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Arturiano [62]
2 years ago
7

An owner of a small store knows that in the last week 54 customers paid with cash , 42 paid with debit card,and 153 paid with cr

edit card. Based on the number of customers from last week , which fraction is closest to the probability that the next next customer will pay with cash
Mathematics
1 answer:
snow_lady [41]2 years ago
6 0

Answer: 18 /83

Step-by-step explanation:

Find the total number of customers

T = 54 + 42 + 153 = 249

The probability of the next customer paying with cash is (number of customers paid with cash / total customers)

= 54 / 249

which reduces to

18 /83

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2 years ago
A person borrows $10,000 and repays the loan at the rate of $2,400 per year. The lender charges interest of 10% per year. Assumi
omeli [17]

Answer:

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

b) It takes 5.390 years to pay off the loan.

Step-by-step explanation:

(a) The differential equation for the variation in the amount of the loan M is

\frac{dM}{dt}=0.1M-2400

We can express this equation as:

\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

It takes 5.390 years to pay off the loan.

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Step-by-step explanation:

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