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2 years ago

What is the slope of the graph?

Mathematics

1 answer:

Dennis_Churaev [7]2 years ago

3 0

Answer:

-4

Step-by-step explanation:

Slope can be found with $\frac{y2-y1}{x2-x1}$

Pick two points on the graph that the line runs through

(-2, 4) will fill the values of x1 and y1, and (-1, 0) will fill the values of x2 and y2

Insert the coordinates into the formula

$\frac{0-4}{(-1)-(-2)}$

$\frac{-4}{-1+2}$

$\frac{-4}{1}$

Therefore the slope is -4

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Write 3,200 in scientific notation

spin [16.1K]

Answer:

The answer is 3.2 E 3 or 3.2 x 10^3

You move back 3 spaces which is 3.2, since you moved back 3 spaces, you put 3 as the power/exponet.

To be more satisfied, 3.2 is your base number, it is the big number Below the power/exponent. The power/exponent is 3, you moved 3 spaces and you moved to the left, so it is represented as a positive power/exponent.

Hope this helps.

8 0

2 years ago

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

Learn more about compound interest from brainly.com/question/6869962

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2 years ago

Estimate the sum of 23 and 71

Natali [406]

Estimation:

23 --> rounded to 20
71 --> rounded to 70
70 + 20 = 90. I rounded both numbers down so the exact sum must be only a little greater than my estimate.

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3 years ago

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Order each set of numbers from greatest to least square root 43, 3.6, -3 square root 2?

Alekssandra [29.7K]

√(43) = 6.55.
-3√(2) = -4.24...

√(43) > 3.6 > -3√(2)

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Answer:

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