An employee's salary,
S
(
n
)
, in dollars, at a company is a function of the number of years,
n
, that the employee has worked at the company.
The relationship between
n
and
S
(
n
)
is shown in the table below.
Answers
The question is incomplete. Here is the complete question.
An employee's salary, S(n), in dollars, at a company is a function of the number of years, n, that the employee has worked at the company.
The relationship between n and S(n) is shown in the table below.
Which of the following equations represents an explicit formula for S(n)?
A. S(n) = 40,000(1.05)ⁿ
B. S(n) = 40,000 + 1.05n
C. S(n) = 40,000(1.05)ⁿ⁻¹
D. S(n) = 40,000 + 1.05(n-1)
Answer: A. S(n) = 40,000(1.05)ⁿ
Step-by-step explanation: The table shows an exponential function, which is, in general, is of the form:
[tex]S(n)=S_{0}r^{n}[/tex]
where
S₀ is the initial value
r is the rate the salary grows
n is the years the employee worked
From the table, in the first year, an employee receives $40,000, so, that is the initial value.
The salary increases at a constant rate of 1.05 per year, as shown below:
[tex]r=\frac{42,000}{40,000}=\frac{44,100}{42,000}=\frac{46,305}{44,100}[/tex]
r = 1.05
So, the rate the salary grows is r = 1.05 or 5%.
Therefore, the equation that shows an explicit formula for S(n) is [tex]S(n)=40,000(1.05)^{n}[/tex].
Related Questions
The area of the parallelogram is___ cm2
Answers
Answer:
Step-by-step explanation:
Area of parallelogram=base×perpendicular height
Area of para.= 7×14
Area of para.= 98cm²
Which quadrilateral can have 2 pairs of parallel sides, all sides
with equal length, and no right angles?
A square
A triangle
A Rhombus
Trapezoic
Answers
I am assuming (perhaps unjustifiably) that when you say “two pairs of parallel sides” you are talking of a figure with no other sides than those four.
There are, of course, many other polygons (hexagons, octagons, decagons, etc) which have two pairs of parallel sides and other sides, any two of which may or may not be parallel.
The attached figure is a parallelogram with one corner chopped off, making it a pentagon. It still has two pairs of parallel sides & no right angles.
1. The sum of two numbers is 64. One of the numbers is 16 more than 3 times the other. Find the
two numbers.
Answers
Answer:
The two numbers are 52 and 12.
Step-by-step explanation:
x+y=64
x=16+3y
Now, substitute the second equation into the first one.
16+3y+y=64
16+4y=64
4y=48
y=12
Substitute 12 into one of the equations in order to find x.
x=16+3(12)
x=16+36
x=52
How many fourths are equal to 1/2? Please help!
Answers
1 3/8 equations that are true and different
Answers
Answer:
you got this
Step-by-step explanation:
chose what you think is right it works with me so it should work with you
If 1=3. 2=3. 3=5. 4=4. 5=4. Then, 6=?
Answers
Question: If 1=3. 2=3. 3=5. 4=4. 5=4. Then, 6=?
Answer: Like wise, If 1=3.2=3 3=5 4=4 5=4 Than 6=3
Because of six. Six split in two is 3 therefore 6=3
More: 7=5, 8=5, 9=4, 10=3
Hope this helps~~~
Find three consecutive numbers whose sum equals
999.
Answers
Answer:
332, 333, 334
Step-by-step explanation:
First, we acknowledge that the equation that we need to solve will be "x+(x+1)+(x+2)=999" This is because x represents the smallest of three consecutive numbers whose sum is 999. Simplifying this equation will leave us with 3x+3=999 which is simplified further to 3x=996 and again simplified to x=332. X is the smallest number of the three.
one hectameter is =how much cm?
A=100
B=10000
C=10
D=1000
Answers
Answer:
option B is correct because
1 hectameter is equal to 10000cm
Silvia was growing some plants. She measured the height, in inches, of the plants and made thisline plot to show her data:
( please help will give brainliest if you do and do trolling or I’ll report you)
Answers
Answer:
The answer is C.
Step-by-step explanation:
The equivalents to 1/4 are 2/8, 3/12, 4/16 etc. So the fractions after 1/4 are higher than 1/4. Then you count how many 'x's are in the columns for those measurements and you will get 6.
