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Semenov [28]
3 years ago
12

The amount of money Sarah earns per week is modeled by the function W below where h

Mathematics
1 answer:
zzz [600]3 years ago
8 0

Answer:

416

Step-by-step explanation:

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Find the area of the polygon defined by the coordinates (0,-5),(-5,0),(-15,-20),and(-20,-15)
alekssr [168]

Area of the polygon defined by the given points is 62.5 sq units

Step-by-step explanation:

Step 1 :    

Let P be the point (-5,0)  Q = (0,-5), R = (-15,-20) and S = (20,-15)

We have to to find the area of the polygon PQRS

Step 2 :

The area of polygon given the vertices (x(x_{1} ,y_{1} ), (x_{2} ,y_{2})  ... (x_{n} ,y_{n} ) is given by

Area  = mod ( (x_{1} y_{2}  - y_{1}x_{2}) + (x_{2} y_{3}  - y_{2}x_{3}) + ... (x_{n} y_{1}  - y_{n}x_{1}) ) ÷ 2

Where  x_{n} is the vertex n's x coordinate , y_{n} is the vertex n's y coordinate

Substituting the corresponding values ,

Area of PQRS = mod ( (25 - 0)+ (0-75) +(300-300) +( 0-75)  ) ÷ 2

                       = mod (25-75+0-75) ÷ 2

                       = mod (-125) ÷ 2 = 125 ÷ 2 = 62.5 sq units

Step 3 :    

Answer :

Area of the polygon defined by the given points is 62.5 sq units

4 0
3 years ago
1) $400 interest is earned on a principal of $2,000 at a simple interest rate of 5%
Kitty [74]

Answer:

4 years

Step-by-step explanation:

I = $ 400

R = 5%

P =$ 2000

I = Prt

400 = 2000 * \frac{5}{100} * t

400 = 20 * 5 * t

400 = 100 t

\frac{400}{100}=t

t = 4 years

3 0
3 years ago
How is 0.9 in a percent?
puteri [66]
0.9 in percentage is 90%
3 0
4 years ago
Read 2 more answers
Winston deposited $3,294 in a bank account with an annual interest rate of 2.6%. How much interest was earned in 5
ale4655 [162]

Answer:

FV= $3,725.07

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $3,294

Number of periods (n)= 5 years

Interest rate (i)= 2.6% = 0.026

<u>To calculate the future value (FV), we need to use the following formula:</u>

FV= PV*(1+i)^n

FV= 3,294*(1.026^5)

FV= $3,725.07

3 0
3 years ago
Solve the slope for the table.
Elena-2011 [213]

Answer:

Slope = -3

Step-by-step explanation:

8-17/0+3=-9/3=-3 : Slope Formula

4 0
2 years ago
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