the number of employees for a certain company had been decreasing each year by 8%. If the company currently has 860 employees and this rate continues, fund the number of employees in 19 years.
Answer:
approximately 684 employees
Step-by-step explanation:
So this is an exponential equation since there is a dividing decrease, not just subtracting. The standard equation is,
[tex]y = a(b)^{x} [/tex]. [tex]a[/tex] is initial value (860 employees) and [tex]b[/tex] is the change [tex]-8%[/tex] or [tex]0.92[/tex]. The [tex]x[/tex] would be the period of time, [tex]19[/tex]. This equation would be [tex]y = 860(0.92)^{19} [/tex].
After solving, the equation would become the following: [tex]y = 860(0.92)^{19} = 176.387242442≈176[/tex]. After subracting the number of lost employees from orginal employees ([tex]860-176=684[/tex]), we see that the company will have approximately 684 employees left after 19 years.
What is the value of x?
A. 6
B. 5
c. 4
D.3
Answer:
D
Step-by-step explanation:
CD is an angle bisector and divides the opposite side into segments which are proportional to the other 2 sides, that is
[tex]\frac{BC}{AC}[/tex] = [tex]\frac{BD}{AD}[/tex] , substitute values
[tex]\frac{4}{3}[/tex] = [tex]\frac{x}{2.25}[/tex] ( cross- multiply )
3x = 9 ( divide both sides by 3 )
x = 3 → D
Find the product of the term 3ab
Carlo places 6 apple slices on one side of a pan balance and 12 orange slices on the other side. Each side weighs 48 grams.
What is the weight of one apple slice? One orange slice?
Answer:
apple slice = 8 grams
orange slide = 4 grams
Step-by-step explanation:
48/6 will give you the weight of each apple slice
48/12 will give you the weight of each orange slice
How do I find the y-intercept of a graph?
Answer:
the y intercept on a graph is the line that goes up and down
Step-by-step explanation:
Step-by-step explanation:
Every point on the y-axis has 0 as its x-coordinate. The y-intercept is the point of intersection of the graph and the y-axis.
To find the y-intercept, let x = 0 in the equation of the graph and solve for y. The value of y is the y-intercept.
For example, what is the y-intercept of
2x + 3y = 6
Let x = 0.
2(0) + 3y = 6
Solve for y.
3y = 6
y = 2
The y-intercept is 2.
Imagine that you live near a skatepark. As part of some park renovations, the city plans to make the square skatepark 5 meters shorter in one direction and 6 meters longer in the other. What is the area of the new skatepark?
(please include the solving steps in your answer)
Answer:
x² + x - 30Step-by-step explanation:
Let the initial side be x
New skatepark has dimensions:
x - 5 and x + 6Its area is:
(x - 5)(x + 6) = x² + 6x - 5x - 30 = x² + x - 30What is the equation in slope-intercept form of the line that crosses the y-axis at 6 and is perpendicular to the line represented by y= (-4/9)x+5?
Answer:
y=(9/4)x+6
Step-by-step explanation:
If it crosses at 6 then it will be +6. A perpendicular line has a slope that is the opposite reciprocal of your current slope.
Someone plz help me I will give brainliest
Answer:
275 non spectators
Step-by-step explanation:
1. Subtract
42,500 - 31,750 - 10,475 =
275
2. Get answer
275 non-spectators
A circle has radius 5 units and the equations of its two diameter are 2x-y=5 and x-3y+5=0.find the equations of the circle and show that it passes through the origin.
Answer:
is a required equation. but I forgot to show that it passes through the origin.sorry for that.we had done in previous grade.
Solve the formula a(m+r) -t=s for a.
9514 1404 393
Answer:
a = (s +t)/(m +r)
Step-by-step explanation:
Add t, then divide by the coefficient of 'a'.
[tex]a(m+r)-t=s \qquad\text{given}\\\\a(m+r)=s+t \qquad\text{add $t$}\\\\\boxed{a=\dfrac{s+t}{m+r}} \qquad\text{divide by $m+r$}[/tex]
Bought an antique for $25. He would it for 30% more than what he paid.
Answer:
$32.50
Step-by-step explanation:
multiple 25 by 30 then divide it by 100 then add your 7.5 to 25 and that's ur answer
greta has piece of cloth that is 9 yards long she cut it into pieces that are each 1\3 how many pieces does greta have now
Answer:
27
Step-by-step explanation:
9 divided by 1/3 is 27
Which is the graph of y= 3/4x - 3?
Please help me asap!!
Answer:
the second one ( - 3, -6)
Step-by-step explanation:
I used the method of substitution
Answer:
(-3, -6)
Step-by-step explanation:
Darrell earns $75 per week walking dogs and cutting grass. He carns $10 more cutting grass than walking dogs. How much does Darrell
earn cutting grass?
3x + 2y = -9
X – Y = -13
Answer:
x =-7. .y=6
Step-by-step explanation:
3x + 2y = -9
(X – Y = -13)×3
3x + 2y = -9
3x – 3y = -39
5y = 30
y=6
3x +2(6)=-9
3x=-21
x=-7
If 4x+ 3 = 9x − 4, then x = ?
