Answer:
I don't know
Step-by-step explanation:
There is none
Walter Slater sells appliances and earns 2.5% commission in addition to his salary. Last month he sold
$63,000 in appliances. How much was his commission check?
Answer:
1575
Step-by-step explanation:
Comment
You are just asked to figure out the commission. The rule is to place 100 underneath what is given as the %. In effect, % = x / 100 in decimal form. In this case x = 2.5
So the % is 2.5/100 = 0.025 as a decimal
So commission is 63000 * 0.025 = $1575 commission
I need help on this question
Guys i need helps is this right?
What is the length of side BC to one decimal place?
Answer:
BC ≈ 9.0
Step-by-step explanation:
using the tangent ratio in the right triangle
tan42° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{BC}{10}[/tex] ( multiply both sides by 10 )
10 × tan42° = BC , then
BC ≈ 9.0 ( to 1 dec. place )
Adam's school is 12 miles from his house. It takes his older brother
20 minutes to drive him to school.
If Adam's brother drives s mph faster than usual, how fast will
they reach the school?
Sid burrowed a single payment loan at $10,000 at an interest rate of 5.5%. The term of the loan is 120 days. What is the maturity value of his loan at exact interest?
For this case
P = 10 000
i=0.055
t=120
After you compute the formula you would get
A = 6 170 141
30 points asap
The equation y = –117.5 x + 31,379.9 gives the population y of a city x years after 1975. What is the real-world meaning of the rate of change and the y-intercept?
Rate of Change: The city’s population decreases by about 118 people each year. Y-intercept: In 1975, the city’s population was about 31,380 people.
Rate of Change: The city’s population decreases by about 31,380 people each year. Y-intercept: In 1975, the city’s population was about 118 people.
Rate of Change: The city’s population decreases by about 1975 people each year. Y-intercept: In year 0, the city's population was about 118 people.
The equation y = –117.5 x + 31,379.9 gives the population y of a city in x years after 1975 , in real world ,
Rate of Change means The city’s population decreases by about 118 people each year , and Y-intercept means In 1975, the city’s population was about 31,380 people.
In the question ,
the equation that gives the population y of a city in x years is
y = –117.5 x + 31,379.9
let us find the population for 1976
So , x = 1 ,
we get , y = –117.5(1) + 31,379.9
y = –117.5 + 31,379.9
y = 31262.4
So, the population in the year 1976 is 31262.4
change in population = population in 1976 - population in 1975
= 31262.4 - 31,379.9
= -117.5
≈ -118
to find the population in the year 1977
x = 2 ,
we get , y = –117.5(2) + 31,379.9
= –235 + 31,379.9
= 31144.9
change in population = population in 1977 - population in 1976
= 31144.9 - 31262.4
= -117.5
≈ -118
From above , we can see that the population is decreasing in the year 1976 and 1977 , by 118 people,
hence , we can say that , the city’s population decreases by about 118 people each year
For population in 1975 , we put x=0 ,
So , y = –117.5(0) + 31,379.9
= 31379.9
≈ 31380
Therefore , the equation y = –117.5 x + 31,379.9 gives the population y of a city in x years after 1975 , in real world ,
Rate of Change means The city’s population decreases by about 118 people each year , and Y-intercept means In 1975, the city’s population was about 31,380 people .
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please help this worth half ny grade
Answer:
see image
Step-by-step explanation:
See attached image
What is the range for -|x+3|
The function is -|x+3|. The range is (-∞,0].
Given that,
The function is -|x+3|
We must determine the function's range.
A function's domain and range are its constituent parts. The domain of a function is the set of all possible input values, whereas the range of a function is its potential output. Range, Domain, and Function. A is the domain and B is the co-domain if a function f: A → B exists that maps every element of A to an element in B.
The function is -|x+3|
The domain is (-∞,∞)
The range is (-∞,0]
Therefore, the range is (-∞,0].
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Did anybody see my question for 24 I really need help
Answer:
48
hope its right sorryyyy
I need help finding the measurements of the numbered angles Question 1 and 2
In figure one the value of ∠2 = 65 ° ∠1 = 115° .
In figure two the value of ∠2 = 74° ∠1 = 106°.
What are corresponding angles in parallels lines?In the case of parallel lines, corresponding angles are congruent. Corresponding pairs are all angles that are situated in the same location with respect to the parallel and transversal lines. According to the definition of corresponding angles, when three parallel lines intersect two of them, the angles that are present at each intersection and are in the same relative position are said to be corresponding angles. Alternate angles, co-Interior angles, and matching angles are three facts regarding angles in parallel lines that we use to do this. When a transversal crosses two parallel lines, alternate and matching angle pairs coincide. Only when a transversal crosses two parallel lines perpendicularly are consecutive angles congruent. When a transversal intersects two parallel lines, however, subsequent angles are not necessary.
Figure 1
Given angle = 65°
= ∠2
Cause they are corresponding angles.
∠1 + ∠2 = 180°
∠1 = 115
Figure 2
Given angle = 74 °
= ∠ 2
Cause they are corresponding angles.
∠1 + ∠2 = 180°
∠1 = 106°
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NuHome Movers charges $95 per hour for loading/unloading services and $80 per hour for packing/unpacking services. Their charge is $2.50 per mile for truck rental. Jay is moving a distance of 200 miles and needs 9 hours of loading/unloading and 7 hours of packing/ unpacking. What will his moving cost be if the service also charges 7.25% tax on the total?
Answer:
Total moving cost = $2,053.84
Step-by-step explanation:
Let's write down Jay's requirements and costs associated
9 hours of loading/unloading at $95 per hour = 95 x 9 = $855
7 hours of packing/unpacking at $80 per hour = 80 x 7 = $560
200 miles of transportation at $2.50 per mile = 2.50 x 200 = $500
Total before-tax cost of moving = $855 + $560 + $500 = $1, 915
Sales Tax is additional at 7.25%
Sales Tax amount = 1915 x 7.25%
= 1915 x 7.25/100 = 138.8375 = $138.84
Total cost including sales tax = 1915.00 + 138.84 = $2,053.84
What is the answer to the problem for sin, sec, tan. I don’t really need a detailed explanation just the answer. Thank you.
Answer:
[tex]\begin{gathered} \sin(\theta)=-0.35 \\ \\ sec(\theta)=-1.07 \\ \\ \tan(\theta)=0.38 \end{gathered}[/tex]Step-by-step explanation:
Remember that for a given terminal point of an angle, we define those trigonometric functions as following:
[tex]\begin{gathered} \sin(\theta)=\frac{y}{\sqrt{x^2+y^2}} \\ \\ sec(\theta)=\frac{\sqrt{x^2+y^2}}{x} \\ \\ \tan(\theta)=\frac{y}{x} \end{gathered}[/tex]This way, we'll have that:
[tex]\begin{gathered} \sin(\theta)=-0.35 \\ \\ sec(\theta)=-1.07 \\ \\ \tan(\theta)=0.38 \end{gathered}[/tex]In the space provided below, solve the inequality x/8 - 13 > -6 for x algebraically. Show all work.
Answer:
x > 56
Step-by-step explanation:
x/8 - 13 > -6
x/8 > 7
x > 56
Calculate the volume of liquid that would fill the bowl of the glass. SHOW ALL WORK!!
Answer:
49.7 cm³Step-by-step explanation:
We need to find the volume of the cone with:
Diameter = 5 cm andSlant height = 8 cmFirst, find the height, using Pythagorean, where hypotenuse of the triangle is 8 cm and base is the radius = 5 cm/2 = 2.5 cm:
[tex]h = \sqrt{8^2-2.5^2} =\sqrt{57.75} =7.6[/tex] (rounded)Find the volume of the cone:
[tex]V=\pi r^2h/3=3.14*2.5^2*7.6/3 = 49.7[/tex] (rounded)Theatre tickets cost either $30 or $42. One evening twice as many $30 tickets are sold as $42 tickets and the total money taken is $18564. Find the total number of tickets that are sold.
(b) what are the quotient and remainder when −34 is divided by 6? remember that the remainder r has to satisfy 0≤r<6, and in particular cannot be negative.
The quotient and remainder when −34 is divided by 6 is -6 and 2 respectively.
