Answer:
(1,2) and (5,4)
Step-by-step explanation:
Hello There!
I had made a graph to make it easier to understand.
The points given to us are represented by the green points
The points that would make a rectangle with lines that are parallel with the x axis would be (1,2) and (5,4) (represented by the red points)
As you can see the points added had created a rectangle with sides that are parallel with the x axis
This meets all of the requirements therefore the other two vertices would have the points (1,2) and (5,4)
Answer:
- $5 bills x 5, $1 bills x 10, quarters x 16, dimes x 9
Step-by-step explanation:
- $5 bills = x, total = 5x
- $1 bills = 2x, total = x
- Quarters = 3x + 1, total = 0.25(3x + 1)
- Dimes = 3x + 1 - 7= 3x - 6, total = 0.1(3x - 6)
<u>Equation below as the sum, solve for x:</u>
- 5x + 2x + 0.25(3x + 1) + 0.1(3x - 6) = 39.9
- 7x + 0.75x + 0.25 + 0.3x - 0.6 = 39.9
- 8.05x - 0.35 = 39.9
- 8.05x = 40.25
- x = 40.25/8.05
- x = 5
<u>Number of each bill and coin:</u>
- $5 bills = 5
- $1 bills = 2*5 = 10
- Quarters = 3*5 + 1 = 16
- Dimes = 3*5 - 6 = 9
Answer:
- f(t) = 100·1.845^(t/10)
- $1025.15
Step-by-step explanation:
(a) The given numbers can be put directly into the form ...
... f(t) = (initial value) · (ratio)^(t/(time to achieve that ratio))
Here, we have an intial value of $100, and a ratio of $184.50/$100 = 1.845. The time to achieve that multiplication is 10 years (1967 to 1977). So, the equation can be written ...
... f(t) = 100·1.845^(t/10)
(b) You want to find f(38).
... f(38) = 100·1.845^(38/10) = 100·1.845^3.8 ≈ 1025.15 . . . dollars
There are ~48 questions on the PSAT for the math sections.
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