Answer:
In the 23rd year his income was of $33,900.
Step-by-step explanation:
Joe's income has been increasing each year by the same dollar amount.
This means that his salary after t years is given by:
[tex]S(t) = S(0) + at[/tex]
In which S(0) is the initial salary and a is the yearly increase.
The first year his income was $22,000
This means that [tex]S(0) = 22000[/tex]. So
[tex]S(t) = S(0) + at[/tex]
[tex]S(t) = 22000 + at[/tex]
In the fourth year his income was $24,100
S(4) = 24100, and thus, we use this to find a.
[tex]S(t) = 22000 + at[/tex]
[tex]24100 = 22000 + 4a[/tex]
[tex]4a = 2100[/tex]
[tex]a = \frac{2100}{4}[/tex]
[tex]a = 525[/tex]
So
[tex]S(t) = 22000 + 525t[/tex]
In which year was his income 33,900
This is t for which S(t) = 33900. So
[tex]S(t) = 22000 + 525t[/tex]
[tex]33900 = 22000 + 525t[/tex]
[tex]525t = 11900[/tex]
[tex]t = \frac{11900}{525}[/tex]
[tex]t = 22.67[/tex]
Rounding up, in the 23rd year his income was of $33,900.
Suppose that S and T are points on the number line.
If ST = 18 and S lies at -3, where could T be located?
If there are several locations, separate them with commas.
a deli employee can make a sandwhich in 6 minutes.she works for 84 minutes.how many sandwhiches can she make
Answer:
14
Step-by-step explanation:
84/6
Which expressions are equivalent to p+p+p+p+p+p+p? Choose ALL that apply.
7р
6p+2p
4p + 3p
Sp
3p + 5p
5p + 2p
Answer:
It would be 7p, 4p + 3p, and 5p + 2p
Step-by-step explanation:
Overall there is 7 p's
4 + 3 = 7 and 5 + 2 = 7
Unless there is more information, those are the answers.
Can y’all help me on question 13?!
Answer:
85 cm2
Step-by-step explanation:
Separate the figure into sections and add the product
ASAP PLEASE!M DUE TODAY!
Terrance rolled a bowling ball 5 feet and 2
inches before it hit a bowling pin. If 1 inch is
equal to 2.54 centimeters, how many centimeters
did the bowling ball roll before hitting the pin?
Answer:
157.48cm
Step-by-step explanation:
5feet 2inches
=(5×12) +2in.
=62in. [ 1ft = 12in.]
= 12in. = 2.54cm
=62in. = (2.54 × 62)
=157.48cm
What's the area of this yellow surface? pick one of the options.
I really don’t get this problem then it’s for a math class and I really don’t know what to do can somebody please help me
Answer:
Should be A
Step-by-step explanation:
The x cord increase by 5 for all points.
Y cord decrease by 3 for all points
A gardener has 840 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a
river and so it does not need any fencing.
river
garden
What dimensions would guarantee that the garden has the greatest possible area?
shorter side:
ft (feet)
longer side:
ft (feet)
ft2 (square feet)
greatest possible area:
Question Help: Message instructor
Submit Question
Answer:
Shorter side: 210
Longer side: 420
area: 88200
Step-by-step explanation:
work below
If you haven't learned derivatives yet just use the vertex formula
Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a king and then, without replacement, a face card? Express your answer as a fraction or a decimal number rounded to four decimal places
Answer:
0.0181 probability of choosing a king and then, without replacement, a face card.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Probability of choosing a king:
There are four kings on a standard deck of 52 cards, so:
[tex]P(A) = \frac{4}{52} = \frac{1}{13}[/tex]
Probability of choosing a face card, considering the previous card was a king.
12 face cards out of 51. So
[tex]P(B|A) = \frac{12}{51}[/tex]
What is the probability of choosing a king and then, without replacement, a face card?
[tex]P(A \cap B) = P(A)P(B|A) = \frac{1}{13} \times \frac{12}{51} = \frac{1*12}{13*51} = 0.0181[/tex]
0.0181 probability of choosing a king and then, without replacement, a face card.
You might need: Calculator
On the first day of spring, an entire field of flowering trees blossoms. The population of locusts consuming these
flowers rapidly increases as the trees blossom.
The relationship between the elapsed time t, in days, since the beginning of spring, and the number of locusts,
L(t), is modeled by the following function:
5.9
L(t) = 750.
