Alexander was offered a job that paid a salary of $24,000 in its first year. The salary was set to increase by 4% per year every year. If Alexander worked at the job for 5 years, what was the total amount of money earned over the 5 years, to the nearest whole number?
Answers
9514 1404 393
Answer:
$129,992
Step-by-step explanation:
The sum of a geometric series is given by ...
Sn = a1·(r^n -1)/(r -1)
Here, the first term is 24000, and the growth factor r is 1+4% = 1.04. The sum is then ...
S5 = 24000·(1.04^5 -1)/(1.04 -1) ≈ 129992
The total earned over 5 years was $129,992.
___
A spreadsheet can list the annual salaries and add them up. The salary each year is 1.04 times that of the previous year. That is shown in the attachment.
Related Questions
Randi and Peter are planning a surprise party for Mike and have
requested your services as a party planner. They have a budget of
$460 to spend on the party. Randi and Peter have found two
different companies, Party Your Socks Off and Party Planet, to cater
the event, and would like you to determine which company offers
the best deal based on their budget of $460.
Answers
Answer:
the best deal to cater the party isparty planet
can someone help me with finding the slope of the graph- ONLY GRAPH
Answers
Answer:
m = - 2
Step-by-step explanation:
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
Which polygon appears to be regular?
Figure A
Figure B
Figure C
Figure D
Answers
Answer:
Figure B
Have a good day
Which right triangle's unknown leg measure is 43 units? Assume the given length are in the same unit of measure.
60
12
\/44
8
5
90
|/21
19
) Intro
Done
Answers
Answer: the fourth triangle
Step-by-step explanation:
I got it right :)
Answer:
The 4th triangle
Step-by-step explanation:
The inverse, f'(x), of f(x) =
X + 5
Х
can be written as
5
x-1
a) Find f(2)
b) Find f'(2)
Answers
Step-by-step explanation:
Given
[tex]f(x) = \frac{x + 5}{x} [/tex]
So
[tex]f(2) = \frac{2 + 5}{2} \\ = \frac{7}{2} [/tex]
Now
[tex] {f}^{ - 1} (x) = \frac{5}{x - 1} [/tex]
So
[tex] {f}^{ - 1} (2) = \frac{5}{2 - 1} \\ = \frac{5}{ 1} \\ = 5[/tex]
Hope it will help :)❤
In a lilac paint mixture, 40$ of the mixture is white paint, 205 is blue, and the rest is red. There are 4 cups of blue paint used in a batch of lilac paint. If you get stuck, consider using a tape diagram.
Answers
Answer:
White paint is 8
Blue paint is 4
Red paint is 12
The recipe will yield 24 cups of lilac paint if you are talking about the problem i had earlier on my math homework
3sin60°+xcos30°.tan45°=xcot30°
Answers
Answer:
x = (6[tex]\sqrt{2}[/tex])/(4[tex]\sqrt{2}[/tex] -3)
Step-by-step explanation:
sin60 degree = [tex]\sqrt{3}[/tex] /2
cos30 degree = 1/2
tan 45 degree = sin45 degree / cos45 degree = ([tex]\sqrt{2}[/tex]/2)/([tex]\sqrt{2}[/tex] /2) = 1
cot 30 degree = cos30 / sin30 = ([tex]\sqrt{3}[/tex] /2)/(1/2) = [tex]\sqrt{3}[/tex]
so, let us plug the above values in the given eqution and solve for x
3([tex]\sqrt{3}[/tex] /2 ) + x(1/2) *1 = x([tex]\sqrt{3}[/tex])
3([tex]\sqrt{3}[/tex] /2 ) = x([tex]\sqrt{3}[/tex]) -x(1/2)
3([tex]\sqrt{3}[/tex] /2 ) = x(([tex]\sqrt{3}[/tex])-(1/2)) (by taking x as a common factor)
3([tex]\sqrt{3}[/tex] /2 ) = x(((2[tex]\sqrt{3}[/tex])-(1))/2)) (making the same common denominator
now devide both sides by (((2[tex]\sqrt{3}[/tex])-(1))/2))
x = 3([tex]\sqrt{3}[/tex] /2 ) / (((2[tex]\sqrt{3}[/tex])-(1))/2))
x = 3([tex]\sqrt{3}[/tex] ) / ((2[tex]\sqrt{3}[/tex])-(1))
please help!! ______
Answers
Answer:
A) AA similarity
Step-by-step explanation:
AA stands for "angle, angle" and means that the triangles have two of their angles equal.
