Penny received an unexpected $5,000.00 gift from a distant relative. She invests it
1 answer:
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Answer: ŷ = 0.07X + 5.2
Step-by-step explanation:
Given the following :
Number of citations 5 - 7.5 - 10 - 15 - 20
Outputs Residuals 3 - - 6 - - 10 - 5 - - 6
Using the online regression calculator :
Line of best fit is represented by the equation:
ŷ = 0.06897X + 5.2069
ŷ = 0.07X + 5.2
From the line equation:
y = mx + c
With 0.07 = slope of gradient(m)
Intercept (c) = 5.2 (point where the line of best fit intersect the y_axis
x and y are values of x and y respectively
Answer:
correct option is d. $242.81
Step-by-step explanation:
given data
APR = 25.5% = = 2.125
paid = $3,729
solution
we get here finance charge on the 1st month by multiplying 3,729 and now adding it to existing balance
so we get finance charge for the second and third months similarly as
APR ÷ 100 = = 0.02125
so 1st
= $3,729 × 0.02125
= 79.25
and
$3,729 + $79.25 = $3808.24
so for next
= $3808.24 × 0.02125
= 80.93
and
$3808.24 + $80.93 = $3889.17
so for next
= $3889.17 × 0.02125
= 82.64
and
$3889.17 + $ 82.64 = $3971.81
so
finance charge = 3971.81 - 3729
finance charge = 242.81
so correct option is d. $242.81
Answer:
Step-by-step explanation:
In this problem, we have the following linear equations:
y=3x+5
y=ax+b
We know that a linear equation is an equation for a line. In a system of linear equations, two or more equations work together.
1. What values for a and b make the system inconsistent?
A system is inconsistent if and only if the lines are parallel in which case the system has no solution. This is illustrated in the first Figure bellow. Two lines are parallel if they share the same slope. So, the system is inconsistent for:
a=3
for any value of b
2. What values for a and b make the system consistent and dependent?
A system is consistent if and only if the lines are the same in which case the system has infinitely many solutions. This is illustrated in the second Figure bellow. So, the system is consistent and dependent for:
a=3 and b=5
