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Sveta_85 [38]
4 years ago
11

A computer has $245 and his commuter savings account. This account changes by -$15 each week he buys a ticket. In one time perio

d The account changes by -$240. For how many weeks did the computer buy tickets?
Mathematics
1 answer:
dezoksy [38]4 years ago
7 0

Answer:

16 weeks

Step-by-step explanation:

Change per week = - $15

Total change = - $240

<u>Number of weeks:</u>

  • -240/ -15 = 16
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omeli [17]

Answer:

a) M(t)=24000-14000e^{t/10}

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Step-by-step explanation:

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\frac{dM}{dt}=0.1M-2400\\\\10\int \frac{dM}{M-24000} =\int dt\\\\10ln(M-24000)=t\\\\M-24000=Ce^{t/10}\\\\M=Ce^{t/10}+24000\\\\M(0)=Ce^{0/10}+24000=10000\\\\C+24000=10000\\\\C=-14000\\\\M(t)=24000-14000e^{t/10}

(b) We can calculate this as M(t)=0

M(t)=24000-14000e^{t/10}=0\\\\e^{t/10}=24000/14000=1.714\\\\t=10ln(1.714)=10* 0.5390=5.390

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