You have to find the value of k

Beth is buying a new washing machine that

Mazyrski [523]

Beth will pay $ 405.45 for washing machine

Solution:

Given that, Beth is buying a new washing machine that costs $450

Cost price = $ 450

She has a 15% off coupon

So, she has a discount of 15 % of 450

Let us find the discount rate

Discount rate = 15 % of 450

$Discount\ rate = 15 \% \times 450\\\\Discount\ rate = \frac{15}{100} \times 450 = 0.15 \times 450 = 67.5$

Thus discount rate is $ 67.5

Therefore, sales price is given as:

sales price = cost price - discount rate

sales price = 450 - 67.5 = 382.5

Thus she pays $ 382.5

Now she must pay 6 % sales tax

Let us find the sales tax rate

Sales tax rate = 6 % of 382.5

$sales\ tax\ rate = 6 \% \times 382.5\\\\sales\ tax\ rate = \frac{6}{100} \times 382.5 = 0.06 \times 382.5 = 22.95$

Thus sales tax rate = $ 22.95

How much will Beth pay for the washing machine?

Total amount paid by Beth = sales price + sales tax rate

Total amount paid by Beth = 382.5 + 22.95 = 405.45

Thus Beth will pay $ 405.45 for washing machine

7 0

3 years ago

What is the volume of a cone that has a radius of 9 inches and a height of 16 inches? Use 3.14 for

SCORPION-xisa [38]

Answer:

1357.17 inches³

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

What are the explicit equation and domain for a geometric sequence with a first term of 4 and a second term of −12?

Lerok [7]

$a_1=4;\ a_2=-12\\\\r=\dfrac{a_2}{a_1}\to r=\dfrac{-12}{4}=-3$

The formula of a geometric sequence:

$a_n=a_1\cdot r^{n-1}$

substitute

$a_n=4\cdot(-3)^{n-1}$

$The\ domain:\ \text{all integers where}\ n\geq1$

Answer: $\boxed{a_n=4(-3)^{n-1};\ \text{all integers where}\ n\geq1}$

4 0

3 years ago

In the Journal of Shell and Spatial Structures (December 1963), environmental researcher Vivek Ajmani studied the performance of

igomit [66]

Answer:

The standard deviation of the load distribution is of 5102.041 pounds.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 20000$

Also, the probability that the load is between 10,000 and 30,000 pounds is 0.95.

10,000 pounds and 30,000 pounds are equidistant from the mean. Due to this, and the probability of 0.95 of having a value in this range, 10000 is the (100-95)/2 = 2.5th percentile and 30000 is the (100+95)/2 = 97.5th percentile. Applying one of them, we find the standard deviation.

30,000 is the 97.5th percentile:

This means that when X = 30000, Z has a pvalue of 0.975. So when X = 30000, Z = 1.96. Then

$Z = \frac{X - \mu}{\sigma}$

$1.96 = \frac{30000 - 20000}{\sigma}$