1.625 as a fraction is 1 5/8
15/8 simplified is 1 7/8
if you are using the word "and" to represent multiplication here you go:
first i would change both fractions to a mixed number
13/8×15/8=195/64
simplify
your answer would be 3 3/64
if you are using "and" to represent adding here you go:
1.625 as a fraction is 1 5/8
first i would change 1 5/8 to a mixed number: 13/8
so then add 15/8+13/8=28/8
simplify:
28÷4=7
8÷4=2
7/2=3 1/2
i hope this helped
Answer:
maybe the attached image is helpful
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:
The interest rate was of 0.1173 = 11.73%.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
In this problem, we have that:
So
So
The interest rate was of 0.1173 = 11.73%.
A. They are symmetric about y=x