Which translation transformed the parent function, f(x),
to g(x))?
a translation right 2 units
a translation left 2 units
a translation up 2 units
a translation down 2 units
Answers
Answer:
A. a translation right 2 units
Step-by-step explanation:
JUST DID IT.
What relationship between the quantities is shown in the table?
The relationship between quantities is +10.
The relationship between quantities is ×11.
The relationship between quantities is – 30.
The relationship between quantities is + 20.
Answers
Answer:
x11
Step-by-step explanation:
mega brain IQ
The relationship between the quantities x and y is option B. The relationship between quantities is ×11.
What is Direct Variation?Direct variations are defined as the functions of the form y = kx, where k is a constant.
Here when y increases, x increases and if y decreases, x also decreases.
Given values of x are 1, 2, 3 and 4.
Given values of y are 11, 22, 33 and 44.
We have to find the relationship between x and y.
Let y = f(x).
f(1) = 11, f(2) = 22, f(3) = 33 and f(4) = 44
Clearly we can see that,
f(x) = 11x, which is a direct variation.
When x = 1, f(1) = 1 × 11 = 11
When x = 2, f(2) = 2 × 11 = 22
When x = 3, f(3) = 3 × 11 = 33
When x = 4, f(4) = 4 × 11 = 44
So the relationship is y = x × 11
Hence the relationship between quantities is ×11.
Learn more about Direct Relationships here :
https://brainly.com/question/28628342
#SPJ3
Your question is incomplete. The complete question is as given below.
Use the table to find the relationship between the two quantities. A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 3, 4. Column 2 is labeled y with entries 11, 22, 33, 44. What relationship between the quantities is shown in the table?
The relationship between quantities is +10.
The relationship between quantities is ×11.
The relationship between quantities is –30.
The relationship between quantities is +20.
16 and 3/5 - 4 and 4/5 equals
Answers
Answer:
59/5
Step-by-step explanation:
16 and 3/5 = 83/5
4 and 4/5 = 24/5
83/5 - 24/5 = 59/5
What is the value of -91/5 - 10 + 2/5+ 2(14 1/2-7)
Answers
Answer:
Exact Form:
−64/5
Decimal Form:
−12.8
Mixed Number Form:
−12 4/5
Step-by-step explanation:
bc I used a calculator
An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $1800 and his stock in Company B was worth $1930. The stock in Company A has decreased 16% since last year and the stock in Company B has decreased 20%. What was the total percentage decrease in the investor's stock account? Round your answer to the nearest tenth (if necessary).
Answers
Answer:
Mar 8, 2020 · 2 answers
Last year, his stock in Company A was worth $7200 and his stock in Company B was worth $3510. The ...
Answer:
18.1%
Step-by-step explanation:
Find the slope of the line that passes through (8,7) and (5,5)
Answers
Answer:
slope= 2/3
Step-by-step explanation:
Slope intercept formula: y2-y1/x2-x1
5-7/5-8 = -2/-3 = 2/3
At a sale this week, a suit is being sold for $217. This is a 38% discount from the original price. What is the original price?
Answers
Answer:
List price (original price) = $350
Discount amount ($ saved) = $133
Step-by-step explanation:
The list price is the sale price ($217) divided by the difference of 1 minus the result of the discount (38%) divided by 100.
Type your answer in the box.
y = 10 b = 6
Answers
Answer:
The answer is -60 (I believe)
Step-by-step explanation:
3(-10)-5(6)
-30-30 = -30+-30
-30+-30= -60
The answer is -60
Step-by-step explanation:
If y = 10 and b = 6 Then
3(-y) - 5b
= 3 *( - 10 ) - 5 * 6
= - 30 - 30
= - 60
Hope it will help :)❤
Find the length of the midsegment of the trapezoid.
Answers
Answer:
29
Step-by-step explanation:
The Trapezoid Midsegment segment theorem states that the length of the midsegment is half the sum of the length of its two parallel sides. Therefore:
MN = ½(AB + DC)
MN = ½(21 + 37)
MN = ½(58)
MN = 29
solve this system of equations by graphing . first graph the equations then type the solution .
y=1/5x-5
y=-3/5x-1
PLEASE HELP ILL GIVE 40 POINTA PLEASE DONT SKIP:(((
Answers
9514 1404 393
Answer:
(x, y) = (5, -4)
Step-by-step explanation:
The Desmos graphing calculator is a handy tool for solving questions like this one. It tells you the solution is ...
