Which of the quadratic functions has the narrowest graph? y = –2x2 y=-1/2x^2 y = –4x2 y=1/7x^2
1 answer:
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Answer:
1/3
Step-by-step explanation:
I used my calculator, if u gonna say , a calculator has no fractions on it mine does
The linear equation B. y = -x +7.5 best describes the given model. The mood rating for a student that spent 5.5 hours online would be 2.
Step-by-step explanation:
Step 1; We plot the points that fall on the line and that lie on an exact x or y coordinate. The following 4 points are plotted (0.5, 7), (2, 5.5), (2.5, 5) and (3.5, 4). We substitute the values of x in the given equations to see which best describes the model.
Step 2; When y = x + 7.5, we get the coordinates as (0.5, 8), (2, 9.5), (2.5, 10) and (3.5, 11).
When y = -x + 7.5, the coordinates are (0.5, 7), (2, 5.5), (2.5, 5) and (3.5, 4).
When y = + 7.5, the coordinates are (0.5, 7.25), (2, 6.5), (2.5, 6.25) and (3.5, 5.75).
So equation 2 has the closest values to the actaul graph.
Step 3; By substituting x = 5.5, y = -(5.5) + 7.5 = 7.5 - 5.5 = 2.
Answer:
amount in 30 years is $1787.0977
interest is $1387.0977
Step-by-step explanation:
Given data
principal amount = $400
rate = 5 % = 0.05
time period = 30 years
to find out
amount in 30 years and total interest
Solution
we know its interest compounded monthly so n = 12
and interest compounded monthly formula is
amount = principal ............1
put the value principal , n , rate and time in equation 1
we get amount
amount = 400
amount = 1787.0977
amount in 30 years is $1787.0977
and interest = amount - principal ............2
put the value amount and principal in equation 2
we get interest = $1787.0977 - $400
interest =$1387.0977