Answer:
A=600cm²
Step-by-step explanation:
Solution
Step-by-step explanation:
surface area of cube =6a²6×10²6×100600cm²stay safe healthy and happy.A worker earns a 3% increase in her annual salary for each of 5 years. They plan to continue working in their position for an additional n years. If they continue to earn a 3% increase in their annual salary, what statement could describes the expression that can be used to calculate the total percent increase in their annual salary from the first year to the last year
Answer:
Given that a worker earns a 3% increase in her annual salary for each of 5 years, and they plan to continue working in their position for an additional N years, if they continue to earn a 3% increase in their annual salary, to determine what statement could describe the expression that can be used to calculate the total percent increase in their annual salary from the first year to the last year the following calculation should be performed:
1 + 0.03 (interest rate) ^ N (number of years) = final interest rate
1.03 ^ N = Final interest rate
Thus, for example, if it were invested for 5 years, the equation would operate as follows:
1.03 ^ 5 = X
1.16 = X
The total percent increase in their annual salary from the first year to the last year is [tex](1.03)^n[/tex].
What is Percentage?A percentage is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
As it is given that the annual salary of the worker increases at a rate of 3%. therefore, the salary of the worker increases compounded at a rate of 3% annually. Therefore, the salary of the worker after n number of years can be written as,
[tex]A = P(1+\dfrac{r}{100})^n[/tex]
where A is the final salary of the worker, P is the initial salary of the worker, r is the rate at which the salary is increasing, and n is the number of years.
Substituting the values in the formula,
[tex]A = P(1+\dfrac{3}{100})^n\\\\A = P(1.03)^n[/tex]
Hence, the total percent increase in their annual salary from the first year to the last year is [tex](1.03)^n[/tex].
Learn more about Percentage:
https://brainly.com/question/6972121
Select the correct answer from each drop-down menu. Javier purchased a digital camera for $384. The value of the camera depreciates by 25% every year. This situation represents . The rate of growth or decay, r, is equal to . So the value of the camera each year is times the value in the previous year. It will take years for the value of the camera to reach $162.
Answer:
it will take 3 yrs for the value of camera to reach $162.
Step-by-step explanation:
Pd = P(1-R/100)^T
162 = 384(1-25/100)^T
162/384 = (3/4)^T
27/64 = (3/4)^T
(3/4)^3 = (3/4)^T
T = 3
Answer:
this represents: exopnential decay, the rate of growth or decay is equal to: 0.25, value of the camera each year is: 0.75, it will take 3 years.
Step-by-step explanation:
Find the area of the circle. Use n = 3.14 and round your answer to the nearest hundredth.
Answer:
615.44m
hope this helps
have a good day :)
Step-by-step explanation:
If using the method of completing the square to solve the quadratic equation x^2+11x-38=0 which number would have to be added to "complete the square"?
Answer:
121/4
Step-by-step explanation:
To complete the square, we have to work with the coefficient of x
We have to divide the coefficient of x by 2, square it and add it to both sides
So we divide 11 by 2; which is 11/2; then square it
we have this as 121/4
This number is what we are going to have added
Answer:
You need to add [tex]\dfrac{121}4[/tex]Step-by-step explanation:
[tex]x^2+11x-38=0\\\\x^2+2\cdot\frac{11}2x-38=0\\\\\underline{x^2+2\cdot x\cdot\frac{11}2+\bold{\big(\frac{11}2\big)^2}}-\big(\frac{11}2\big)^2-38=0\qquad\qquad\qquad\{\big(\frac{11}2\big)^2=\frac{121}4\}\\\\ \big(x+\frac{11}2\big)^2-\frac{121}4-\frac{152}4=0\\\\ \big(x+\frac{11}2\big)^2-\frac{273}4=0\\\\ \big(x+\frac{11}2\big)^2=\frac{273}4[/tex]
[tex]x+\frac{11}2=\pm\frac{\sqrt{365}}2 \\\\x=\frac{-11\pm\sqrt{365}}2[/tex]
If -1 and -2 are the zeroes of a polynomial 2x 3 -x 2 -5x-2, find its third zero
Answer:
The third zero is 1.
Step-by-step explanation:
Two shops, waitrose and budgens sell the same brand of cans of soup but with different offers. Calculate the price for 18 tins at each shop. 6 for £4.25 9 for £6.14
Answer:
Waitrose: £12.75
Budgens: £12.28.
Step-by-step explanation:
The price of 6 tin cans in waitrose is £4.25
The price of 9 tin cans in budgens is £6.14
The price of one tin can in waitrose is
[tex]\dfrac{4.25}{6}[/tex]
The price of 18 tin cans in waitrose will be
[tex]\dfrac{4.25}{6}\times 18=\pounds 12.75[/tex]
The price of one tin can in budgens is
[tex]\dfrac{6.14}{9}[/tex]
The price of 18 tin cans in budgens will be
[tex]\dfrac{6.14}{9}\times 18=\pounds12.28[/tex]
The price of 18 tin cans in waitrose is £12.75 and in budgens is £12.28.
You haft too use elimination to solve this thank you
Answer:
x=0, y=-2
Step-by-step explanation:
Because 9y appears twice in both equations, you can subtract the equations to eliminate the y variable so you can solve for x:
-7x + 9y = -18
-(4x + 9y = -18)
__________
-11x = 0
x = 0
Since we know x=0, then we plug it back into one of the equations to get the value of y:
-7x + 9y = -18
-7(0) + 9y = -18
0 + 9y = -18
9y = -18
y = -2
Therefore, x=0, and y=-2
Can you make y=-(x+2)^2+17 standard form?
