Find the selling price of an $70 item after a 30% markup.
Answer:
70/100*130= $91
Step-by-step explanation:
Answer:
$91
Step-by-step explanation:
CP= $70
Markup= 30%
SP= $70 +30%= $70*1.3= $91List the first five terms of the sequence: \[ a_{1}=27 \quad d=-5 \]
The first five terms of the sequence are 27, 22, 17, 12, and 7.
To find the first five terms of the sequence given by a₁=27 and d=-5,
we can use the formula for the nth term of an arithmetic sequence:
\(a_n=a_1+(n-1)d\)
Substituting the given values, we have:
\(a_n=27+(n-1)(-5)\)
Now, we can calculate the first five terms of the sequence by substituting the values of n from 1 to 5:
\(a_1=27+(1-1)(-5)=27\)
\(a_1=27+(2-1)(-5)=22\)
\(a_1=27+(3-1)(-5)=17\)
\(a_1=27+(4-1)(-5)=12\)
\(a_1=27+(5-1)(-5)=7\)
Therefore, the first five terms of the sequence are 27, 22, 17, 12, and 7.
To learn more about sequence visit:
brainly.com/question/23857849
#SPJ11
Which of the following sets of numbers could not represent the three sides of a triangle?
Answer:
Correct answer is option C
( 15 , 21 , 33 )
Step-by-step explanation:
hope it helps
Identify an expression for the height of a rectangle whose area is represented by 3x3 − x2 − 6x − 8, and whose base is represented by x − 2.
Answer:
3x^2 + 5x + 4
Step-by-step explanation:
The expression for the height of the rectangle is found by dividing the expression for the area, 3x3 − x2 − 6x − 8, by the expression for the base, x − 2. Use synthetic division.
Solve for x in the equation x + 8 = −19.
27
19
−11
−27
Answer: -27
Step-by-step explanation:
Let's start with what we have:
x + 8 = -19
We subtract 8 from both sides:
x = -27
So we get x = -27
Answer:
-27
Step-by-step explanation:
\(x + 8 = - 19\)
\(x = - 19 - 8\)
\(x = - 27\)
Find x:
M
Х
60° 60°
L
N
16
its 7.5 im pretty sure
solve using trigonometry, find missing side
Answer:
Step-by-step explanation:
1. sin 30 = x/16
x= 16 sin 30
x = 8
2. cos 60 = 22/x
x = 22/cos 60
x = 44
3. tan 45 = x/19
x = 19 tan 45
x= 19
4. tan 16 = x/13
x = 13 tan 16
x= 3.73
5. sin 54 = x/45
x = 45 sin 54
x= 36.41
6. sin 35 = z/23
z = 23 sin 35
z = 13.19
if $1.00 will buy 0.76 euros, then how many dollars will one euro buy (rounded)? $0.24 $0.76 $1.00 $1.32
If $1.00 will buy 0.76 euros, then one euro will buy:
1 euro / 0.76 dollars/euro = 1.3158 dollars/euro
Rounded to the nearest cent, one euro will buy $1.32.
To learn more currency conversion about refer below:
https://brainly.com/question/122634
#SPJ11
Here is a list of numbers:
20, 8, 6, 11, 3, 15, 11 ,20 ,12 ,13
State the median.
Answer: 18
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
1. Arrange the numbers from least to greatest.
3,6,8,11,11, 12,13,15, 20
2. Start from the two ends and cross them off until you're left with what's in the middle.
6,8,11,11,12,13,15
8,11,11,12,13
11,11,12
11
3. The median is 11 because that is the number you are left with.
y=xe^x how do you find the domain of the following function
9514 1404 393
Answer:
all real numbers
Step-by-step explanation:
Basically, you look for any values of x for which the function is not defined. There are none. So, the domain is "all real numbers."
__
The function is the product of a polynomial (x) and an exponential function (e^x). Each of those kinds of functions has a domain of "all real numbers". Multiplication is also defined for all real numbers, so there is nothing about this product that would restrict the domain.
An angle is bisected by a segment forming two new angles. ∠ 1 and ∠ 2. Find m ∠DBC if m ∠2 = 27.
Wouldn’t it be still 27? So, like 27 + 27 = DBC?
Answer:
Yes, it will still be 27? So, like 27 + 27 = DBC.
Answer:
54
Step-by-step explanation:
Bisecting means to divide in half
<1 = <2
If <2 = 27 , then <1 = 27
The sum of the angle = 27+27 = 54
If DBC is the original angle, then DBC = 54
5) Choose the graph which represents the solution to the inequality:
5<-5+2x
Where is the Graph.
Step-by-step explanation:
LOL
Tasha earns $400 per week plus a commission of 10% on her weekly sales. Each week she saves One-fourth of her earnings. In the expression , what does the expression 400 + 0.1s represent in this situation?
The expression 400 + 0.1s represents her total weekly earnings.
