Answer:
a)
initial value problem representing the salary is; S(t) = 1.[tex]e^{0.10t}[/tex]
b)
S(0) = 1
Therefore; S(0) is 1 million dollar
S(1) = 1.105170918075647
Therefore; S(1) is 1.105170918075647 million dollar
Step-by-step explanation:
Given that;
Initial salary of football coach = 1 million dollar
raise of 10% every year (so exponential growth model) r = 10% = 0.10
a) initial value problem to represent the salary
lets S represent salary in millions dollars and t represent time in years.
S(t) = S₀[tex]e^{rt}[/tex]
so,
at S₀ = 1 million dollars } { r = 0.10 }
S(t) = 1.[tex]e^{0.10t}[/tex]
Therefore, initial value problem representing the salary is; S(t) = 1.[tex]e^{0.10t}[/tex]
b) What is s(0) and s(1)
at s(0)
S(t) = 1.[tex]e^{0.10t}[/tex]
we substitute
S(0) = 1.[tex]e^{0.10*0}[/tex]
S(0) = 1.[tex]e^{0}[/tex]
S(0) = 1
Therefore; S(0) is 1 million dollar
at s(1)
S(t) = 1.[tex]e^{0.10t}[/tex]
we substitute
S(1) = 1.[tex]e^{0.10*1}[/tex]
S(1) = 1.[tex]e^{0.10}[/tex]
S(1) = [tex]e^{0.10}[/tex]
S(1) = 1.105170918075647
Therefore; S(1) is 1.105170918075647 million dollar
A counselor at the local chapter of Impulse Buyers Anonymous had just conducted a weekend workshop on how to be less suggestible. To find out if the workshop had any effect, she had each participant fill out a questionnaire that measured suggestibility, with high scores indicating high suggestibility. (Several such questionnaires exist.) Suppose that the national norm (mean) for the questionnaire that was used was 25 and that the participants produced the following statistics. Construct a 95 percent confidence interval and sentence of interpretation that tells about the effect of the workshop.ΣΧ = 242 ΣΧ2 = 5,413 N = 11
Answer:
(20.322 ; 23.678)
Step-by-step explanation:
Given that :
ΣΧ = 242 ; ΣΧ2 = 5,413 ; N = 11
Mean, m = ΣΧ / N = 242 / 11 = 22
Standard deviation = sqrt[(ΣΧ2/N) - (ΣΧ/N)²]
Standard deviation = sqrt[(5413/11) - (242/11)^2]
Standard deviation = sqrt(8.0909090) = 2.84
Confidence interval = m ± Zcritical * s/sqrt(n)
Zcritical at 95% = 1.96
Lower boundary = 22 - 1.96*2.84/sqrt(11)
Lower boundary = 22 - (1.96 * 0.8562922) = 20.322
Upper boundary = 22 + (1.96 * 0.8562922) = 23.678
A rectangle has an area of 48 cm² and a perimeter of 38 cm. What are the dimensions of the rectangle?
A. 1 cm X 48 cm
B. 2 cm x 24 cm
C. 3 cm x 16 cm
D. 4 cm x 12 cm
E. 6 cm x 8 cm
Answer:
c
Step-by-step explanation:
3x16=48
3+16+3+16=48
pls brainliest
Which are corresponding angles
Answer:
oposite to its angle when they are parallel
A variable needs to be eliminated to solve the system of equations below. Choose the correct first step.
Which letter is it??
reeeeeeeeeeeeeeeeeeeeeeee
!!! ASAP! PLEASE ANSWER WILL GIVE A LOt OF POINTS AND MARK BRAINLIEST !!!!!
Answer:
80 minutes
35.2 km
Step-by-step explanation:
You can't give more than the 6 points you have allocated. If I am the only person answering, you have to come back to award the Brainliest -- it varies how much time. Usually 2 or 3 days. Few people do.
The answer to this question depends on you understanding that both girls will be side by side when the second one catches the first. So the distances will be equal
That means that
.44t = 35t + 7.2 Subtract 0.35t from both sides
0.44t - .35t = 7.2
0.09 t = 7.2 Divide
t = 7.2/0.09
t = 80 minutes
How far apart are they from the starting point?
d = 0.44t
d = 0.44 * 80
d = 35.2 km from the starting point.
Find the measure of the missing angle.
