Use an equation:
x^9/x^6=64
x^(9-6)=64
x^3=64
x=4
note that x^9 means "x to the power of 9", same with other ones
the number is 4.
Answer:
The amount in the first account is $5,700
The amount in the second account is $1,300
Step-by-step explanation:
Let the mount invested in the first account be 
and the one invested in the second account be 
.
Then the total principal is 
---->(1)
The interest in the first account is 
The interest in the first account is 
The total interest for the year is 262.00.
This implies that:
---->(2)
We solve the two equations simultaneously to get:
and 
I think the answer is C, but I'm not sure.
You've got five different problems in this photo ... four on top and the word problem on the bottom ... and they're all exactly the same thing: Taking two points and finding the slope of the line that goes through them.
In every case, the procedure is the same.
If the two points are (x₁ , y₁) and (x₂ , y₂) , then
the slope of the line that goes through them is
Slope = (y₂ - y₁) / (x₂ - x₁) .
This is important, and you should memorize it.
#1). (8, 10) and (-7, 14)
Slope = (14 - 10) / (-7 - 8) = 4 / -15
#2). (-3, 1) and (-17, 2)
Slope = (2 - 1) / (-17 - -3) = (2 - 1) / (-17 + 3) = 1 / -14
#3). (-20, -4) and (-12, -10)
Slope = [ -10 - (-4) ] / [ -12 - (-20) ]
=========================================
The word problem:
This question only gives you one point on the graph,
and then it wants to know what's the slope ?
What are you going to do for another point ?
A "proportional relationship" always passes through the origin,
so another point on the line is (0, 0) .
Now you have two points on THAT line too, and you can easily
find its slope.
