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
The answer is shown above
Answer:
After 9 years the account will be worth 13709.60$
Step-by-step explanation:
We are given the following in the question:
We are given the following in the question:
P = $8000
r = 6% = 0.046
n = 12
The compound interest is given by:
where A is the amount, p is the principal, r is the interest rate, t is the time in years.
Putting the values, we get,

Thus, after 9 years the account will be worth 13709.60$
Please consider the attached image for complete question.
We have been given that measure of arc WY is 76° and and measure of arc XZ is 112°. We are asked to find the difference of of the measures of angle WPY and angle XPY.
First of all we will find the measure of angle WPY using intersecting secants theorem. Intersecting secants theorem states that measure of angle formed by two intersecting secants inside a circle is half the sum of intercepting arcs.




We can see that angle WPY and angle XPY are linear angles, so they will add up-to 180 degrees.




Now we need to find difference of both angles as:


Therefore, the difference of the measures of angle WPY and angle XPY is 8 degrees.