Using an exponential function, it is found that:
a) The doubling time of the salary is of approximately 20 years.
b) The salary will be of $160,000.
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.The growth rate for this problem is:
r = 0.035.
The doubling time is t for which A(t) = 2A(0), hence:
[tex]A(t) = A(0)(1 + r)^t[/tex]
[tex]2A(0) = A(0)(1.035)^t[/tex]
[tex](1.035)^t = 2[/tex]
[tex]\log{(1.035)^t} = \log{2}[/tex]
[tex]t\log{1.035} = \log{2}[/tex]
[tex]t = \frac{\log{2}}{\log{1.035}}[/tex]
t = 20 years.
You retire in 40 years, which is 2 doubling periods, hence the salary will be of:
40000 x 2 x 2 = $160,000.
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Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. They randomly survey 391 drivers and find that 319 claim to always buckle up. Construct a 85% confidence interval for the population proportion that claim to always buckle up.
Answer:
The 85% confidence interval for the population proportion that claim to always buckle up is (0.7877, 0.8441).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
They randomly survey 391 drivers and find that 319 claim to always buckle up.
This means that [tex]n = 391, \pi = \frac{319}{391} = 0.8159[/tex]
85% confidence level
So [tex]\alpha = 0.15[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.15}{2} = 0.925[/tex], so [tex]Z = 1.44[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8159 - 1.44\sqrt{\frac{0.8159*0.1841}{391}} = 0.7877[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8159 + 1.44\sqrt{\frac{0.8159*0.1841}{391}} = 0.8441[/tex]
The 85% confidence interval for the population proportion that claim to always buckle up is (0.7877, 0.8441).
PLEASE ANSWER! I NEED HELP!! 30 POINTS TO WHO EVER ANSWERS!
The point of intersection of a system of equations is (3,4). Which of the following could represent one of the equations in the system of equations?
Select one:
A. 2x+3y=15
B. x+y=8
C. −2x+6y=18
D. −4x−y=−8
Brian received a gift card of $60 for a pizza restaurant. The restaurant charges $5 per pizza. Ashley received a gift card of $100 for a different pizza restaurant.
The restaurant charges $10 per pizza.
Let x be the number of pizzas purchased.helpppp!!
See photo^^^
A water faucet leaks 3/5 of a liter of water in 3/4 of an hour. Which TWO statements are correct for this situation
1. The faucet leaks 4/5 liter per hour.
2. The faucet leaks 5/4 liter per hour.
3. The faucet leaks 2/5 liter per 1/2 hour.
4. The faucet leaks 3/8 liter per 1/2 hour
5. The faucet leaks 3/10 liter per 1/2 hour.
Answer:
A & C
Step-by-step explanation:
Please just trust me
Answer:The faucet leaks 4/5 liter per hour.
The faucet leaks 2/5 liter per 1/2 hour.
Step-by-step explanation:
What is the mass of a truck if it
produces a force of 14000 N while
accelerating at a rate of 5 m/s/s?
Answer:
force (f)= 14000N
acceleration (a)=5m/s²
mass (m)=?
we have,
f=ma
14000=m×5
14000/5=m
2800=m
therefore Mass is 2800kg
I need some help please !
Answer:
With what?
Step-by-step explanation:
Can someone please help me I don’t understand
Answer:
The ship is traveling at 25 mph
Step-by-step explanation:
12.5/0.5=25
25/1=25
37.5/1.5=25
The speed is constant (25) so the ship is moving at 25 mph
Comans Corporation has two production departments, Milling and Customizing. The company uses a job-order costing system and computes a predetermined overhead rate in each production department. The Milling Department's predetermined overhead rate is based on machine-hours and the Customizing Department's predetermined overhead rate is based on direct labor-hours. At the beginning of the current year, the company had made the following estimates:
Milling Customizing
Machine-hours 18,000 13,000
Direct labor-hours 4,000 7,000
Total fixed manufacturing overhead cost $ 113,400 $ 64,400
Variable manufacturing overhead per machine-hour $ 1.60
Variable manufacturing overhead per direct labor-hour $ 3.90
During the current month the company started and finished Job A319. The following data were recorded for this job:
Job A319: Milling Customizing
Machine-hours 60 10
Direct labor-hours 20 60
Direct materials $ 655 $ 305
Direct labor cost $ 400 $ 1,200The amount of overhead applied in the Milling Department to Job A319 is closest to:
A. $552.00
B. $474.00
C. $142,200.00
D. $96.00​
Answer:
Comans Corporation has two production departments, Milling and Customizing. The company uses a job-order
If x=9 in what is the surface area of the geometric shape formed by this net?
