Answer:
The area of the triangle is
.
Step-by-step explanation:
The area <em>A</em> of a triangle is given by the formula
where <em>b</em> is the base and <em>h</em> is the height of the triangle.
From the graph, we can see that the base is 3 units and the height is 4 units. Therefore, the area of the triangle is

Answer:
0.078125.
Step-by-step explanation:
This is a geometric sequence with first term a1 = 20 and common ratio r = 10/20 = 5/10 = 0.5.
nth term = a1 r^(n -1) so here:
9th term = 20(0.5)^(9-1)
= 20(0.5)^8
= 0.078125.
Answer:
The balance is $5989.5
Step-by-step explanation:
The savings plan balance is given by the following formula:
![A = P*\left[\frac{(1 + \frac{APR}{n})^{n*Y} - 1}{\frac{APR}{n}}\right]](https://tex.z-dn.net/?f=A%20%3D%20P%2A%5Cleft%5B%5Cfrac%7B%281%20%2B%20%5Cfrac%7BAPR%7D%7Bn%7D%29%5E%7Bn%2AY%7D%20-%201%7D%7B%5Cfrac%7BAPR%7D%7Bn%7D%7D%5Cright%5D)
In which A is the savings plan balance, P is the monthly payment, APR is the annual percentage rate(decimal), n is the number of payments per year and Y is the number of years.
In this problem, we have that
Find the savings plan balance after 3 years with an APR of 7% and monthly payments of $150.
So we have to find A when
.
So
![A = P*\left[\frac{(1 + \frac{APR}{n})^{n*Y} - 1}{\frac{APR}{n}}\right]](https://tex.z-dn.net/?f=A%20%3D%20P%2A%5Cleft%5B%5Cfrac%7B%281%20%2B%20%5Cfrac%7BAPR%7D%7Bn%7D%29%5E%7Bn%2AY%7D%20-%201%7D%7B%5Cfrac%7BAPR%7D%7Bn%7D%7D%5Cright%5D)
![A = 150*\left[\frac{(1 + \frac{0.07}{12})^{12*3} - 1}{\frac{0.07}{12}}\right]](https://tex.z-dn.net/?f=A%20%3D%20150%2A%5Cleft%5B%5Cfrac%7B%281%20%2B%20%5Cfrac%7B0.07%7D%7B12%7D%29%5E%7B12%2A3%7D%20-%201%7D%7B%5Cfrac%7B0.07%7D%7B12%7D%7D%5Cright%5D)

The balance is $5989.5
Answer:
The required expression for total number of points you earn is
.
Step-by-step explanation:
Consider the provided information.
Let c represents the coin and p represents the points before getting star.
You earn 10 points for every coin you collect in a video game.
......(1)
You find a star that triples your score.

Now the total number of points you earn is(P):

Substitute the value of p from equation 1.


Answer: The equation is y = 3x + 3
Step-by-step explanation: