The answer is 0. Any multiplication problem with 0 as a factor always equates to 0.
A=P (1+r/n)^nt
A= Total amount invested, P=principal amount, r=Interest rate, n=number of time in a year when the interest is earned (for annual, n=1; for semi-annual, n=2, ...), t = time in years
In the current scenario, case 1, n=2; case 2, n=1 and A1=A2, t1=t2
Therefore,
800(1+0.0698/2)^2t = 1000(1+0.0543/1)t
Dividing by 800 on both sides;
(1+0.0349)^2t = 1.25(1+0.02715)^t
(1.0349)^2t = 1.25(1.02715)^t
Taking ln on both sides of the above equation;
2t*ln (1.0349)= ln 1.25 + t*ln (1.02715)
2t*0.0343 = 0.2231+ t*0.0268
0.0686 t = 0.2231+0.0268 t
(0.0686-0.0268)t = 0.2231
0.0418t=0.2231
t=5.337 years
Therefore, after 5.337 years or 5 years and approximately 4 months, their value of investments will be equal.
This value will be,
A=800(1+0.0698/2)^2*5.337 = $1,153.76
2d^2 -2d-7
(14d^2 - 8) + (6d^2 - 2d + 1)
14d^2 - 8+ 6d^2 - 2d + 1
20d^2 - 7 - 2d
20d^2 - 2d - 7
Answer: In the metric system, "centi" is the prefix for 10-2. A square centimeter is sometimes also referred to as a square cm. Square centimeters can be abbreviated as sq cm, and are also sometimes abbreviated as cm². For example, 1 square centimeter can be written as 1 sq cm or 1 cm².
