Answer:
Step-by-step explanation:1. Arithmetic: Add 3,500
The annual raise of 3,500 means add 3,500 to the previous year's salary
60,000 + 3,500 = 63,500
63,500 + 3,500 = 67,000
67,000 + 3,500 = 70,500
70,500 + 3,500 = 74,000
74,000 + 3,500 = 77,500
Geometric: Multiply by 1.05
The annual raise by 5% of his current salary means multiply by 1.05.
60,000 x 1.05 = 63,000
63,000 x 1.05 = 66,150
66,150 x 1.05 = 69,457.50
69,457.50 x 1.05 = 72,930.38 rounded
72,930.375 x 1.05 = 76,576.89
The first sequence is arithmetic because we add the same number (3,500) to the preceding term. The second sequence is geometric because we multiply the preceding term by the same number always (1.05.)
2a. Arithmetic - New salary is $3,500 greater each year than last year's salary
S = 60,000 + 3500(n-1)
Geometric - New salary is 5% more each year than last year's salary
60,000 + (1.05)^(n-1)
2b. Arithmetic Earnings over 3 years
60,000 + 63,500 + 67,000 = 190,500
Geometric Earnings over 3 years
60,000 + 63,000 + 66,150 = 189,150
There is a 1,000 dollar difference. In this case, the arithmetic increase of 3,500 dollars would be better for Mr. Nicholson. 1,000 dollars may or may not be considered a big difference. In my opinion, I'd say there is a slight difference between the two
3.Arithmetic
a(9) = 3,500 + a(9-1)
a(9) = 3,500 + 89,000
a(9) = 92,500
Geometric
a(9) = 1.05 x a(9-1)
a(9) = 1.05 x 84,425.90
a(9) = 88,647.20
4. In this case, both the 3 year and 9 year time frames favor the arithmetic increase of $3,500. At 3 years, he would have 190,500 compared to the geometric salary of 189,150. However, this is a small difference. If he is going to be at the company for 9 years, then definitely he should choose the first opportunity. 92,500 is significantly more money than 88,647.20. So, longer time frames only make the first opportunity, which is better to begin with, shine even more.
I'm always happy to help :)
Answer:
he is not a wealthy man
Step-by-step explanation:
because he got money
These numbers are common multiples of ________.
6, 12, 18, 36
A) 2 and 4
B) 2 and 3
C) 3 and 4
D) 4 and 6
From this list, we can see that all the numbers are multiples of 2 and 3. So, the correct answer is option B) 2 and 3.
What are common multiples?
Common multiples are multiples that two or more numbers have in common. In other words, common multiples are numbers that are multiples of two or more given numbers.
To find the common multiples of 6, 12, 18, and 36, we can start by finding the prime factorization of each number:
6 = 2 x 3
12 = [tex]2^2[/tex] x 3
18 = 2 x [tex]3^2[/tex]
36 = [tex]2^2[/tex] x [tex]3^2[/tex]
To find the common multiples, we need to list the multiples of the largest number, which is 36, and check which ones are also multiples of the other numbers:
Multiples of 36: 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, 396, ...
Therefore, From this list, we can see that all the numbers are multiples of 2 and 3. So, the correct answer is option B) 2 and 3.
To learn more about Common multiples from given link.
https://brainly.com/question/30060162
#SPJ1
a group of students are booked to go on a sports tour. The total cost of theA tour is $18000. write an expression in x for the amount that each learner must pay
Answer:
x+y=18000
Step-by-step explanation:
x= ammount of students
y= number of days or places going to
helllllllllllllllppppppppppppp WILL MARKBRIANLIST
Answer:
4(25) + 6(-5) -2 = 100 - 30 -2 = 70 - 2= 68
Find the measure for angle A.
A. 75
B. 60
C. 30
D. 38
Please help me I don't knoe
Answer:
x = sqrt(147)
Step-by-step explanation:
This is a right triangle, so we can use the Pythagorean theorem.
