If $700 is invested at 9% compounded(A) annually,(B) quarterly,(C) monthly,what is the amount after 6 years? How much interest is earned?(A) If it is compounded annually, what is the amount?$1173.97 (Round to the nearest cent.)How much interest is earned?$□ (Round to the nearest cent.)
Q. If $700 is invested at 9% compounded(A) annually,(B) quarterly,(C) monthly,what is the amount after 6 years? How much interest is earned?(A) If it is compounded annually, what is the amount?$1173.97 (Round to the nearest cent.)How much interest is earned?$□ (Round to the nearest cent.)
Given Information: We have:Principal amount P = $700Annual interest rate r = 9\% or 0.09Number of years t = 6Number of times the interest is compounded per year n for annual compounding = 1We will use the compound interest formula: A=P(1+r/n)nt
Calculate Amount: Calculate the amount A after 6 years for annual compounding:A=700(1+0.09/1)(1∗6)A=700(1+0.09)6A=700(1.09)6
Perform Calculation: Perform the calculation:A=700×(1.09)6A=700×1.6771 (rounded to four decimal places)A=$(1173.97) (rounded to the nearest cent as given)
Calculate Interest Earned: Now, calculate the interest earned I for annual compounding:Interest earned I = Amount A - Principal PI=1173.97−700I=$(473.97)