SAS stands for "side, angle, side" and means that we have two triangles where the ratio between two sides is the same as the ratio between another two sides and we we also know the included angles are equal.
SSS stands for "side, side, side" and means that we have two triangles with all three pairs of corresponding sides in the same ratio.
Here we can easily see that two angles are equal
∠CYK and ∠KZP∠CKY and ∠PKZ (they're cross angles)Therefore it's AA similarity
!!!PLEASE HELP WILL GIVE BRAINLIEST EASY!!!
17 squared is between which of the following pairs
a. 4 and 5
b.16 and 18
c.288 and 290
d. i dont know
and d is actually a answer i dont know why
Answers
NUMBER: 17 SQUARE: 289 SQUARE ROOT: 4.123
Hope this helps a little.
Answer:
a. 4 and 5
Step-by-step explanation:
We are given 17 squared, and are asked on whether which of it is between the following pairs.
Squaring a number always gives it a smaller number since you are trying to find a number times itself to make the number in the square root.
Therefore by this knowledge, a. would be the most reasonable answer, since 17 is quite a small number, squaring it will equal something smaller.
Is 2/5 and 8/20 equivalent
Answers
explanation:
8 divided by 4 equals 2 and 20 divided by 4 is 5
Answer:
Yes, they are.
Step-by-step explanation:
A used automobile dealership recently reduced the price of a used compact car by 10%. If the price of the car before discount was $18,100, find the discount and the new price. The discount in price is $nothing. Thus, the new price is $nothing.
Answers
Answer:
Step-by-step explanation:
Your answer
New price = 16290
Discount = 1810
Mark it as Brainlist. Follow me for more answer.
Twelve pounds of beans are distributed equally into 9 bags to give out at the food bank.
How many pounds of beans are in each bag?
Enter your answer in the simplest form.
There are pounds of beans in each bag.
Answers
Answer:
1.33 or 1 1/3 pounds
Step-by-step explanation:
12 ÷ 9 = 1.33
8) determine the value again pls
Answers
Answer:
4
Step-by-step explanation:
-48/2 ÷ (-6)
-24 ÷ (-6)
4
Solve for b.
3-2(b-2)=2-7b3−2(b−2)=2−7b
Answers
Step-by-step explanation:
3 - 2(b - 2) = 2 - 7b
To solve this first distribute -2 to (b - 2)
3 + (-2b + (-2) x -2) = 2 - 7b
when we simplify this it becomes:
3 + (-2b + 4) = 2 - 7b
We take (-2b + 4) out of the parenthesis:
3 - 2b + 4 = 2 - 7b
Now simplify again.
7 - 2b = 2 - 7b
Now send all the b's to one side and constants on the other.
7 - 2 = -7b +2b
5 = 5b
b = 1
If 9 garden hoses cost $196.83 and the price of each hose is the same how much does each hose cost?
Answers
Answer:21.87
Step-by-step explanation:
196.83 divided by 9
Answer:
They each cost $21.87
Step-by-step explanation:
If each hose costs the same you can just divide the total (196.83) by the number of hoses (9) to get 21.87.
What is the value of 6x90.6
Answers
Answer:
543.6
Step-by-step explanation:
answer is 543.6 :)
3. The point P(3,5) is rotated 90° clockwise
about the origin. What are the coordinates of
P'?
A. P'(-3,-5)
B. P’(5,-3)
C. P'(-5,3)
D. P'(5, 3)
Please :)
Answers
Answer:
New coordinates of P' are: P'(5, -3)
Hence, option B i.e. P'(5,-3) is correct.
Step-by-step explanation:
When a point A(x, y) is rotated 90° clockwise around the origin, we flip x and y and reverse the sign of x.
Thus,
The rule to rotate a point A(x, y) after a rotation 90° counterclockwise around the origin is:
A(x, y) → A'(y, -x)
In our case, the point P(3, 5) is rotated 90° clockwise about the origin. Thus, the coordinates of P' will be:
A(x, y) → A'(y, -x)
P(3, 5) → P'(5, -3)
Therefore, coordinates of P' are: P'(5, -3)
Hence, option B i.e. P'(5,-3) is correct.
JoAnn paid $3.80 for each book at a book sale.
How much did she spend if she bought 9 books?
Answers
Answer:
$34.20
Step-by-step explanation:
total spent =3.80*9=$34.20
The area of a square tile is 1.56 square feet. What is the area of a floor covered with 103 tiles?
