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4 years ago

15

A consumer purchased a computer after a 14% price reduction. If x represents the computer's original price, the reduced price

can be represented by ________.

1 answer:

Pachacha [2.7K]4 years ago

8 0

<span>the reduced price is represented by: x-(.14*x)</span>

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Use the quadratic formula to solve the equation.

bixtya [17]

X= (5+√5)/4
x= (5-√5)/4

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4 years ago

if the sales tax rate is 7.25% in california, then how much would you pay in los angeles for a pair of shoes that cost $39.00

Anna [14]

It would come out to be $41.8275, so if you round it would cost $41.83.

4 0

4 years ago

Find the Correlation of the following two variables X: 2, 3, 5, 6 Y: 1, 2, 4, 5

Karolina [17]

Answer:

The correlation of X and Y is 1.006

Step-by-step explanation:

Given

X: 2, 3, 5, 6

Y: 1, 2, 4, 5

n = 4

Required

Determine the correlation of x and y

Start by calculating the mean of x and y

<em>For x</em>

$M_x = \frac{\sum x}{n}$

$M_x = \frac{2 + 3+5+6}{4}$

$M_x = \frac{16}{4}$

$M_x = 4$

<em>For y</em>

$M_y = \frac{\sum y}{n}$

$M_y = \frac{1+2+4+5}{4}$

$M_y = \frac{12}{4}$

$M_y = 3$

Next, we determine the standard deviation of both

$S = \sqrt{\frac{\sum (x - Mean)^2}{n - 1}}$

For x

$S_x = \sqrt{\frac{\sum (x_i - Mx)^2}{n -1}}$

$S_x = \sqrt{\frac{(2-4)^2 + (3-4)^2 + (5-4)^2 + (6-4)^2}{4 - 1}}$

$S_x = \sqrt{\frac{-2^2 + (-1^2) + 1^2 + 2^2}{3}}$

$S_x = \sqrt{\frac{4 + 1 + 1 + 4}{3}}$

$S_x = \sqrt{\frac{10}{3}}$

$S_x = \sqrt{3.33}$

$S_x = 1.82$

For y

$S_y = \sqrt{\frac{\sum (y_i - My)^2}{n - 1}}$

$S_y = \sqrt{\frac{(1-3)^2 + (2-3)^2 + (4-3)^2 + (5-3)^2}{4 - 1}}$

$S_y = \sqrt{\frac{-2^2 + (-1^2) + 1^2 + 2^2}{3}}$

$S_y = \sqrt{\frac{4 + 1 + 1 + 4}{3}}$

$S_y = \sqrt{\frac{10}{3}}$

$S_y = \sqrt{3.33}$

$S_y = 1.82$

Find the N pairs as $(x-M_x)*(y-M_y)$

$(2 - 4)(1 - 3) = (-2)(-2) = 4$

$(3 - 4)(2 - 3) = (-1)(-1) = 1$

$(5 - 4)(4 - 3) = (1)(1) = 1$

$(6-4)(5-3) = (2)(2) = 4$

Add up these results;

$N = 4 + 1 + 1 + 4$

$N = 10$

Next; Evaluate the following

$\frac{N}{S_x * S_y} * \frac{1}{n-1}$

$\frac{10}{1.82* 1.82} * \frac{1}{4-1}$

$\frac{10}{3.3124} * \frac{1}{3}$

$\frac{10}{9.9372}$

$1.006$

<em>Hence, The correlation of X and Y is 1.006</em>

4 0

4 years ago

xeze [42]

An approximate number, that can be calculated mentally, is by using the rule of 72: Divide 72 by the interest in % to give the number of years needed to double the money.
In this case, the approximate number of years
n= 72/4=18 years (approximately)

Precise value by compound interest formula:
2P=P*(1.04)^n
=>
1.04^n=2
take logs on both sides
nlog(1.04)=log(2)
n=log(2)/log(1.04)=17.673 years

4 0

4 years ago

Jacqueline’s personal information is below:

erik [133]

Jacqueline's credit score is 606.

4 0

4 years ago