Answer:
54,710
Step-by-step explanation:
multiply the average by 5 to get the amout that they should all have togetehr (271,000) and the add the 4 people's money together (216,290) and then subtract them
The annual income of the fifth salesperson is $54710 if the average annual income for five salespeople last year was $54,200.
What is average?It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
It is given that:
The average annual income for five salespeople last year was $54,200. Four of the salespeople earned these annual amounts: $58,125; $53,190; $48,975 and $56,000.
Let x be the annual income of the fifth salesperson:
$54,200 = ($58,125+$53,190+$48,975+$56,000+x)/5
271000 = 216 290 + x
x = $54710
Thus, the annual income of the fifth salesperson is $54710 if the average annual income for five salespeople last year was $54,200.
Learn more about the average here:
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Which of the following is equivalent to logb sqrt 57/74
Please help 30 points
Answer (see photo below):
I hope this helps!
Answer:
Step-by-step explanation:
First, we find the formula. Since we have a slope and only one point we can use the Slope Form, which is "y - y1 = m(x - x1)". Now to find The Slope Intercept Form.
Formula = y - y1 = m(x - x1)
Slope = 3/4 or 0.75
Point = (2,-3)
y - y1 = m(x - x1)
y - (-3) = 3/4(x - 2)
y + 3 = 3/4x - 1.5
y = 3/4x - 1.5 - 3
y = 3/4x - 4.5
Graph is shown below.
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V
Bonus (3 points)
Graph the parabola using the indicated information (you may NOT use decimals) You must show all work to
receive credit.
y = 2^2 + 17x +30
a. equation of the axis of symmetry
b. coordinates of the vertex
c. calculate the coordinates of the x-intercepts
Answer:
c
Step-by-step explanation:
The expression (x3)(x-15) is equivalent to xn. What is the
value of n?
Answer:
-45 is xn
The x=3 and x=-15 multiply them together which is the answer to xn
Find the point that is a solution for y=6x+8
Answer:
(-8/6, 0) is the answer
first is the absicca and the second is the ordinate
I need help with this question pls
Answer:
it C
Step-by-step explanation:
just think about it
( 2 + 2i )^20=
(a) 2^20
(b) 2^30
(c) 2^20i
(d) -2^30
24
34
22i
-34
yup your welcome
write an inequality to represent: ten is no more then four then a number
Answer:
10 ≤ x - 4
Step-by-step explanation:
Answer:
10 < x-4
Step-by-step explanation:
Explain why a + b = d.
B
A
C
swer
Answer:
Explanation below
Step-by-step explanation:
Angles in a Triangle
There are two basic relations of angles we need to recall:
Supplementary angles add up to 180°Internal angles of a triangle add up to 180°Note a, b, and c are the internal angles of the triangle. The angle c is what is needed to a+b to complete 180°, thus:
c = 180 - ( a + b )
Also, note c and d are supplementary angles. Again, c is what is needed to d to complete 180°, thus
c = 180 - d
From the two relations above, it follows that:
a + b = d
Please be quick need it now
Answer:
b(8b+7)
trust meeeeeee
A hungry Emperor penguin was swimming 21 feet below sea level. It swam up 9 feet to eat a fish. What is the position of the penguin now relative to sea level?
Answer:
Step-by-step explanation:
21 feet below is written as -21
9 feet up is written as +9
So we have -21 + 9 = -12 or 12 feet below sea level
Which could be the length of DB
Answer:
5
Step-by-step explanation:
If AD was 6, and D isn't in the middle of the triangle, then DE must be a number lower than 6.
Which the only number like this is 5.
Hope this Helps!
:D
someone travels 200 miles in 4 hours how many miles per second
Answer:
0.01
Step-by-step explanation:
What is the point-slope form of an equation for a line that passes through the point (5, –5) with the slope of 2?
Answer:
y-5=2(x+5)
Step-by-step explanation:
What does x equal In this question?
Answer:
60
Step-by-step explanation:
A triangle is 180 degrees, add 87 and 33 and get 120. Subtract 120 from 180 and get 60 ;)
Answer:
In this equation x = 60
Step-by-step explanation:
I just added 33 and 87 and got 120.
A triangle has 180 degrees so i did 180 - 120 and got 60
Then i checked my work by adding 60 + 33 + 87 and got 180 \
That shows 60 is right
pls mark brainliest
Evaluate 1/6t+1/12 when t=1/2
Answer:
1/6
Step-by-step explanation:
You're welcome :)
PLEASE HELP! 80 POINTS AND BRAINLIEST TO FIRST ANSWER!
A rectangular pen is constructed with 300m of fencing against a barn wall. What dimensions give the maximum area?
Show that x + y : x - y= 3 : 2
Answer:
x + y : x - y = (5/2+1/2) : (5/2-1/2)
x + y : x - y = 3 : 2
Therefore, x + y : x - y= 3 : 2 is proved.
