Answer:
7 cm
Step-by-step explanation:
it is a square so sqrt(49)=7, and the side lengths are 7
18 kg of 15% copper and 72 kg of 60% copper should be combined by the metalworker to create 90 kg of 51% copper alloy.
<u>Step-by-step explanation:</u>
Let x = kg of 15% copper alloy
Let y = kg of 60% copper alloy
Since we need to create 90 kg of alloy we know:
x + y = 90
51% of 90 kg = 45.9 kg of copper
So we're interested in creating 45.9 kg of copper
We need some amount of 15% copper and some amount of 60% copper to create 45.9 kg of copper:
0.15x + 0.60y = 45.9
but
x + y = 90
x= 90 - y
substituting that value in for x
0.15(90 - y) + 0.60y = 45.9
13.5 - 0.15y + 0.60y = 45.9
0.45y = 32.4
y = 72
Substituting this y value to solve for x gives:
x + y = 90
x= 90-72
x=18
Therefore, in order to create 90kg of 51% alloy, we'd need 18 kg of 15% copper and 72 kg of 60% copper.
Answer:
$1348.07
Step-by-step explanation:
Hello!
<h3>Compound Interest Formula:

</h3>
- A = Account Balance
- P = Principle/Initial Amount
- r = Rate of Interest (decimal)
- n = Number of times compounded (per year)
- t = Number of Years
<h3>Given Information</h3>
- Account Balance = ?
- Principle Amount = $1000
- Rate of Interest = 0.02
Why is the Rate 0.02?
This is because we are gaining money, so the multiplier should be greater than 1. We already added 1, which is 100% so you simply add the 0.02 for the extra 2%.
- Number of times compounded per year = 6
This is because it is being compounded bi-monthly, or once every 2 months. 12 months divided by 2 months is 6 months, so 6 times a year.
<h2>Solve </h2>
Solve by plugging in the given values into the formula.
This is really close to the first option, and since there is rounding involved with the repeating decimal, the first option should be correct.
The answer is $1348.07.
Answer: the awnser to this problem is 38.5 sq. units
Step-by-step explanation: