Answer:
$5952
Step-by-step explanation:
The principal of $4800 will become after 24 months at an interest of 12% APR,
dollars.
Now, the monthly payment is $135.57 for 24 months.
So, the payment by installment is $(135.57 × 24) = $3253.68.
Therefore, the down payment was $(5952 - 3253.68) = $2698.32.
Therefore, the total paid for the motorcycle including the down payment was $5952. (Answer)
Answer:
34.98 square units.
Step-by-step explanation:
It is given that DEF is a triangle, EF=10, DF=7 and DE=12.
Information of sides of triangle is relevant to calculating area.
We should use Heron's formula.
According to Heron's formula, the area of triangle is
where,
For triangle DEF, let a=10, b=7 and c=12.
Now,
Area of triangle is
Therefore, the area of triangle DEF is 34.98 square units.
Answer:
(0 + m)/2, (0 + n)/2.
Step-by-step explanation:
The x coordinate of the midpoint must be halfway between the x coordinates of A and B, and the y coordinate must be found in the same way.
So the midpoint is (0 + m)/2, (0 + n)/2.
The value of k is -6
Step-by-step explanation:
The general form of the quadratic equation is y = ax² + bx + c
- The roots of the equation is the values of x when y = 0
- ax² + bx + c = 0, is used to find the roots
∵ 2x² + 11x = -k
- Add k to both sides
∴ 2x² + 11x + k = 0
∵ The roots of the quadratic equations is the values of x when y = 0
∵
is a root of the equation
- Substitute x by
in the equation above to find k
∵ 2(
)² + 11(
) + k = 0
∴ 2(
) +
+ k = 0
∴
+
+ k = 0
- Add the like terms
∵
+
=
= 6
∴ 6 + k = 0
- Subtract 6 from both sides
∴ k = -6
The value of k is -6
Learn more:
You can learn more about the quadratic equations in brainly.com/question/8196933
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