Answer:
Ordinary annuity
Step-by-step explanation:
Given : ABC Insurance offers an annuity with 4.5% APR for the next 5 years. You decide to invest $1000 each year into this account.
To find : What type of annuity is this?
Solution :
Annuity is the form of insurance in which some of the money is paid each year to secure for future.
There are two types of annuity:
Ordinary annuity - In this annuity the payment is made at the end of each period over a fixed length of time. Also in this annuity payments are made monthly, quarterly, semi-annually or annually.
Annuity due - is the opposite of ordinary annuity as in this the payment is made at the beginning of each period.
In the given situation the annuity is ordinary annuity because the investment is done each year for 5 years.
Answer:
115
Step-by-step explanation:
The angle of a straight line is 180°. so all you have to do is subtract 65 from 180 and get 115.
Answer:
x=2.5 cups are needed for 2 pies
Step-by-step explanation:
4/5 or 0.8
Fraction form: 4/5x = 2 x= 5/4
Decimial form: 0.8x = 2 x = 2.5
Mixed number form: 2 1/2
Hope that helped :)
Did somebody say you're supposed to draw the graph of the equation ?
Is that the assignment ?
OK. Just like every other equation you need to graph, get it in the
standard form, where 'y' is all alone on one side, and everything else
is on the other side. When you do that, you'll be able to spot the slope
and y-intercept of the line, or get some points, or whatever you want.
4y + 12 = 0
Subtract 12 from each side: 4y = -12
Divide each side by 4: y = -3
There's the equation you can handle.
The y-intercept is -3, and the slope is zero.
Would you like some points ? OK. Pick a couple of values for 'x',
and calculate the value of 'y' for each one:
The first value I picked for 'x': x = 72
The equation is y=-3, so when x=72, y=-3. The point is (72, -3)
The second value I picked for 'x' is: x = 1
The equation is y=-3, so when x=1, y=-3. The second point is (1, -3).
The third value I picked for 'x' is 4 billion.
The equation is y=-3, so when x=4 billion, y=-3. The third point is (1, -3).
Do you see what's going on here ? Your original equation didn't even
have 'x' in it, so we could tell right away that when the graph is drawn,
the value of 'y' at every point can't depend on 'x'.
When we simplified the equation and got it in standard form, we found that
the slope of the graph is zero. That means the graph doesn't rise or fall ...
it's just a horizontal line. Sure enough, the height of points on the line
doesn't depend on 'x'. The value of 'y' at every point on the line is -3 .
In the given figure we can determine the coordinate of point M from the graph, we get:
We can also determine the coordinates of point N as:
Now, to determine the length of segment MN, we need to subtract the x-coordinate of M from the coordinates of N, we get:
Subtracting the fractions we get:
Now, to obtain the length of AB we need to subtract the x-coordinate of A from the x-coordinate of B.
The coordinates of A are determined from the graph:
The coordinates of B are:
Therefore, the length of segment AB is:
Now we do the same procedure to determine the segment of CD. The coordinates of C are:
The coordinates of D are:
Therefore, CD is:
Now, we determine MN as half the sum of the bases. The bases are AB and CD, therefore:
Therefore, we have proven that the median of a trapezoid equals half the sum of its bases.
