Answer:
Half of the total cost was paid when her braces were put on. The total cost is $3,200. How much will Kelly's parents need to save each month to pay off the ..
Step-by-step explanation:
Answer:
After 23 years , the capital will get three times as big
Step-by-step explanation:
Firstly, let us write the compound interest formula
P = I( 1 + r)^n
Since we are considering a capital rise of 3 times
If I, the initial value is x, the P
value later will be 3x
Interest rate is 5/100 = 0.05
so we need the value of t
This will be;
3x = x(1 + 0.05)^t
3= 1.05^t
ln 3 = t ln 1.05
t = ln 3/ln 1.05
t = 23 years
Answer:
distance from Houston to Galveston in kilometers will be: 80km
Step-by-step explanation:
Given
The distance from Houston to Galveston is about 50 miles.
i.e.
Kilometers in 1 Mile = 1.6 km
As the distance from Houston to Galveston is about 50 miles, so
The distance from Houston to Galveston in kilometers will be:
50(1.6) = 80 ∵ Kilometers in 1 Mile = 1.6 km
Therefore,
The distance from Houston to Galveston in kilometers will be: 80km
Answer:
(64+320π) cm^3
Step-by-step explanation:
The volume of a cube is the length*width*height, so
the volume of this cube is 4*4*4=64 cm^3
The volume of a cylinder is the base*height
The base of a cylinder is the area of a circle, which is π*the radius of the circle squared
The diameter of the circle base is 16, and the radius is half the diameter, so it is 16/2=8.
The area of the base of the cylinder is π8^2=64π
Now, multiply the base by the height, 5
64π*5=320πcm^3
We now have the volume of the cube and the volume of the cylinder, so now we just add them:
(64+320π) cm^3
Answer:
The equivalent expression is:

Step-by-step explanation:
We have been given the equation:

Equivalent expression can be computed by solving the expression ai its maximum.
We can factorize the given equation:
By using 
Here, 
Hence, we get the equation below:

Therefore, the equivalent expression is:
