Nathan invested $75,000 in an account paying an interest rate of 6.8% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $182,800?

13. 5 years

Step-by-step explanation:

First, convert R percent to r a decimal

r = R/100

r = 6.8%/100

r = 0.068 per year,

Then, solve our equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(182,800 / 75,000) / ( 1 × [ln(1 + 0.068/1)] )

t = 13.542 years

Summary:

The time required to get  a total amount of $ 182,800.00  from compound interest on a principal of $ 75,000.00  at an interest rate of 6.8% per year  and compounded 1 times per year  is 13.542 years. (about 13 years 7 months)

there would be 365 different 4 digit numbers

step-by-step explanation:

i belive that it is 365 because i asked google

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3