Answer:
80
Step-by-step explanation:
because T to R is 80 too
Xavier's new car uses 25 gallons for 528 miles, approximately how many miles does it travel per gallon ?
1. In Mrs. Taylor's English class, 12 of the 21 students received a B on their
essay. What percent of students earned a B?
Answer:
57.1% (to 3 s.f.)
Step-by-step explanation:
12/21 *100
What is the correct answer?
Kuta software - Infinite Algebra 1
Solving System of Inequalities
Sketch the solution to each system of inequalities.
Answer:
y
≤
−
x
−
2
(1)
y
≥
−
5
x
+
2
(2)
First graph the 2 linear functions by intercepts:
a. y1 = - x - 2
Make x = 0 --> y-intercept is -2
Make y = 0 --> x-intercept is - 2
b. y2 = -5x + 2
Make x = 0 --> y-intercept is 2
Make y = 0 --> x-intercept is
2
5
Graphically solve the 2 linear inequalities (1) and (2).
The solution set of (1) is the area below the line y1. Color it.
The solution set of (2) is the area above the line y2. Color it.
The combined solution set of the system is the area commonly shared by the 2 above solution set areas.
graph{-x - 2 [-10, 10, -5, 5]}
graph{-5x + 2 [-10, 10, -5, 5]}
Mr. Kelly and mr. Sully each make some new units for geometry. Total they need to make 12 units.
Answer:
What exactly do you need to be answered?
Step-by-step explanation:
It is estimated that 3% of the athletes competing in a large tournament are users of an illegal drug to enhance performance. Athletes are tested to see if they are using illegal drugs or not using illegal drugs and the test can come back positive or negative. The test for this drug is 90% accurate for non-drug users (this means there is a 90% chance the test comes back negative if the person is a non-user). What is the probability that an athlete tests negative and is not a user of an illegal drug
Answer:
0.873 = 87.3% probability that an athlete tests negative and is not a user of an illegal drug
Step-by-step explanation:
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.
In this question:
Event A: Not a user of an illegal drug.
Event B: Tests negative.
The test for this drug is 90% accurate for non-drug users (this means there is a 90% chance the test comes back negative if the person is a non-user)
This means that [tex]P(B|A) = 0.9[/tex]
It is estimated that 3% of the athletes competing in a large tournament are users of an illegal drug to enhance performance.
So 100 - 3 = 97% probability that the athlete does not use the drug, so [tex]P(A) = 0.97[/tex]
What is the probability that an athlete tests negative and is not a user of an illegal drug
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]P(A \cap B) = 0.9*0.97 = 0.873[/tex]
0.873 = 87.3% probability that an athlete tests negative and is not a user of an illegal drug
What is the answer to this how to work it
9514 1404 393
Answer:
(A) -7
Step-by-step explanation:
The function is continuous if you can draw its graph without lifting your pencil. In this case, that means each of the piecewise function definitions must have the same value at x=3.
x^2 +2 = 6x +k . . . . . must be true at x=3
3^2 +2 = 6(3) +k . . . . substitute 3 for x
9 +2 -18 = k . . . . . . . . subtract 18
k = -7 . . . . . . . simplify
The ground temperature at airport is 12 degrees. The temperature decreases by 5.2 degrees for every mile above ground. What would be temperature outside plane located at 3 miles above the airport
Answer:
The outside plane located at 3 miles above the airport is of -3.6 degrees.
Step-by-step explanation:
The ground temperature at airport is 12 degrees. The temperature decreases by 5.2 degrees for every mile above ground.
This means that the temperature in n miles above ground is given by:
[tex]T(n) = 12 - 5.2n[/tex]
What would be temperature outside plane located at 3 miles above the airport
This is T(3). So
[tex]T(3) = 12 - 5.2*3 = 12 - 15.6 = -3.6[/tex]
The outside plane located at 3 miles above the airport is of -3.6 degrees.
A hockey team scored the following number of goals in their last 5 games:
2, 3, 5, 3, 2
Which is the mean absolute deviation of the number of goals?