Answer:
1134 in²Step-by-step explanation:
Surface area is:
x²*2 + 3x*x*4 = 14x²Substitute x:
14x² = 14*9² = 1134 in²The competitive advantage of small American factories such as Tolerance Contract Manufacturing lies in their ability to produce parts with highly narrow requirements, or tolerances, that are typical in the aerospace industry. Consider a product with specifications that call for a maximum variance in the lengths of the parts of 0.0008. Suppose the sample variance for 30 parts turns out to be s2 = 0.0009.
Required:
Use α = 0.05 to test whether the population variance specification is being violated. State the null and alternative hypotheses.
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]H_0: \sigma^{2} \leq 0.0008\\\\H_a: \sigma^{2} > 0.0008[/tex]
The testing states value is:
[tex]\to x^2=\frac{(n-1)s^2}{\sigma^2}=32.6250[/tex]
therefor the [tex]\rho - \ value = 0.2931[/tex]
Through out the above equation its values Doesn't rejects the H_0 value, and its sample value doesn't support the claim that although the configuration of its dependent variable has been infringed.
One number is 10 less than 5 times the second number. Their sum is 26. Find the numbers.
The two numbers are 6 and 20 respectively.
What are word problems?A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
Given is that one number is 10 less than 5 times the second number. Their sum is 26.
Let the numbers be [x] and [y] repsectively. Then, we can write that -
x + y = 26 ..... Eq[1]
x = 5y - 10 ..... Eq[2]
We can write -
x + y = 26
5y - 10 + y = 26
6y = 36
y = 6
Then, we can write [x] as -
x = 5 x 6 - 10 = 30 - 10 = 20
x = 20
Therefore, the two numbers are 6 and 20 respectively.
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4. (05.02)
Find the measure of angle x in the figure below:
(5 points)
χο
Υ
55
30'
95ο
55ο
Ο Ο Ο Ο
30ο
850
Answer:
95 degrees
Step-by-step explanation:
use a calculator
If the probability of an event is
and there are 28 total outcomes, how many favorable outcomes are there?
0 1
04
07
O 28
PLEASE ANSWER AND HURRRRRRY
Answer:
uhhh 28
Step-by-step explanation:
2, 3,6
Write the fact family formed by these numbers.
Answer:
♀️
Step-by-step explanation:
villian
Answer:
2, 3, and 6:
2 X 3 = 6,
3 X 2 = 6,
6 � 2 = 3
6 � 3 = 2.
Hope it helps
Please mark me as the brainliest
Thank you
Jennifer has been collecting beads all summer. She started with 65 beads and by the end of the summer, she added 25 more beads to her collection. On the first day of school, she wants to evenly split the beads up among her 6 friends. How many beads will each friend get?
A. 12
B. 15
C. 24
D. 17
Answer:
hi!
First we need to see how many beads she collected in total at the end of the summer: 65+25=90 beads at the end of the summer
she gives to each of her friends 90:6(friends)=15 beads for each (answer B)
hope i helped!
ig: landonorris
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which is the better price?
$5.36 for 20 oz.
or $9.27 for 48 oz.
Answer:
$9.27 for 48 oz.
Tez
Conclusions: Testing Trig Ratios
Does this ramp have an angle less than 4.8°?
Does it meet the ADA guidelines?
Triangle B
Yes
No
40
30
Answer:
ddjdjdjduduudduudppooo
Which of the following are reasons that a sampling technique may not be scientific.
a. People who were asked refused to answer.
b. The graphs are drawn in a way to mislead the reader.
c. The researcher was not able to survey every individual from the population.
d. The funders of the project are partial to the results.
e. Two factors cannot be separated to determine which is the one that is responsible for the outcome.
f. Trying to conclude that there is a cause-and-effect relationship when something else causes both.
Answer:
b. The graphs are drawn in a way to mislead the reader.
f. Trying to conclude that there is a cause-and-effect relationship when something else causes both.
Step-by-step explanation:
The sampling technique is used to make observation about entire population. The sampling may be misleading if the graphs are not properly drawn. This could mislead the reader and the sampling technique will not be scientific.
Sampling may be unscientific when the graphs are drawn in a way to mislead the reader.
Sampling is a simple way of carrying out scientific studies. In a sampling technique, a small fraction of the whole is selected for study in such a manner that represents the whole.
A sampling may not be scientific if;
The graphs are drawn in a way to mislead the reader.Trying to conclude that there is a cause-and-effect relationship when something else causes both.Learn more about sampling: https://brainly.com/question/857770
Let me know guys pls
Answer:5
Step-by-step explanation:
Answer:
Step-by-step explanation:
x/35=15/25
x=35(15)/25
x=21
Six friends share a 15 ounce bag of Skittles equally. Between what two whole numbers of ounces will each person get?
