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:
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SOMEONE HELP ME PLEASE !! THANK YOU
A rectangle has a a perimeter of 68 ft. The length and width are scaled by a factor 1.5.
The perimeter of the resulting rectangle is ___ ft.
Answer and Step-by-step explanation:
Here is the equation for finding the sides (just to show):
68 = (2L + 2W)
We multiply L and W by 2 because there are two of the lengths and 2 of the widths.
Now, we add the scale factor to the outside, but on both sides of the equation.
68 × 1.5 = 1.5(2L + 2W)
Multiply 68 by 1.5.
102 = 1.5(2L + 2W)
The answer is 102.
The perimeter of the resulting rectangle is 102 ft.
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help me in math i'm
confused
Answer:
4
Step-by-step explanation:
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In function graphing, if there is no amplitude change (mainly looking for tangent), what do you write? 1?
Answer:
The period of the tangent function is π because the graph repeats itself on intervals of kπ where k is a constant. If we graph the tangent function on −π2 to π2 , we can see the behavior of the graph on one complete cycle.
The tangent function does not have an amplitude because it has no maximum or minimum value. The period of a tangent function, y=atan(bx) , is the distance between any two consecutive vertical asymptotes..
so its not 1 but 2.
hope its right.
What is the area of the kite?
Answer:
1.125 ft²
Step-by-step explanation:
Take the height and the diagonals, multiply, and then divide by 2
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Answer:
A.) .75
Step-by-step explanation:
So the upper quartile is basically just the median of the bottom half. So we take the bottom half of the numbers:
0.5, 0.5, 0.75, 0.75, 1, 1, 1
And the median of the is 0.75
So the lower quartile is .75
hope this helps:)
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Answer:
A is equal to 20.
Step-by-step explanation:
To find the missing side we have to square both 21 and 29.
Because 21 x 21 = 441, and 29 x 29 = 841, all we have to do is subtract 841 from 441 and we have 400.
Now we have to find the square root of 400, since 20 x 20 = 400, that means 20 is our answer.
Please help!!! I’ll give you the Brainly mark
Answer:
4
Step-by-step explanation:
just look at the graph and find where y is -5 the correlating point is 4
Emma has a gift box in the shape of a cube. Each side of the box measures 9 centimeters. What is the volume of the gift box?
Answer:
729
Step-by-step explanation:
Each side of the cube measures 9cm
The volume of a cube is V^3
Therefore the volume can be calculated as follows
= 9^3
= 729
Hence the volume is 729
The local water slides have 72
employees, of which 25% are
temporary. How many
temporary employees are
there?
Answer:
18
Step-by-step explanation:
Step 1: Convert 25% to a fraction
[tex]\frac{25}{100}[/tex]
Simplify
[tex]\frac{1}{4}[/tex]
Step 2: Convert 72 to a fraction
[tex]72 = \frac{72}{1}[/tex]
Step 3: Set it up
[tex]\frac{1}{4}\times \frac{72}{1}[/tex]
Step 4: Cross divide
[tex]72 \div 4 = 18[/tex]
[tex]1 \div 1 = 1[/tex]
[tex]\frac{18}{1} = 18[/tex]
Therefore, the are 18 temporary employees in the local water slides.
Mrs. Murphy by balloons garlands paper lanterns and banners to decorate a school party she got three times as many bags of balloons as paper lanterns seven more garlands than paper lanterns and for banners she paid $5.25 for each banner $6.50 for each paper lantern five dollars for each bag of balloons and $3.50 for each garland how many of each kind of decoration did she purchase if she paid $145.50 please help
Answer:
Mrs. Murphy bought 4 packages of paper lanterns, 12 bags of balloons, 11
garlands and 4 banners
Step-by-step explanation:
I'm not really sure how I got this but it hope it helps!
Answer the statistical measures and create a box and whiskers plot for the following set of data.
1, 1, 6, 10, 12, 13, 13, 14, 16, 19
Min:
Q1:
Med:
Q3:
Max:
Answer:
min 1
Q1 = 6
med = 12.5
Q3 = 14
Max = 19
Step-by-step explanation:
Min simply refers to the smallest value and that is 1
Q1 is the first quartile and the formula is;
Q1 = (n+ 1)/4
where n is the number of terms which is 10
Q1 = (10 + 1)/4 = 2.75
This is approximately 3 and the 3rd term is 6
med is the median value and that is 12 + 13 = 25/2 = 12.5
Q3 is the third quartile
Q3 = 3(n+ 1)/4 = 8.25 and that is the 8th term which is 14
Max is simply the highest in value and that is 19
Can someone please explain this question to me?
The image is attached.
Answer:
13
Step-by-step explanation:
Given the expression;
2 1/3 : 4 1/3 = 7 : x
Wea re to look for x;
Convert to improper fractions;
7/3 : 13/3 = 7:x
7/3 * 3/13 = 7/x
7/13 = 7/x
Cross multiply
7x = 13 * 7
7x = 91
x = 91/7
x = 13
Hence the unknown value is 13
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Answer:
Step-by-step explanation:
A movie theater sells small and large boxes of popcorn. A small box of popcorn costs $1.50. A large box of popcorn costs $4.00. A total of 25 boxes of popcorn were sold totaling $75.00.
