Solve for x
1 answer:
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Answer:
Part A)
Part B)
Part C) The simple interest investment is better than the compounded interest investment at the end of three years.
Part D) see the explanation
Step-by-step explanation:
Part A) Determine the value of the simple-interest investment at the end of three years
we know that
The simple interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
substitute in the formula above
Part B) Determine the value of the compound-interest investment at the end of three years
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above
Part C) Which investment is better over the first three years?
Compare the two investment
The compounded interest investment is less than the simple interest investment
therefore
The simple interest investment is better than the compounded interest investment at the end of three years
Part D) How would you advise George to invest his money if he is unsure how long he’ll keep the money in the account?
we have
----> simple interest formula as a function of the time t
----> compound interest formula as function of the time t
Look to the attached graph below
The red line represents the simple interest investment
The blue curve represents the compounded interest investment
After 0 years and before 4.179 years the red line is over the blue curve, that means the simple interest is better because it gives more money than the compounded interest
After that the blue curve is over the red line that means the compounded quarterly is better because it gives more money than the simple interest
therefore
I advise George to invest his money in the compounded interest investment if he will keep the money for a long time
Answer:
970m^{2}
Step-by-step explanation:
This polygon can be divided in two figures: one is a triangle, an the other one is a square.
We'll begin calculating the triangle's area, using the following formula:
Where:
As you can see, I added both sides of the triangle that measure 9 m and also the lenght of the square that measures 20 m! This added up is what the base of the triangle measures on total.
Now we are going to calculate the square's area, that is much more simple:
Where:
To know the whole figure's area, we add up both areas: