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kherson [118]
3 years ago
7

Casseia borrows $1,100 to buy new furniture for her dorm room. If the simple interest rate is 4.5%, how much interest will she h

ave to pay in 3 years?
Mathematics
1 answer:
PtichkaEL [24]3 years ago
3 0

Answer:

Step-by-step explanation:

The formulae for simple interest is PxRxT/100 where P is the principal, R the Rate and T the time. P= 1100 R= 4.5 and T= 3. Therefore 1100×4.5×3/100=148.5. Implies the Simple Interest is $148.5

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A square has a side length of 5 and 1/4 inches what is the area of a square
padilas [110]
Answer: 27.5625 or 27.6

Explanation:
A square has even side lengths so each side equals 5 1/4 or 5.25. So you take two sides and multiply them together. In other words, 5.25•5.25. Then you get roughly 27.6 rounded
7 0
2 years ago
Find the general solution of the given differential equations. Give the largest interval I over which the general solution is de
e-lub [12.9K]
The general solution of <span>y' + 2xy = (x^3) is y(x) = c1e^(-x^2)

The general solution of </span><span>ydx = (y(e^y) - 2x)dy is x = c1/(y(x))^2 + (e^y(x) ((y(x))^2 - 2y(x) + 2)/(y(x))^2
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The general solution of<span> (dP)/(dt) + 2tP = P + 4t - 2 is P(t) = c1e^(t - t^2) + 2</span>
4 0
2 years ago
Guys I need help with these help me please !!
nekit [7.7K]

Answer:

Sequence 1

Step-by-step explanation:

<u>You need to find the difference between term - the nth term.</u>

<u>The difference / nth term has to to -1/2 (-0.5)</u>

Sequence 1:

-6 * -0.5 = 3 * -0.5 = -3/2 (-1.5) * -0.5 = 3/4 (0.75) * -0.5 = -3/8 (-0.375)

Sequence 2:

4 * -2 = -8 *-2 = 16 * -2  = - 32 * -2 = 64

Sequence 3:

-1/3 ÷ 2 = -1/6 ÷ 2 = 12 ÷ 2 = 24 ÷ 2 = 48

Sequence 4:

400 ÷ -2 = -200 ÷ -2 = 100 ÷ -2 = -50 ÷ -2 = 25

The only sequence with a common ratio of -1/2 is Sequence 1.

3 0
3 years ago
The number of days that homes stay on the market before they sell in Houston is bell-shaped with a mean equal to 56 days. Furthe
antoniya [11.8K]

Answer:

D. 8

Step-by-step explanation:

We have been given that the number of days that homes stay on the market before they sell in Houston is bell-shaped with a mean equal to 56 days. Further, 95 percent of all homes are on the market between 40 and 72 days.

As per empirical rule 95% of the data on bell curve lies between 2 standard deviations of mean.

So we can set an equation as:

72-56=2\sigma or

40-56=-2\sigma

16=2\sigma

\frac{16}{2}=\frac{2\sigma}{2}

8=\sigma

40-56=-2\sigma

-16=-2\sigma

\frac{-16}{-2}=\frac{-2\sigma}{-2}

8=\sigma

Therefore, the standard deviation for our given data is 8 and option D is the correct choice.

6 0
2 years ago
Sound intensity varies inversely as the square of the distance from the sound source. If you are in a movie theater and you chan
Aneli [31]
Hello.

The further away from the speakers you are t<span>he less intense the sound will be.
</span>
<span> If sound intensity varies inversely with the square of the distance, you can represent this as: </span>
<span>I = 1/d^2 </span>

<span>If you double the distance: </span>
<span>I = 1/(2d)^2 </span>
<span>I = 1/4d^2 </span>
<span>I = 1/4d^2 </span>

<span>so by doubling the distance, you have 1/4th the intensity.
</span>
Have a nice day
3 0
2 years ago
Read 2 more answers
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