Respuesta :
Answer:
9.757
Step-by-step explanation:
To solve us the compound interest formula: [tex]A=P(1+\frac{r}{n} )^n^t[/tex]
Where A=amount earned; P=principle or starting amount; r=rate(remember to convert to decimal; t=time
Plug your numbers in:
[tex]900=610(1+\frac{.041}{1} )^1^t\\[/tex]
Divide by 610
[tex]1.475409836=(1.041)^t[/tex]
Convert to logarithms
㏒(1.475409836)=㏒1.041
Divide
㏒(1.4754-98236)/㏒1.041=x
9.757
It would take Elijah 36 years for the value of his account to reach 900 dollars
So the answer is 36 years
So the answer is 36 years