X = short section of rope
4x = longer section of rope
x + 4x = 25
5x = 25
x = 5
…or in other words the shorter piece of rope is 5 feet long
Answer:
140 ounces of water and 105 ounces of 35% salt solution.
Explanation:
Let
be the ounces of water that need to be added and
be the ounces of 35% solution that need to to be added.
We know that the total of ounces of water and of 35% solution must be 245 ounces:

35% of
is the salt, and since no salt is added with addition of
liters of water, this must be equal to the amount of salt in the final 15% solution:

we solve for
and get:
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We put this value into
and solve for
to get:

Thus we have 140 ounces of water and 105 ounces of 35% solution.
Answer:
6+2+9+5+2+3+6+3 = 36
Step-by-step explanation:
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Answer:
$7,012.76
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 7/100
r = 0.07 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 5,000.00(1 + 0.07/1)(1)(5)
A = 5,000.00(1 + 0.07)(5)
A = $7,012.76
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $5,000.00 at a rate of 7% per year compounded 1 times per year over 5 years is $7,012.76.