Your answer to look for is: Slope ( -5/3 ) & Y-intercept ( 7/3 )
Answer:
Step-by-step explanation:
Need to find the value of t, when h(t) = 0
-
-16t^2 +64t + 100 = 0
- 4t^2 - 16t - 25 = 0
- 4t^2 - 2*2t*4 + 16 = 41
- (2t - 4)^2 = 41
- 2t - 4 = √41
- 2t - 4 = 6.4
- 2t = 10.4
- t = 5.2
Answer is 5.2 seconds
Alright, we know that we have to spend 499 dollars on a computer as a base cost. Next, we have to buy 49.99 * x dollars worth of games (since games are 49.99 each), adding up to 499+49.99*x
Alright, so plugging 5 in for x, we get 499+49.99*5=744.95
Since one controller is 24.99, the money for buying a y amount of controllers would be 24.99*y., making the expression 499+49.99x+24.99y
Since in part D, there are no games, we plug these in to get
499+49.99*0++24.99*3=573.97 dollars
Answer:
A). A(t) = P(1+r/n)^(nt)
B). DA/Dt = np(1+r/n)^(t)
C). A(5) =$ 5664.0
D).t = approximately 13.5 years
Step-by-step explanation:
A(t) = P(1+r/n)^(nt)
P = $5000
n= t
r= 2.5%
After five years t = 5
A(t) = P(1+r/n)^(nt)
A(5) = 5000(1+0.025/5)^(5*5)
A(5) = 5000(1+0.005)^(25)
A(5)= 5000(1.005)^(25)
A(5) = 5000(1.132795575)
A(5) = 5663.977875
A(5) =$ 5664.0
When the balance A= $7000
A(t) = P(1+r/n)^(nt)
7000= 5000(1+0.025/n)^(nt)
But n= t
7000= 5000(1+0.025/t)^(t²)
7000/5000= (1+0.025/t)^(t²)
1.4= (1+0.025/t)^(t²)
Using trial and error
t = approximately 13.5 years
