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3 years ago

Which expression can be used to find the slope of a line containing the points (-3,7) and (7,-1)

Mathematics

2 answers:

IceJOKER [234]3 years ago

8 0

Answer:

slope is delta y over delta x. In other words change in y over change in x. so if you take -3 (this is x) and 7 (this is also x) and you find the change. in this example it is positive 10. now you set that number aside and work on y now. so you now take 7 (this is y) and -1 (this is also y) and you find the change. It is -8. Finaly, since slope is delta y over delta x your answer is -8/10. -8/10 is your slope.

Hope this helped!

Nezavi [6.7K]3 years ago

7 0

Answer:

x2- x1

which would be,

7- (-3)

Steps:

(-3, 7) (7, -1)

(x1,y1) (x2,y2)

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3 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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3 years ago

a 5-gallon mixture contains 40% acid. A 3-gallon mixture contains 50% acid. what percent acid is obtained by putting the two mix

natta225 [31]

so the 5 gallons ones is 40% acid, how much acid solute is in it anyway? well just 40% of 5 or namely 0.4*5 = 2 gallons.

the 3 gallons one is 50%, likewise it has 0.50 * 3 = 1.5 gallons of acid solute in it.

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2 years ago

Find the difference between -14w - 3 and 5w

Alexus [3.1K]

Answer:

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Step-by-step explanation:

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3 years ago

The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 376 people entered the park, a

tatiyna

Answer:180 adults were admitted.

Step-by-step explanation:

Let x represent the number of children that were admitted into the park.

Let y represent the number of adults that were admitted into the park.

The admission fee at the amusement park is $1.50 for children and $4 for adults.

The admission fees collected totaled 1,014.00 dollars. This means that

1.5x + 4y = 1014 - - - - - - - - - -1

On a certain day, 376 people entered the park. This means that

x + y = 376

Substituting x = 376 - y into equation 1, it becomes

1.5(376 - y) + 4y = 1014

564 - 1.5y + 4y = 1014

- 1.5y + 4y = 1014 - 564

2.5y = 450

y = 450/2.5 = 180

Substituting y = 180 into x = 376 - y, it becomes

x = 376 - 180 = 196

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