Answers
Answer:
$65,219 in the fourth year
Step-by-step explanation:
Each year you multiply by 1.1 as stated in the word problem because of the 10 percent increase in salary.
We start off with 49,000 in the first year.
The second year is 53,900 dollars, since we multiply 49,000 * 1.1.
The third year is the previous year(2nd) times 1.1, so it's 53,900 * 1.1 which is 59,290 dollars.
Finally, in the fourth year, we can expect 65,219 dollars
Related Questions
Let R be the region in the first quadrant bounded by the graphs of y =x^2 and y=2x, as shown in the figure above. The region R is the base of a solid. For the solid, each cross section
perpendicular to the y-axis is a square. What is the volume of the solid?
A) 0.404
B)0.533
С)1.333
D)2.667
Answers
Answer:
The area between the two functions is approximately 1.333 units.
Step-by-step explanation:
If I understand your question correctly, you're looking for the area surrounded by the the line y = 2x and the parabola y = x², (as shown in the attached image).
To do this, we just need to take the integral of y = x², and subtract that from the area under y = 2x, within that range.
First we need to find where they intersect:
2x = x²
2 = x
So they intersect at (2, 4) and (0, 0)
Now we simply need to take the integrals of each, subtracting the parabola from the line (as the parabola will have lower values in that range):
[tex]a = \int\limits^2_0 {2x} \, dx - \int\limits^2_0 {x^2} \, dx\\\\a = x^2\left \{ {{x=2} \atop {x=0}} \right - \frac{x^3}{3}\left \{ {{x=2} \atop {x=0}} \right\\\\a = (2^2 - 0^2) - (\frac{2^3}{3} - \frac{0^3}{3})\\\\a = 2^2 - \frac{2^3}{3}\\a = 4 - 8/3\\a \approx 1.333[/tex]
So the correct answer is C, the area between the two functions is 4/3 units.
The area between the two functions is approximately 1.333 units.
What will be the area?Area is defined as the region bounded by the sides on a plane. The areas of different shapes can be calculated by different formulas.
If I understand your question correctly, you're looking for the area surrounded by the line y = 2x and the parabola y = x², (as shown in the attached image).
To do this, we just need to take the integral of y = x², and subtract that from the area under y = 2x, within that range.
First we need to find where they intersect:
2x = x²
2 = x
So they intersect at (2, 4) and (0, 0)
Now we simply need to take the integrals of each, subtracting the parabola from the line (as the parabola will have lower values in that range):
[tex]a=\int\limits^2_0 {2x} \, dx -\int\limits^2_0 {x^2} \, dx[/tex]
[tex]a=(2^2-0^2)-(\dfrac{2^3}{3}-\dfrac{0^3}{3})[/tex]
[tex]a=4-\dfrac{8}{3}[/tex]
[tex]a=1.333[/tex]
Hence the area between the two functions is approximately 1.333 units.
To know more about area follow
https://brainly.com/question/25292087
Explain why 8 x ¾ is the same as adding ¾ + ¾ + ¾ + ¾ + ¾
Answers
8 x ¾ is the same as adding ¾ + ¾ + ¾ + ¾ + ¾
because, when you are adding 3/4
8 times, you are 3/4 plus itself,
eight times,
so you are doing 3/4*8
8×¾ = ¾+¾+¾+¾+¾+¾+¾+¾
8×¾ = (1+1+1+1+1+1+1+1)×¾
= ¾+¾+¾+¾+¾+¾+¾+¾ distributive rule
Solve the rational equation [tex]3x+2/5=2x-1/3[/tex]
x = 1
x = 3
x = 6
x = 11
Answers
Answer:
Step-by-step explanation:
The equation is written incorrectly. It should be
(3x+2)/5 = (2x-1)/3
Answer:
11
Step-by-step explanation:
2) Find the standard deviation for the following data. Round your answer to 2 decimal
places as needed.
71
30
48
78
72
62
59
96
41
44
35
16
74
91
Answers
Answer:
23.59
Step-by-step explanation:
The standard deviation of this data set is 23.585, but rounded to the 2nd decimal place (hundredths), the number is 23.59.
Hope it helps!
On average, Gil reads 57 pages in a book each week.
How many pages des Gil read in 12 weeks?
Answers
Answer:
684
Step-by-step explanation:
57 times 12
12 weeks times 57 pages= 684 pages in 12 weeks
Solve the system of linear equations using multiplication.
−4x + 3y = −9
5x − 2y = 48
The solution is_____
PLEASE SHOW WORK
Answers
Answer:
The solution is (18,21)
Step-by-step explanation:
The picture shows the steps.
Hope this helps!!!
Convert the following Logarithmic Equation into a Exponential Equation.
log_3(-2x+1)=-2y+6
Answers
Answer:
3^(-2y + 6) = (-2x+1)
Step-by-step explanation:
We have;
log_3_(-2x+1) = -2y + 6
What this means in exponential form is that;
3^(-2y + 6) = (-2x+1)
Lena walks 2.5km every day. How far does she walk in 7 days? Write your answer in meters.
Answers
Answer:
17.5 meters
Step-by-step explanation:
To find how far she walks, multiply 2.5 by 7
2.5(7)
= 17.5
So, in 7 days, she walks 17.5 meters
3/4 divided by 9/11
Please help me
Answers
Answer:
11/42 as a decimal it is 0.2619
Need help on this question
Answers
together Alice & Mindy have saved $490 for a trip this summer. Amy has saved $54 more than Mindy. How much has each person saved? Write a system & use substitution to solve.
