Answer:
6.1%
Step-by-step explanation:
Amount increase=17.5-16.5
=1million
% increase= amount increase/original×100% amount
= 1/16.5×100%
= 6.1%
The percentage increase in auto sales is 6.1 %
What is Percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
Given data ,
The auto sales of the country in 2014 = 16.5 million
The auto sales of the country in 2015 = 17.5 million
The increase in auto sales in 2015 from 2014 =
Auto sales of the country in 2015 - Auto sales of the country in 2014
The increase in auto sales in 2015 from 2014 = 17.5 million - 16.5 million
= 1 million
Now , the percentage increase in auto sales =
( Increase in auto sales / Auto sales of the country in 2014 ) x 100
The percentage increase in auto sales = ( 1 / 16.5 ) x 100
= 6.06 %
Therefore , the percentage increase is 6.1 %
Hence , the percentage increase in auto sales if 6.1 %
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Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)
Answer:
C. y = 91
Step-by-step explanation:
you are given that x and y are proportional, this means that you can out them in a fraction
so when x is 8, y is 56, this can be written as 8/56
you are trying to find what y is when x is 3, so you can also put that in a proportion that is equal to the given fraction
so now we have 8/56 = 13/y
cross multiply 56 and 13, and 8 and x
you now have: 8y = 728
divide both sides by 8
you get y = 91
please help please please
Answer:
146 feet
Step-by-step explanation:
The missing angle is 146 degrees. May I please have Brainiest?????
"mailing labels are sold in packages of 16 envelopes are sold in packages of 20 what is the least number of labels and envelopes you can buy so that there is one label on each envelope with none left over?"
Answer:
80 labels
Step-by-step explanation:
The number of packages are 16 envelopes and 20 envelopes
We solve using LCM Method
We find the Multiples of 16 and 20
Multiples of 16:
16, 32, 48, 64, 80, 96, 112
Multiples of 20:
20, 40, 60, 80, 100, 120
Therefore,
LCM(16, 20) = 80
The least number of labels and envelopes you can buy so that there is one label on each envelope with none left over = 80 labels
Answer:
80 labels
Step-by-step explanation:
Ocho veces un numero aumentado en 30 es igual a seis veces el mismo numero, aumentado en 50.¿De que numero se trata?
Answer:
25 sobre 117. no estoy segura pero eso es lo que gare llo
Samantha has 146 ft of yarn. She wants to cut the yarn into equal pieces to give her 18 students. How much yarn will she give each student?
Answer:
8 ft of yarn
Step-by-step explanation:
146/18= 8.111
Round that number down to 8 to make all students get equal amounts of yarn
Answer:
8.11 ft
Step-by-step explanation:
146 ft divided into 18 prices
146 ÷ 18 = 8.11 ft for each student.
In ΔOPQ, o = 6.6 inches, p = 2.1 inches and q=6 inches. Find the measure of ∠O to the nearest 10th of a degree.
Answer:
The measure of ∠O is 97.2° to the nearest tenth
Step-by-step explanation:
To solve this question, we will use the cosine rule
In Δ OPQ
Side o is opposite to ∠O
Side p is opposite to ∠P
Side q is opposite to ∠Q
By using the cosine rule
∵ o² = p² + q² - 2(p)(q)cos∠O
∵ o = 6.6 inches
∵ p = 2.1 inches
∵ q = 6 inches
→ Substitute them in the rule above
∴ (6.6)² = (2.1)² + (6)² - 2(2.1)(6)cos∠O
∴ 43.56 = 4.41 + 36 - 25.2cos∠O
→ Add the like terms in the right side
∴ 43.56 = 40.41 - 25.2cos∠O
→ Subtract 40.41 from both sides
∵ 3.15 = -25.2cos∠O
→ Divide both sides by -25.2 to find cos∠O
∴ -0.125 = cos∠O
→ Use your calculator to find ∠O
∵ m∠O = [tex]cos^{-1}(-0.125)[/tex]
∴ m∠O = 97.18075578
→ Round it to the nearest tenth ⇒ 2d.p.
∴ m∠O = 97.2°
What is the first step needed to solve 2 over 5 multiplied by x minus 6 equals negative 16?
Subtract 16 from both sides
Add 6 to both sides
Divide both sides by 5
Multiply both sides by 2
Answer:
The correct answer is D.
Step-by-step explanation:
The product of two numbers is 1856. The sum is ninety. What is the difference of these two numbers?
