20000 ÷(1+4,75%)^20
=20000 ÷ 1,0475^20
=7905,86
You have to deposit $790586 today.
Answer:
Use point slope form, by finding the slope between two of the points given on the line you can then input it with one of the points into the formula. Then simplify to convert to slope-intercept form. You can then graph it easily. After which, you can convert to standard form by getting the variables to one side. Be sure in standard form to clear negatives x may have or any fractions x or y may have through multiplication.
Step-by-step explanation:
To write an equation for linear equations, we use one of three forms: standard, slope intercept, and point slope. Slope intercept and point slope are the most common. After we choose our form, we need to find the information required for that form. Point slope is easiest since it requires the slope/rate of change and any point on the line.
Point slope:
We must find the slope using the slope formula.
Slope:
We substitute and
We will substitute and .
We can simplify to get slope intercept form:
This is the slope intercept form. We can graph it by finding 3 on the y-axis. Plot a point there. Then move up two units and to the right three units. Plot a point. Connect the points.
To convert to Standard Form, we will rearrange the equation with x and y on the same side.
This is the standard form.
Answer:
Explanation contains the proof.
Step-by-step explanation:
.
.
We want to show that . So we are asked to show that there exist integer
So what is ?
.
.
So back to ....
(I use foil to get this)
Factoring out 8 gives us:
Now I could have factored some 8's out of 25. There are actually three 8's in 25 with a remainder of 1.
We have shown that there is integer .
The integer I found that is n is 8km+5k+5m+3.
Therefore .
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Answer:
y = 4(x - 2)² + 48
Step-by-step explanation:
Given
y = 4x² - 16x + 64
Using the method of competing the square
Factor out 4 from 4x² - 16x
y = 4(x² - 4x) + 64
add/ subtract ( half the coefficient of the x- term)² to x² - 4x
y = 4(x² + 2(- 2)x + 4 - 4 ) + 64
= 4(x - 2)² - 16 + 64
= 4(x - 2)² + 48
Answer:
A
Step-by-step explanation:
If you multiply the coefficient matrix by the variable matrix, you get the part of the system of the equations left of the equal sign.
Choice A gives you the correct answer.