Answer:
Step-by-step explanation:
We have been given that your friend borrows $100 from you and promises to pay you back $109 in 8 months.
We will use simple interest formula to solve our given problem.
, where,
A = Amount after t years,
P = Principal amount,
r = Annual interest rate in decimal form,
t = Time in years.
Convert 8 months to year:
Convert to percent:
Therefore, you are charging 12% APR to you friend.
11x+3y=103 and y=3x+1.
11x+3(3x+1)=103 -----> plug in (3x+1) for y in the first equation. You will want to distribute the 3 to the 3x+1 to get something that looks like:
11x+9x+3=103 ------> now you want to combine like terms
20x+3=103 ---> subtract 3 from both sides
20x=100 ----> divide both sides by 20
x=5
y=3(5)+1 ---> I like to plug in this to the equation that already has y isolated. 3*5 is 15, add 1 and you find that y=16.
(5, 16) will be your final answer (:
18 i looked it up hope its right
RemarkThe very first thing you should do with a question like this is get the graph. Then you will know what you are looking for. I have provided you with such a graph. Your table should center around -2 ≤ x ≤ -1
So let's set up a table and see what we get. Start with y = x + 5
x x + 5
-1 4
-1.25 3.75
-1.5 3.5
-1.75 3.25
-2 3
Do the same thing for - (3)^x + 4 See below to see how this is entered your calculator
x -(3)^x + 4
-1 3.66
-1.25 3.75
-1.5 3.8
-1.75 3.85
-2 3.89
ConclusionWhen x = - 1.25 y = 3.75 for both graphs. <<<< Answer
FootnoteYou may not be familiar with how to put this in your calculator. This is the way I would do it. I'm only doing it for y = -(3^x) + 4
Let x = - 1.25
3
^ Note your calculator might have x^y or y^x. You'll have 1 of the three.
1.25
+/-
=
X
1
+/-
= At this point you should have -0.25
+
4
=
That gives you 3.75
Difference of two squares is of the form (a + b)(a - b) or vice-versa. Here, a = -5x and b = 3.
(-5x - 3)(-5x + 3)
Answer: 3