======================================================
Explanation:
x and y are the two numbers
The product of those values is 1856, so xy = 1856
The sum is 90, so x+y = 90. Solve for y to get y = 90-x
Plug this into the first equation
xy = 1856
x(90-x) = 1856
90x-x^2 = 1856
0 = x^2-90x+1856
x^2-90x+1856 = 0
Now use the quadratic formula
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-90)\pm\sqrt{(-90)^2-4(1)(1856)}}{2(1)}\\\\x = \frac{90\pm\sqrt{676}}{2}\\\\x = \frac{90\pm26}{2}\\\\x = \frac{90+26}{2} \ \text{ or } \ x = \frac{90-26}{2}\\\\x = \frac{116}{2} \ \text{ or } \ x = \frac{64}{2}\\\\x = 58 \ \text{ or } \ x = 32\\\\[/tex]
If x = 58, then,
y = 90-x
y = 90-58
y = 32
So one pair of values is (x,y) = (58,32)
We see that x*y = 58*32 = 1856
If x = 32, then,
y = 90-x
y = 90-32
y = 58
Showing (x,y) = (32,58) is the other solution. But this is just a mirror copy of the first solution. Effectively we're saying the same thing.
The two numbers 58 and 32 multiply to 1856, and they add to 90.
The difference in the two values is 58-32 = 26 which is the final answer.
------------------------
In summary,
58*32 = 1856
58+32 = 90
58 - 32 = 26
Answer:26
Step-by-step explanation:
x+y=90
xy=1856
x*(90-x)=1856
-x^2 +90x -1856=0
or x^2 -90x +1856=0
Using quadratic equation
(x-58)*(x-32)=0
x=58, y=32
58-32=26
WILL GIVE BRAINLIEST! PLEASE ANSWER!
Answer:
You have the right answer ( y=4x )
Step-by-step explanation:
Hope this helped, Have a Great Day!!
Find the product of (x - 3)2.
Answer:
2x-6
Step-by-step explanation:
Answer:
Step-by-step explanation:
(x - 3)^2 = x^2 - 3x - 3x + 9 = x^2 - 6x + 9
What is the slope of a line parallel to the line whose equation is x+2y=10.fully reduce your answer
Answer:
slope: 0.5x
Step-by-step explanation:
1. -x +10
2. -1/ 2 = -0.5
3. 10/2 = 5
4. y = 0.5x + 5
Can anyone find the simplest radical form
Answer:
C.) [tex]55[/tex]
Step-by-step explanation:
Simplify the expression by finding the square root of 25:
[tex]\sqrt{x} =x*x\\\\\sqrt{25} =5*5\\\\11*5=55[/tex]
The answer is 55
:Done
Mackenzie sells shoes. She makes a 20% commission on all of her sales.
Write 20% as a fraction in simplest form.
Write 20% as a decimal.
Answer:
20% as a fraction is 20/100
20% as a decimal is 0.20
Step-by-step explanation:
Answer:
1/5 and 0.20
Step-by-step explanation:
20/100 = 10/50 = 2/10 = 1/5
20% is out of a 100, so move the decimal place of the 20 two times because 100 has 2 zeros.
0.20
Jill walked 2 1/3 miles to the
treasure and then 1 3/4 miles back
to the boat. How many miles did
Jill walk in all?
What is the difference between an expression and an any quality
Answer:
A expression is a number, variable, or a combination of numbers and variables and operation symbols. A equality is a relationship between 2 quantities or more . Hope it helps:)))
Step-by-step explanation:
can u pls help me with this question
Answer:
A
Step-by-step explanation:
Options A, B and C are the same:
2/3 is two-thirds (that how we read the fraction in English) and is 0.66666... (a decimal is sometimes permissible)
But most common and most used is a fraction
So, the answer is A
Sam computed a 95% confidence interval for μ from a specific random sample. His confidence interval was 10.1 < μ < 12.2. He claims that the probability that μ is in this interval is 0.95. What is wrong with his claim?
A) Either μ is in the interval or it is not. Therefore, the probability that μ is in this interval is 0.95 or 0.05.
B) A probability can not be assigned to the event of μ falling in this interval.
C) Either μ is in the interval or it is not. Therefore, the probability that μ is in this interval is 0 or 1.
D) The probability that μ is in this interval is 0.05.
Answer: C) Either μ is in the interval or it is not. Therefore, the probability that μ is in this interval is 0 or 1.
Step-by-step explanation: A 95% Confidence interval shows that there is a 95% confidence that the true parameter is between the lower and upper limits.
A CI is not a probability that the true parameter is in between the interval. The true parameter is either in the interval or not.
So, probability of falling between the limits is 0 (no chance of being in this interval) or 1 (100% possibility of being in this interval).
Then, "either μ is in the interval or it is not. therefore, the probability that μ is in this interval is 0 or 1." is correct.
The OLS method A. minimizes the sum of the residuals. B. maximizes the sum of the residuals. C. maximizes the sum of the squared residuals. D. minimizes the sum of the squared residuals.
Answer: D. minimizes the sum of the squared residuals
Step-by-step explanation: The ordinary least square method is often used in locating the trendine which best fits a graphical linear model. The best is one in which the sum of the squared residual is smallest. The residual refers to the difference between the actual and the predicted points. The sum of the squared differences is obtained and the trend line is positioned where the residual is minimum. Choosing a OLS, and minimizing the sum.of the squared residual, the error difference between the predicted and actual score is minimized or reduced, hence, improving the prediction accuracy of our model.