1. 3 and 4
2. 2 and 3
3.1 and 2
4. 0 and 1
Answer:
2. 2 and 3
Step-by-step explanation:
15 ÷ 6 = ?
15 ÷ 6 = 2.5
2, 2.5 , 3
A storm is moving toward your house at a speed of 20 km/hr. It is now 60 km away from your
house. In what time will the storm reach your house?
Answer:
3 hours
Step-by-step explanation:
(60km)/(20km/hr)=3
Will mark brainliest!
Meg plotted the graph below to show the relationship between the temperature of her city and the number of people at a swimming pool:
Part B: Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate slope and y-intercept.
BTW. PLESE DON'T ANSWER IF YOU DON'T KNOW.
Answer:
y = 0.44 x - 0.1
Step-by-step explanation:
Using the points (2.5, 1) and (27.5, 12) (first and last points of the plot - please see attached image), we obtain the following slope:
slope = (y2 - y1) / (x2 - x1)
slope = (12 - 1 ) / (27.5 - 2.5) = 0.44
Now we use this slope to complete the equation of the line through those points:
y = 0.44 x + b
1 = 0.44 (2.5) + b
1 = 1.1 = b
b = 1 - 1.1
b = - 0.1
Therefore, the equation of the line becomes:
y = 0.44 x - 0.1
Answer:
y = 0.44x + 0
Step-by-step explanation:
I am going to use the first and lowest and highest points on the graph to make an equation representing the approximate slope of this graph.
(2.5,1) and (27.5,12)
To find slope I am going to calculate change in y over change in x.
12 - 1 over 27.5 - 2.5 = 11/25 = 0.44
So far we have y = 0.44x + 0
To find "b" (the y-intercept) we are going to plug zero in for x, because the defintion of y-intercept is "the value of y when x = 0"
We get that the y intercept equals 0.
y = 0.44x + 0 or just y = 0.44x
I know I won't get brainliest, but hopefully, this helps, and you said that the other person couldn't get brainliest unless someone else answered, so here ya go!
the coast of 16 pens is rupees 256. Find the cost of 13 pens.
Fine the exponent ??
Answer:
the exponent is 7 why does it make me put 20 charects
Answer:
3
Step-by-step explanation:
27 = 3 to the power of 3
3 x 3 x 3 = 27
The legend on a map states that 1 inch
is 250 miles. If you measure 3 inches
on the map, how many miles would
the actual distance be?
HELP ASAP PLS SHOW WORK
Answer:
42
dnndndndndndnd
dndndndndj
Selena has 3 bagels. She wants the bagels for breakfast for 5 days. If she eats the same amount of bagel each day, how much bagel should she eat each day for breakfast.
Answer:
0.6
Step-by-step explanation:
y = 4x - 11
4x - y = 11
Systems of equations by substitution
Answer:
............................
Answer:
No Solution
Step-by-step explanation:
Substitute y = 4x - 11 in 4x - y = 11
4x - y = 11
4x - 4x - 11 = 11
-11 = 11
There is no solution because -11 does not equal 11.
what is the solution to 5(4x-1.5x)+12-2
Answer:
12.5x+10
Step-by-step explanation:
I'm assuming that you want to simplify this, because there is no equal sign.
If you want to simplify, first combine like terms.
First solve the first half of the equation: 20x-7.5x=12.5x
Now solve the second half of the equation: 12-2=10, so we have 12.5x+10.
That's your answer: 12.5x+10
Answer:
x = 0.8
Step-by-step explanation:
Your equation is 5(4x - 1.5x) + 12 - 2. Simply, you have to solve for x.
First, you have to do distributive property. 5 x 4 and -1.5 (1.5 is negative as I plus-minus.) This will now lead you to have the equation 20x + -7.5x + 12 - 2.
Next, you subtract 12 - 2. Then add 20x + -7.5x. Your equation should be 12.5x = 10.
Since you want x by itself, you will divide all by 12.5 in which 10 divided by 12.5 is 0.8. So your final answer is
x = 0.8
[tex]53 \times \frac{8}{6} [/tex]
i dont know how to do it can u show me
Answer:
What do you want your answer in? Exact or decimal form?
Exact form: 212/3
Decimal form 70.6
Step-by-step explanation:
Cancel the common factor of 8 and 6 for 53 * 4/3. Multiply 53(4/3), 212/3. This would be the answer for the exact form, decimal form is created by dividing 212 by 3, for 70.66666--.