(x, y) = (5, -4)
What expression is equivalent to
2/3 X 5
Answers
Answer:
1/3
Step-by-step explanation:
1/3 can be used as an expression that is exactly the same as 2/3x5.
When you multiply 2/3 x 5-
Look here if you need help solving 2/3 X 5: (2/3 x 5/1...is the simplest way to multiply the two, make sure to multiply 2 by 5 and 3 by 1 to get your answer.)(5x2=10...3x1=3)
-you get 10/3. This answer simplified is 1/3. So in the end, 1/3 is a great expression or answer to use as an equivalent to the equation 2/3 x 5.
Hoped this helped! :)
factor this quadratic polynomial -8x^2+8
Answers
8 (-x^2+1)
(1-x) (1+x)
Rearrange into (-x+1) (x+1) and add the 8 back where it was
8 (-x+1) (x+1)
Answer:
This is my answer
Step-by-step explanation:
-8×12+8
-96+8
-88____so this is the answer I solved it properly
When 2 dice are rolled, find the probability of getting a sum greater than 8.
Answers
Answer: 10/36
When a pair of fair dice are rolled , the total possible cases are (6 × 6) = 36. Out of these 36 cases the following 10 cases are favors(giving the sum > 8) for the happening of the event . These 10 cases are (3, 6), (4, 5), (4, 6),(5, 4), (5, 5), (5, 6) , (6, 3), (6, 4), (6, 5), & (6, 6)
Step-by-step explanation:
6×6=36 possible outcomes and only 15 possible outcomes summing 8 or more than 8.
Since there are six possible outcomes, the probability of obtaining any side of the die is 1/6. The probability of rolling a 1 is 1/6, the probability of rolling a 2 is 1/6, and so on.
6.3.12
The coordinates of point T are (0,5). The midpoint of ST is (2,-2). Find the coordinates of point S.
The other endpoint is
(Type an ordered pair.)
Answers
Answer:
[tex]S = (4,-9)[/tex]
Step-by-step explanation:
Given
[tex]T = (0,5)[/tex]
[tex]Midpoint = (2,-2)[/tex]
Required
Find S
Midpoint is calculated as:
[tex]Midpoint = 0.5(x_1 + x_2,y_1+y_2)[/tex]
So, we have:
[tex](2,-2)= 0.5(0+ x_2,5+y_2)[/tex]
Where x2 and y2 are the coordinates of S
Multiply through by 2
[tex]2 * (2,-2)= 2 * 0.5(0+ x_2,5+y_2)[/tex]
[tex](4,-4)= (0+ x_2,5+y_2)[/tex]
[tex](4,-4)= (x_2,5+y_2)[/tex]
By comparison:
[tex]x_2 = 4[/tex]
[tex]5 + y_2 = -4[/tex]
[tex]y_2 = -4-5[/tex]
[tex]y_2 = -9[/tex]
So:
[tex]S = (4,-9)[/tex]
if you know that there are 60 minutes in an hour how could you find the number of hours in 300 minutes
Answers
Answer:
300/60=5 Hours
Hope it helps
Answer:
5hours
Step-by-step explanation:
................
300÷60
whoever gets this correct gets brainliest
Answers
Answer:
More. Older
Likey
To vote
Less likely. younger
to
vote
The distance around a tree trunk is 69.08 inches. What is the radius of the tree?
Answers
Answer:
10.99
Step-by-step explanation:
cuz it is -_-
Malik joins a gym. He gets $2 per month of the regular monthly rate for 3 months. Malik pays $49.50 for 3 months. What is the gym's regular monthly rate, Show your work
Answers
Answer:
$18.50
Step-by-step explanation:
$49.50/3months=$16.50
$16.50+$2=$18.50
Malik joins a gym, then the gym's regular monthly rate will be equal to $18.50.
What is an arithmetic operation?The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers.
Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the given information in the question,
Price paid by Malik in three months = $49.50
Then, monthly price will be,
$49.50/3months = $16.50
Then, the gym's regular monthly rate will be,
$16.50 + $2 = $18.50
To know more about arithmetic operations:
https://brainly.com/question/13585407
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what is 2 - 1/8
???????????????????????
Answers
Answer:
1 7/8
Step-by-step explanation:
2 - 1/8 = 1 7 /8
1 7/8 + 1/8 = 2
If you answer this you will get 69 points but please answer asap
Answers
Answer:
I think the answer for the first one is 3 I am not sure about the second one
Which three pieces of information contribute the most to your credit score?