Answer:
3.3
Step-by-step explanation:
1. A shirt, x, is discounted 20%; what is the sale price?
A. y = 2.2x
B. y = 0.8x
C. y = 1.2x
D. y = 1.02x
E. y = 0.02x
2. A family left a 20% tip after their meal. What is the final cost of their meal if the food cost x dollars?
A. y = 2.2x
B. y = 0.8x
C. y = 1.2x
D. y = 1.02x
E. y = 0.02x
3. A store adds a 120% markup to the cost of an item before selling it to the customers
A. y = 2.2x
B. y = 0.8x
C. y = 1.2x
D. y = 1.02x
E. y = 0.02x
Answer:
.8x
Step-by-step explanation:
According to exponent rules, when we multiply powers we______
the exponents.
Pick one-
divide
add
multiply
subtract
Answer:
Add
Step-by-step explanation:
What is the height of a triangle, if the area is 20 square inches and the base is 5 inches? Be sure that you can explain how you found your answer.
so normally we would be finding the area of a triangle which is a=h*b/2
but in this case we are finding the height so theirs 3 ways to do this but i prefer the basic way
20=1/2(5)h
20=2.5
8=h
and to find out if that was correct lets do 8*5=40 40/ 2 =20 so this is correct
the height is 8
Answer:8
Step-by-step explanation:
start at 4. Create a pattern that adds 3 and subtracts 1 from the number to create the next number, Stop when you 5 numbers.
Answer:
6 8 10 12 14
Step-by-step explanation:
what does the denominator of 3/2 mean?
Hello!
The denominator is like the number under the line. So in this case, 2 would be the denominator.
~Sophia
K+22=17 would be K=15 right plz correct me if I'm wrong
Answer:
k = -5
Step-by-step explanation:
Question 3
1 pts
If a porcelain doll can be made in 2 1/2 hours, how many dolls can be made in 100 hours?
40
50
250
35
Answer:
40
Step-by-step explanation:
100/2.5=40
URGENT! Please answer!
Answer: 22/3
Step-by-step explanation:
So, the first step is to add 9/2 to both sides. We cant do that unless there is a common denominator between -8/3 and 9/2. I will leave the 1/4 alone because we will have to divide that later. When you divide a fraction, you multiply by the reciprocal, which doesnt require a change in denominator. That is my reason for not changing the 1/4.
The common denominator of the two would be 6.
[tex]-\frac{16}{6} =\frac{1}{4}x-\frac{27}{6}[/tex]
Add the 27/6 to both sides
[tex]\frac{11}{6}=\frac{1}{4}x[/tex]
Divide the 1/4 to both sides
[tex]x=\frac{11}{6}*\frac{4}{1} =\frac{44}{6}= \frac{22}{3}[/tex]
4 2/3 = 5 − 1/3
true or false
Answer:
true
Step-by-step explanation:
take away 1/3 from 5 and you get four and a third
Simon's monthly take-home pay after taxes) is $2100. If he pays 22% of his gross pay (before taxes) in tax, what is his gross pay?
Simon's gross pay is $
(Round to the nearest dollar as needed.)
Answer:
[tex]approximately \: 2692 \: dollars[/tex]
Step-by-step explanation:
[tex]2100 = x \times 0.78[/tex]
We take both sides divided by 0.78
[tex]2100 \div 0.78 = x \\ 2692 = x \\ x = 2692 \: dollars[/tex]
Solve the equation 6x = 72 for x.
x=
Answer:
12
Step-by-step explanation:
you have 72 and 6
72 divided by 6 equals 12.
12 x 6 = 72
12 = x
Which of the following is a quadratic equation whose roots are 3 and -1?
Answer:
JK up FMyRick they rock TBD Trinity scrump TV TM in
Help needed today plsss
Answer:for #2 it's answer 1. #3 is " five less than twice a number is 2x-5. Then 5 times the sum of two numbers if 5x+y. The the difference of 5 and a number squared is (5-x)*2
Step-by-step explanation:
Hope this helps
if the director tells you to walk upstage, you will be moving towards or away from?
I think it's away
Step-by-step explanation:
here's how I see it it's the director is telling you to move upstage the director isn't on the stage therefore you would have to move away from him
Answer:
To the back of the stage, away from the audience.
Step-by-step explanation:
Old stages used to tilt down to the audience so upstage meant to walk to the higher back part of the stage.
The volume inside a rectangular storage room is 2061 feet The room is 9 feet high find the area of the floor
Answer:
229 ft²
Step-by-step explanation:
Note that the volume is 2061 ft³, not 2061 ft.
area of floor = volume÷height = (2061 ft³)/(9 ft) = 229 ft²
