Can someone help me please

Margo borrows $500, agreeing to pay it back with 3% annual interest after 14

Akimi4 [234]

Answer:

$\$17.50$

Step-by-step explanation:

we know that

The simple interest formula is equal to

$I=P(rt)$

where

I is the Final Interest to pay

P is the amount of money borrowed

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=\frac{14}{12}\ years\\ P=\$500\\r=3\%=3/100=0.03$

substitute in the formula above

$I=500(0.03)(\frac{14}{12})$

$I=\$17.50$

4 0

3 years ago

If the hypotenuse of my triangle 1ft, and the base of my triangle is also 1ft, is it possible for me to find the height? If so,

Elena L [17]

Answer:

Nitrous Oxide

----------. --------

___________

Because ,the resulting Height would be Zero which won't be able to form a ∆ .

6 0

3 years ago

Help me plz...

cestrela7 [59]

The 3 inside angles of a triangle need to add up to 180 degrees.

You have two angles of 104 and 36.

A = 180 - 104 - 36 - 40

The answer is 40

4 0

3 years ago

Read 2 more answers

Select Parameter or Statistic to classify each statement.

REY [17]

Answer:

Step-by-step explanation:

A parameter describes a population, and a statistic describes a sample.

The first one is a statistic. A sample was surveyed.

The second one is a parameter. It describes the entire soccer team.

The third one is a statistic. A sample was surveyed.

The fourth one is a parameter. It describes the entire golf team.

6 0

3 years ago

In order to prepare for your summer bash, you go to the supermarket to buy hamburgers and

timofeeve [1]

The complete question is:

In order to prepare for your summer bash, you go to the supermarket to buy hamburgers and chicken. Hamburgers cost $2 per pound and chicken costs $3 per pound. You have no more than $30 to spend. You expect to purchase at least 3 pounds of hamburgers.

Write a system of inequalities to represent this situation.
Graph the system of inequalities on the grid.
Give three possible combinations for buying hamburgers and chicken for your summer bash.

Justify your answers

Answer:

A) System of inequalities:

2x + 3y ≤ 30

x ≥ 3

x ≥ 0

y ≥ 0

B) Graph: see the picture attached

C) Three possible combinations:

3 pounds of hamburgers and 8 pounds of chicken

3 pounds of hamburgers and 0 pounds of chicken

15 pounds of hamburgers and 0 pounds of chicken

Explanation:

A) Write the system of inequalities to represent this situaction.

1. Variables:

x: number of pound of hamburgers
y: number of pound of chicken

2. Costs:

x pounds of hamburgers at $2 per pound: 2x
y: pounds of chicken at $3 per pound: 3y

total cost: 2x + 3y

3. First constraint:

You have no more than $ 30 to spend: means that the cost of what you buy can be at most (less than or equal to) $ 30.

2x + 3y ≤ 30

4. Second constraint:

You expect to purchase at least 3 pounds of hamburgers: means that the number of pounds of hamburgers may be greater than or equal to 3.

x ≥ 3

5. Additional constraints:

Both, x and y cannot be negative: x, y ≥ 0

6. System of equations:

2x + 3y ≤ 30

x ≥ 3

x ≥ 0

y ≥ 0

B) Graph 

You have to graph all the constraints in a x-y coordinate system.

1. To graph 2x + 3y ≤ 30 graph the line 2x + 3y = 30

Choose the y-intercept and x-intercept.

x = 0 ⇒ 3y = 30 ⇒ y = 10 ⇒ point (0, 10)

y = 0 ⇒ 2x =30 ⇒ x = 15 ⇒ point (15, 0)

With two points you can draw the line

Clear y: y ≤ 10 - 2x/3. Since, the symbol is ≤ you shade the region below the line, and the line is included, so you draw it as as solid line.

2. To graph x ≥ 3 just draw the vertical line x = 3 and shade the region to the right of it. The points of the line are included (solid line).

3. The constraints x ≥ 0 and y ≥ 0 mean that the region is restricted to the first quadrant (including the positive axis).

4. The feasible solutions are the set of points inside the common regions (intersection).

With all that information the graph is the one attached. The feasible solutions is the region defined by the triangle with vertices (3,8), (3,0), and (15,0).

C) Give 3 possible combinations.

You can pick any three points inside the region, as long as the coordinates are integer numbers. For instance the 3 vertices are solutions:

(3, 8) ⇒ 3 pounds of hamburgers and 8 pounds of chicken

(3,0) ⇒ 3 pounds of hamburgers and 0 pounds of chicken

(15,0) ⇒ 15 pounds of hamburgers and 0 pounds of chicken

You could also prove that (5,4), 5 pounds of hamburgers and 4 pounds of chicken meet, the inequalities.

This is how you prove it:

5 ≥ 0
5 ≥ 3
4 ≥ 0
2(5) + 3(4) = 10 + 12 = 22 ≤ 30

And you can do the same for any pairs to verify whether they are solution or not.

7 0

3 years ago