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse.
x^2 +7^2 = 14^2
x^2 +49 = 196
Subtract 49 from each side
x^2 = 147
Take the square root of each side
sqrt(x^2) = sqrt(147)
x = sqrt(147)
Answer:
[tex]7\sqrt{3}[/tex] or 12.12
Step-by-step explanation:
The pythagorean theorem states that a^2 + b^2 = c^2, with a and b representing the legs and c representing the hypotenuse.
7^2 + x^2 = 14^2
49 + x^2 = 196
x^2 = 147
x = [tex]7\sqrt{3}[/tex] or 12.12
NEED ASAP!!!
Find the area of the composite figure.
Answer:200 I think
Step-by-step explanation:
A spinner with sections Red, Blue, Yellow, and Green is spun 3 times. What is the
probability that it will land on yellow all 3 times?
Answer:
33.3%
Step-by-step explanation:
100 divided by 3 is 33.3
PLZ HELP ILL MARK U BRAINLIEST!!
Answer:
Step-by-step explanation:
The two horizontal line segments are the parallel sides of the trapezoid.
∠1 and ∠2 are corresponding angles of a transversal across parallel lines, so
∠1 is congruent with ∠2
-2 (x - 3) + 6 = - (x + 5)
Solve for x and SHOW WORK please :)
Answer:
x=17
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
-2x+6+6=-x-5
-2x+x=-5-6-6
-x=-17
x=17
Explain why the relation represented by each equation is or is not linear.
a. y=2+3x
b. y=2x(x - 5) - 2x2
C. y=4x2
d. y= 500
Please help T-T
Answer:
A, b, c, y are linear becouse every value of domain has one value in range
Step-by-step explanation:
If you need any explanation in it or anything on math you can communicate with me on Whats on this number +201557831028 or in email or face or anything
Misty surveyed 200 students and asked their favorite type of music. The results showed that 18 students picked rock music as their favorite. What percentage of students in
survey picked rock music as their favorite type of music?
Answer
A. 0.09%
B.996
С.90%
D.1896
Answer:the third one
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
In a circle, if you connect the edge of diameter and a point on the circumference, it forms a right triangle.
Is the above statement always true? sometimes true? or always false? Show your answer and support it by reasoning. (can use a picture)
Answer:
always true
Step-by-step explanation:
HOW MANY solutions does this equation have?
d2=0
Which angle marker refers to APD?*
E
D
Р
B
O
1 - Orange
2 - Green
3- Blue
Ο Ο
4 - Purple
O
None
Answer: None
Step-by-step explanation:
angle APD would suggest that P is the vertex (where the rays of the angle originate) and A and D would be the rays that extend outward from the vertex forming an angle. This angle is not marked on the diagram.
A group of students stood in a circle to play a game. The circle had a diameter of 15 meters. Which measurement is closest to the circumference of the circle in meters?
Answer: 47cm
Step-by-step explanation:
Thw circumference of a circle is given as: = 2πr or πd
where
π = 3.142
d = diameter = 15 meters
Circumference = πd = 3.142 × 15
= 47.13 cm
= 47cm
the cost of 5 cans of dog food is 4.35. how much do 11 cans of dog food cost
É só vc ir somando até 11.
Ou multiplicar por 11.
4,35x11
Espero ter ajudado!
There is 3 4 of an apple pie left from dinner. Tomorrow, Victor plans to eat 1 4 of the pie that was left. Enter how much of the whole pie he will eat tomorrow.
Answer:
3/16
Step-by-step explanation:
Let the size of the whole apple be T
Given that 3/4 of the apple is left, it means the size left
= 3T/4
Since Victor plans to eat 1/4 of the pie that was left, this amounts to
1/4 * 3T/4
= 3T/16
This means that Victor will eat 3/16 of the whole pie tomorrow
What is the y coordinate?
Answer:
2
Step-by-step explanation:
I ned to no what es 5 + 6 for my kindergardin
Answer:
11
Step-by-step explanation:
5+6=11
Have a great day!!!
If cosθ = 8/17 then find tanθ . *
1 point
8/15
15/17
17/15
15/8
Answer:
15/8
Hope it helps
Please mark me as the brainliest
Thank you
If a ball has a rebound ratio of 0, what does that mean?
