13% daily is worse than any loan shark!
Suppose it takes n days, then
38500 = 19000*(1 + 13/100)n= 19000*(1.13)n
So 38500/19000 = 1.13n
ln(38500/19000) = n*ln(1.13)
so that n = ln(38500/19000) / ln(1.13) = 5.78
So 6 days.
3000
14.651
At 8% per month, compounded, it will take just 1.2 years. However, with monthly interest such that its annual compounded equivalent is 8% (roughly 0.64% each month), it will take 14.27 years.
We still need to know how often the interest is compounded ... Weekly ? Daily ? Hourly ? What does "continuous" mean ?
To calculate the future value of an investment compounded monthly, you can use the formula: [ A = P \left(1 + \frac{r}{n}\right)^{nt} ] where: ( A ) is the amount of money accumulated after n years, including interest. ( P ) is the principal amount (initial investment). ( r ) is the annual interest rate (decimal). ( n ) is the number of times that interest is compounded per year. ( t ) is the number of years the money is invested. For $500 invested at an 8% annual interest rate compounded monthly for 3 years: [ A = 500 \left(1 + \frac{0.08}{12}\right)^{12 \times 3} \approx 500 \left(1 + 0.00667\right)^{36} \approx 500 \times 1.28368 \approx 641.84 ] So, the investment would be worth approximately $641.84 after 3 years.
If the interest is simple interest, then the value at the end of 5 years is 1.3 times the initial investment. If the interest is compounded annually, then the value at the end of 5 years is 1.3382 times the initial investment. If the interest is compounded monthly, then the value at the end of 5 years is 1.3489 times the initial investment.
It depends how the interest is calculated. If it's compounded, your initial 500 investment would be worth 638.15 after 5 years.
$44,440.71
Interest = 2472
$1480.24
3000
11 years
14.651
At 8% per month, compounded, it will take just 1.2 years. However, with monthly interest such that its annual compounded equivalent is 8% (roughly 0.64% each month), it will take 14.27 years.
If the interest is compounded annually, then the first interest payment isn't added until the end of the first year. Until then, the investment is worth exactly $15,000.00 .
Total value = 20000*(1.06)2 = 22472 So interest = 2472
We still need to know how often the interest is compounded ... Weekly ? Daily ? Hourly ? What does "continuous" mean ?