Answer:
The future value of this initial investment after the six year period is $2611.6552
Step-by-step explanation:
Consider the provided information.
A student desired to invest $1,540 into an investment at 9% compounded semiannually for 6 years.
Future value of an investment: 
Where Fv is the future value, p is the present value, r is the rate and n is the number of compounding periods.
9% compounded semiannually for 6 years.
Therefore, the value of r is: 
Number of periods are: 2 × 6 = 12
Now substitute the respective values in the above formula.
Hence, the future value of this initial investment after the six year period is $2611.6552
Answer:
X = all #'s
why?
6x+10+10x < 4(4x+3)
Combined liked terms
16x + 10 < 16x +12
you can see that there is X on both sides and the lowest one has a +10 and the highest has a +12 so it will always be greater by 2
Answer:
76 and 91
Step-by-step explanation:
3/4 × 2 2/5
Turn 2 2/5 into an improper fraction.
2 2/5 = (5 × 2) + 2 = 12
So, 2 2/5 = 12/5
So, our new question is : 3/4 × 12/5
Multiply the numerators (top numbers) with one another.
Numerators : (3 × 12) = 36
Multiply the denominators (bottom numbers) with one another.
Denominators : (4 × 5) = 20
So, our answer is 36/20
However, we need this to be a mixed number.
So, how many times does 20 go into 36? Once!
So, Multiply 20 with 1, and then subtract that number from 36! :)
20 × 1 = 20
36 - 20 = 16
So, our answer is :
1 16/20
Then, you simplify it once more.
Divide the numerator and denominator by 4.
16 ÷ 4 = 4
20 ÷ 4 = 5
So, our final answer is 1 4/5
~Hope I helped!~
X2+y2–x–2y–11/4=x2−x+14−14+y2−2y+4−4−11/4=(x−12)2+(y−2)2−14−4−114=(x−12)2+(y−2)2−7=0(x−12)2+(y−2)2=(7√)2
Center(1/2 ,2)
radius = \sqrt 7
