martinezwendy3830 martinezwendy3830
  • 22-10-2019
  • Mathematics
contestada

110. Dani has $1,000 in an investment account that earns 3% per year, compounded monthly.
b. Write an explicit formula for the amount of money in the account after n months.

Respuesta :

KrystaCort KrystaCort
  • 22-10-2019

Answer:

The formula of Compound Interest is:

[tex]A = P(1+\frac{r}{n})^{nt}[/tex]

where A = Amount

P = Principle

r = rate

n = Number of Compounding per year

t = total number of year

a. For Dani

Here, P = 1000, r = 3% = 0.03, n = 12(monthly), and time = t.

Putting all these values in above formula:

[tex]A = 1000(1+\frac{0.03}{12})^{12\timest}[/tex]

⇒ [tex]A = 1000(\frac{12.03}{12})^{12t}[/tex]

⇒ [tex]A = 1000(1.0025)^{12t}[/tex]

Answer Link

Otras preguntas

what is a direct democracy in your own words?​
In Angela’s ashes How does Philomena's quote, "There is a suspicion you might have Presbyterians in your family," reflect the history of Ireland? Use evidence f
Pls help and no links
m3+ 3 m3 + 4 m²simplify​
What is the value of total returned by the call secret(3) ? int secret int num) { int total= 10; switch(num) { case 1: case 2: total=5. break case 3. total= 10:
[tex]\sqrt{x} 200[/tex]
Examine the locations of the following nations. Which of these nations is least likely to guard the Gulf of Mexico? Cuba Mexico United States Canada
Help me please like yeaaa
Although there has been a significal boots in girl's enrollment in school there is still not much progress to be _______ A. Took B.conducted C.make D.done
Express the ratio as a unit rate. 4.5 miles in 25 minutes