Answer:
Sale tax rate = 21.46%
Step-by-step explanation:
Sale Tax % = ( Amount after sale tax - Original cost) ÷ original × 100
Sale Tax % = ( $9.96 - $8.20) ÷ $8.20 × 100
Sale Tax % = $1.76 ÷ $8.20 × 100
Sale Tax % = .2146341463 × 100
Sale Tax % = 21.46
If xcos(x)= 2, find (-x) • cos(-x)
[tex](-x) \cos(-x)\\\\=-x \cos x \\\\=-(x \cos x)\\\\=-2[/tex]
Which description represents the expression 5x – 9?
ANSWERS
A. 9 is subtractive from the product of 5
and
B. 5 times the difference of a number 9
C. 9 is subtracted from the sum of 5 and a number
D. 9 more than the product of 5 and a number
what is the percent of $300,000=$75,000
Answer:
25%
Step-by-step explanation:
75000/30000=75/300=25/100=25%
Answer:
25%
Step-by-step explanation:
(75,000/300,000) (100)
(0.25) (10)
= 25
On a particular stretch of highway, the State Police know that the average speed is 62 mph with a standard deviation of 5 mph. On a busy holiday weekend, the police are concerned that people travel too fast. So they randomly monitor speeds of a sample of 50 cars and record an average speed of 66 mph. Use central limit theorem to calculate
Using the normal distribution and the central limit theorem, it is found that there is a 0% probability of a sample of 50 cars recording an average speed of 66 mph or higher.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It 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, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
Mean of 62 mph, hence [tex]\mu = 62[/tex].Standard deviation of 5 mph, hence [tex]\sigma = 5[/tex].Sample of 50 cards, hence [tex]n = 50, s = \frac{5}{\sqrt{50}} = 0.7071[/tex]The probability of a sample of 50 cars recording an average speed of 66 mph or higher is 1 subtracted by the p-value of Z when X = 66, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{66 - 62}{0.7071}[/tex]
[tex]Z = 5.66[/tex]
[tex]Z = 5.66[/tex] has a p-value of 1.
1 - 1 = 0.
There is a 0% probability of a sample of 50 cars recording an average speed of 66 mph or higher.
A similar problem is given at https://brainly.com/question/24663213
31 divided by 943.89
Answer:
0.032
Step-by-step explanation:
Answer: 0.03284281007
Step-by-step explanation:
tap the word that "they" refers to
a. birds
b. frogs
c. feets
Step-by-step explanation:
we would a small text, or give us a picture so we can read it, then we can answer this question, without it, I'd have to guess
The staff at a company went from 40 to 29 employees. What was the percent change in the number of staff?
Answer: 27.5% decrease in the staff
Step-by-step explanation:
(1.2 times 10^9) divided by (3 times 10^5) in scientific notation
Answer:
[tex]4x \times {10}^{3} [/tex]
Step-by-step explanation:
[tex] \frac{1.2}{3} \times \frac{ {10}^{9} }{ {10}^{5} } [/tex]
[tex]0.4 \times {10}^{9 - 5} [/tex]
[tex]0.4 \times {10}^{4} [/tex]
[tex] = 4 \times {10}^{3} [/tex]
Hurry help plz
Solve for an angle in right triangles
[tex]\cos \angle B = \dfrac{2}{7}\\\\\implies \angle B = \cos^{-1} \left( \dfrac{2}{7} \right) = 1.28^{\circ}[/tex]
My kid already tried 3x7x7x7x7 = 3 x 7 to the power of 4 but it says it’s wrong, help please!
Answer:
[tex]7^{4} * 3[/tex]
Step-by-step explanation:
Write 34% as a fraction in simplest form
Answer:
The answer is that the simplest fraction form of 34% is 17/50
Step-by-step explanation:
Both the numerator and denominator of the fraction 34/100 can only be divided by 2, to satisfy creating its simplest form.
34% = 17/50
Have an awesome day! :D
Answer:
[tex]\frac{17}{50}[/tex]
Step-by-step explanation:
To write any fraction as a percent, remember perCENT means per 100. Think of 100 cents in a dollar. So 34 perCENT means 34 of 100, which you write as [tex]\frac{34}{100}[/tex].
Simplest form means to reduce, so you see if there is any number you can divide out of the top and the bottom.
[tex]\frac{34}{100}[/tex] = [tex]\frac{17*2}{50*2}[/tex]= [tex]\frac{17}{50}[/tex]
The cash price of a used sedan is $18,750. Arthur Dennis cannot pay
cash, so he is making a down payment of $2,750 and 60 monthly
payments of $325 each. How much more does it cost to buy the vehicle this way?
Answer:
19,500
Step-by-step explanation:
You multiply 325 x 60 and you get 19,500
what is the prime number of 30 to 59
Answer:
the prime numbers between 30 and 59 are 31, 37, 41, 43, 47, 53
The product of a number is 221. sum of no. is 30. Find the number. . p
Answer: 13 and 17
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4/5 - 1/2 plz help i neeeeeeeeeed to know plz plz plz plz
Answer:
3/10
Step-by-step explanation:
Find a common denominator for both fractions.
4/5 - 1/2 = 8/10 - 5/10
Two trains leave towns 474 kilometers apart at the same time and travel toward each other. One train travels13 km/m faster than the other. If they meet in 2 hours, what is the rate of each train?