Answer:
y = - x² - 4x + 13
Step-by-step explanation:
The equation of a parabola in standard form is
y = ax² + bx + c ( a ≠ 0 )
Given
y = - (x + 2)² + 17 ← expand factor using FOIL
= - (x² + 4x + 4) + 17 ← distribute parenthesis by - 1
= - x² - 4x - 4 + 17 ← collect like terms
y = - x² - 4x + 13
Answer:
y = -x² -4x +13
Step-by-step explanation:
y = - ( x+2)² + 17
y = - x² -4x -4 +17
y = -x² -4x +13
PLEASE HELP ME ON THIS QUESTION I DONT GET IT
Can someone do this please
Answer:
124 degrees
Step-by-step explanation:
We know that a straight line is equal to 180 degrees. Therefore, all of these angles combined have to be equal to 180 degrees. This means the equation will be 3x+94+x+30+2x-4=180. Combine like terms to get 6x+120=180. 6x=60. x=10. Now that we know x, we plug it into the equation to find angle AOC. This will make the equation 3(10)+94. This is equal to 30+94 which is equal to 124. Therefore, angle AOC is equal to 124 degrees.
If this helps please mark as brainliest
Ignore the one I chose. Help please. Giving brainliest!
Answer: Your answer is correct
Step-by-step explanation: The last answer is incorrect because the line has a positive slope and shows a positive association.
I have to answer this but I’m all types of confused.
Answer:
7. 143°
8. 143°
9. 37°
10.37°
11. 37°
12. 143°
Step-by-step explanation:
If this helps please mark as brainliest
Can someone helppp Mr. Jones surveyed 300 men and 250 women about their vehicles. Of those surveyed, 78
men and 95 women said they own an SUV. If a person is chosen at random from
those surveyed, what is the probability of choosing a woman or a person that owns an SUV?
Answer:
did you find the answer
Step-by-step explanation:
Look at this set of ordered pairs:
(18, 17)
(12, 11)
(0,8)
(6, 7)
Is this relation a function?
yes
no
Answer: Yes
If I remember correctly, I believe these ordered pairs indicate a function, as there is exactly 1 output for every input (i.e., (output, input)). If there were 2 inputs of the same number, that'd make this relation not a function.
help will give brainliest if correct
Answer: 32
Step-by-step explanation: the big number is 64 and the smallest number is 32. 64-32=32
The graph represents the number of ice cream cones sold in New Orleans and Seattle during the month of July. The number of
cones sold in Seattle is modeled by y = 3x, and the number sold in New Orleans is modeled by y = 3X Which statement is true
about this situation?
D)
A)
The number of ice cream cones sold in Seattle decreases exponentially.
B)
The number of ice cream cones sold in New Orleans is represented by the
green Line
The number of ice cream cones sold in New Orleans is increasing by an
equal factor over equal intervals.
D)
The number of ice cream cones sold in Seattle will more than likely exceed
the number sold in New Orleans as the value of x increases
Answer:
C
Step-by-step explanation:
What is the value of x? (Type an integer or a decimal.)
Answer:
2.8
Step-by-step explanation:
10× X = 7× 4
X = 7×4/10 = 2.8
Roberto delivers 252 newspapers each morning. This morning, he has already delivered 197. He subtracts to find that he has 55 left to deliver today.
252 minus 197 = 55. 2 in the hundreds column is crossed out and 1 is above it. 5 in the tens column is crossed out and 14 is above it. 2 in the ones column is crossed out and 12 is above it.
Which equations can he use to verify his calculation? Check all that apply.
197 + 55 = 252
197 – 55 = 142
252 – 55 = 197
252 + 197 = 449
55 + 55 = 110
A. 197 + 55 = 252
C. 252 – 55 = 197
Step-by-step explanation:
hope this helps :)
Which of the following is not a property of a parallelogram?
1. Diagonals bisect each other
2. Consecutive angles are supplementary
3. Opposite sides are congruent
4.Opposite angles are congruent
5. Consecutive angles are complementary
Thank you so much for helping me!
Ali has $ 345.50 in his piggy bank. Ahmed has half as many, how many does Ahmed have?
Answer:
$172.75 is the amount Ahmed has
-112/3 x (-4 1/5) =?
Answer:
sorry Wala po akong answer ehhh sorry
Whats 8.398 x 10 ^-2 in standard notation
help pls, i don’t get it
the diameter of a circle is 26 yards. what is the circle's area
Step-by-step explanation:
[tex]196\pi[/tex]
is the answer
plz mark as brainliest
How to find the area of the circle
Answer:
200.96
Step-by-step explanation:
Using the formula they give you, find the area
8²*π= 64π= 64*3.14 = 200.96
the area of an circle is = 64
Step-by-step explanation:
w x l
8x8 = 64.
3.
Find a solution to the following system of equations.
-3x+3y=-9
-3x+y=7
A. (–2, 2)
B. (–5, –8)
C. (5, 2)
D. (0, 7)
Answer:
B. (–5, –8)
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
( − 5 , − 8 )
Equation Form:
x = − 5 , y = − 8
Please Help
Evaluate the function for the given value of x.
y = 3^x; x = 2
Options:
1. 6
2. 9
3. 5
4. 1
Answer:
9
Step-by-step explanation:
3² = 3 x 3 = 9
The first figure is dilated to form the second figure.
Which statement is true?
The scale factor is 0.4.
The scale factor is 0.9.
The scale factor is 2.1.
The scale factor is 2.5.
Answer:
The scale factor is 2.5
Step-by-step explanation:
took k-12 test
can someone help me pls
Answer:
y=1 +4.75
Step-by-step explanation:
The area of a square is 16 cm2. The square is the base of a cube.
What is the surface area of the cube?
the answer is 96 cm ^ 2
16 × 6 =96