Answer: The test is conducted with an electromagnetic or vacuum release mechanism which releases a soccer ball from a height of 2 meters. From that the height of the rebound is measured by recording the sound of the first and second bounce. The time between the first and second bounce is measured. Also During a collision, some of the ball's energy is converted into heat. As no energy is added to the ball, the ball bounces back with less kinetic energy and cannot reach quite the same height. ... It reaches way higher than from the height it was released.
Hope this helps have a awesome day/night❤️✨Step-by-step explanation:
Anybody know this......
Step-by-step explanation:
21.P
22.Q
23.P
24.S
25.Q
26.R
27.N
28.N
you pretty much have too find the other letter that finishes the shape.
so #21 it would be P because it is for the bottom shape/base shape. and you already have M,N and O so the last one you need too finish the shape is P. and the same concept for the other awnsers
Hope this isn't too complicated and helps u out!
Brainlest??
The residence of a city voted on whether to raise property taxes the ratio of yes votes to no votes was 7 to 4 if there were 3672 no votes what was the total number of votes
Answer: 10,098 votes
Step-by-step explanation:
The ratio is 7 : 4 which means that for every 7 yes votes, there were 4 no votes.
To find the total votes, add the ratios:
= 7 + 4
= 11
4/11 are the no votes out of the total. Assuming the total is x, the formula is:
4/11x = 3,672
x = 3,672 / 4/11
x = 10,098 votes
What is the slope of a vertical line?
What is the slope of a horizontal line?
Answer:
The slope of a vertical line is undefined. The slope of a horizontal line is 0
Step-by-step explanation:
Slope is rise/run
and the rise of a horizontal line is zero since it neither increases nor decreases; therefore, the slope is zero. while a vertical line has undefined slope since it does not run horizontally because division by zero is an undefined operation.
What values of x and y satisfy the system of equations shown below?
3x − 2y = 13 9x − 4y = 35
(3,2)
(2,3)
(3,−2)
(−2,3)
Plz help with this, it's only for 10 points, Don't give me the wrong answer and steal my points or i will report!
Answer:
the correct values are ( 3, -2)
Answer:
(3,-2)
Step-by-step explanation:
x=13/3+2/3y
9x-4y=35
9(13/3+2/3y)-4y=35
y=-2
x=13/3+2/3×(-2)
x=3
find x:
[tex] {9}^{2x + 1 = {81}^{3x + 1} [/tex]
Answer:
[tex] x = - \frac{1}{4} [/tex]
Step-by-step explanation:
[tex]{9}^{2x + 1} = {81}^{3x + 1} \\ \\{3}^{2(2x + 1)} = {3}^{4(3x + 1)} \\ \\ {3}^{4x + 2} = {3}^{12x + 4} \\ bases \: are \: equal \: so \: exponents \: \\ will \: also \: be \: equal\\ \\ 4x + 2 = 12x + 4 \\ \\ 2 - 4 = 12x - 4x \\ \\ - 2 = 8x \\ \\ x = - \frac{2}{8}\\ \\ x = - \frac{1}{4} [/tex]
HELP DUE IN 10 MINS! Find the missing side measurement.
Your answer should be a simplified radical or a whole number. (no decimals allowed)
x =??
Answer:
22
Step-by-step explanation:
Answer:
x= 3[tex]\sqrt{7}[/tex]
Step-by-step explanation:
x=[tex]\sqrt{(12^2-9^2)}[/tex]
PLEASE HELP IM BEGING
Answer:
504 cm squared
Step-by-step explanation:
14 * 14 = 196
14 / 2 = 7
7 * 11 = 77
77 * 4 = 308
308 + 196 = 504
504
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
PLEASE HELP ASAP! DO IN 5 MINUTES! WILL MARK BRAINLIEST!
Answer:
15
Step-by-step explanation:
Given
Hypotenuse (h) = 17 cm
perpendicular (p) = 8 cm
base (b) = ?
we know by using Pythagoras theorem
b = √h² - p²
= √ 17² - 8²
= √ 225
= 15 cm
or
YZ = 15 cm
Hope it will help :)❤
Please help me please omggg