F. 75 G. 57 H. 713 J. 15 K. −15
Answer:
Step-by-step explanation:
Jhbiko
Answer:
7/5
Step-by-step explanation:
4x+3=9x-4
3=9x-4-4x
3=5x-4
3+4=5x
7=5x
7/5=x
x= 7/5
is this one of the choices I hope it helps.
A random sample of Maxwell High School students showed that 7 out of every 12 students ride the bus to school . Maxwell High School has a total of 840 students . Based on the sample , how many students most likely ride the bus to school ?
Plsss fast
We would expect about 490 students to ride the bus to school based on the sample
What is random sampling?It is the way of choosing a number of required items from a population given.
Each item has an equal probability of being chosen.
We have,
If 7 out of every 12 students ride the bus to school, then the proportion of students who ride the bus is 7/12 or approximately 0.5833.
If we assume that this proportion holds true for the entire school, then we can estimate the number of students who ride the bus as follows:
Number of students who ride the bus = Proportion who ride the bus x Total number of students
Number of students who ride the bus = 0.5833 x 840
Number of students who ride the bus = 489.99
Since we cannot have a fractional number of students, we would round this estimate to the nearest whole number.
Thus,
We would expect about 490 students to ride the bus to school based on the sample
Learn more about random sampling here:
https://brainly.com/question/12719656
#SPJ3
What’s the X coordinate of the vertex
Step-by-step explanation:
f(x) = (x + 3)(x - 5)
In a Quadratic curve, the x-coordinate of the vertex is equidistant to the x-intercepts. (If they exist)
In f(x), our x-intercept are x = -3 and x = 5.
=> (-3 + 5)/2 = 1.
Hence the x-value of the vertex is 1.
To find the quotient of
8
1
3, multiply 8 by
-100
- اند
O
3.
ОО
8.
Answer: 3 hope this helped (:
Devon forgets to pay his credit card bill for three months. Which of the following statements is TRUE? *
1. A Late Payment fee will not be charged to his account.
2. A Balance Transfer fee will be charged to his account.
3. His A.P.R. (interest rate) will rise to 30.24% until he pays back the amount he owes.
4. His A.P.R. (interest rate) will rise to 30.24% and stay there until he makes six consecutive minimum payments .
The answer is 3. His A.P.R. (interest rate) will rise to 30.24% until he pays back the amount he owes.
Solve for the value of s.
Answer:
6s+2=4s-2
-4s -4s
2s+2=-2
-2 -2
2s=0
/2 /2
s=undefined or x=0
In ΔIJK, k = 59 cm, i = 80 cm and ∠J=106°. Find the length of j, to the nearest centimeter.
Answer:
112 cm.
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.
Cosine rule states that given a triangle with sides a, b, c and their corresponding angles opposite to the sides as A, B, C. Then:
[tex]a^2=b^2+c^2-2bc*cos(A)[/tex]
In triangle IJK:
We can find the length of j using cosine rule:
[tex]j^2=k^2+i^2-2ik*cos(J)\\\\substituting:\\\\j^2=59^2+80^2-2(80)(59)cos(106)\\\\j^2=3481+6400-(-2602)\\\\j^2=3481+6400+2602\\\\j^2=12483\\\\j=\sqrt{12483} \\\\j=112\ cm[/tex]
Pls help me I’m stuck
Step-by-step explanation:
8 gallons m miles
=
6 gallons 180 miles
or
8-m
6-180
PLEASE AM TIMED STEP BY STEP
Answer:
Here you go :)
Step-by-step explanation:
Paula bought 8 pairs of socks. She paid $104. Two pairs of socks cost the same amount. How much did each of the others pairs of socks cost?
Answer:
The other socks cost 9$.
Step-by-step explanation:
Leah wants to figure out how many notebooks are in her class. She knows 2 points
that twenty-six less than two times the number of notebooks equals 10.
Write an equation to represent the number of notebooks. *
A. 2x+26=10
B. -26=10x
C. 26-2x=10
D. 2x-26=10
PLEASE HELP I ONLY HAVE 30 MINUTES
Answer: D
The answer is D
what is the answer for this y=__x+__
(6x - 6.3) divided by 3
Step-by-step explanation:
We can represent the terms like this:
6x = 3 * 2x6.3 = 3 * 2.1Therefore, (6x - 6.3) / 3
= [(3)(2x) - (3)(2.1)] / 3
= 2x - 2.1.
Answer:
Terms of the equation is :---
6x/3 = 2x and 6.3/3 = 2.1
According to the given problem,
[tex] \frac{(6x - 6.3)}{3} = \frac{3(2x - 2.1)}{3} = \boxed{2x - 2.1} ✓\\ [/tex]
(2x+2.1) is the right answer. ★PLEASE HELP WILL GIVE BRAINLIEST! Solve |3x – 1| = |x+1| by graphing.
it wold be (0,1) and (2,3)
Answer:
Step-by-step explanation:
