A large cooler full of water is being drained. The relationship between the amount of water in the cooler in liters and the numb
1 answer:
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Answer:
$4194.39
Step-by-step explanation:
Two equal payments one after 3 months and another after 9 months respectively are used to settle a debt of $6000 due today.
We have to calculate the size of the equal payments at 6% compounded quarterly.
Let the amount be $x.
So, $(x + x) = $2x will be the total sum after interest.
Therefore, $6000 will be charged for 3 months at 6% interest quarterly and $(6000 - x) will be charged for (9 - 3) = 6 months at 6% interest quarterly.
The equation we can write is
⇒ 6000 × 1.06 + ( 6000 - x)(1.1236) = 2x
⇒ 3.1236x = 6000 × 2.1836
⇒ x = $4194.39 (Answer)
Answer:
(3,-2)
Step-by-step explanation:
Part A:
1) <em>Isolate x in x - y = 5</em>
x = y + 5
2) <em>Substitute that x into 4x+y=10</em>
4(y + 5) + y = 10
4y + 20 + y = 10
5y = 10-20
5y = -10
y = -2
3) Use y to solve for x:
x = -2 + 5
x = 3
Part B:
<em>Verify using results from Part A</em>
3 - (-2) = 5
4(3) + (-2) = 12 - 2 = 10
Part C:
<em>Just graph the equations and see where they intersect, which is exactly (3,-2). We got that in Part A and B</em>
