Answer:
Step-by-step explanation:
Answer: it would take 20 weeks before the amount in both accounts would be the same.
Step-by-step explanation:
Let x represent the number of weeks that it will take either Ruben and Shawna to have the same amount of money in their account.
Let y represent the total amount that would be in Shawna's account after x weeks
Let z represent the total amount that would be in Ruben's account after x weeks
Shawna has $750 in the bank. She deposits $37.50 each week. This means that the total amount after x weeks would be
y = 37.5x + 750
Ruben has $850 in the bank. He deposits his paycheck of $102.75 every Monday,and he spends about $70.25 each week.. This means that the total amount after x weeks would be
z = 850 + 102.75x - 70.25x
z = 850 + 32.5x
To determine the number of weeks before the amount in both accounts will becomes the same, we would equate y to z. It becomes
37.5x + 750= 850 + 32.5x
37.5x - 32.5x = 850 - 750
5x = 100
x = 100/5 = 20
Assume r= t not sure if you mistyped this.
t = 15 min
T(t) = 68 (0.5)^(15/10) = 24 Celsius
31 = (0.5)^(t/10) take ln
ln31 = (t/10) ln (0.5) + ln68
t = (ln32 - ln 68/ln0.5) * 10 = 11.3 min
So we are given a system:
Substitute x = 2 we get the system:
Multiply the first equation by -5 and the second by 2 we get the system:
Adding the two equations we get :
We find the value of y by using any of the other equations like this:
Final solution:
