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3 years ago

Amy owns a graphic design store. She purchases a new printer to use in her store.

1 answer:

8 0

Y = 25,000 • 0.95^x
at x = 1a0 = y = 25,000 • 0.95^x a0 = 25,000 • 0.95^(1)a0 = 23750.00
at x = 2a1 = y = 25,000 • 0.95^xa1 = 25,000 • 0.95^( 2 )a1 = 22562.50
at x = 3a2 = y = 25,000 • 0.95^xa2 = 25,000 • 0.95^( 3 )a2 = 21434.38

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Which equation is equivalent to<br> y-1= 5(x+2) ?

Agata [3.3K]

Step-by-step explanation:

We can simply by opening the brackets ,

=> y - 1 = 5( x - 2 )

=> y - 1 = 5x - 10

=> y - 5x = -9

=> 5x - y + 9 = 0

8 0

3 years ago

I need help understanding this problem.

kobusy [5.1K]

Answer:

Step-by-step explanation:

The sum of the opposite interior angles of a triangle is equal to the exterior angle

4x+11 +51 = 10x -10

Combine like terms

4x+62 = 10x -10

Subtract 4x from each side

4x+62-4x = 10x-10-4x

62 = 6x-10

Add 10 to each side

62+10 = 6x-10+10

72 = 6x

Divide by 6

72/6 = 6x/6

12 =x

We want to find angle D

<D =4x+11

= 4*12 +11

= 48+11

= 59

4 0

3 years ago

Shauna makes 24 cupcakes per hour. She has already made 48 cupcakes. Let x represent the amount of time Shauna spends making the

GalinKa [24]

Y=24x+48

24 per hour (x) plus the 48 she already made would equal a total (y).

3 0

3 years ago

Find the derivative of the function <br> f(x) = √2^3 + ln(x^3) - 2x^3 - log_3(729) - 2/x^4

marysya [2.9K]

Applying the rules for the constant, logarithm and exponents, the derivative of the given function is of:

f'(x) = 3/x - 6x² - 8/(x^5).

<h3>What is the derivative of the function?</h3>

The function is given by:

f(x) = √2^3 + ln(x^3) - 2x^3 - log_3(729) - 2/x^4

The derivative of a sum is the sum of the derivatives, hence:

f'(x) = (√2^3)' + (ln(x^3))' - (2x^3)' - (log_3(729))' - (2/x^4)'

The derivative of a constant is of zero, hence:

(√2^3)' = 0.

(log_3(729))' = 0.

Hence:

f'(x) = (ln(x^3))' - (2x^3)' - (2/x^4)'.

The derivative of the logarithm is given by:

ln(h(x))' = (1/h(x)) x h'(x).

Hence:

(ln(x^3))' = 3x²/x³ = 3/x.

The derivative of the power of x is given by:

[x^n]' = nx^(n-1).

Hence:

(2x³)' = 6x².

(2/x^4)' = (2x^(-4))' = -8x^(-5) = -8/(x^5).

Hence the derivative of the function is given by:

f'(x) = 3/x - 6x² - 8/(x^5).

More can be learned about derivatives at brainly.com/question/23819325

#SPJ1

3 0

1 year ago

HELPPP

lidiya [134]

Answer:

The area of the rectangle is 4 sq yards.

Step-by-step explanation:

Given that,

The length of the rectangle, $L=\dfrac{2}{13}\ yards$

The breadth of the rectangle, B = 26 yards

We need to find the area of the rectangle. The formula for the area of a rectangle is given by :

A = LB

Put all the values,

$A=\dfrac{2}{13}\times 26\\\\A=2\times 2\\\\A=4\ yd^2$

So, the area of the rectangle is 4 sq yards.

6 0

3 years ago