What is termed as the division?Multiplication is the inverse of division. If 3 groups of 4 add up to 12, 12 divided into three equal groups adds up to 4 in each cluster in division.Each component of a division equation is given its own name.Dividend: The dividend is just the number divided during the division process.Divisor: The divisor is the number whereby the dividend is divided.Quotient: A quotient is an outcome of the division process.Remainder: We can't always divide things exactly. There could be an extra number. The leftover number is known as the remainder.Dividend = Divisor x Quotient + Remainder
For the given question,
The number -34 is to be divided by 6.
In this, dividend is -34 and divisor is 6.
Now while dividing the number comes should be less than -34.
Thus, -34 divided by 6 gives quotient as -36 and remainder as 2.
Where, the remainder r has to satisfy 0≤r<6, and in particular cannot be negative.
Therefore, the quotient and remainder when −34 is divided by 6 is -6 and 2 respectively.
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Whats the answer? For a b c d
By evaluating the given linear equation, we will see that the missing values in the table are:
a = -3b = 1c = 3d = 5How to get the missing values?
Here we have a table that relates the inputs, x, with the outputs, y, of the linear equation:
y = 2x + 1
To find the missing values we need to evaluate the linear equation in the given inputs, a is the value that we get when x = -2, evaluating in that we get:
a = 2*(-2) + 1
a = -4 + 1
a = -3
The value of b is what we get when x = 0.
b = 2*0 + 1
b = 1
The value of c is what we get when x = 1.
c = 2*1 + 1
c = 3
The value of d is what we get when x = 2.
d = 2*2 + 1
d = 4 + 1
d = 5
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The half-life of a radioactive kind of uranium is 2 years. How much will be left after 4 years, if you start with 776 grams of it?
ANSWER
194 grams
EXPLANATION
We have that the half life of the uranium is 2 years.
This means that it will take 2 years for the uranium to decay to half of its original value.
The formula for exponential decay is:
[tex]y=ab^t[/tex]where y = the value after the decay
a = initial value
b = rate of decay.
t = number of years
First, we have to find b.
We have that 776 grams of uranium will decay to half its amount (388 grams) in 2 years. This means that:
[tex]\begin{gathered} 388\text{ = 776 }\cdot b^2 \\ \Rightarrow b^2\text{ = 388 / 776} \\ b^2\text{ = 0.5} \\ b\text{ = }\sqrt[]{0.5} \\ b\text{ = 0.707} \end{gathered}[/tex]Therefore, after 4 years (t = 4), the amount of uranium left will be:
[tex]\begin{gathered} y\text{ = 776 }\cdot(0.707)^4 \\ y\text{ = 776 }\cdot\text{ 0.25} \\ y\text{ = 194 grams} \end{gathered}[/tex]That is the amount of uranium that will be left after 4 years.
If you leave $2500 in an
account earning 9% interest, compounded daily, how
much money will be in the account after 4 years?
The amount of money that will be in the account after 4 years is $3,583.16
How many times is interest compounded annually?
The fact that the interest rate of 9% in this scenario is compounded daily means that the interest is compounded every day of the year, 365 days in a year, hence, our future value formula needs an adjustment for daily compounding as shown below:
FV=PV*(1+r/m)^(n*m)
FV=the accumulated balance in the account after 4 years=unknown
PV=amount invested or deposited initially=$2500
r=annual interest=9%
m=number of times in a year that interest is compounded=365
n=number of years=4
FV=$2500*(1+9%/365)^(4*365)
FV=$3,583.16
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Please help me asap (20 points)
Answer:
1.7^28/1.6^21 the second option.
Step-by-step explanation:
I have a question about exponential functions I will submit a photo
The values are given as:
(a) Approximate the value of e^6 to 4 decimal places:
The value of
[tex]e^6=403.42879[/tex]The approximate value to 4 decimal places is 403.4288.
(b) Approximate the value of e^(-0.66) to 4 decimal places:
[tex]\text{The value of e}^{-0.66}=0.5168513344916[/tex]Approximated value to 4 decimal places is 0.5168..
In the diagram, ABC is a straight line.
Work out the size of the angle marked x.
