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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 values in the table represent a linear function. How does the value of y change in relation to a change in the value of x?

Verizon [17]

if x is changed by 2 , the y changes by +3, Option B is the correct answer.

<h3>What is the equation of a Linear Function ?</h3>

The equation of a Linear Function is given by

y = mx +c

here m is the slope , c is the intercept on the y axis

The data is given in the table

To determine the relation , a function needs to be established between the variables.

m = ( y2 -y1 )/(x2-x1)

m = (-7 +10) /(-2+4)

m = 3 / 2

y = (3/2)x + c

at x = 0 , y= -4

-4 = 0 + c

c = -4

The function is

y = (3/2) x - 4

if x is changed by 2 , the y changes by +3

Therefore Option B is the correct answer.

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1 year ago

Write an equation that represents the line

emmasim [6.3K]

Answer:

$y = \frac{3}{2}x +2$

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3 years ago

Read 2 more answers

In Figure 5.26 to the right, ABCD<br>is asquare. Find the measure of<br><ABD

AVprozaik [17]

Answer:

∠ABD = 45°

Step-by-step explanation:

Since ABCD is a square, its diagonals (Line BD) bisect the angles of the corners of the square (∠ABC) into two equal angles (∠ABD and ∠CBD). The angle of each corner is 90° so you can find ∠ABD.

2(∠ABD) = 90°

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2 years ago

The bottoms of two vertical poles are 12 feet apart and are on a region of flat ground. One pole is 6 feet tall and the other is

snow_tiger [21]

Answer:

The length of the wire is 15 ft.

Step-by-step explanation:

The solution of this exercise comes from an application of the Pythagorean theorem. The explanation here is complemented with the figure attached.

In the figure the segments AB and CD represents the vertical poles, where the length of AB is 6 ft and the length of CD is 15 ft. We want to find the length of the segment BD, that represents the stretched wire. The length of the segment AC is 12 ft, which is the distance between the poles.

If we draw an imaginary line from A perpendicular to DC, we obtain a rectangle ABEC, and a right triangle BED. Then, the length of BE is 12 ft. Moreover, the length of CE is 6 ft, because is equal to the length of AB. Hence, the length of DE is 9 ft, because DE = DC-EC.

As we want to find the length of the hypotenuse BD of the right triangle BED, and we already have the lengths of the other two sides, we only need to apply the Pythagorean theorem. This is

$BD^2 = BE^2 + ED^2 = 12^2+9^2= 144+81=225.$