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3 years ago

6) Use the distributive property to expand the following expression: 4(6 + x)

Mathematics

1 answer:

irga5000 [103]3 years ago

6 0

Answer:

24+4x

Step-by-step explanation:

4(6)= 24

4(x)= 4x

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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:

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

(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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Answer:

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Since angle COB is the central angle of arc CB, the measure of arc CB = 80 degrees

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mihalych1998 [28]

Answer:
False

Explanation:
No, a triangle cannot be constructed with sides of 2 in., 3 in., and 6 in.

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