Consider the missing part of the question is "Select the correct statement.
A. The number of employees is increasing by 50% every year.
B. The number of employees is decreasing by 10% every year.
C. The number of employees is decreasing by 90% every year.
D. The number of employees is increasing by 90% every year."
Given:
The function is:
[tex]f(t)=1.5(0.90)^t[/tex]
Where, f(t) is the number of employees working at a company, in thousands and t is the number of years since the company revised the benefits package.
To find:
The correct statement from the given options.
Solution:
The general exponential decay model is:
[tex]f(t)=a(1-r)^t[/tex] ...(i)
Where, a is the initial value, r is the rate of decay and t is the number of years.
We have,
[tex]f(t)=1.5(0.90)^t[/tex]
It can be written as
[tex]f(t)=1.5(1-0.10)^t[/tex] ...(ii)
From (i) and (ii), we get
[tex]a=1.5,r=0.10[/tex]
The initial value is 1.5 and the rate of decay is 0.10 or 10%. It means the number of employees is decreasing by 10% every year.
Therefore, the correct option is B.
please help me asap
Answer:
add the two bases together: 19.5 + 14.5 = 34 x 8 (height) = 272 divided by 2 (times half) = 136cm is your answer.
Formula of a trapezoid:
Base 1 + Base 2 times height times height (basically dividing by 2)
Which of the following points are part of the solution set to the inequality
y ≤ −1\3 x +7
A.
(-9, 1)
B.
(3, 13)
C.
(12, -4)
D.
(3, 7)
Answer:
45
St45-by-step explanation:
PRETTY MUCH A FREE BRAINLIEST IF UR RIGHT, GOOD LUCK :D. Value of x is greater than or equal to 14
Options:
x>14
x<14
x≥14
x≤14
Answer:
3rd choice down. . . . . . .
x≥14 plz give me brainlyest
In the song, 7 pounds, 5 ounces was the median weight of the students at birth. Which of these is correct?
Answer: Half the students weighed less than 7 pounds, 5 ounces, and half the students weighed more.
Step-by-step explanation:
Parallelogram WXYZ.
WX = 13x + 15
YZ = 19x - 9
Find the values of x and y.
Answer:
Step-by-step
sum of the adjacent angles of parallelogram is supplementary.
Therefore,
Q + R = 180°
4y+7 + 10y-37 = 180°
14y - 30° = 180°
14y = 210°
y = 210°/14
y = 15°
Could not found X in the question.
Answer: 3.27
Step-by-step explanation:
Alex has 30,000 in his savings account that earns 10%
annually.
How much interest will he earn in one year?
Answer:
i dont know im so sorry
Step-by-step explanation:
i hope u find ur answer
hello! I am currently failing math class and if I don’t get it together I might have to repeat the grade! so I really need you help and if you have the answer let me know in the comments please !! <3 :)
question⬇️⬇️
Hannah ran 10 miles. how many feet is this ?
10 miles in feet is 52800ft.
1 mile in feet is 5280 and when multiplying by 10, you usually just add a zero at the end of the number which makes 5280 turn into 52800!
If this is incorrect please don't refrain to tell me and I'll correct my answer. Thank you.
ramu and ravi borrowed rs 8000
Answer: Rs. 11,520
Step-by-step explanation:
As the method of compounding is not stated, the default of simple interest will be used.
Simple interest is a fixed amount that is paid over the course of the loan and is based on the original amount borrowed.
Formula is:
Amount owed = Amount borrowed * ( 1 + rate * time)
= 8,000 * ( 1 + 8% * 5.5 years)
= 8,000 * 1.44
= rs 11,520
Someone please help me find the area I’ll give brainliest
Answer:
The area of the rectangle? If so it's 240.
james jogged around the track 0.68 hours at an average speed 28.9 miles per hour how far did he jog?
Answer:
Step-by-step explanation:
0.68hr(28.9mi/hr)=19.652mi
Find the value of −12 + 8 −(−9). Question 20 options: −13 −5 13 5
Answer:
D) 5
Step-by-step explanation:
-12 + 8 + 9 = 5
Which is the approximate solution to the system y= 0.5x + 3.5 and y= -2/3x + 1/3 shown on the graph?
Answer: 1. 4, 2. 1x.
Step-by-step explanation:
A large school district is considering implementing a program that, if successful, would improve the reading scores of its students by 10 points. The current reading scores for the district are normally distributed with a mean of 25 and a standard deviation of 8. The administrators decide to test the new program in one school of 200 students. What is the standard deviation of the comparison distribution
Answer:
The standard deviation of the comparison distribution is 0.5657.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
In this question:
Standard deviation of the population is 8, sample of 200. So
[tex]s = \frac{8}{\sqrt{200}} = 0.5657[/tex]
The standard deviation of the comparison distribution is 0.5657.
AY
1500-
1400
1300
Optional: How much compound
interest is earned at 35 years?
(looks to be in the middle)
compound interest
Total amount (dollars)
1200
1100
1000
900
800
700
600
500
400
300
200
100
Optional: How much simple
interest is earned at 35 years?
(looks close to the whole number)
simple interest
(a) How much more compound
interest than simple interest is
earned after 35 years?
0
5 10 15 20 25 30 35 40 45 50
Number of years
Answer:
How much compound interest is earned at 35 years? 850
How much simple interest is earned at 35 years? 600
How much more compound interest than simple interest is earned after 35 years? 250
Step-by-step explanation:
Find the AREA of the triangle below.