Answer:
112 km/h
125 km/hr
Step-by-step explanation:
Distance = time * speed
Distance = distance train 1 + distance train 2
474 = 2(s) + 2(s + 13)
Distribute
474 = 2s + 2s + 26
Combine like terms
474 = 4s + 26
Subtract 26 from both sides
448 = 4s
Divide both sides by 4
112 = s
s = 112 km/h
s + 13 = 125 km/hr
hii, i need help with this word problem :)
Multiply the amount per week by the number of weeks (x) and add that to the starting amount they had. Set those to equal each other and solve for x:
222 + 10x = 148 + 12x
Subtract 10x from both sides:
222 = 148 + 2x
Subtract 148 from both sides
74 = 2x
Divide both sides by 2
X = 37
Answer: 37 weeks
Evaluate the expression.
−12 ⋅ 1/3
Group of answer choices
4
-4
36
-36
Answer:
Option B. -4
Step-by-step explanation:
-12 x (1/3)
=> -12 ÷ 3
=> -4
Therefore, -4 is our answer.
Hoped this helped.
g(x) = 2x
f(x) = -2x + 2x
Find g(x) + f(x)
Step-by-step explanation:
f(x) = 0
-2x + 2x is always 0.
so, g(x) + f(x) = g(x) + 0 = g(x) = 2x.
long proof :
g(x) + f(x) = 2x + -2x + 2x = 2x
Write the equation (y=mx+b) that represents the relationship show on the graph.
Answer:
y= 3x + 4
Step-by-step explanation:
yeah-ya....... right?
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
You buy clothing at a sale. You buy a sweater at
7
10
of its original price of $35. Answer each question and show all your work.
a. How much money did you spend?
b. How much money did you save?
c. What fraction of the total original price did you save?
The amount that will be spent is $24.50, the amount saved will be $10.50, and the percentage saved will be 30%.
The amount that will be spent will be:
= 7/10 × $35 = $24.50
The amount that will be saved will be:
= $35 - $24.50 = $10.50
The fraction of the original price that is saved will be:
= 10.50/35 × 100
= 30%
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https://brainly.com/question/25763817
Select the correct answer. What is the solution to the equation? 2(x+7)^2/3 = 8 A. -15 and 1 B. -15 C. 1 D. no solution
Answer:
The answer has no solution because it is infinite and that's your vairiable
Answer:
-15 and 1
Step-by-step explanation:
what is 7 1/2 inches as a decimal of 1 foot
Answer:
7 1/2 inches as a decimal of 1 foot is 0.625ft
Answer:
7 1/2 inches = 0.625 ft
Step-by-step explanation:
7 1/2 inches = 7.5 inches
1 ft = 12 inches
7.5/12 = 0.625
7 1/2 inches = 0.625 ft
Please look at picture for question.
Answer:
2/5m - 1/5
Step-by-step explanation:
You have 10 pounds of aquafaba. You need 6 oz to make one serving of consomme. How many servings can you make? Whole servings only - round down rather than using partial servings.
Using the principle of proportional relationship, the number of whole serving that can be made is 26.
Recall :
1 pound = 16 ozTotal amount of aquafaba in ounces :
16 × 10 = 160 ozAmount of aquafaba required per serving of consomme :
1 serving = 6 oz
x servings = 160 oz
Cross multiply
6x = 160
Divide both sides by 6
x = 160/6
x = 26.667
Hence, the amount of whole serving that can be made is 26.
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how do i do this?
y=- 1/2x + 3
Answer: y-intercept would be (0,-1/3)
Step-by-step explanation:
I might be wrong
Which expressions are equivalent to (1/3x+2x−5/3x)−(−1/3x+5) ? Select all correct expressions. −4x+5+3x 5−x 4x−5−3x x−5
Answer:
its x-5 and 4x-5-3x
Step-by-step explanation:
I took the test
13 If CDEF is a rhombus, find m FED.
Answer:
36
Step-by-step explanation:
8x-20=5x+1
-5 -5
3x=-20+1
+20 +20
3x=21
3 3
x=7
8(7)-20
FED=36
Quick Computing installed its previous generation of computer chip manufacturing equipment 3 years ago. Some of that older equipment will become unnecessary when the company goes into production of its new product. The obsolete equipment, which originally cost $40 million, has been depreciated straight-line over an assumed tax life of 5 years, but it can be sold now for $18 million. The firm’s tax rate is 35%. What is the after-tax cash flow from the sale of the equipment?
The company's after-tax cash flow is a measure of the company's cash
generation ability.
The after-tax cash flow from the sale of the equipment is $16.1 millionReasons:
The given parameter are;
Original cost of the equipment = $40 million
The type of depreciation = Straight line depreciation
Number of years of depreciation = 5 years
Current price at which it can be sold = $18 million
The tax rate of the firm = 35%
Required:
The after-tax cash flow from the sale of the equipment.
Solution:
The Cash Flow After Tax, CFAT, is given as follows;
CFAT = Net income + Amortization + Depreciation + Other non-Cash Cash Charges
The annual depreciation is given as follows;
[tex]Annual \ depreciation = \dfrac{\$40 \ million - \$18 \ million}{5 \ years} = \$4.4 \ million \ per \ year[/tex]
Selling the equipment gives;
The Earnings Before Tax (EBT) = $18 million
The Net Income = Income - Tax = $18 million - (35% × $18 million)
The Net Income = $11.7 million
Cash Flow After Tax CFAT = Net income + Depreciation
∴ CFAT = $11.7 million + $4.4 million = $16.1 million
The after-tax cash flow = $16.1 millionLearn more here:
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Who is the general information of acounting
Answer:
General accounting essentially refers to general ledger collection and accounting activities that include account charges in credits and debits and documenting financial statements for a quarter, calendar or fiscal year.
