Answer:
$9891.23
Step-by-step explanation:
The formula for future value of annuity due is:
Where,
- FV is the future value of the annuity (what we need to find)
- P is the periodic payment (here it is $400)
- r is the interest rate per period (here 13% yearly interest is actually percent per period(quarter))
- n is the number of periods (here the annuity is for years, which is periods, since quarterly and there are 4 quarters in 1 year)
Substituting all those values in the equation we get:
Hence, the future value of the annuity due is $9891.23
How to rationalize the denominator with square roots?
So, in order to rationalize the denominator, we need to get rid of all radicals that are in the denominator.
Step 1: Multiply numerator and denominator by a radical that will get rid of the radical in the denominator. ...
Step 2: Make sure all radicals are simplified. ...
Step 3: Simplify the fraction if needed.
hope this helps!
Andrew invests $7600 in two different accounts. The first account paid 9 %, the second account paid 14% in interest. At the end of the first year he had earned $829 in interest. How much was in each account?
Let
x ------> the amount invested in account that paid 9 %
7,600-x ------> the amount invested in account that paid 14%
we have that
9%=9/100=0.09
14%=14/100=0.14
so
(x)*(0.09)+(7,600-x)*(0.14)=829
solve for x
0.09x-0.14x+1,064=829
0.14x-0.09x=1,064-829
0.05x=235
x=4,700
Find the value of (7,600-x)
7,600-4,700=2,900
therefore
the answer is
<h2> the amount invested in account that paid 9 % was $4,700</h2><h2>the amount invested in account that paid 14% was $2,900</h2>
Answer:
Step-by-step explanation:
The slope is -6
The y-intercept is 2
Y=mx+b
M= slope
B= y-intercept