Marge purchased x bicycle helmets and y tire pumps. Each helmet cost $12.00 and each pump cost $8.00. She purchased a total of 18 items and spent $176.00. How many helmets did Marge buy?
Answer:
8 x 12 = 96 10 x 8 = 80 96 + 80 = 176 so the answer is 8 helmets and 10 pumps
Step-by-step explanation:
Can somebody help me with this im pretty bad with coordinates ty in advance!
Answer:
5 units
Step-by-step explanation:
4^2 + 3^2 = 25
sqr root 25 is 5
Answer:
The distance from P to Q is
D. 5 units
The radius of a circular stage is 15 feet. Katie wants to lay down tile to cover the stage. If Katie pays $12.50 per square foot of tile, how much would it cost to tile the entire stage floor? Round to the nearest whole dollar.
Answer:
$8835.75
Step-by-step explanation:
The equation to use for this is for the area of a circle which is:
π r^2
So by plugging in 15 feet:
π 15^2,
π 225,
~706.86 ft^2.
Next, multiply this by the $12.50 per square foot.
706.86 * 12.50 = $8835.75
All done!
write in point-slope form (-4,-3) m=-1
Answer:
Point-slope form: y + 3= -1(x + 4)
Slope-intercept form: y = -1x - 7
y = m * x + b,
where:
m is the slope; and
b is the intercept of the y-axis.
Given the exponential function A(x)= P (1+r)^x, what value for r will make the function a decay function
Answer:
negative value for r
Step-by-step explanation:
Given data
Given the exponential function A(x)= P (1+r)^x
A negative value for r will make the function a decay
Hence the decay function will look like
A(x)= P (1-r)^x
umm please help me it is confusing
Answer: x = 24 & x = 96
Step-by-step explanation:
Answer: Every option given is a solution
Any value larger than 18 is a solution. So we can say x > 18.
============================================================
Explanation:
To isolate x, we multiply both sides by 6 like so
3 < x/6
3*6 < x
18 < x
x > 18
In the last step, I swapped the left and right sides. This swap meant that I had to flip the inequality sign as well. Saying x > 18 means we can pick anything larger than 18 to have it as a solution. Something like x = 5 is too small, but values like x = 24 and x = 96 will work. In fact, all of the answer choices given are larger than 18. So you'll check each answer box.
---------
As a way to confirm a potential answer, we plug it back into the original inequality. Let's say we wanted to check x = 90
So,
3 < x/6
3 < 90/6 ... replace every x with 90
3 < 15
The last inequality is true, because 3 is indeed smaller than 15. Therefore, the original inequality is true when x = 90. We confirm that x = 90 is a solution.
The steps to confirm x = 114, x = 96, and x = 24 will follow the same idea. I'll let you do those confirmations.
WILL MARK BRAINLISET IF GOTTEN RIGHT!!
Answer:
12 cm
Step-by-step explanation:
OP = √(15² - (18/2)²)
=√(225- 9²)
=√(225-81)
=√144
= 12
The debate team bought 20 matching T-shirts to split among its members. Each member of the team will get t T-shirts. Write an expression that shows how many people are on the debate team.
Answer:
20/t members are on the team
Step-by-step explanation:
From the question, we want to get the number of people on the team
20 T-shirts were bought
each of the team members got t T-shirts
To know the number of people on the team, we have to divide the number of shirts bought by the number of shirts gotten by each team member
We simply have this as 20/t
I need help so yea please help
Answer:
option 3
Step-by-step explanation:
divide the diameter by 2 to get the radius.
pi×r^2
3.14×42^2=5538.96 km^2
Given the following table, what is the quadratic equation?
X
у
1
2
2
5
10
3 4
17
O A 2x2 + 1
o B. x2 + 1
o C. 4x2 + 1
OD. 2x2 + x + 1
Answer:
Answer B.
x² + 1
Step-by-step explanation:
x=1
Input x= 1 into x²+1 to get y
(1)²+1 = 2
when x=2
(2)²+1 = 5
when x = 3
(3)² + 1 = 10.
when x=4
(4)² + 1 = 17
Hence Option B
4. My son's age is of my wife's age, my wife's age is of my age, and my age is of my father's age. Find
age of my son, if my father is 50 years old
Answer:
50?
Step-by-step explanation:
Answer:
The age of son is 50.THANK YOU.
Leslie invested in an account that paid 2% annual interest compounded continuously. After 40
years, her investment was worth $6231.51. To the nearest dollar, what was the value of
Leslie's original investment?
help lolololololololol
Answer: 27/ D8
Step-by-step explanation: Don’t know if you still need the answer and Hope this helps and have a good day
please help me solve this
Ashley and her 2 sisters are planning to buy a treadmill online. The total cost of the treadmill is $400. In addition, there is a shipping and handling fee that is 5% of the cost of the treadmill. Finally, there is a 7% sales tax added to the cost of the purchase (treadmill cost + shipping and handling).
If they decide to split the bill evenly, then how much will each sister have to pay?
Answer:
Step-by-step explanation:
200 because 4 dived by 2=2. kay?
Evaluate plzzz help am giving brainliest
Answer:
-4a/-8 +-12a
Step-by-step explanation:
I'm assuming its just asking you to put it down and now solve it so, I plugged in the top to the bottom, and multiplied it all; getting ^, if its asking for a more simplified answer it would be a/2 + 12a ... I think