What is an expression?An expression is written in the form of variables and constants separated by the operation of addition and subtraction. There are many types of expressions some of them are algebraic expression, trigonometric expression, logarithmic expressions, and many more.
Given Tasha earns $400 per week plus a commission of 10% on her weekly sales.
She also saves one-fourth of her earnings.
Assuming the amount she makes on sales is s.
∴ The expression that represents her total weekly earnings is,
= 400 + 0.1s.
As 10% in decimal can be written as (10/100) = 0.1.
learn more about expressions here :
https://brainly.com/question/14083225
#SPJ1
What is the slope-intercept equation for the following line? y = 1.4x + [? Enter
Answer:
y = -4x + -3
Step-by-step explanation:
We know the slope-intercept form is y = mx + b, and m is the slope of the line, and b is the y-intercept. To find the slope, we need to divide the difference of the y coordinates by the difference of the x coordinates. We already have the slope listed there which is very helpful, so now all we need to do is find the y-intercept (where the line goes through the y axis). If we count the lines on the y axis starting from the origin and going downwards, we see that the line passes through at (0,-3), so the y-intercept is -3. Now we replace the variables with the correct numbers, and the answer would be y = -4x + -3. I hope this helped!! :]
Find the exact solution to the equation 10-log8(x+2)=9
Answer:
-0.89269063 ...
Step-by-step explanation:
Put it in the calculator
write an equation for the horizontal line that passes through
the equation of the horizontal line passing through (-3, 4) is y = 4.
The equation of a horizontal line is of the form y = c, where c represents the y-coordinate of any point on the line. In this case, we are given that the line passes through the point (-3, 4). Since the line is horizontal, the y-coordinate remains constant for all points on the line.
Therefore, the equation of the horizontal line passing through (-3, 4) is y = 4. This means that no matter what x-value we choose, the y-value will always be 4.
In other words, all the points on this line will have a y-coordinate of 4.
Learn more about Horizontal line here
https://brainly.com/question/14183046
#SPJ4
Complete question is below
Write the equation of the horizontal line that passes through (-3, 4).
The equation for the horizontal line that passes through a given point is y = b.
A horizontal line is a straight line that is parallel to the x-axis. The equation of a horizontal line is of the form y = c, where c is a constant. Since the line is horizontal, the value of y remains constant for all values of x. Therefore, the equation of a horizontal line passing through a given point (a, b) is y = b.
Learn more:About equation here:
https://brainly.com/question/29538993
#SPJ11
Simplify the following Boolean function using Boolean Algebra rule. F = xy'z' + xy'z + w'xy + w'x'y' + w'xy
When the above is simplified using Boolean Algebra, we have F = x' + y' + w'xy.
What is the explanation for the above ?
We can simplify the Boolean function F = xy'z' + xy'z+ w'xy + w'x'y' + w'xy using the following Boolean Algebra rules.
Absorption - x + xy = x
Commutativity - xy = yx
Associativity - x(yz) = (xy)z
Distributivity - x(y + z) = xy + xz
Using the above , we have
F = xy'z' + xy'z+ w'xy + w'x'y' + w'xy
= xy'(z + z') + w'xy(x + x')
= xy' + w'xy
= (x' + y)(x' + y') + w'xy
= x' + y' + w'xy
This means that the simplified expression is F = x' + y' + w'xy.
Learn more about Boolean Algebra:
https://brainly.com/question/31647098
#SPJ4
Find the product. Simplify your answer.
-9(-y² + 9)
Answer:
9y²+9 that's the answer
A large company states in its promotional literature that 74% of its employees have college degrees. Assume this claim is true. If 4 employees are selected at random from this company, what is the probability that at least 1 of the selected employees has a college degree?
A. 0.0046
B. 0.2999
C. 0.7001
D. 0.9954
I know it’s not a or b
Answer:
Step-by-step explanation:
It's D 0.9954
Name the property. a + b is a real number.*
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Addition
Associative Property of Multiplilcation
Identity Property of Addition
Closure Property of Addition
Answer:
Closure Property of Addition
Step-by-step explanation:
Answer:
\(a + b = b + a \: \forall \: a, \: b \in \: \R \ \\ a \times b = b \times a\: \forall \: a, \: b \in \: \R \\ (a + b) + c = (b + c) + a\: \forall \: a, \: b, \: c, \in \R \\ (a \times b) \times c = (b \times c) \times a \: \forall \: a, \: b, \: c, \in \R \\a+0=0+a=0 \: \forall \: a,\in \: \R \\a +b=c\: \forall \: a, \: b, \: c, \in \R \)
Eight cards are labeled with numbers 2,3,4,5,7,9,10,11 respectively. One card is selected. What is the probability that the card is a prime number?
Answer:
62.5
Step-by-step explanation:
Because there are 5 prime numbers so you have to divide 100 by 8 and then multiply by 5 so the answer is 62.5
pls help with math!!!!
