Answer:
$338,263
Step-by-step explanation:
first year stays the same, then multiply the years salary x 1.02 for the following years
year 1 = $65000
year 2 = 66300
year 3 = 67626
year 4 = 68978.52
year 5 = 70358.09
total for 5 years = $338262.61
rounded to 338,263.
Determine whether the sequence converges or diverges. If it converges, give the limit.
9, 27, 81, 243,
The sequence diverges because the value of the absolute common ratio r is greater than the 1.
What is convergent of a series?A series is convergent if the series of its partial sums approaches a limit; that really is, when the values are added one after the other in the order defined by the numbers, the partial sums getting closer and closer to a certain number.
We have series:
9, 27, 81, 243....
The above series is a geometric progression with common ratio r is 3
[tex]\rm r =\dfrac{27}{9}[/tex]
r = 3
We know the formula for a geometric sequence:
[tex]\rm S_n = 9(3)^n[/tex]
[tex]\rm S_n = 3^{n+2}[/tex]
A geometric series converges only if the absolute value of the common ratio:
r < 1 and
It diverges if the ratio ≥ 1
Here the value of r = 3 which is greater than the 1 so the sequence diverges.
Thus, the sequence diverges because the value of the absolute common ratio r is greater than the 1.
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URGETN DUE IN 20 MINUTES PLEASE HELP. Tammy went to Outback for dinner, and took Sue with her. The total bill cost $68.72. Service
was good so they left a 22% tip. If they split the bill, what did each of them pay for dinner.
Answer:
Step-by-step explanation:
find the tip
68.72 * 0.22 (22%) = 15.1184
I was hoping that 68.72 + 15.1184 would equal a nice round number, like if it had been 80 total, then they both could have dropped 40 dollars. which would make sense, and is probably what would really happen. But this is math, :D and it really doesn't have to make sense, it just has to be accurate.
so 68.72+15.12 = 83.84
83.84 / 2 =41.92 they each paid 41.92 or for crying out loud, would they really dig around for 92 cents? just give the waiter one whole dollar. So for accuracy they would each pay $41.92, but really they would each pay 42.00 dollars.. and to even be more real. they would each pay $40.00
The amount of time (t) in minutes it takes to make a coffee at Starbucks is related to (n) the number of coffees purchased. The equation is t = 2n − 3. How long does it take if a customer buys 5 coffees?
A. 13 minutes
B. 7 minutes
C. 4 minutes
D. None of these choices are correct.
7 minutes
Step-by-step explanation:[tex]t=2n-3[/tex]
[tex]when\ n=5[/tex]
[tex]t=2\times 5-3=7\ minutes[/tex]
I hope this helps you
:)
How do you write 0.327 as a percentage
Please help me
An experiment involves rolling a die and flipping a coin. The following table shows the possible outcomes using the format of (die, coin).
Heads Tails
1 (1, H) (1, T)
2 (2, H) (2, T)
3 (3, H) (3, T)
4 (4, H) (4, T)
5 (5, H) (5, T)
6 (6, H) (6, T)
How many outcomes include an even number and a tail?
Enter your answer as a number, like this: 42
The outcomes of the die and coin experiment are its sample space
There are 3 outcomes that include an even number and a tail
How to determine the number of outcomes?
The sample space is given as:
Heads Tails
1 (1, H) (1, T)
2 (2, H) (2, T)
3 (3, H) (3, T)
4 (4, H) (4, T)
5 (5, H) (5, T)
6 (6, H) (6, T)
The outcomes that a even number and a tail are:
(2, T) (4, T) and (6, T)
The count of the above outcomes is 3
Hence, there are 3 outcomes that include an even number and a tail
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A 5.0 µC point charge is moved within an electric field and has an electric potential energy change of 10.0 J. What is the electric potential difference before and after the charge was moved? Show work. (µC = 1.0 × 10–6)
For a 5.0 µC point charge moved within an electric field, the electric potential difference is mathematically given as
du=2*10^6
What is the electric potential difference before and after the charge was moved?Generally, the equation for the change in potential energy is mathematically given as
dV=qdu
Therefore
10=5*10^{-6}*du
du=2*10^6
In conclusion, the electric potential difference
du=2*10^6
Read more about Electric
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Paola made a rectangular painting that has an area of 24 square feet. He now wants to make a similar
painting that has dimensions that are 2/3 the size of the original. What will the area of the new painting
be?
A. ) 36 square feet
B. ) 16 square feet
C. )12 square feet
D. ) 10 2/3 square feet
At which point is air pressure lowest? The image shows a representation of mountains of various heights, numbered 1, 2, and 3. The plain is labeled number 4. 0 1 2. 03 4 1 2 3
From the given image, the air pressure will be lowest at the highest altitude in the image.
What is air pressure?Air pressure or atmospheric pressure is the pressure within the atmosphere of Earth.
This air pressure increases with decrease in altitude but decreases with increase in altitude.
Therefore we can conclude the following, from the given image, the air pressure will be lowest at the highest altitude and maxiumum at the least altiutude.
Learn more about air pressure here: https://brainly.com/question/2353923
Answer: The answer is: 1
Step-by-step explanation: The higher you are the more the air pressure lowers. I have my ways ;>
Have a great day!
-Sunny
The bumper car ride at the state fair has 2 red cars, 2 green cars, and 4 blue cars. Devon is first in line for the
ride and is assigned a car at random. Akira is next in line and is randomly assigned a car. What is the probability
that both Devon and Akira will drive a red bumper car? Express your answer as a percent. If necessary, round
your answer to the nearest tenth.
Consider the system of equations.
4x−3y=−22x+3y=6
Which property could be used to write the equation 6x = 4 as the first step to solving the system of equations?
Division Property of Equality
Distributive Property of Equality
Substitution Property of Equality
Addition Property of Equality
Answer:
Addition Property of Equality
Step-by-step explanation:
I know because I just took the test and that if you added both problems together you would get 6x=4.
A coin is Flipped 3 times. What IS the probability that the coin lands heads up once and tails up twice if order does not matter?
Answer:
The probability that the coin lands heads up once and tails up twice is .375, or 3/8.
Step-by-step explanation:
Check the conditions for a binomial distribution problem:
Define success = heads and failure = tails.The number of trials is fixed; n = 3.Each coin flip is independent of the other.Probability p = .5 of getting either heads or tails.We need to use combinations to determine the probability of getting one success (one head) and two failures (two tails).
The combination would be 3 choose 1: [tex]p = {3 \choose 1} (.5)^1(.5)^2[/tex].
There is one success and two failures, denoted by the superscripts above the probability p = .5.
Use a calculator to evaluate and we get:
[tex](3)(.25)(.5) = .375[/tex]The probability that the coin lands heads up once and tails up twice is .375, or 3/8.
Need help with this question?
Answer:
six hundred and sixty-two by twenty-six
Step-by-step explanation:
six hundred and sixty-two by twenty-six
I need help Point reward is 70!!
Answer:
A or -32
Step-by-step explanation:
Answer:
-32 or A
Step-by-step explanation:
See attachment
Margo earns $13.50 per hour as a lifeguard. How many hours per week must she work if she wants to earn approximately $300 per week ?
Answer:
22.22 or 22 11/50
Step-by-step explanation:
Find the gradients of lines a and b ( first to do gets brainlist)
Answer:
A = 4
B = -2
Step-by-step explanation:
Answer:
Step-by-step explanation:
Line A: gradient = 8/2 = 4.
Line B: gradient = -12/6 = -2.
Find the volume of the triangular prism
Answer:
70
Step-by-step explanation:
5*4*7=140/2=70
Carson rode his bike for 3 3/4 miles on Wednesday. On Thursday, he biked 1 1/2 times as far as on Wednesday. How many miles did Carson bike on Thursday?
Answer: 7½ miles
Step-by-step explanation:
15/4× 3/2 = 45/6
Select the correct answer from each drop-down menu.
Consider the equation below.
-2(53 + 8) = 14 + 65
The equation was solved using the following steps.
-10.1
-
- 16 = 14 + 65
-161 - 16 = 14
Step 1:
Step 2:
Step 3:
Step 4:
-161 = 30
30
--16
Step 5:
1
II
Complete the statements below with the process used to achieve steps 1-4.
-2 to 5x and 8.
Step 1:
Step 2:
6x
Answer:
1: Distribute -2 to 5x and 8.
2:Subtract 6x.