Answers
The area of is 160.68
Answer:
168/169
Step-by-step explanation:
169 if you round 168.68 to 169
Mona has a bag containing 4 red marbles, 12 greens marbles, and 8 black marbles. Without looking, she pulls out one marble from the bag
and does not replace it. She then pulls a second marble from the bag. What is the probability that she will pull a red on the first pick and
red on the 2nd pick?
Answers
Answer:
1 / 46
Step-by-step explanation:
P(R, R) = [tex]\frac{4}{24}[/tex] · [tex]\frac{3}{23}[/tex] = [tex]\frac{1}{46}[/tex] (simplified form)
Multiply. (x-6)(x+4) with work.
Answers
X2+4x-6X-24
X2-2X-24
Answer:
(x+-6)(x+4)
(x)(x)+(x)(4)+(-6)(x)+(-6)(4)
x^2+4x-6x-24
Answer is x^2-2x-24
Step-by-step explanation:
(8x + 9) + (–6x – 1)
Answers
Answer:
5
Step-by-step explanation:
Simplifying
(8x + 9) + -1(6x + -1) = 0
Reorder the terms:
(9 + 8x) + -1(6x + -1) = 0
Remove parenthesis around (9 + 8x)
9 + 8x + -1(6x + -1) = 0
Reorder the terms:
9 + 8x + -1(-1 + 6x) = 0
9 + 8x + (-1 * -1 + 6x * -1) = 0
9 + 8x + (1 + -6x) = 0
Reorder the terms:
9 + 1 + 8x + -6x = 0
Combine like terms: 9 + 1 = 10
10 + 8x + -6x = 0
Combine like terms: 8x + -6x = 2x
10 + 2x = 0
Solving
10 + 2x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-10' to each side of the equation.
10 + -10 + 2x = 0 + -10
Combine like terms: 10 + -10 = 0
0 + 2x = 0 + -10
2x = 0 + -10
Combine like terms: 0 + -10 = -10
2x = -10
Divide each side by '2'.
x = -5
Simplifying
x = -5
made by TheRealMarinette
find the measure of angle A
Answers
Answer:
35 degrees
Step-by-step explanation:
Sum of angles inside a triangle is 180 degrees.
Right angle is 90 degrees.
180 = 90 + (x + 46) + (x + 66) = 2x + 202
x = -11
A = x + 46 = -11 + 46 = 35
Stacy reasons that since dilations change lengths they also change angles by the same factor. Is she correct? If not, explain why, I will list brainlist if you reply fast
Answers
Answer:
Stacy is incorrect. Dilations do not affect the angles of a given figure since dilations create parallel lines and the angles on parallel lines are congruent.
Step-by-step explanation:
just took the quiz :)
Luciana is adding water to a pool at a constant rate. Before she added any water, the pool had $12,000$ gallons of water. Luciana is adding $9$ gallons of water each minute.
Which equation represents the total number of gallons of water in the pool, $w$ , after Luciana adds water for $m$ number of minutes?
Answers
Answer:
T(m) = 12,000 gallons + (9 gallons/ minute)m
Step-by-step explanation:
This is a linear function with beginning value 12,000 gallons and unit rate of increase 9 gallons/minute:
T(m) = 12,000 gallons + (9 gallons/ minute)m
PS: Please don't use " $ " to set off numbers. Not needed!
Can someone please answer this please
Answers
E) (-5,0)
F) (-2,2)
I need help with math if you don't know the answer get out of the question and don't answer it and give the wrong answer or some link or even say "I don't know" or anything like that it's not fair to me cause it a waste of my points I will report your if you do that :) have a nice day and stay safe
Answers
Answer:
the answer is 5 3/8
Step-by-step explanation:
the common denoiminator of 4 and 8 is 8 so you multiply 3 by 2 like you did 4 to get 8 and you multiply 5 by 1 like you did 5 to get 5 and you add it all together
Find the total surface area of the rectangular pyramid.
7 ft
t
6 ft
0 120 12
O 168 112
8412
O 204?

Answers
Answer:
I can't really understand the wording but..
Step-by-step explanation
The formula for surface area of a rectangular prism is A=2(wl+hl+hw)
so yeah enjoy freedom for the rest of the day
15. Asriel thinks he has room for a 50 inch TV in his living room. It turns out
he only has room for a 40 inch TV. What is his percent error? *
10%
25%
20%
30%
Answers
Answer: 10%
Step-by-step explanation: because if you subtract 50-40 you get 10 and then you just add the % sign and you can cross out d and b.
hope this helps you
Answer:
20%
Step-by-step explanation:
Since, 40/50 is equal to 80/100 we can tell that the 2 are 80% close to eachother, but there is 20% difference!
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
How do you write 927,000 in scientific form