<u>Answer
</u>
AB=21
<u>Solution
</u>
In the triangle ABC two lines are parallel to side AC.In a triangle a line passing through two side and it is parallel to third side,then this line divides two side in equal ratio.
Here we take any of the parallel line, passing through AB and AC, and parallel to BC.
So we can write,
=
8x+1=6x+2.5x
x=1/0.5
x=2
Therefore AB = 6x+2x+1+2x =10x+1=21
Double the second equation (multiply by 2)...
2(x-2y=10)
2x-4y=20
Bring in the second equation and add the equations:
(2x-4y=20)
+ (5x+4y=8)
7x=28
x=4
Plug in x into one of the equations to get y...
(4)-2y=10
-2y=6
y=-3
(6,-3)
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Answer:
C. 16 months faster
Step-by-step explanation:
You can solve this using a Financial calculator( TI BA II plus in this case)
First, find number of months if recurring monthly payment is $38.50;
Amount borrowed ; PV = -950
Monthly rate ; I/Y = 7.2%/12 = 0.6%
Monthly payment; PMT = 38.50
Future value ; FV = 0
Total duration; press CPT, N = 26.785 OR 27 months
Next, find number of months if recurring monthly payment is $93;
Amount borrowed ; PV = -950
Monthly rate ; I/Y = 7.2%/12 = 0.6%
Monthly payment; PMT = 93
Future value ; FV = 0
Total duration; press CPT, N = 10.573 OR 11 months
Difference = 27 -11 = 16
Therefore, she would be able to pay off the loan 16 months faster.
Answer:
a) CI = ( 5,1 ; 5,7 )
b) SE = 0,1
Step-by-step explanation:
a) Sample random n = 100
Mean = μ = 5,4
Standard deviation s = 1,3
CI = 99 % α = 1 % α = 0,01 α/2 = 0,005
z(c) for 0,005 is from z-table z(c) = 2,575
z(c) = ( X - μ ) /s/√n CI = μ ± z(c) * s/√n
CI = 5,4 ± 2,575* 1,3/10
CI = 5,4 ± 0,334
CI = ( 5,1 ; 5,7 )
b) SE = Standard deviation / √n
SE = 1,3 /10 SE = 0,1
We can support that with 99 % of probability our random variable will be in the CI.
