
The resulting equation is not one that can be solved by algebraic means, but we can use a graphing calculator to find n. This graph shows us n = 12, so
the interest compounds monthly.
5 ≤ 2x+1 ≤ 7
Do not write the line underneath the greater than sign, it was the only sign available
x = 2.5
Y = 1/3x + 2
Y = Mx + b
b would equal a positive 2 since the graph starts two units of the x-axis.
Then use the rise over run method for the rest. This means you up up 1 unit and three units to the left or 1/3.
D the slopes are negative reciprocals
Step-by-step explanation:
Given that,
DE = 8x - 13
EF = 5x + 17
DF = x + 21
Also,
DE = EF
which means that,
8x - 13 = 5x + 17
8x - 5x = 17 + 13
3x = 30
x = 30/3
x = 10
Now,
DE = 8x - 13 = 8×10 - 13 = 80 - 13 = 67cm
EF = 5x + 17 = 5×10 + 17 = 50 + 17 = 67cm
DF = x + 21 = 10 + 21 = 31cm