(1)
Complete the following sentence about the rate of change in the locust population.
2
The population of locusts gains of its size every
3
days.
Answer:
5.9
Answer directly from Khan
You make a scale drawing of a banner for a school dance. You use a scale of 1 inch =3 feet. What is the actual width of the banner?
the width was 6 inches
Which of these fractions are equivalent to -3/2
don't mind the yt but how/?
r = 44
12 = r -(34-2)
12 = r -(32)
12 = r-32
r = 32+12
r = 44
A milk truck carries milk with density 64.6 lb/ft3 in a horizontal cylindrical tank with diameter 8 ft.
(a) Find the force exerted by the milk on one end of the tank when the tank is full. (Round your answer to the nearest integer.) lb
(b) What if the tank is half full?
Answer:
a) 12989 Ib
b) 2756.3 Ib
Step-by-step explanation:
Density of milk = 64.6 Ib/ft^3
Diameter of tank = 8 ft
radius = 4 ft
a) Calculate force exerted by milk on one end of tank when Tank is full
pressure on strip ≈ 64.6 ( 4 - yi ) i.e. surface of milk = 4
Total force = 129.2 * [tex]\int\limits^4_4 {4-y} \sqrt{16-y^2} \, dx[/tex]
∴Force exerted = 129.2 * Area of semicircle( radius =4 ) * radius
= 129.2* 8π * 4 ≈ 12989 Ib
b) Force exerted when Tank is half full
pressure on strip ≈ 64.6 ( 0 - yi ) i.e. surface of milk = 0
Total force = 129.2 * [tex]\int\limits^0_4 {0-y} \sqrt{16-y^2} \, dx[/tex]
∴ Force exerted ≈ 2756.3 Ib
Sam asks five of his friends in his accelerated ELA class.
He finds that the average number of books read for this sample was 6.
Give two reasons why this sample might not be representative of the population that Sam is
trying to study
Answer:
1) Sam only interviewed five people out of his entire ELA class, so he doesn't have a very wide demographic to study
2) All of these people were Sam's friends, so they might all have similar interests or only enjoy certain things, and that doesn't allow for a wide range of data collection
How do you solve for A in the following question?
Answer:
4x + 17 + x + 23 = 180 ( being straight line )
5x + 40 = 180
5x = 180 - 40
5x = 140
X = 140 / 5
X = 28 (answer)
Which data set has an apparent negative, but not perfect, linear relationship between its two variables
fill in a base 6 multiplication table. and use the table and the standard algorithm to solve.
Answer:
See in bold
1 x 1 = 1
1 x 2 = 2
1 x 3 = 2
1 x 4 = 4
1 x 5 = 5
2 x 1 = 2
2 x 2 = 4
2 x 3 = 6
2 x 4 = 8
2 x 5 = 10
3 x 1 = 3
3 x 2 = 6
3 x 3 = 9
3 x 4 = 12 Total 70
3 x 5 = 15
4 x 1 = 4
4 x 2 = 8
4 x 3 = 12
4 x 4 = 16 total 125
4 x 5 = 20
5 x 1 = 5
5 x 2 = 10
5 x 3 = 15 total 175
5 x 4 = 20
5 x 5 = 25 total 220
Total = 220
Algorithm Finding 142 = 220 - 78 = 142
-78 = 6 x 13 therefore 142six = 13
Algarithm Finding X 230six = X diagonal
X diagonal list on table shows;
1 x 1 = 1
2 x2 = 4
3 x 3 = 9
4 x 4 = 16
5 x 5 = 25
6 x 6 = 36
Total = 91
230/91 = 2.52747253 if diagonal algorithm
or 230 taken from the last 5 x 5 algorithm total = 220
1 x 6 = 6 220 + 6 = 226 x = 4+ then 1 x 6
2 x 6 = 12 = 18 220 + 18 = 38 x = 8 - then 2 x 6
as X230 = 8- 230 = 2 x 6
or X230 = 4+ 230 = 1 x 6
Solve for b.
- 32 + 106 = -22
Answer:
-30+10b=-22
32-22=10b
10b=10
-32+10=-22
hope it helps
Write an inequality representing the following phrase:
Three more than five times a number t is less than thirty.
Answer:
5t + 3 < 30
Step-by-step explanation:
Five times a number t is 5t.
