I am confused help me it’s due Friday

What is the solution to the system of equations? O (-6,-) O (-2, 6) O (6,2) O (-2,-6)

damaskus [11]

Answer:

Option (1)

Step-by-step explanation:

System of equations is represented by two straight lines on a graph.

And solution of the system of equations is the point of intersection of these lines.

From the graph attached, two straight lines represent the system of equations.

And the point of intersection of these lines is the solution.

Therefore, solution of the system of equations will be (-6, -2).

Option (1) will be the correct option.

4 0

3 years ago

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A car advertisement states that a certain car can accelerate from rest to 70 m/s in 7 seconds. Find the car's average accelerati

Contact [7]

Answer:

The average acceleration of the car will be 10 m/s.

Step-by-step explanation:

70 / 7 = 10 m/s.

5 0

3 years ago

The answer and how to solve this

Nady [450]

Multiply the number outside the parenthesis by each term inside the parenthesis:

2(v+5) = 2v + 10

5 0

3 years ago

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I NEED HELP PLEASE, THANKS! :)

Allushta [10]

Answer: proof below

<u>Step-by-step explanation:</u>

Use the Difference formula for sin:

sin (A - B) = sin(A)·cos(B) - cos(A)·sin(B)

sin (180° - θ) = sin(180°)·cos(θ) - cos(180°)·sin(θ)

= 0 · cos(θ) - -1 · sin(θ)

= 0 - -sin(θ)

= + sin(θ)

sin (180° - θ) = sin(θ) $\checkmark$

8 0

3 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:

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

or

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

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