Answer:
212.5
Step-by-step explanation:
a=b*h/2
b=25
h=17
25*17 =425
425/2=212.5
a=212.5
I need the answer for this one please
Answer:
Step-by-step explanation:
65
A lottery game requires that 3 different numbers are picked from 1 to 9 if someone picks all 3 winning numbers the person wins 9 million complete parts a and b
50 POINTS FOR THIS IF ANYONE CAN GIVE ME A DECENT ANSWER AND BRAINIEST ANSWER
help me sketch the graph of x/4 + y/-3 = 1?
give me a reason why you put a mark there on graph thanks.
PLEASE
Go from 1x down 3 and right 4
Then draw a line connecting it
How many 2/3 are in 5?
Answer:
7.5
Step-by-step explanation:
5/(2/3) = 7.5
What is the value of x in the figure below?
Answer:
x = 25°
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180°
The given triangle is a right triangle which means one of its angle has a measure of 90°
since thd other angle is given as 65 to calculate x we just add the given measures and subtract it from 180
90° + 65 + x = 180
155 + x = 180 subtract 155 from both sides
x = 25°
3.16 SAT scores: SAT scores (out of 2400) are distributed normally with a mean of 1490 and a standard deviation of 295. Suppose a school council awards a certificate of excellence to all students who score at least 1900 on the SAT, and suppose we pick one of the recognized students at random. What is the probability this student's score will be at least 2100
Answer:
0.2333 = 23.33% probability this student's score will be at least 2100.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution, and conditional probability.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
SAT scores (out of 2400) are distributed normally with a mean of 1490 and a standard deviation of 295.
This means that [tex]\mu = 1490, \sigma = 295[/tex]
In this question:
Event A: Student was recognized.
Event B: Student scored at least 2100.
Probability of a student being recognized:
Probability of scoring at least 1900, which is 1 subtracted by the pvalue of Z when X = 1900. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1900 - 1490}{295}[/tex]
[tex]Z = 1.39[/tex]
[tex]Z = 1.39[/tex] has a pvalue of 0.9177
1 - 0.9177 = 0.0823
This means that [tex]P(A) = 0.0823[/tex]
Probability of a student being recognized and scoring at least 2100:
Intersection between at least 1900 and at least 2100 is at least 2100, so this is 1 subtracted by the pvalue of Z when X = 2100.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2100 - 1490}{295}[/tex]
[tex]Z = 2.07[/tex]
[tex]Z = 2.07[/tex] has a pvalue of 0.9808
This means that [tex]P(A \cap B) = 1 - 0.9808 = 0.0192[/tex]
What is the probability this student's score will be at least 2100?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0192}{0.0823} = 0.2333[/tex]
0.2333 = 23.33% probability this student's score will be at least 2100.
Somebody HURRY I NEED HELP
Answer:
1/5^3
Step-by-step explanation:
5 ^ -3 = 1 / 5^3 = 1 / 125
Help for brainiest
please explain how you got it :D it would help so I can understand how to do the rest
Answer:
Option D
Step-by-step explanation:
Formula to use: V=[tex]\frac{1}{2}(b*a)*h\\[/tex]
b=base of triangle a=altitude of triangle h=height of prism
Doing [tex]\frac{1}{2}(b*a)[/tex] is essentially finding the area of the triangle and after multiplying by h will give you the volume of the triangular prism.
Solve: V = [tex]\frac{1}{2}(3*3)*7[/tex] or option D
Ps. Altitude is perpendicular or 90 degrees to the side I used for the base, so it wouldn't be option C.
Terry’s garden is in the shape of a quarter-circle with radius 24 meters. What is the area of her garden?
Answer: 1809.56 let me know if it is right?
Step-by-step explanation:
please help me, I’m very confused
Find the measure of the arc.
D
А
146°E
B
mĒDF = [?]°
Enter
Answer: 214
hope this helped.
The measure of the arc is 214 degrees
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
The measure of the arc FE is 146 degrees.
Measure ED is 90 degrees.
To find the measure of the arc EDF we have to find the measure of DF.
146+90+x=360
236+x=360
Subtract 236 from both sides
x=360-236
x=124
Now let us find the arc measure EDF =Measure of ED + Measure of DF
=90+124
=214 degrees
Hence, the measure of the arc is 214 degrees
To learn more on Circles click:
https://brainly.com/question/11833983
#SPJ7
A virus has infected 400 people in the town and is spreading to 2.5% more people each day.
Write an exponential function to model this situation, then find the number of people that will be
infected in 10 days.
Answer:
3725 infected people in 10 days
Step-by-step explanation:
that is the answer
1/8+ c = 4/5
27/20 = c
Answer: the answer will be for c is 27 over 40
Step-by-step explanation:
find the surface area of a cylinder with the height of 10 inches and a base diameter of 6 in
Answer:
339.24
Step-by-step explanation:
To find the surface area, you will need to the the area of the base of the cylinder. To do that, use the formula A=pi (r)^2
The radius is half the diameter do r=3
3.14(3)^2 should give you about 28.27.
This is the area of the top and bottom of the cylinder.
Now, do 28.27x10=282.7 to find the height surface area.
282.7+28.27+28.27=Surface area.
SA= about 339.24
Simplify the following expression.
Answer:
x^(4/21)
Step-by-step explanation: