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Hitman42 [59]
3 years ago
10

Steven bought a new computer at the end of a sale. The price of the computer was $52 on the day he bought it. The next day it ha

d been marked up by 40%. What was the new price after the sale?
Mathematics
1 answer:
den301095 [7]3 years ago
4 0

Answer:

$72.80

Step-by-step explanation:

You would multiply 52 with .40 to get 20.8. This is how much the price increased by. Then you would add the 20.8 to your original price of 52 to get 72.80.

(Also you use .40 initially because percent means out of 100. So 40% is the same as .4)

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Find the measure of b. (Explain how you found it please!)
Allisa [31]

Answer:

125 deg

Step-by-step explanation:

Keep these three rules in mind:

1) A central angle (vertex is the center of the circle) has the same measure as the arc it intercepts.

2) The measure of an inscribed angle (vertex is point on circle) is half the measure of the intercepted arc.

3) Opposite angles of a rectangle inscribed in a circle are supplementary.

110 deg is a central angle.

By rule 1), the arc intercepted by the central angle 110 deg also measures 110 deg.

a is an inscribed angle that intercepts an arc of 110 deg.

By rule 2), the measure of an inscribed angle is half the measure of the intercepted arc.

angle a measures 55 deg.

Rule 3) Angles a and b are supplementary.

a + b = 180

55 + b = 180

b = 125

5 0
2 years ago
Which characteristic is correct for the function f(x)=4x^5+8x+2
Westkost [7]

Answer:

neither even not odd

Step-by-step explanation:

A function is odd if and only if y=f(x) is the same as y=-f(-x). Also a function is said to be even if and only if y=f(x) is the same as y=f(-x).

given our function f(x)=4x^5+8x+2

-f(-x)=-(4(-x)^5+8(-x)+2)

      =4x^5+8x-2

also,

f(-x)=4(-x)^5+8(-x)+2

     =-4x^5-8x+2

from the above we see that f(x) ≠ -f(-x) and also f(x) ≠ f(-x). We therefore conclude that the function is neither even not odd

7 0
3 years ago
If f(x) varies directly with x and f(x) = 72 when x = 6, find the value of f(x) when x = 3.
Levart [38]

Answer:

36

Step-by-step explanation:

Since f(x) varies directly with x, f(x) can be expressed alternatively as \[f(x) = k * x\] where k is a constant value.

Given that f(x) is 72 when the value of x is 6.

This implies, \[72 = k * 6\]

Simplifying and rearranging the equation to find the value of k:

k = \frac{72}{6}

Hence k = 12

Or, \[f(x) = 12 * x\]

When x = 3, \[f(x) = 12 *3 \]

Or in other words, the value of f(x) when x=3 is 36

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