Point J (-2,1) and point K (4,5) form line segment JK. For the point P that partitions JK in the ration 3:7, what is the y- coor
2 answers:
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Answer:
See below and attached
Step-by-step explanation:
<u>As per the graph we have:</u>
- Coordinates of JL are J(-7, 4), L(-4, 0)
- Coordinates of MP are M(-10, 8), P(-1, -4)
<u>Slope formula is:</u>
- m = (y₂ - y₁)/(x₂ - x₁)
<u>Slope of JL:</u>
- (0 - 4)/(-4-(-7)) = - 4 / 3
<u>Slope of MP:</u>
- (-4 -8)/(-1- (-10)) = -12 / 9 = - 4/3
Answer:
The Amount invested at 7% interest is $12,855
The Amount invested at 6% interest = $1,102
Step-by-step explanation:
Given as :
The Total money invested = $13,957
Let The money invested at 7% = = $A
And The money invested at 6% = = $13957 - $A
Let The interest earn at 7% =
And The interest earn at 6% =
-
= $833.73
Let The time period = 1 year
Now,<u> From Simple Interest method</u>
Simple Interest =
Or, =
Or, =
And
=
Or, =
∵ -
= $833.73
So, -
= $833.73
Or, 7 A - 6 (13,957 - A) = $833.73 × 100
Or, 7 A - $83,742 + 6 A = $83373
Or, 13 A = $83373 + $83742
Or, 13 A = $167,115
∴ A =
i.e A = $12,855
So, The Amount invested at 7% interest = A = $12,855
And The Amount invested at 6% interest = ($13,957 - A) = $13,957 - $12,855
I.e The Amount invested at 6% interest = $1,102
Hence,The Amount invested at 7% interest is $12,855
And The Amount invested at 6% interest = $1,102 . Answer