Step-by-step explanation:
Given
x + y : x - y = 3 : 2
As
[tex]x + y = 3[/tex]
[tex]x - y = 2[/tex]
Solving to find x and y
[tex]\begin{bmatrix}x+y=3\\ x-y=2\end{bmatrix}[/tex]
[tex]x-y=2[/tex]
[tex]-[/tex]
[tex]\underline{x+y=3}[/tex]
[tex]-2y=-1[/tex]
[tex]\begin{bmatrix}x+y=3\\ -2y=-1\end{bmatrix}[/tex]
solve for y
[tex]-2y=-1[/tex]
Divide both sides by 2
[tex]\frac{-2y}{-2}=\frac{-1}{-2}[/tex]
[tex]y=\frac{1}{2}[/tex]
[tex]\mathrm{For\:}x+y=3\mathrm{\:plug\:in\:}y=\frac{1}{2}[/tex]
[tex]x+\frac{1}{2}=3[/tex]
[tex]x+\frac{1}{2}-\frac{1}{2}=3-\frac{1}{2}[/tex]
[tex]x=\frac{5}{2}[/tex]
so
[tex]x=\frac{5}{2},\:y=\frac{1}{2}[/tex]
Thus,
x + y : x - y = (5/2+1/2) : (5/2-1/2)
x + y : x - y = 3 : 2
Therefore, x + y : x - y= 3 : 2 is proved.
When asked about favorite Thanksgiving leftovers, 9% of the people said turkey and 7100 7 100 said mashed potatoes. Which food is more popular? How do you know?
Answer:
Turkey is more popular
Step-by-step explanation:
Turkey is more popular
From the given information:
We are being informed that 9% of the people said turkey; &
7/100 said mashed potatoes.
The percentage of people that chose mashed potatoes = 7%
This implies that, in the given survey, the percentage of people who chose turkey is quite higher than those who chose mashed potatoes which makes turkey to be more popular.
Betty bought a new pair of jeans for $45 and three new sweaters for $141. How much was one sweater, if they all cost the same amount? Write and solve an equation to see how much one sweater cost.
Answer:
47
Step-by-step explanation:
You would divide 141 by 3 because there was three sweatshirts bought, so the answer from that would be the price of one.
141/3=47
What is the y-intercept of the line that passes through the points (2, -1) and
(-3, 9)?
Answer:
the y intercept is (0, 3)
Step-by-step explanation:
y = mx + c
where m is the slope and c is the y-intercept
[tex]m = \frac{y_2 - y_1}{x_2 - x_1 }[/tex]
[tex]m = \frac{9 - -1}{-3 - 2 }[/tex]
[tex]m = \frac{10}{-5}[/tex]
[tex]m = -2[/tex]
hence, y = -2x + c
input a pair of values, in this case i will use (2, -1)
-1 = -2(2) + c
-1 = -4 + c
-1 + 4 = c
3 = c
I dont get this can you help me?
Answer:
C
Step-by-step explanation:
In the Diagram in the show your work area, what is the value of x?
Show Your Work
Someone help please
can someone please help me
Answer:
a. h(t) = 5t + 10
b. 70
c. h(5) = 35 means that in 5 seconds, it will be 35 feet above ground.
Step-by-step explanation:
a. Since the elevator is already 10 feet of the ground, u have to add that in the equation. And since it's 5 feet per second, 5 will be a multiplier so:
h(t) = 5t + 10
b. We have the equation already and in the equation it said that "t" represents the seconds so just replace 1 with 12:
h(12) = 5(12) + 10
h(12) = 60 + 10
h(12) = 70
c. Refer to b that we just did if u will, "t" represents seconds so h(t) becoming h(5) means 5 seconds. So h(5) = 35 means that in 5 seconds, it will be 35 feet above ground.
could u help me please?
Answer: the answer is b but make sure
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
D is false. If -7,3 was an answer the equation would look like this
y+3=-2(x+7)
Have a nice day,
PumpkinSpice1
logbase2 ²/log base 2 ⁴
Answer:
Please use LaTeX I Assure you it is great
Step-by-step explanation:
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\frac{log 2^{2} }{log 2^{4} } =\frac{2 log ~2}{4 log~2} =\frac{2}{4} =\frac{1}{2}[/tex]
Kim ate 50% of candles in the bag if Kim ate 35 candies how many are left
Answer:
If Kim eats half of the bag, 50%, and 50% is 35 then the other 50%, the other half, is also 35. That means if Kim ate 50% of candies, 35, she has 35 candies left.
Please help me you’ll get brainlest!
4/5
Answer:A
Step-by-step explanation:
Answer:
3rd answer option
Step-by-step explanation:
√26 ≈ 5,1
√31 ≈ 5,6
Compute the sum (Worth 15 Points!)
[tex]\[51 \cdot 23 + 49\cdot (-11)+49 \cdot 11 + 51 \cdot (-23).\][/tex]
Answer:
268.
Step-by-step explanation:
So we have 51*23+49+49*11*-11+51*-23
2(51+23+49+11) ( the 2 negatives cancel out)
So, 51+23+49+11 is 134.
2(134)
or 268.
Hope this answers your question!!!
Answer:
268 :)
Step-by-step explanation:
PLEASEEEEE HELP WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Triangle HJK is transformed to similar triangle H’J’K’:
What is the scale factor of dilation?
1/2
1/3
1/4
1/5
Answer:
the scale factor is 1/4 because the big one has four squares on the bottom so it's four times as big