Respuesta :
the equation for simple interest is : Growth) y = a(1+r)^x decay) y = a(1-r)^x
the equation for compound interest is always : B = P(1+r/n)^nt yes i know its kinda complicated but you'll get used to it.
NOTE: P is the amount you start with [for jackie its 1000 and for amber its 800] and r is the percent you get but in decimal form so if its 5% you would put 0.05 for the r. n is how many times a year (so if its annually its once a year if its quarter annually than its 4 times a year etc.). And x is always for how long (in this instance x would be 3 years)
So now we just plug in all these numbers in:
Jackie: 1000(1+0.05)^3 and just solve that equation. I'll do it for you :)
1000(1.05)^3
1.05^3= 1.157625
1000(1.157625) = 1157.625 (since we are talking about money we round to the nearest hundreth) $1,157.63
Amber: this is the hard one... plug the #'s in
800(1+0.08/1)^1x3
800(1.08)^3
1.08^3 = 1.259712
800(1.259712) = 1007.7696 (remember... money rounds to hundreth) $1007.77
So final answer... jackie makes more more money... $149.86 more
Hope this helped good luck in the future!
the equation for compound interest is always : B = P(1+r/n)^nt yes i know its kinda complicated but you'll get used to it.
NOTE: P is the amount you start with [for jackie its 1000 and for amber its 800] and r is the percent you get but in decimal form so if its 5% you would put 0.05 for the r. n is how many times a year (so if its annually its once a year if its quarter annually than its 4 times a year etc.). And x is always for how long (in this instance x would be 3 years)
So now we just plug in all these numbers in:
Jackie: 1000(1+0.05)^3 and just solve that equation. I'll do it for you :)
1000(1.05)^3
1.05^3= 1.157625
1000(1.157625) = 1157.625 (since we are talking about money we round to the nearest hundreth) $1,157.63
Amber: this is the hard one... plug the #'s in
800(1+0.08/1)^1x3
800(1.08)^3
1.08^3 = 1.259712
800(1.259712) = 1007.7696 (remember... money rounds to hundreth) $1007.77
So final answer... jackie makes more more money... $149.86 more
Hope this helped good luck in the future!
Answer:
THE CORRECT ANSWER IS ACTUALLY D- Amber will have earned $57.77 more than Jackie after 3 years
Step-by-step explanation:
TY