Three more just means add 3 more to your first term (in this case it's 5t).
Less than thirty means not less than or equal to 30 but just less then 30.
Can someone graph this quick plsssss
Answer:
x = 0.529 and y = 3.882
Step-by-step explanation:
The given equations are :
[tex]y=\dfrac{5}{3}x+3\ ......(1)\\\\y=\dfrc{1}{3}x-3\ .......(2)[/tex]
We need to solve the equations by graphing.
The attached figure shows the solution of the given equations. We can see that, the intersecting points are :
x = 0.529 and y = 3.882
Hence, this is the required solution.
which of the following is true because of the commutative law of multiplication
15*3=45
15*3=40+5
15*3=3*15
15*3=3*3*5
Explanation:
The commutative law of multiplication says that A*B = B*A, for any real numbers A,B. The order of multiplication doesn't matter.
That's why 15*3 is the same as 3*15.
This is because having 15 groups of 3 leads to 3+3+3+...+3 = 45 (imagine adding 15 copies of '3' together), and having 3 groups of 15 gets us 15+15+15 = 45 as well.
Or you could picture a rectangular table that has 15 rows and 3 columns. It has 45 inner cells. If the table had 3 rows and 15 columns, then we'd still have 45 inner cells.
Work out the lengths of sides a and b.
Give your answers to 1 decimal place.
17 cm
a
a
b
8 cm
12 cm
5 cm
Answer:
No solution is possible since you failed to provide the necessary information
Step-by-step explanation:
PLZ DONT LEAVE IN BLANK I WILL DO ANYTHING!!!! PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ 20 Xp
The data below shows the scores of some students on a test:
29, 31, 27, 20, 25, 34, 24
Which box-and-whisker plot represents the data?
Answer: The answer is C.
Step-by-step explanation:
It is definitely not B because the average of the numbers compared to what that shows don't make sense.
The biggest number that you gave us is 34 but on option A, it looks like its 30 or 31. So that's not correct.
Finally, it can't be D because the biggest number shown there is 35 when it actually is 34.
I hope I was able to help!
Good luck and have a great day :)
Study the given values of the data and then choose the best suitable answers for all the questions.
10,10, 18, 24,28
Answer:
Mean = 18 and Mode = 10
Step-by-step explanation:
The given data is :
10,10, 18, 24,28
We can find the mean of the data,
[tex]Mean=\dfrac{\text{sum of observations}}{\text{total no of observations}}[/tex]
[tex]M=\dfrac{10+10+18+24+28}{5}\\\\=18[/tex]
Mode is the repetition of data.
Here, 10 repeats 2 times.
So, the mode is 10.
Shana has three pets, a dog, a cat and a bird. One of them is named Sammy. Noodles is younger than both the bird and the dog. Fluffy is green. Which pet has the name Sammy?
Answer:
The dog has the name Sammy.
Step-by-step explanation:
A cat and dog cannot be green, therefore the bird is Fluffly.
Noodles must be the cat since it's younger than the bird and the dog.
The only one that doesn't have an explanation is the dog, therefore the dog must be named Sammy.
Question 1 of 25
Calculate the sum or difference. Enter the answer as a fraction in lowest
terms, using the slash (/) as the fraction bar.
2.5
tom
Answer here
Answer:
5/2 improper, 2 1/2 proper
Given the circle, find the arc measure.
Please help I’ll mark brainliest
Answer:
arc KLJ = 205°
Step-by-step explanation:
Recall: measure of arc equals measure of central angle
Therefore:
measure of arc LJ = 56°
measure of arc KL = 149°
arc LJ + arc KL = arc KLJ
Substitute
56° + 149° = arc KLJ
205 = arc KLJ
arc KLJ = 205°
Two photographers offer different pricing plans for their services. The graph below models the prices Photographer A charges. The table below shows the prices Photographer B charges. Each photographer charges a one-time equipment fee and an hourly rate. a. Which photographer charges the greater hourly rate? By how much? b. Which photographer charges the greater one-time fee? By how much?
Answer:
a. Photographer A by $10
b. Photographer B by $25
In the context of communication, which of the following statements is true of people from high-context cultures? a) They prefer the use of the direct, get-down-to-business conversation style.
b) They focus on the use of precisely written legal contracts.
c) They give importance to the position, age, and seniority of parties in a conversation.
d) They focus on the actual spoken and written word.