Answers
Answer:
Alice saved 218 and mindy saved 218+54
Step-by-step explanation:
Answer:
amy/alice saved 150$ andmindy saved 340$
Step-by-step explanation:
Please help 10 points What side is the HYPOTENUSE? Which side is opposite of angle H? Which side is adjacent to angle H?
Answers
- IU is the opposite side of angle H
- and i'm pretty sure HI is the adjacent side to angle H!
-the hypotenuse is always the longest side and will be the opposite side of the right triangle. so angle i is the 90 degree angle, so the opposite side is HU which is also the longest!
- angle H is marked and you can see the opposite side of it is IU which is one of the legs of this triangle.
- adjacent just means like next to or beside so the side HI is next to the angle H which is also a leg of this triangle.
i hope this helps!!
Shring's dining room table is round and has a radius of 4.5 feet. What is the tabletop's are ?
Answers
Answer:
Step-by-step explanation:
Radius 4.5 feet what’s is the tabletop area
The area of the table top is 63.62 square feet.
What is area in geometry?
'In geometry, the area can be defined as the space occupied by a flat shape or the surface of an object.'
According to the given problem,
Radius of the table = 4.5 feet
Since, the table is round,
Area of a circle = [tex]\pi r^{2}[/tex]
= π × 4.5 × 4.5
= 63.617
Hence, we can conclude, the area of the table-top is 63.62 square feet.
Learn more about area of a circle here: https://brainly.com/question/23328170
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I have 30 glasses each hold 1 1/3 do I have enough glasses if I have 50 cup of fruit punch bowl
Answers
Answer:
No you do not
Step-by-step explanation:
If you divide 50 by 1 1/3 you 37.5 which you you have 30 glasses so you do not have enough
R+6> 13 solving one step inequalities
Answers
Answer:
R > 7
Step-by-step explanation:
R+6> 13 (subtract 6 from both sides)
R > 13 - 6
R > 7
I need the answer quickly.
ivy Tech holds a children's fair aimed at kids aged 0-10, but finds that the majority of children who attend are pre-school aged or younger. The distribution of the children's ages at the fair would be an example of:
skewed left
skewed right
symmetrical
uniform
Answers
Answer:
B. skewed rightStep-by-step explanation:
The distribution is skewed right because most data concentrated to the left (preschool age or younger) and have longer tail to the right.
Find the mode: 22, 19, 15, 16, 18, 18, 5, 18
Answers
Answer:
18
Step-by-step explanation:
Mode is the value that appears most often in a set of data values. So, in this case, the answer is 18.
Explain your answer !!
Will give brainlst
Answers
Answer:
Im to lazy to do it
Step-by-step explanation:
good luck
The recommended daily allowance of fat is 65 grams. One serving of oatmeal contains 3 grams of fat. Which proportion can be used to calculate the PERCENT of the daily recommended allowance of fat contained in one serving of oatmeal?
Answers
Answer:
One serving of oatmeal provides 4.6% of the daily recommended allowance of fat.
Step-by-step explanation:
3/65 ≅ 0.046 = 4.6%
One serving of oatmeal provides 4.6% of the daily recommended allowance of fat.
P=a+b+c;P=36,a=9,b=10
Answers
Convert:
1/4 kilometer to
meters
Answers
Answer:
250
Step-by-step explanation:
Solve for x, round to the nearest tenth. find x x =
Answers
sin x° = 4/6
x° = sin^-1 (4/6)
x = 41.81° (nearest tenth)
Hope this helps!
Which ratio is equivalent to 20:15?
Answers
Answer:
4:3
Step-by-step explanation:
pls help me in math pls
Answers
Which expression is equivalent to 1/4(20z+24)?
Answers
Answer:
-5z-6Step-by-step explanation:
-1/4 x 20z = -5z
24 x -1/4 = -6
So we have -5z-6. So the expression equivalent to 1/4(20z+24) is -5z-6.
Explanation:
-1/4(20z + 24)
20/-4 = -5
24/-4 = -6
-5z - 6
Please help
9(2+17)+13z=17
Answers
Answer:
9(19)+13z=17
171+13z=17
13z=171-17
Z=154/13 is the answer
Step-by-step explanation:
Pls mark me in brain list
Answer:
z = -154/13
Step-by-step explanation:
1.) Add the numbers
9(2+17)+13=17
9(19) = 13z = 17
2.) Multiply the numbers
9 x 19 + 13z = 17
171 + 13z = 17
3.) Rearrange terms
171 + 13z = 17
13z + 171 = 17
4.) Subtract 171 from both sides of the equation
13z + 171 = 17
13z + 171 - 171 = 17 - 171
5.) Simplify
Subtract the numbersSubtract the numbers13z = -154
Solution
z = -154/13
Six students are working to simplify the expression shown. Drag each student's answer to a box to show whether it is fully simplified, equivalent to the given expression but not fully simplified, or not equivalent to the given expression
Answers
Answer:
2x -18x +14y -19 = -16x +14y -19 . . . not the same
-2xy -1 . . . not the same
16x +14y -1 . . . not the same
9 -16x +14y -10 = -16x +14y -1 . . . equivalent
-16x +14y -1 . . . equivalent and simplified
2x -18x +14y -1 = -16x +14y -1 . . . equivalent
Step-by-step explanation:
Answer:
Takk fyrir
Step-by-step explanation:
Please help me?!!!!!!!!!
Answers
What slope would a line have to be parallel to a line with a slope of -3?
Answers
Answer:
-3
Step-by-step explanation:
Parallel lines always share the same slope.
Hope it helps!
A hydroelectric power plant uses water power to produce a useful form of energy. The diagram below shows the production of electricity using hydropower. During this process, energy causes several types of motion and change inside the power plant.
Answers
Answer:
the concrete of the power plant supporting the turbine and generator
Step-by-step explanation: