Cot -90<br> trig function

Andrea and sula ran a race on a track that was 100 meters long.When andrea crossed the finish line sula was exactly 5 meters beh

cestrela7 [59]

Andrea will be at 95 meters and Sula would win I think.

7 0

3 years ago

Which graph represents the solution set of the system of inequalities? {y<−3x−2y<br> y≤x−2

irina1246 [14]

Answer:

Option 1

Step-by-step explanation:

In each inequality we have the equation of a line.

The first step in solving this problem is to identify each line in the figures.

To do this, we willient your cut points.

y = x-2

We do y = 0

0 = x-2

x = 2. This line cuts the x-axis at x = 2.

Now we do x = 0

y = -2.

This line cuts the y-axis in y = -2.

Now we can identify this line in the figure.

The inequality is:

y≤x - 2

Then the region that represents this inequality are all the points below the line y = x-2 and also those that belong to the line.

Try for example the point (0, -4) that is below this line.

-4≤0-2

-4≤-2. The inequality is met.

We do the same for the other line:

y<-3x - 2

y = -3x-2.

The cut points are:

2 = -3x

x = -2 / 3

y = -2

Locate in the graphs the line that meets these characteristics.

The region understood by this inequality are all points below the line

y = -3x-2 and which, in turn, are below the line y = x-2.

Once again, the point (-4.0) complies with both inequalities.

Identify these characteristics in the options, and you will see that the correct option is the first

4 0

3 years ago

Read 2 more answers

Calculate the future value of $7,000 earning 6% interest compounded quarterly for 7 years. (Round your answer to two decimal pla

qwelly [4]

Use the compound interest formula.

Let A = the ending amount

Let P = the principal

Let r = the interest rate

Let n = the amount compounded a year

Let t = time

A = P(1 + r/n) ^(n/t)

Substitute your numbers in

A = $7,000(1 + 0.06/4)^(4/7)

Solve for A

A = $7,059.81

7 0

3 years ago

Samuel deposits $1,800 in an account that earns 12% simple annual interest. How many months will it take for Samuel's account ba

Artemon [7]

In order to use the simple interest formula, we first define the variables. The interest would be equal to Samuel's desired amount $ 2,488 minus the principal amount of $ 1,800 which is then equal to $ 688. The rate must be in decimal form which is equal to 0.12 while t is expressed in years. Substituting the values, t is equal to 3. Thus, it will take 36 <span>months for Samuel's account balance to reach $2,448. </span>

6 0

2 years ago

Faye’s bank charges her a $2.25 service fee every time she uses an out-of-network ATM. If Faye uses an out-of-network ATM twice

Mars2501 [29]

Answer: the amount of money that she pays in service fees yearly is $234

Step-by-step explanation:

The number of times that Faye uses an out of network ATM is twice in a week. Assuming that the total number of weeks in a year is 52 weeks in a year. It means that the number of times that she uses an out of network ATM in a year is 62 × 2 = 104 times.

Faye’s bank charges her a $2.25 service fee every time she uses an out-of-network ATM. It means that the total cost for using an Faye’s bank charges her a $2.25 service fee every time she uses an out-of-network ATM for 104 times will be

2.25 × 104 = $234

4 0

3 years ago

Cot -90 trig function