Answer:
Step-by-step explanation:
4x + 23 + 9x - 38 = 180
13x - 15 = 180
13x = 195
x = 15
4(15) + 23= 60 + 23= 83
9(15) - 38 = 135 - 38= 97
21y - 1 + 97 = 180
21y + 96 = 180
21y = 84
y = 4
21(4) - 1 = 84 - 1 = 83
Answer:
x = (2+k)/(k-3)
Step-by-step explanation:
k = (3x +2)/(x-1)
First just multiply both sides by (x-1)
(x-1)k = 3x+2
kx - k = 3x+2
Add k both sides and Subtract 3x both sides to get:
kx - 3x = 2+k
Take x out since it's common
x(k-3) = 2+k
Multiply both sides by (k-3)
x = (2+k)/(k-3)
Hope this helps!
Answer:
$0.10/pencil
Step-by-step explanation:
Find the unit cost. To do this, divide $1.25 by 12 pencils, obtaining:
$1.25
---------------- = $0.1042/pencil, or (more logically) $0.10/pencil
12 pencils
Time taken for the amount deposited to grow to $5000 will be found as follows:
A=P(1+r/100*n)^nt
where:
A=amount
P=principle
r=rate
n=number of terms
t=time
thus plugging in our values we have:
5000=3587.39=(1+4.2/200)^2t
solving for t we have:
1.393771=1.021^2t
2t=ln1.393771/ln1.021
2t=16.111
t=8.055685 years~8 years
