Answer:Let n = the smallest integer
Then the other integers are n+1, n+2, n+3 and n+4
Sum = n + n+1 + n+2 + n+3 + n+4 = 5n + 10 = 5(n + 2)
So the sum is always divisible by 5, for any value of n
Step-by-step explanation:
Pete starts with 4 quarts of 20% juice, which contains
0.20 • (4 quarts) = 0.8 quarts
of juice.
If he mixes this with <em>x</em> quarts of 60% juice, which contains
0.60 • (<em>x</em> quarts) = 0.6<em>x</em> quarts
of juice, then he would end up with a mixture with a volume of (<em>x</em> + 4) quarts that contains (0.8 + 0.6<em>x</em>) quarts of juice. The mix has to have a concentration of 50% juice, which means
(0.8 + 0.6<em>x</em>) / (<em>x</em> + 4) = 0.50
Solve for <em>x</em> :
0.8 + 0.6<em>x</em> = 0.50 (<em>x</em> + 4)
0.8 + 0.6<em>x</em> = 0.5<em>x</em> + 2
0.1<em>x</em> = 1.2
<em>x</em> = 12
So Pete needs 12 quarts of the 60% juice.
Answer:
The new balance will be $385.04.
Step-by-step explanation:
Previous balance = $179.32
Payments/credits = $85.00
Unpaid balance = 
= $264.32
Monthly rate = 1.25%
Finance charge = 
= $3.30
New purchases = $117.42
New balance = 
= $385.04
Answer:
14
step by step explanation:
14