Answer:
Cubic
Step-by-step explanation:
It's cubic because the 3 on top of the n means that it's cubic. Also since it's cubic, when you graph it it will show that it's a cubic function. Hope this helps!
Membership in Mensa requires a score in the top 2% on a standard intelligence test. The Wechsler IQ test is designed for a mean of 100 and a standard deviation of 15 , and scores are normally distributed. a. Find the minimum Wechsler IQ test score that satisfies the Mensa requirement. b. If 4 randomly selected adults take the Wechsler IQ test, find the probability that their mean score is at least 131. c. If 4 subjects take the Wechsler IQ test and they have a mean of 132 , but the individual scores are lost, can we conclude that all 4 of them are eligible for Mensa?
To determine the eligibility of each individual, their individual scores would need to be known and compared to the Mensa requirement.
a. The minimum Wechsler IQ test score that satisfies the Mensa requirement is approximately 130.
b. The probability that the mean score of 4 randomly selected adults on the Wechsler IQ test is at least 131 can be calculated using the Central Limit Theorem. Since the sample size is relatively large (n = 4), we can approximate the sampling distribution of the mean as normal.
Using the mean (μ = 100), standard deviation (σ = 15), and sample size (n = 4), we can calculate the z-score for a mean score of 131:
z = (131 - 100) / (15 / √4) = 4.20
Using the z-table or a statistical software, we can find the probability associated with a z-score of 4.20. This probability corresponds to the area under the normal curve to the right of the z-score.
c. We cannot conclusively determine that all 4 subjects are eligible for Mensa based solely on their mean score of 132, as the individual scores are lost. The mean score provides information about the group's performance on average, but it doesn't reveal the distribution or variation within the group. It's possible that some individuals in the group scored significantly higher or lower than the mean, affecting the eligibility of all 4 subjects.
Learn more about intelligence test: brainly.com/question/6352562
#SPJ11
Determine whether the function f(x) = 8(0.61)^x shows exponential growth or decay
need help ASAP
please help
Answer:
B. x = 43Step-by-step explanation:
Given is an isosceles triangle.
Sum of interior angles is 180°:
x + x + 94° = 180°2x = 180° - 94°2x = 86°x = 43°Correct choice is B
Find two integers whose sum is -3 and product is -18
let two integers be x and y
A.T.Q
x+y= -3
or, x= -3-y(i)
and xy= -18
or,(-3-y)y= -18[by(i)]
or,- -3y-y²= -18
or,-y²= -18+3
or, -y²= -15
or, y²=15
therefore y=✓15
from (i)
x= -3-✓15
y=√15
Answer:
3 and -6
Step-by-step explanation:
1. First, let's find the factors of -18
-1 and 18, or -18 and 1-2 and 9, or -9 and 2-3 and 6, or -6 and 32. Next, we have to find which of the factors add up to -3.
\(-1 + 18 = 17\) \(-18+1=-17\) \(-2+9=7\) \(-9+2=-7\) \(-3+6=3\) \(-6+3=-3\)3. Great! Now that we found the factors that result in a product of -18 and a sum of -3, the factors are 3 and -6.
four integers are added to the set {6,7,8,8,11} increasing the mean, median and mode each by 2. what is the greatest integer in the new set?
The greatest integer in the new set is, 20.
What is mean, median and mode?
Adding the numbers together and dividing the result by the total number of numbers in the list yields the arithmetic mean. An average is most frequently used to refer to this. The middle value in a list that is arranged from smallest to greatest is called the median. The value that appears the most frequently on the list is the mode.
The given integers are, 6, 7, 8, 8, 11.
Mean = \(\frac{6 +7+8+8+11}{5} =\frac{40}{5} =8\)
Median = 8,
Mode = 8
Four integers are added to a group of integers data increases by 2 each.
Therefore, mode = 10.
In group of integers 10 must be 3 times, therefore Let fourth integer = x
Group of integers = 6, 7, 8, 8, 10, 10, 10, 11 and x.
Therefore, the new mean is, 10
Mean = \(\frac{6+7+8+8+10+10+10+11+x}{9} = 10\)
\(\frac{70+x}{9} = 10\\ 70+x=90\\x=90-70\\x=20\)
Therefore, 20 is the greatest integer in the new set.
To know more about mean, median and mode, click on the link
https://brainly.com/question/14532771
#SPJ4
Which fraction is greater than the fraction represented by the moder?
17
O 16
OR
이
Please solve this for me
PLEASE HELP ME! I WILL NAME YOU THE BRAINLIEST IF YOU ANSWER! WORK DOES NOT NEED TO BE SHOWN PLEASE HURRY! THE THING IS IN THE PHOTO! PLEASE HELP AND PLEASE HURRY! THIS IS DUE TONIGHT!
Answer: Y+5= 2/9(X+2)
Answer: (x + 2) = 2/9 (y + 5)
Step-by-step explanation:
y – y₁ = m(x – x₁)