Answer:
Step-by-step explanation:
The volume of a cylinder is:
where 
is the radius and 
is the height.
The height is 4 inches greater that the radius, so:
Substituting this in the formula for volume:
the volume is 
thus:
Dividing everything between pi:
We can see that the solution for this is 
since 
We have the radius, now we find the height:
Answer:
<em>Avram will have to pay $7,047 simple interest</em>
Step-by-step explanation:
<u>Simple Interest</u>
Definition: Interest calculated on the original principal only of a loan or on the balance of an account.
Unlike compound interest where the interest earned in the compounding periods is added to the new principal, simple interest only considers the principal to calculate the interest.
The interest earned is calculated as follows:
I=A.r.t
Where:
I = Interest
P = initial principal balance
r = interest rate
t = time
Avram has a principal of P=$14,500 at a simple rate of r=5.4%=0.054 for t=9 years, thus:
I=14,500*0.054*9=7,047
I=$7,047
Avram will have to pay $7,047 simple interest
First make and equation. Since you want to find the number of the day where both charge the same total amount, you would make the equation:
let x= the number of days
110+46(x)=70+54(x)
Solve:
110-70+46(x)=70-70+54(x)
40+46(x)=54(x)
40+46(x)-46(x)=54(x)-46(x)
40=8(x)
40/8=8x/8
5=x
Therefore your answer would be 5 days
To find the total amount Mrs. Johnson gave away, you need to know how much she gave the son. Because the ratio of the money given is 5:6, the amount of money he received has to be 5/6 of the money the daughter received.
So, the son received 5/6 of 2400.
To find this, multiply 5/6 x 2400 to get 2000.
The daughter received 2400 and the son received 2000, so the total amount Mrs. Johnson gave away is 4400 dollars.
Answer: 42 divided by 2
Step-by-step explanation: 50% is one half, and 42/2 is one half of 42.
