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3 years ago

(ab - 9)(ab + 8) Please answer.

1 answer:

3 0

$\text{Use FOIL method:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\(ab-9)(ab+8)=(ab)(ab)+(ab)(8)+(-9)(ab)+(-9)(8)\\\\=a^2b^2+8ab-9ab-72\\\\=\boxed{a^2b^2-ab-72}$

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valkas [14]

Answer: $\boxed{y=\frac{4}{5}x-2}$

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals, so as the slope of the given line is -5/4, the slope of the perpendicular line is 4/5.

Substituting into point-slope form,

$y-6=\frac{4}{5}(x-10)\\\\y-6=\frac{4}{5}x-8\\\\\boxed{y=\frac{4}{5}x-2}$

4 0

2 years ago

Multiply 4/5 by the reciprocal of −2/10.

Svetach [21]

Answer:

4/5*reciprocal of -2/10

The reciprocal of -2/10 is 10/-2

4/5*10/2

Cancelling the numbers

-4 is the answer

Step-by-step explanation:

I hope it will help you :)

7 0

4 years ago

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A rectangular school yard 280 meters by 245 meters is to be fenced. How many meters of fencing will be required to fence it comp

NemiM [27]

525 or 68,600. It's one of them.

6 0

4 years ago

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Natalie has $5000 and decides to put her money in the bank in an account that has a 10% interest rate that is compounded continu

kakasveta [241]

Step-by-step explanation:

Natalie has $5000

She decides to put her money in the bank in an account that has a 10% interest rate that is compounded continuously.

Part a) What type of exponential model is Natalie’s situation?

Answer:

As Natalie's situation implies

continuous compounding. So, instead of computing interest on a finite number of time periods, for instance monthly or yearly, continuous compounding computes interest assuming constant compounding over an infinite number of periods.

So, it requires the more generalized version of the principal calculation formula such as:

$P\left(t\right)=P_0\times \left[1+\left(i\:/\:n\right)\right]^{\left(n\:\times \:\:t\right)}$

$P\left(t\right)=P_0\times \left[1+\left(\frac{i}{n}\:\right)\right]^{\left(n\:\times \:\:t\right)}$

Here,

$i$ = interest rate

= number of compounding periods

$t$ = time period in years

Part b) Write the model equation for Natalie’s situation?

For continuous compounding the number of compounding periods, $n$ , becomes infinitely large.

Therefore, the formula as we discussed above would become:

$P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}$

Part c) How much money will Natalie have after 2 years?

Using the formula

$P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}$

$₂ $=\:6107.02$ $

So, Natalie will have $\:6107.02$ $ after 2 years.

Part d) How much money will Natalie have after 2 years?

Using the formula

$P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}$

$₁₀ $=13.597.50$ $

So, Natalie will have $13.597.50$ $ after 10 years.

Keywords: word problem, interest

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5 0

3 years ago

g(x)=2x+9g, left parenthesis, x, right parenthesis, equals, 2, x, plus, 9 g ( g(g, left parenthesis ) = 15 )=15right parenthesis

Dmitriy789 [7]

Answer:

I don't understand your question

6 0

3 years ago

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