At Nivea's Newsstand, 6 magazines cost $12.00. How many magazines could you buy with $16.00?
Answer:
You could by 8 magazines
Step-by-step explanation:
First, set up the equation 6/12=x/16
cross multiple to get 12x=96
divide both sides by 12 and x = 8
SECTION 2-4 PRACTICE
For problems 3–7 use the Social Security tax rate of 6.2 percent and Medicare
tax rate of 1.45 percent to determine each tax and the total deduction.
Gross Soc. Sec. Tax Medicare Tax
Total
Pay
Withheld
Withheld
Deduction
3.
a.
C!
b.
b.
а.
C.
4.
5.
$ 125.00
432.00
241.00
1,562.00
2,521.00
a.
b.
C.
a.
b.
c.
6.
7.
b.
C.
a.
US 4
Answer:
Computation of each tax and the total deduction:
Gross Soc. Sec. Tax Medicare Total
Tax Deduction
a. $ 125.00 $7.75 $1.81 $9.56
b. 432.00 26.78 6.26 33.04
c. 241.00 14.94 3.49 18.43
d. 1,562.00 96.84 22.65 119.49
e. 2,521.00 156.30 36.55 192.85
Step-by-step explanation:
a) Data and Calculations:
Social Security tax rate = 6.2%
Medicare tax rate = 1.45%
Computation of each tax and the total deduction:
Gross Soc. Sec. Tax Medicare Total Pay
Tax Deduction
a. $ 125.00 $7.75 $1.81 $9.56 $115.44
b. 432.00 26.78 6.26 33.04 398.96
c. 241.00 14.94 3.49 18.43 222.57
d. 1,562.00 96.84 22.65 119.49 1,442.51
e. 2,521.00 156.30 36.55 192.85 2,328.15
Total $4,881.00 302.61 70.76 373.37 4,507.63
Your field experience instructor wants to line up 7 cars for transportation to a grade school. Between you and your classmates, there are 29 cars available. How many different groups of 7 cars are possible? different groups
Answer:
1560780 selections
Step-by-step explanation:
Given
Cars = 29
Selection = 7
Required
Possible number of selections
The interpretation of the question is that, in how many ways can 7 cars be selected from 29.
This is done using combination formula as follows:.
[tex]^nC_r = \frac{n}{(n-r)!r!}[/tex]
Where
[tex]n = 29[/tex]
[tex]r = 7[/tex]
So, the formula becomes:
[tex]^{29}C_7 = \frac{29!}{(29-7)!7!}[/tex]
[tex]^{29}C_7 = \frac{29!}{22!7!}[/tex]
[tex]^{29}C_7 = \frac{29*28*27*26*25*24*23*22!}{22!7!}[/tex]
[tex]^{29}C_7 = \frac{29*28*27*26*25*24*23}{7!}[/tex]
[tex]^{29}C_7 = \frac{29*28*27*26*25*24*23}{7*6*5*4*3*2*1}[/tex]
[tex]^{29}C_7 = \frac{7866331200}{5040}[/tex]
[tex]^{29}C_7 = 1560780[/tex]
Hence, the number of ways is 1560780
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:45 mins.
Step-by-step explanation: half of 30 is 15 (one box = 15) and 15 times 3 is 45
Alex rents a car for one day. The charge is $18 plus $0.12 per mile. Alex wants to spend exactly $30. How many miles can he drive.
Answer:
Alex can drive for 100 miles.
Step-by-step explanation:
First, you do 30 - 18, which is 12. Divide 12 by 0.12 to get your answer, which is 100 miles.
Hope this answer helped!
Answer:
Alex can drive for 100 miles
Step-by-step explanation:
Can y'all answer my question: 3d + 45 = 150
Answer:
d=35
Step-by-step explanation:
Helen had Php7500 for shopping money. When she got home, she had Php132.75 in her pocket. How much did she spend for shopping?
Answer:
Step-by-step explanation:
Helen had Php7500 for shopping money
she had Php132.75 in her pocket
she spend= 7500.00-132.75
=7367.25answer
would would the slope and y intercept be
The Ted Williams Tunnel under Boston Harbor is 8,448 feet long. How many yards is the length of the tunnel?
Answer:
2816 yards
Step-by-step explanation:
In order to find the answer, you would need to divide 8,448 by 3 because there are 3 feets in a yard.
Hope this helps and pls do mark me brainliest if you can:)
I just need an answer
Answer:
Step-by-step explanation:
The similar things between the two is that they both to through the y-intercept and x-intercept, but one graph is positive and the other is negative and also have different slopes.
The expression -7y is a
A term
B variable
C constant
Answer:
A. Term
Step-by-step explanation:
A constant does not cointain a variable, a variable by itself does not contain a constant.
It's a term because it has a constant and a variable.
Choose the fraction that has not been reduced to simplest form.
[tex]\frac{1}{16} \frac{21}{34} \frac{3}{57} \frac{11}{17}\\[/tex]
Answer:
3/57
Step-by-step explanation:
3/57 because 3/3*19=1/19