By the method of writing the obvious answer,
(3, -2)
it adds 11 to each number, 4+11+=15, 15+11=26, 26+11=26 and it keeps going
Answer:
17. 10
Step-by-step explanation:
1. A segment going from an endpoint to the midpoint of the original segment is going to be 1/2 of the original segment.
AM = 1/2 AB
2. You know that the length of AM is 5, so plug that in a solve algebraically
5 = 1/2 AB
(2)5 = (2) 1/2 AB
10 = AB
Answer:
18. 30
Step-by-step explanation:
The sum of two segments spanning from the original segment's midpoint to the end equals the length of the original segment. Because the midpoint is exactly in the middle of the original segment, the two other segments should equal each other.
1. You need to first find the length of the two segments by setting them equal to each other and plugging in their equations.
5x = x+12
2. Solve algebraically
5x = x+12
4x = 12
x = 3
3. Plug z into the equations for each segment and add them together.
RM = 5(3) MS = (3)+12
RM = 15 MS = 15
15+15 = 30
<h3>
Answer: 5</h3>
=========================================================
One method is to plot the points P(3,6) and Q(7,3) on the same xy grid. Plot a third point R at (3,3). See the diagram below.
A right triangle forms in which we can find the legs PR = 3 and RQ = 4. The hypotenuse is found through the pythagorean theorem.
a^2+b^2=c^2
3^2+4^2 = c^2
9+16 = c^2
c^2 = 25
c = sqrt(25)
c = 5
This is the length of PQ
-----------------------------------
Or you can use the distance formula which is effectively using the pythagorean theorem just in a slightly different format (though it may not be obvious).

Answer:
amount is 1000 ×
$40762.20 balance of Donna's account will be 1 million dollars when she retires in 40 years
rate 14.97 % when Donna's account will have a balance of 1 million dollars in 40 years when principal is $2500
Step-by-step explanation:
principal = $1000
rate = 8 % = 0.08
to find out
the future value, S(t)
principal when Donna's account will be 1 million dollars when she retires in 40 year
at what rate Donna's account will have a balance of 1 million dollars in 40 years
solution
we know compounded continuously formula i.e.
amount = principal ×
..................1
put the value principal and rate in equation 1 to find amount any time
amount = principal ×
amount = 1000 ×
in 2nd part we have time 40 year and amount 1 million so put rate amount and time in equation 1 to find principal
rt = 0.08 × 40 = 3.2
amount = principal × 
1000000 = principal × 
principal = 1000000 / 
principal = 1000000 / 24.5325302
principal = 40762.20397
so $40762.20 balance of Donna's account will be 1 million dollars when she retires in 40 years
in 3rd part we have amount 1 million and principal $2500 and time 40 year put all these in equation 1 to find rate
amount = principal × 
1000000 = 2500 × 
take ln both side
ln
= ln (1000000 / 2500 )
40 r = ln 400
r = ln (400) / 40
r = 0.149787
so rate 14.97 % when Donna's account will have a balance of 1 million dollars in 40 years when principal is $2500