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nalin [4]
3 years ago
6

You buy a computer for $3,000. Its value depreciates by 8% every month. Write an equation to represent the situation. How much i

s your computer worth after 3 years?
Mathematics
1 answer:
timofeeve [1]3 years ago
8 0

Answer:

y=3,000(0.92)^x

Step-by-step explanation:

your computer is worth $2, 336.04

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Write the equation of a line that passes through (2,6) and (-2,2)
Viktor [21]

Answer:

y = x + 4

Step-by-step explanation:

The equation of the line is

y = mx + c

Step 1: find the slope

m = y2 - y1 / x2 - x1

Give points

( 2 , 6) ( -2 ,2)

x1 = 2

y1 = 6

x2 = -2

y2 = 2

m = 2 - 6 / -2 - 2

m = -4 / -4

m = 1

y = mx + c

y = 1x + c

y = x + c

Step 2: sub any of the two points given into the equation

( 2 , 6)

x = 2

y = 6

y = x + c

6 = 2 + c

6 - 2 = c

c = 4

Step 3: sub c into the equation

y = x + 4

The equation of the line is

y = x + 4

5 0
3 years ago
An arc is 6.5 cm long and it subtends a central angle of 45 degrees. Find the radius of the circle.
Orlov [11]
Arc length = radius * central angle (measured in radians)
There are <span> <span> <span> 57.2957795131 </span> </span> </span> degrees per radian so
45 degrees = (45 / <span> <span> <span> 57.2957795131) = </span></span></span> <span> <span> <span> 0.7853981634 </span> </span> </span> radians<span><span> </span> </span>
radius = arc length / central angle (radians)
radius = 6.5 / <span> <span> 0.7853981634 </span> </span> radians = <span> <span> <span> 8.2760570408 </span> </span> </span> cm

http://www.1728.org/radians.htm

8 0
3 years ago
74% of freshmen entering public high schools in 2006 graduated with their class in 2010. A random sample of 81 freshmen is selec
Assoli18 [71]

Answer: Probability that the proportion of students who graduated is greater than 0.743 is P = 0.4755

Step-by-step explanation:

Given that,

Probability of freshmen entering public high schools in 2006 graduated with their class in 2010, p = 0.74

Random sample of freshman, n = 81

Utilizing central limit theorem,

P(\hat{p}

So,

(P(\hat{p}>0.743) = P(Z>0.743 - \frac{0.74}{\sqrt{\frac{0.74(1-0.74)}{81} }  } )

= P( Z > 0.0616)

= 0.4755 ⇒ probability that the proportion of students who graduated is greater than 0.743.

7 0
3 years ago
A region R in the xy-plane is given. Find equations for a transformation T that maps a rectangular region S in the uv-plane onto
ruslelena [56]
X(u, v) = (2(v - c) / (d - c) + 1)cos(pi * (u - a) / (2b - 2a))
y(u, v) = (2(v - c) / (d - c) + 1)sin(pi * (u - a) / (2b - 2a))

As v ranges from c to d, 2(v - c) / (d - c) + 1 will range from 1 to 3, which is the perfect range for the radius. As u ranges from a to b, pi * (u - a) / (2b - 2a) will range from 0 to pi/2, which is the perfect range for the angle. So, this maps the rectangle to R.
6 0
3 years ago
Cuando dejamos un trozo de chocolate al sol ,se derrite​
Pachacha [2.7K]

Answer:si

Step-by-step explanation:

por la calentura de sol

7 0
3 years ago
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