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
ANSWER:
B. $3.50
STEP BY STEP EXPLANATION:
We start out with buying the stock for $15.75 then sell it at $19.25. We need to find the difference.
Subtract $15.75 from $19.25
19.25 - 15.75 = 3.50
To check your work add $3.50 to $15.75
15.75 + 3.50 = 19.25
Hope this helps and please mark brainliest! : )
1:59 pm is 13:59, 13:59 - 06:31 = 07:28
Answer: 7 hours 28 minutes to reply
2.,3. On a "date" at 6:31 am when he already has a girlfriend? Dump him and don't look back.
7/9 divided by 5/6
whenever dividing , always flip over the second fraction
7/9*6/5
cross out 9 and 6 , divide by 3
9/3=3
6/3= 2
7/3*2/5
mutiply the numerators together : 7*2= 14
mutiply the denominators together: 3*5= 15
answer:
14/15
