Answer:
1. 8,400
2. 3,600
3. 1,500
Step-by-step explanation:
multiply the weeks by the number of cars first, and then times it by the amount of money per car
(weeks×cars per week) money per car
Given:
Percent Amount $
Fund A 3% $4000
Fund B 1% x
Total Funds 8% $4000 + x
Find:
Fund B Investment
Solution:
$4000 * .03 + .10 * x = .08% ($4000 + x)
We already know 3 rates and one amount invested
$4000 * .03 + .10 * x = .08% ($4000 + x)
Multiply them out:
120 + (0.10 * x) = 320 + 0.08x
Now, we combine like terms.
.10x – 0.08x = 320 – 120
.02x = 200
Isolate x
x = 200 / 0.02
Divide
x = $10,000
Checking:
($4000 * .03) + (.10 * 10,000) = .08% ($4000 + 10,000)
120 + 1000 = 320 + 800
1120 = 1120
Therefore, fund B has an investment of $10,000.
Answer:
<em>The water is leaking at the rate of 0.0625 gal/min.</em>
Step-by-step explanation:
<u>Rate of change</u>
The rate of change (ROC) is a measure that compares two quantities, usually to know how fast one variable changes in time.
The container holds 8 gallons of water and is leaking at a constant rate to be calculated later.
When 48 minutes have passed, the container has 5 gallons of water left. This means it has leaked 8 gallons - 5 gallons = 3 gallons.
Calculating the rate at which it's leaking:
r = 0.0625 gal/min
The water is leaking at the rate of 0.0625 gal/min.
Answer:
2nd point
Step-by-step explanation:
Answer:
1-4=-3
Step-by-step explanation:
1-4
=-(4-1)
=-3
