Answer:
The equation is a conditional.
y = 7.5
Step-by-step explanation:
y - 11 + 3y = 6y + 4
4y - 11 = 6y + 4
4y - 4y - 11 = 6y - 4y + 4
- 11 = 2y + 4
- 11 - 4 = 2y + 4 - 4
2y = - 15
2y ÷ 2 = - 15 ÷ 2
y = - 7.5
It takes 3 years for the balance of account to be $ 221
<em><u>Solution:</u></em>
From given information,
Principal = $ 200
Rate of interest = 3.5 %
Amount after "n" years = $ 221
To find: number of years
In simple Interest,
Simple interest = amount earned - principal
Simple interest = 221 - 200 = 21
Thus simple interest earned is $ 21
<em><u>The formula for simple interest is given as:</u></em>

Where,
p is the principal
n is the number of years
r is the rate of interest per annum
Substituting the given values in formula,

Thus it takes 3 years for the balance of account to be $ 221
Step-by-step explanation:

Answer:
Step-by-step explanation:
we are asked to find the volume of solid that lies within both the cylinder

and
the sphere
Conversion from rectangular to cylindrical is

|J| =r
In cylindrical coordinates the volume is bounded by the cylinder r=5 and

Hence we can write volume as
