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Elis [28]
3 years ago
10

Peter inherits 15.000 dollars and place money with a bank. The interest rate are 3 percent. How many money will he get after 1ye

ar?
Mathematics
1 answer:
NeTakaya3 years ago
5 0
The simplest form of an interest equation is A = P(1+rt)

where A = the total amount of money at the end, P = the principal (or amount of money you started with), r = the rate in percent, and t = the time in years.

In this case, P = 15000, r = 0.03 (because 3% in decimal form is 0.03), and t = 1:

A=P(1+rt)\\A=15000(1+0.03*1)\\A=15000(1+0.03)\\A=15000(1.03)\\A=15450

So, after 1 year he will get $15450 back, making him $450 more.
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3 years ago
The area of a room is 600 square feet. The length is (x + 5) feet and the width is (x + 4) feet. Find the dimensions of the room
tangare [24]
I'm going to assume that the room is a rectangle.

The area of a rectangle is A = lw, where l=length of the rectangle and w=width of the rectangle. 

You're given that the length, l = (x+5)ft and the width, w = (x+4)ft. You're also told that the area, A = 600 sq. ft. Plug these values into the equation for the area of a rectangle and FOIL to multiply the two factors:
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600 =  x^{2} + 9x + 20


Now subtract 600 from both sides to get a quadratic equation that's equal to zero. That way you can factor the quadratic to find the roots/solutions of your equation. One of the solutions is the value of x that you would use to find the dimensions of the room:
600 = x^{2} + 9x + 20\\
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x + 29 = 0, \:\: x - 20 = 0\\
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Now you know that x could be -29 or 20. For dimensions, the value of x must give you a positive value for length and width. That means x can only be 20. Plugging x=20 into your equations for the length and width, you get:
Length = x + 5 = 20 + 5 = 25 ft.
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The dimensions of your room are 25ft (length) by 24ft (width).
8 0
3 years ago
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adoni [48]

Answer:

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x=6,-2

∴ value of x lies between -2 & 6

3 0
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