3:Add 16.
4:Divide by -16.
Step-by-step explanation:
Answer:
1: Distribute -2 to 5x and 8.
2:Subtract 6x.
3:Add 16.
4:Divide by -16.
Step-by-step explanation:
Step-by-step explanation:
18 pink flowers to 12 white flowers per row.
Find the ratio of pink flowers per white flower per row.
Answer:
18:12
divide both sides by 3
6:4
divide both sides by 2
3:2
help pls fast
Each week, Bailey earns $12 per hour for the first 40 hours she works, and $18 for each hour of work after 40 hours. Her weekly earnings are a function of the amount of time she works.
Which function models the amount of money that Bailey earns?
the answers are graphs
The function model for the amount of the money that Bailey earns is,
Regular earning +overtime pay=total earnings.
We have given that the
12$ =1hours
first 40 hours in a week
and 18$ for each hour after a week.
We have to determine the function models the amount of money that bailey earns
What is the formula for regular earning?
regular hour × regular rate=regular eaning
40(12)=480$
overtime hours × overtime rate=overtime pay
Regular earning +overtime pay=total earnings
Here we don't know the overtime hours
Therefore we are unable to calculate total earnings.
The function model for the amount of the money that Bailey earns is,
Regular earning +overtime pay=total earnings.
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The surface areas of two similar solids are 16 m
2
and 49 m
2
.
Find the volume of the smaller solid if the volume of the larger one is 538.
Round your answer to the nearest hundredth.
Answer:
its 3 sorry if im wrong
Step-by-step explanation:
Joey owns 32 ties.
3 over 8 of the ties are red.
1 half of the red ties have stripes.
How many of the ties are red and have stripes?
what is the volume of a cone with a base radius of 5 m and a height of 12 m
Help me please I don't know the answer
A store uses binary numbers to assign a unique binary sequence to each item in its inventory. What is the minimum number of bits required for each binary sequence if the store has between 75 and 100 items in its inventory?.
Answer:
Introduction:
Binary numbers are used by different departmental stores to keep track of their inventory.
Explanation:
For this the minimum binary numbers should be 8 bits which can represent 256 unique values.
If a store needs to represent its inventory items between 25 to 75, it should use at least 8 bits which can formulate a eight bit number for every item.
Conclusion:
Therefore the correct answer is d. 8
Step-by-step explanation:
Multiply and simplify the product. (3 – 5i)(–2 4i) select the product.
Answer:
120i(squared)-72i
Step-by-step explanation:
(3−5x)(−24x)
=(3+−5x)(−24x)
=(3)(−24x)+(−5x)(−24x)
=−72x+120x2
=120x2−72x
Answer:
B
Step-by-step explanation:
14+22i
Nancy purchased from bed sheets for $36 they were on sale for 25% off what was the original price of the bed sheets
Answer:
ans $48
Step-by-step explanation:
36$ with 25%off
so
$36*75%=48
A microwave is placed on top of two boxes. One box is 2 feet 10 inches tall, the other box is 4 feet 7 inches tall, and the microwave is 3 feet 4 inches tall. How tall are they combined? Write your answer in feet and inches. Use a number less than 12 for inches.
Answer:
10 feet 9 inches.
Step-by-step explanation:
(24+10)+(48+7)+(36+4)
34+55+40
129 inches
10 feet 9 inches
where is my dad at right know as we speak
I don't even know :D
A total of 76 students respond to a survey about transportation to school. Of the girls surveyed, 22 walk to school and 29 get a ride. Of the 25 boys surveyed, 9 get a ride to school. What is the total number of students who walk to school?
Answer:
22+16 = 38
38 students walk to school
Step-by-step explanation:
Answer: 38 students walk to school
Step-by-step explanation:
Given Information
Total number of students = 76 students
Total number of girls = 22 + 29 = 51 students
Total number of boys = 25 students
Number of students walking to school:
Boys = ?Girls = 22Number of students getting a ride:
Boys = 9Girls = 29Find the number of boys that walk to school
Total number - getting a ride
= 25 - 9
= 16 students
Find the total number of students who walk to school
Number of boys + Number of girls
= 16 + 22
= [tex]\boxed{38\:students}[/tex]
Hope this helps!! :)
Please let me know if you have any questions