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3 years ago

7

What is the value of the expression 2 (exp) 2 + 4 (exp) 2 ÷ 2 (exp) 2?

1 answer:

atroni [7]3 years ago

7 0

2^2+4^2/2^2

According to the order of operations, evaluate all exponents first.
2^2=4
4^2=16

4+16/4

Then divide next
4+4

Then add
8

Final answer: 8

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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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2 years ago

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brilliants [131]

the answer is -2.2.

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ad-work [718]

<h2>Greetings!</h2>

Answer:

The slope is 1.

Step-by-step explanation:

First, we must find the slope of the current equation.

This is the number in front of the x.

Seeing as this is -x, or -1x, the slope of this line is -1

When finding the slope of a line perpendicular, you need to find the $\frac{-1}{slope}$

So, in this case it is:

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The minuses cancel out, leaving with 1 over 1 or 1/

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<h2>Hope this helps!</h2>

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