x = liters of 40% solution
y = liters of 70% solution
Gabe needs 30 liters, so
x + y = 30
Each liter of 40% solution contributes 0.4x liter of acid; each liter of 70% solution contributes 0.7y liter of acid. Gabe needs a solution with concentration 60%, which from 30 liters amounts to a net volume of 0.6*30 = 18 liters of acid. So
0.4x + 0.7y = 18
Solve the system however you like. By substitution, we have
y = 30 - x
0.4x + 0.7(30 - x) = 18
0.4x + 21 - 0.7x = 18
3 = 0.3x
==> x = 10 ==> y = 20
Original debt = $589
APR = 29.99%
The monthly rate is 0.2999/12 = 0.02499
After 1 month:
Amount owed = 589*1.02499 = $603.72
5% payment = 0.05*603.72 = $30.187
New balance = $603.72 - 30.187 = $573.53
After 2 months:
Amount owed = 573.53*1.02499 = $587.87
5% payment = 0.05*587.87 = $29.39
New balance = 587.87 - 29.39 = $558.48
After 3 months:
Amount owed = 558.48*1.02499 = $572.44
5% payment = 0.05*572.44 = $28.62
New balance = 572.43 - 28.62 = $543.82
Answer: $543.82
Well
translates to
so
log5(x/2)=5 means 5^5=x/2, so 3125=x/2, so 6250=x
Answer:
<em>32.5 m^2</em>
Step-by-step explanation:
B = 377lw
I will use L for length instead of l.
B = 12,252.5 BTU
w = 5 m
First, we find the length.
12,252.5 = 377(L)(5)
12,252.5 = 1885L
L = 6.5
The length is 6.5 m. The width is 5 m.
A = LW = (6.5 m)(5 m) = 32.5 m^2
