Answer:

Step-by-step explanation:
The equation for a linear function found from two given points is: y = mx + b, where m = slope and b = y-intercept. You can find slope from slope formula:

Given points (5, -4) and (-3, 2):
Using the value m =
and the point (5, -4) for x and y:
y = mx + b
-4 = 5(-3/4) + b
-4 = -15/4 + b
-4 = -3.75 + b
-1/4 = b

Answer:
D makes an annuity. for annuity u have to make equal deposit regularly. so i think its D
Answer:

Step-by-step explanation:
Given.
Two points are given.
and 
An exponential function is in the general form.
-------(1)
We know the points
and 
put the first point value in equation 1


--------(2)
put the second point value in equation 1
----------(3)
Put the a value from equation 2 to equation 3


![b^{4} = 16\\b=\sqrt[4]{16} \\b=2](https://tex.z-dn.net/?f=b%5E%7B4%7D%20%3D%2016%5C%5Cb%3D%5Csqrt%5B4%5D%7B16%7D%20%5C%5Cb%3D2)
Put the b value in equation 2


Put the a and b value in equation 1

So, the exponential function that passes through the points
and
are
.
Answer:
r = 3
Step-by-step explanation:
x^2 + 6x + y^2 - 8y = - 16
Take half the linear term and square it.
x^2 + 6x + (3)^2 + y^2 - 8y + (-4)^2 = - 16
Add the squared amounts to the right.
x^2 + 6x + 9 + y^2 - 8y + 16 = - 16 + 9 + 16
Combine on the right.
x^2 + 6x + 9 + y^2 - 8y + 16 = 9
Represent the 2 quadratics as perfect squares.
(x + 3)^2 + y - 4)^2 = 9
The radius is the square root of 9 which is 3