I need help on this Algebra question

Mathematics

1 answer:

Phantasy [73]3 years ago

6 0

Answer:

It is the third number Line

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M is the midpoint of PQ, N is the midpoint of MQ, and L is the midpoint of MN. IfPQ = 64, find LN.

alisha [4.7K]

LN=8 because every time there is a midpoint you have to divide it in half. So 64,32,16,8

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3 years ago

Gabriela bought a new pair of sunglasses when they were having a 30% off sale if the regular price of the glasses was 72% how mu

serg [7]

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3 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:

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