Answer:
había 18 DVDs al principio
Step-by-step explanation:
si procedemos desde el final del problema , sabemos que :
total que le quedaba después de darle los CDs a Juan - lo que fue para la hermana = lo que le sobró
x - x/3 = 6
2/3*x = 6
x= 6 * 3/2 = 9
por lo tanto tenia x=9 DVDs después de entregarle a Juan los suyos
también sabemos que
DVDs que tenia al principio - lo que fue para Juan = 9 DVDs
y - y/2 = 9
y/2 = 9
y= 18
finalmente había y= 18 DVDs al principio
(-2,3) is where they intersect
Hope that helped
if the person leaves the money in the bank, the time it will take for it to reach the given final amount is 6.3 years.
<h3>What is an interest in banking?</h3>
Interest is simply the amount of money a lender or financial institution receives for lending out money or pays for receiving money.
The formular for calculating compound interest is expressed as;
A = P(1 + r/n)^(n*t)
Where A is final amount, P is initial principal balance, r is interest rate, n is number of times interest applied per time period and t is number of time periods elapsed.
Given the data in the question;
- Initial principal balance P = $4000
- Interest rate r = 5.5% anuually = 5.5/100 = 0.055
- Final amount A = $5600
- Time t = ?
We substitute our given values into the expression above.
A = P(1 + r/n)^(n*t)
5600 = 4000(1 + 0.055/1)^(1*t)
5600 = 4000( 1.055 )^t
( 1.055 )^t = 5600 / 4000
( 1.055 )^t = 1.4
We take log of each sides
0.02325t = 0.1461
t = 0.1461 / 0.02325
t = 6.3
Therefore, if the person leaves the money in the bank, the time it will take for it to reach the given final amount is 6.3 years.
Learn more about compound interest here: brainly.com/question/27128740
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#6 80, 162.5
#7 .375, .4 repeating
