SOLUTION: Hi! Pretty please with a cherry on the top would you help me solve this problem! Thank you so much. Appreciate it! {{{ Compounded semiannually. P dollars is invested at annua

Question 165922: Hi! Pretty please with a cherry on the top would you help me solve this problem! Thank you so much. Appreciate it!

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Compounded semi-annually. P dollars is invested at annual interest rate r for 1
year. If the interest is compounded semi-annually, then the polynomial p(1+r/2)^2
represents the value of the investment after 1 year.
:
Rewrite this expression without parenthesis.
A = p(1+r/2)^2
:
FOIL (1+(r/2))*(1+(r/2)) to get rid of the exponent
A = p *(1 + + )
:
A = p (1 + r + ); cancel 2
:
Multiply what's inside the brackets by p
A = p + pr +
:
Evaluate the polynomial if P= $200 and r =10%.
Substitute for p and r in the above equation
:
A = 200 + 200*.10 +
:
A = 200 + 20 +
:
A = 220 +
:
A = 220 + .50
:
A = 220.50
:
:
Check solution on a calc: enter 200*(1+(.1/2))^2 = 220.5
RELATED QUESTIONS
Can you pretty please with a cherry on top help me with this. Im terribly confused. Thank (answered by erica65404)

Hi, I can't solve this word problem involving right triangles: "A surveyor finds that... (answered by josmiceli)

this one is tough.. you are making a coffee table with a glass top surrounded by a cherry (answered by edjones)

this one is tough.. you are making a coffee table with a glass top surrounded by a cherry (answered by scott8148)

Hi Dear Tutor, Please Please Please Help me with this awful problem!!!! I can't... (answered by ankor@dixie-net.com)

solve the problem: Find A∪B, given A={6,15,3} and B={15,3,100} If anyone can... (answered by jim_thompson5910)

Please help me with this problem. I am confused and am trying to learn how to solve this... (answered by jim_thompson5910,stanbon)

Hi, Please help me solve this math problem... Directions are :factor each expression as... (answered by Theo)

Would someone assist me with this, please? My problem says this: Soft Drink Taste... (answered by ewatrrr)