To solve this we are going to use the future value of annuity due formula:
where
is the future value
is the periodic payment
is the interest rate in decimal form
is the number of times the interest is compounded per year
is the number of payments per year
is the number of years
We know for our problem that
and
. To convert the interest rate to decimal for, we are going to divide the rate by 100%:
Since the payment is made quarterly, it is made 4 times per year; therefore,
.
Since the type of the annuity is due, payments are made at the beginning of each period, and we know that we have 4 periods, so
.
Lets replace those values in our formula:
We can conclude that the amount of the annuity after 10 years is $9,781.54
length of PQ = <span> length of SR = 4
answer is </span><span>4 units</span>
Your answer would be option (1) -3x² - 18x + 19.
To find this we need to substitute in the G and F expressions into G - 3F and see what the outcome is, as this will give us the answer.
First I’m going to multiply the F expression, 2x² + 6x - 5, by 3:
3 × (2x² + 6x - 5) = 3(2x²) + 3(6x) - 3(5) = 6x² + 18x - 15.
Now we need to subtract this expression from G, which is 3x² + 4, which I will do by term:
3x² - 6x² = -3x²
0x - 18x = -18x
4 - -15 = 19
So therefore overall your answer is -3x² - 18x + 19.
I hope this helps! Let me know if you have any questions :)
Answer:
2(3y-2)
Step-by-step explanation:
Collect like terms
6y-4
Simple terms
2(3y-2)
Answer: Surface area = 46 units². Step-by-step explanation: The formula for determining the total surface area of a rectangular prism is expressed