Answer:

or

Step-by-step explanation:
If Alexa worked 30 hours last week and earned $450, then her hourly payment is

Her payment has now been increased by 20%, so her hourly payment becomes

If she worked h hours, then she earned
If her new payment is p, then

or

Answer:
The answer is that the 20-ounce Dr. Pepper has the better price.
Step-by-step explanation:
This is because the smaller Dr. Pepper is only cutting a little bit of the of the amount you pay to get a bigger Dr. Pepper
Hopes this helps you!
Answer:
The sample size is 
Step-by-step explanation:
From the question we are told that
The rough estimate of the standard deviation is 
The interval width is 
Generally the margin of error is mathematically represented as

=> 
=> 
From the question we are told the confidence level is 99% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of
is
Generally the sample size is mathematically represented as
![n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2](https://tex.z-dn.net/?f=n%20%3D%20%5B%5Cfrac%7BZ_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%20%2A%20%20%5Csigma%20%7D%7BE%7D%20%5D%20%5E2)
=> ![n = [\frac{ 2.58 * 0.14 }{0.02} ] ^2](https://tex.z-dn.net/?f=n%20%3D%20%5B%5Cfrac%7B%202.58%20%2A%20%200.14%20%7D%7B0.02%7D%20%5D%20%5E2)
=> 
Length BC is opposite of angle A and AC is opposite of angle B.
<span>Since we know one set of opposite angles and lengths and looking for the length where we know the opposite angle, we can use law of sines: </span>
<span>a / sin(A) = b / sin(B) </span>
<span>8 / sin(71) = b / sin(42) </span>
<span>b sin(71) = 8 sin(42) </span>
<span>b = 8 sin(42) / sin(71) </span>
<span>b ≈ 5.66 units (rounded to 2DP)</span>