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:

Step-by-step explanation:
In the distributive property each value inside the parenthesis will be multiplied by the value outside the parenthesis.
In the expression 3(x - 1) it will look like:

Then we multiply both value separately giving us:

So in conclusion it would be right to assume that.

Answer:
Step-by-step explanation:
Set this up as a proportion, with inches on the top and feet on the bottom for our scale. We will find the actual length first, then we'll find the width.

Cross multiply to get that the actual length is 5(2.5) = 12.5 feet. Now for the width:

Cross multiply to get that the actual width is 5(3) = 15 feet.
If you want the area of the room, multiply the length times the width to get
A = 15(12.5)
A = 187.5 feet squared
Answer:
#1
Step-by-step explanation:
d) x=-12 because x/-3=4 can be rearranged as x=4x-3 so x=-12