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4 years ago

9

Laura borrowed $175,000 at a rate of 5% simple interest for 15 years. How much interest will Laura pay?

1 answer:

oksian1 [2.3K]4 years ago

7 0

Answer:

Im pretty sure its B...

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Is the product of 2 perfect squares always a perfect square?

nexus9112 [7]

<span> The product of two perfect squares is a perfect square.

Proof of Existence:
Suppose a = 2^2 , b = 3^2 [ We have to show that the product of a and b is a perfect square.] then
c^2 = (a^2) (b^2)
= (2^2) (3^2)
= (4)9
= 36
and 36 is a perfect square of 6. This is to be shown and this completes the proof</span>

3 0

3 years ago

The table shows a linear relationship between x and y

irga5000 [103]

We have been given a table that shows a linear relationship between x and y. We are asked to find the rate of change change of y with respect to x.

To solve our given problem, we will find the slope of the line passing through the given points.

$m=\frac{y_2-y_1}{x_2-x_1}$

Let us find slope of line using points $(-20,96)$ and $(-2,15)$ .

$m=\frac{15-96}{-2-(-20)}$

$m=\frac{-81}{-2+20}$

$m=\frac{-81}{18}$

$m=-4.5$

Therefore, the rate of change of y with respect to x is $-4.5$ .

3 0

3 years ago

A guitar string is plucked at a distance of 0.6 centimeters above its resting position and then released, causing vibration. The

liubo4ka [24]

Answer:

The equation that represents the motion of the string is given by:

$y =Ae^{-kt}\cos(2\pi ft)$ .....[1] where t represents the time in second.

Given that: A = 0.6 cm (distance above its resting position) , k = 1.8(damping constant) and frequency(f) = 105 cycles per second.

Substitute the given values in [1] we get;

$y =0.6e^{-1.8t}\cos(2\pi 105t)$

or

$y =0.6e^{-1.8t}\cos(210\pi t)$

(a)

The trigonometric function that models the motion of the string is given by:

$y =0.6e^{-1.8t}\cos(210\pi t)$

(b)

Determine the amount of time t that it takes the string to be damped so that $-0.24\leq y \leq0.24$

Using graphing calculator for the equation

$y =0.6e^{-1.8x}\cos(210\pi x)$

let x = t (time in sec)

Graph as shown below in the attachment:

we get:

the amount of time t that it takes the string to be damped so that $-0.24\leq y \leq0.24$ is, 0.5 sec

4 0

3 years ago

Place the following objects in order from greatest to least gravitational force. Explain your answer.

kozerog [31]

well when thinking of gravity you have to think of the size and mass of the object so,

The sun (largest and most mass)

Earth

Earth's moon

Discover satellite (cause it's tiny and light compared to the sun!)

7 0

3 years ago

An Olympic swimming pool is 50 metres long by 25 metres wide. Rebecca draws a scale diagram of it to a scale of 1 cm to 5 m. How

evablogger [386]

Answer:

10

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

Scaled length of the pool = 50 / 5 = 10cm

7 0

3 years ago