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
A salesperson works 40 hours per week at a job where has two options for being paid. Option A is an hourly wage of $20. Option B is a commission rate of 10% on weekly sales. How much does need to sell this week to earn the same amount with the two options?
Please help..
Answer:
$8,000
Step-by-step explanation:
40x20= .1s
8000=s
First option, the salesperson will earn 40*20=800 dollars.
For second option, the person will earn the amount he sells/10.
For them to be equal the second salesperson have to sell 800*10=8000 dollars of items to earn that as much money as the first salesperson.
Find the missing angle measures?
Answer:
x)45
y)45
z)135
Step-by-step explanation:
There are about 16 kilometres in 10 miles About how many kilometres are in 5 miles?
A: 3 kilometres
B: 8 kilometres
C: 32 kilometres
D: 80 kilometres?
Answer:
167
Step-by-step explanation:
89-g8+16
Determine the coordinates of the y-intercept of 3x − 4y = 24.
Answer:
(0, -6)
Step-by-step explanation:
At the y-intercept, the x-coordinate equals zero.
3x - 4y = 24
3(0) - 4y = 24
-4y = 24
y = -6
Answer: (0, -6)
Calculate the rise and run between any two coordinates to find the slope of each line ...
For the first one its a slope of -2/3
The second one is 4/5
and the third one is -1/7
WILL GIVE BRAINLIEST FASTTTTT
Factor x^2−4x+4
(x−4)^2
(x+2)^2
(x+4)^2
(x−2)^2
Answer: (x−2)(x−2)
The middle number is -4 and the last number is 4.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get -4
Multiply together to get 4
Can you think of the two numbers?
Try -2 and -2:
-2+-2 = -4
-2*-2 = 4
Fill in the blanks in
(x+_)(x+_)
with -2 and -2 to get...
(x-2)(x-2)
Answer:
(x−2)(x−2)
so the answer is D.
If the perimeter of square X is triple that of square Y, then the are of X is how many times the area of Y?
Answer:3 more than y i think srry if im wrong
Step-by-step explanation:
9 times a number is the sum of the number and 56.
Translate the statement to equations
Answer:
9x = x + 56
Step-by-step explanation:
Find angles A, B, C, D, & E.
Answer:
Step-by-step explanation:
B = 35 {Alternate interior angles}
C = 75 {Corresponding angles}
D + 75 = 180 {Linear pair}
D = 180 - 75
D = 105
A = C {Corresponding angles}
A = 75
E = A {Alternate interior angles}
E = 75
What is the greatest factor of 48x²and 32x³
Answer:
Step-by-step explanation:
Write the prime factors making up the two expressions
48x^2: 2 * 2 * 2 * 2 * 3 * x * x
32x^3: 2 * 2 * 2 * 2 * 2 * x * x * x
Underline what is common to both
The highest common factor is 2 * 2 * 2 * 2 * x * x
The highest common factor is 16x^2
This may look very simplistic, but try a question like this
5397691 and 3271021
The method I've shown you is likely the only way you could factor these two monsters and they are relatively small numbers.
answerr to 4p+7p+3+7p+3
Answer:
18p+6
Step-by-step explanation:
Put the following equation of a line into slope-intercept form, simplifying all fractions. y - 3x = -1
Answer:
y=3x-1
Step-by-step explanation:
y-3x=-1
y-3x+3x=-1+3x
y=3x-1
Answer:
y=3x-1
Step-by-step explanation:
y-3x=-1
y=3x+(-1)
y=3x-1
6+1/5x=11.. Solve for x... Help?
Answer:
x = 25
Step-by-step explanation:
1/5x = 11 - 6
1/5x = 5
x = 5 / (1/5)
x = 5 x 5
x = 25
Hope that helps!
Answer: x=25
Step-by-step explanation:
You purchase 5 pounds of apples and 2 pounds of oranges for $9. Your friends purchases 5 pounds of apples and 6 pounds of oranges for $17. What is the price per pound for each fruit?
Answer:
One pound of apple = $1
One pound of Orange = $2
Step-by-step explanation:
Plz mark brainliest thanks
Answer:
Apples $1
oranges $2
Step-by-step explanation:
Re-write the expression in the rational exponent form
Answer:
[tex]11^{\frac{1}{2} }[/tex]
Step-by-step explanation:
The rational exponent form is as the pictures show. (The first one just shows random examples).
Hope it helps!
Find the value of x so that the function has the given value.
9(x) = x-9; g(x) = 3
Answer:
-15
Step-by-step explanation:
Please help I'm in hurry
Answer:
its twenty five
Step-by-step explanation:
25
For brainiest:):):):):):)):)
Answer:
Step-by-step explanation:
1st one is 28.27 cm and 2nd one is 22 in.
