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3 years ago

Need help please with these questions

Mathematics

1 answer:

Korolek [52]3 years ago

7 0

Answer:

33) $8440

34) $67,964.62

Step-by-step explanation:

33) The interest on 1 for 270 days is ...

... I = Prt = 1×0.09×(270/360) = 0.0675

so the proceeds from a loan with a face value of 1 will be

... 1 - 0.0675 = 0.9325

We want to find the face value of a loan with proceeds of $7870.30, so we need to solve the equation ...

... $7870.30 = P×0.9325

... P = $7870.30/0.9325 = $8440

34) The discount is computed from ...

... I = Prt = 70,000×0.063×(24/52) ≈ 2035.38

Then the amount Smith will pay for the T-bill is ...

... $70,000 -2035.38 = $67,964.62

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The midpoint of AB is M(-5,1). If the coordinates of A are (-4,-5), what are the coordinates of B?

Elenna [48]

<u>ANSWER:</u>

The midpoint of AB is M(-5,1). The coordinates of B are (-6, 7)

<u>SOLUTION: </u>

Given, the midpoint of AB is M(-5,1).

The coordinates of A are (-4,-5),

We need to find the coordinates of B.

We know that, mid-point formula for two points A $(x_{1}, y_{1})$ and B $(x_{1}, y_{2})$ is given by

$M\left(x_{3}, y_{3}\right)=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)$

Here, in our problem, $\mathrm{x}_{3}=-5, \mathrm{y}_{3}=1, \mathrm{x}_{1}=-4 \text { and } \mathrm{y}_{1}=-5$

Now, on substituting values in midpoint formula, we get

$(-5,1)=\left(\frac{-4+x_{2}}{2}, \frac{-5+y_{2}}{2}\right)$

On comparing, with the formula,

$\frac{-4+x_{2}}{2}=-5 \text { and } \frac{-5+y_{2}}{2}=1$

$-4+\mathrm{x}_{2}=-10 \text { and }-5+\mathrm{y}_{2}=2$

$\mathrm{x}_{2}=-6 \text { and } \mathrm{y}_{2}=7$

Hence, the coordinates of b are (-6, 7).

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