Step-by-step explanation:
Both of them had $x
Later
Jensen=x-64
Raju=x-148
Jensen=3*Raju
x-64=3(x-148)
x-64=3x-444
3x-x=444-64
2x=380
x=$190
They can put them into a chart called unexpected expenses.
This way they can take vacations or if they have car troubles
It would make their life so much easier
Answer
A. 84.4
Step-by-step explanation:
Answer:
a) 72.25sec
b) 6.25secs
c) after 10.5secs and 2 secs
Step-by-step explanation:
Given the height reached by the rocket expressed as;
s(t)= -4t^2 + 50t - 84
At maximum height, the velocity of the rocket is zero i.e ds/dt = 0
ds/dt = -8t + 50
0 = -8t + 50
8t = 50
t = 50/8
t = 6.25secs
Hence it will reach the maximum height after 6.25secs
To get the maximum height, you will substitute t - 6.25s into the given expression
s(t)= -4t^2 + 50t - 84
s(6.25) = -4(6.25)^2 + 50(6.25) - 84
s(6.25) = -156.25 + 312.5 - 84
s(6.25) = 72.25feet
Hence the maximum height reached by the rocket is 72.25feet
The rocket will reach the ground when s(t) = 0
Substitute into the expression
s(t)= -4t^2 + 50t - 84
0 = -4t^2 + 50t - 84
4t^2 - 50t + 84 = 0
2t^2 - 25t + 42 = 0
2t^2 - 4t - 21t + 42 = 0
2t(t-2)-21(t-2) = 0
(2t - 21) (t - 2) = 0
2t - 21 = 0 and t - 2 = 0
2t = 21 and t = 2
t = 10.5 and 2
Hence the time the rocket will reach the ground are after 10.5secs and 2 secs
The function f(x) = 4(4)x represents the growth of a fly population every year in a remote swamp.
calculates three times a year, not just once a year.
3 times a year
so x becomes 3x
Take log on both sides
Use log property and move exponent before log
Divide both sides by x
log 4 = 3 log(1+r)
Solve for '1+r'
log 4 = log(1+r)^3
Remove log from both sides
4 = (1+r)^3
take cube root on both sides
1.584740= 1+r
1+r = 1.59
so equation becomes
1+r = 1.59
subtract 1 from both sides
So r= 59 = 59%
So growth factor is 59%
Answer is option C
