Let n = the number of nickels that Ari has.
Let p = the number of pennies that Ari has.
The total number of coins she has is 22.
n + p = 22
We have our first equation... But we another one to solve this.
Each penny is going to be $0.01 and a nickel is work $0.05.
And the total is $0.54
Our second equation. 0.05n + 0.01p = 0.54
n + p = 22
0.05n + 0.01p = 0.54
Multiply the top by -0.05
-0.05n - 0.05p = -1.1
0.05n + 0.01p = 0.54
The n terms cancel out.
-0.04p = -0.56
p = 14
Substitute p back into the top equation.
n + 14 = 22
n = 8
So, Ari has 8 nickels and 14 pennies.
Answer:
1.4 years
Step-by-step explanation:
Use the formula for simple Interest:

Where I is the interest gained (in your case $105),
P is the principal (in your case $6000),
r is the annual interest rate in decimal form (in your case 0.0125)
and t is the time (in years) you need to find.
Therefore, we
solve for "t" in the following equation:
Answer:
506
Step-by-step explanation:
Answer:
$27.93
Step-by-step explanation:
First, add the tax rate.
24.20 * 1.03
Then, add the tip.
sum + 3
Now, round to the nearest penny, and we get $27.93.
Eric took 20 hours to do the job alone.
<u>Step-by-step explanation</u>:
<u>Given </u>:
- Total work = 75 packages
- Joe took 5 hours to complete the total work.
The amount of work Joe alone can do per hour = 75/5 = 15 packages.
The amount of work Joe and Eric together do per hour = 75/4 = 18.75
The amount of work Eric alone can do per hour = 18.75 - 15 = 3.75
The time Eric took to complete the entire work = 75 / 3.75 = 20 hours.