Answer:
See below
Step-by-step explanation:
1 note the other angle at d = 62 ( isosceles triangle)
2 x = 180 - 62 - 62 -25
Answer:
x = 31°
Step-by-step explanation:
since AB = BD then Δ ABD is isosceles with base angles congruent, so
∠ ADB = ∠ BAD = 62°
the sum of the 3 angle in Δ ABD = 180° , so
∠ ABD = 180° - 62° - 62° = 180° - 124° = 56°
∠ ABD and ∠ CBD are a linear pair and sum to 180° , so
56° + ∠ CBD = 180° ( subtract 56° from both sides )
∠ CBD = 124°
the 3 angles in Δ CBD sum to 180° , then
x + 124° + 25° = 180°
x + 149° = 180° ( subtract 149° from both sides )
x = 31°
In a class, 2/5 of the students are less than 115 cm in height and 7/10 are less than 130 cm in height. what fraction are more than 115 cm but less than 130 cm?
3
1
1. How many groups of 1/8 are in 3?
8
2. Evaluate.
5
groups
|||
Answer:
answer to question 1: 24
Explanation: (btw sorry i couldn't answer question 2) multiply 8 times 3 and you get the answer
The required group of number is 24 of 1/8 in 3.
What is algebra?Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.
The given numbers are 1/8 and 3.
Let there are n number of groups of 1/8 in 3.
To find the value of number of groups n,
Use equation form,
1/8 n = 3
n = 3 x 8
n = 24.
There are 24 groups of 1/8 in 3.
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Help!! Which of the following is a true statement of the figure ?
Answer:
3rd option
Step-by-step explanation:
In the 3rd option, two sides from each triangle in the large triangle are compared.
determine whether the function has a minimum or maximum f(x)=-2/3x+5 if x<0 -x if 0 4 -x^2+4x+4 if x>4
The function has no minimum or maximum
How to determine the minimum or the maximum of the functionThe function is given as
f(x) = -2/3x + 5 if x < 0
f(x) = -x^2 + 4x + 5 if x > 4
The above function is a piecewise function
And the type of functions in the piecewise function are
Linear functionQuadratic functionA linear function does not have a minimum or a maximum
This means that the function would have no minimum or maximum
Hence, the minimum or the maximum value of the function does not exist
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Please help thank you
The value of [x] in the figure given is 54.
What are Alternate interior angles?
Alternate interior angles are the angles formed when a transversal intersects two coplanar lines. They lie on the inner side of the parallel lines but on the opposite sides of the transversal.
Given are two parallel lines.
The two lines are parallel and are intersected by a transversal. Assume
that -
∠1 = (x +3)°
∠2 = (2x - 61)°
Now, the angle at the vertically opposite position with respect to ∠2 will have same measurements. Let's call this ∠3 = (2x - 61)°.
Now, ∠3 and ∠1 are alternate interior angles and their measures will be equal. So, we can write -
∠1 = ∠3
x + 3 = 2x - 61
3 + 61 = 2x - x
x = 64
The value of [x] is 54
Therefore, the value of [x] in the figure given is 54.
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What is the measure of m?n20m5= [?]?]Vm =Give your answer in simplest form.Enter
To answer this question, we need to remember the next theorem:The
We have that the hypotenuse is the largest side of a right triangle. In this case, it is equal to (5 + 20) = 25 units.
The leg of the right triangle we need to find is m, and we know that the projection of m on the hypotenuse is 5 units.
Theref
Which table represents a linear function?
x y
1 3
2 7
3 11
4 15
x y
1 3
2 8
3 15
4 21
x y
1 3
2 9
3 3
4 9
x y
1 3
2 9
3 27
4 81
The first table represents a linear function.
What is a linear function?A linear function is one that changes at a constant rate. Any linear function has an increase or decrease that is constant. The slope of the line, denoted by the letter m in the equation y = mx + b, is this constant rate of change.
Given are the tables with values of x and y.
In a table of linear functions, the ratio of the difference in y values to the difference in x values is consistently constant.
The first table is given as:
x y
1 3
2 7
3 11
4 15
Only table 1 in the provided tables represents a linear function.
This is because the equivalent values of y change by 4 when the value of x changes by 1.
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