Answer:
$162
Step-by-step explanation:
Interest (non-compounding) = principal x rate x time (in years)
I = 900(.06)(3)
I = 162
1.) Factor 9u^2-12u
2.) Cancel any common factors (in bold will be the terms eliminated)
Final answer is:
3u-4
Therefore, the answer is
C. 3u-4
Answer:
Step-by-step explanation:
The number of months is our unknown, which we will call x. y is the amount she saves. Representing the fact that she puts $10 away per month is 10x. If she puts $300 down initially and then adds 10 per month to that, the first equation is
y = 10x + 300
The same goes for the second option. Putting $30 away every month is represented as 30x, and if she is starting with 100 and adding 30 a month to it, the second equation is
y = 30x + 100
We are being asked to find the number of months where the amount Tina saves is equal. Since y is the amount Tina has saved and we want to know when these amounts are equal, we will set the equations equal to each other and solve for x, the number of months.
10x + 300 = 30x + 100 and
200 = 20x so
x = 10. After 10 months, Tina will have saved the same amount of money regardless of which option she has chosen. This is only true for 10 months though. After that, one will show more of a savings than the other.
It's asking "what are the set of y coordinate values for all of the points on the red line?"
In this case, all of the points on this red line have a y coordinate of y = 6. Two such points on this red line are (0,6) and (1,6)
So that's why the only answer is choice D) 6. This is the only number in the range. The range is the set { 6 }. No other number is in the range, so no other choice A, B, C, E, F are true
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Answer: Choice D) 6
(note: none of the other boxes are checked off)
Answer:
∠ 3 = 60°
Step-by-step explanation:
∠ 1 and ∠ 2 are same- side interior angles and sum to 180° , then
4x + 36 + 3x - 3 = 180
7x + 33 = 180 ( subtract 33 from both sides )
7x = 147 ( divide both sides by 7 )
x = 21
Then
∠ 2 = 3x - 3 = 3(21) - 3 = 63 - 3 = 60°
∠ 2 and ∠ 3 are alternate angles and are congruent, so
∠ 3 = 60°