Ask question

Ask question

All categories

2 years ago

8

Ronald brought a jacket on Friday that had original price if $45. It was on sale at 10% off its original price. Which formula sh

ows what Ronald paid after 7% sales tax was added?
A. 1.07(45-10)
B. 1.03(45)
C. 1.07(45-45(.1))
D. 1.1(45-45(.7))

1 answer:

trapecia [35]2 years ago

3 0

The answer is D 1.1(45-45(.7))

You might be interested in

2^x-1=128<br><br><br> show work pls! thank u :)

hichkok12 [17]

Hello from MrBillDoesMath!

Answer:

Take you pick below! (either x 8 or x = 7.01, approx, depending how the question is interpreted)

Discussion:

Interpretation 1

If the question is 2^(x -1) = 128, then as 2^7 = 128,

x-1 = 7 so x = 8

Interpretation 2

If the question is (2^x -1) = 128, then..

2^x = 128 + 1 = 129 =>

log(2^x) = log(129) =>

xlog(2) = log(129) =>

x = log (129) / log2 = 7.01

Regards,

MrB

4 0

3 years ago

Find a positive number for which the sum of it and its reciprocal is the smallest (least) possible. Let x be the number and let

Allisa [31]

Answer:

$S(x) = x + \frac{1}{x}$ --- Objective function

Interval = $\{x:x=1\}$

Step-by-step explanation:

Given

Represent the number with x

The required sum can be represented as:

$x + \frac{1}{x}$

Hence, the objective function is:

$S(x) = x + \frac{1}{x}$

To get the the interval, we start by differentiating w.r.t x

<em>Using first principle, this gives:</em>

$S'(x) = 1 - \frac{1}{x^2}$

Equate S'(x) to 0 in order to solve for x

$0 = 1 - \frac{1}{x^2}$

Subtract 1 from both sides

$0 -1 = 1 -1 - \frac{1}{x^2}$

$-1 = - \frac{1}{x^2}$

Multiply both sides by -1

$1 = \frac{1}{x^2}$

Cross Multiply

$x^2 * 1 = 1$

$x^2 = 1$

Take positive square root of both sides because x is positive

$\sqrt{x^2} = \sqrt{1$

$x = 1$

Representing x using interval notation, we have

Interval = $\{x:x=1\}$

To get the smallest sum, we substitute 1 for x in $S(x) = x + \frac{1}{x}$

$S(1) = 1 + \frac{1}{1}$

$S(1) = 1 + 1$

$S(1) = 2$

<em>Hence, the smallest sum is 2</em>

3 0

3 years ago

One dozen eggs cost $1.98 how much does 1 egg cost

RSB [31]

I think it would be 15 cents!

5 0

3 years ago

Read 2 more answers

Determine the number of solutions for this equation. 9x−5=7x+15

o-na [289]

I hope this helppppppppppppppppp

5 0

3 years ago

One wall in Zoe's bedroom is 5 feet wide and 8 feet tall. Zoe puts up a poster of her favorite athlete. The poster is 2 feet wid

Marta_Voda [28]

3 feet of width and 5 feet of height.

3 0

3 years ago

Read 2 more answers