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3 years ago

Stop and Shop sells 6 cases of Pepsi for $21.60. What is the constant of proportionality?

Mathematics

1 answer:

otez555 [7]3 years ago

3 0

Answer: $3.60 per case

Step-by-step explanation: $21.60 divided by 6 = 3.60

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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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3 years ago

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Vadim26 [7]

Answer:

B) 1/2

Step-by-step explanation:

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3 years ago

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A group of students have the following house numbers : 29, 39, 59, and 79. Randy's house number is a composite number. What is R

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Randy's house number is 39

Explanation : We know that Randy's house number is either 29,39,59, or 79. Since his house is a composite number, we must pick the number from the following that is a composite number. 39 is a composite number, because 3 and 13 go into it

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