Hope i helped.
if xsqured +y squred =16, xy=10 find the value of x+y using bionomial expansion
Answer:
x+y=6Step-by-step explanation:
to understand thisyou need to know about:algebraPEMDAStips and formulas:x²+y²=(x+y)²-2xylet's solve:according to the question:
(x+y)²-2xy=16substitute the value of xy:(x+y)²-2.10=16simplify multiplication:(x+y)²-20=16add 20 to both sides:(x+y)²-20+20=16+20=>(x+y)²=36[tex] \sf squre \: root \: both \: sides : \\ \sqrt{ (x + y {)}^{2}} = \sqrt{36} \\ \therefore x + y = 6[/tex]The three squares below join together to form a right triangle. The area and the perimeter for two of the squares is shown. Find the side length of the largest square.
Answer:
YES
Step-by-step explanation:
by dividing perimeter by 4, we
get the side lengths of 12, 35 and 37.
122 + 352 = 372.
The side length of the largest square is 15 inches.
From the given figure, area of one of the square is 81 square inches and the perimeter of another square is 48 inches.
What is the perimeter?The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.
We know that, the area of a square = a²
Here, a²=81 square inches
⇒ a=9 inches
The perimeter of square = 4s
⇒ 4s=48
⇒ s = 12 inches
In the given figure, let the hypotenuse of triangle be x
Using Pythagoras theorem, we get
Now, x²=a²+s²
⇒ x²=9²+12²
= 81+144
= 225
So, x=15 inches
Therefore, the side length of the largest square is 15 inches.
To learn more about the perimeter visit:
https://brainly.com/question/6465134.
#SPJ5
plz help i will give brainliest
Answer:
1. [tex]y=\frac{2}{3}x-2[/tex]
2. [tex]y=\frac{-5}{4}x+5[/tex]
Step-by-step explanation:
all you are doing is solving for "y"
Answer:
ans 1. -2x = -6-3y
-2x = 9y
xy = -2/9
ans 2. 5x = 20 - 4y
5x = 16y
xy = 5/16
I hope it helps....
5.Regarding the equations below. What is the value of x?
5x + 2y = 4
x – 3y = –23
Answer:
x=−2
y=7
Step-by-step explanation:
5x+2y=4
x−3y=−23
In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.
5x+2y=4,x−3y=−23
To make 5x and x equal, multiply all terms on each side of the first equation by 1 and all terms on each side of the second by 5.
5x+2y=4,5x+5(−3)y=5(−23)
Simplify.
5x+2y=4,5x−15y=−115
Subtract 5x−15y=−115 from 5x+2y=4 by subtracting like terms on each side of the equal sign.
5x−5x+2y+15y=4+115
Add 5x to −5x. Terms 5x and −5x cancel out, leaving an equation with only one variable that can be solved.
2y+15y=4+115
Add 2y to 15y.
17y=4+115
Add 4 to 115.
17y=119
Divide both sides by 17.
y=7
Substitute 7 for y in x−3y=−23. Because the resulting equation contains only one variable, you can solve for x directly.
x−3×7=−23
Multiply −3 times 7.
x−21=−23
Add 21 to both sides of the equation.
x=−2
The system is now solved.
x=−2,y=7
Graph if needed:
11/6=n+7/9 what does n equal
Answer:
n = 19/18
Step-by-step explanation:
11/6 = n + 7/9
-n + 11/6 = 7/9
-n = 7/9 - 11/6
-n = -19/18
n = 19/18
Answer:
n = 19/18
Step-by-step explanation:
The equation 11/6=n+7/9 has fractions with two different denominators (6 and 9). The LCD is 18, which is the smallest number evenly divisible by 6 and 9. Thus, we can rewrite 11/6=n+7/9 as:
33/18 = (18/18)n + 14/18 (Now all three denominators are the same: 18)
Then 33 = 18n + 14, or
19 = 18n
Dividing both sides by 18, we get n = 19/18
Check: Is 11/6 = 19/18 + 7/9 true? YES
What is the product of the complex numbers below?
(2 - 3i)(1 + 7i)
A)-19+11i
B) 23-17i
C) -19-17i
D) 23+11i
Answer:
23+11i
Step-by-step explanation:
took the test :)
please help me!!!!! asap
A is correct.
5^2=25
2^3=8
3^2=9
25+8x9
A square has a side length of 6 centimeters. What is the perimeter of the square?
Answer:
Perimeter of square = 4 x side length
4 x 6 = 24cm^2
Answer:
It’s 24
Step-by-step explanation:
6*4=24
It’s that simple
Make me brainliest pls
The lunch choices last Friday were mushroom or pepperoni pizza. The cafeteria made 10
pizzas in all, 4 of which were mushroom pizzas. What percentage of the pizzas were
mushroom pizzas?
Answer:
40%
Step-by-step explanation:
4/10=.40
.40=40% as a percentage
1. Casey is filling a box with unit cubes. She can place 3 along the width, and 4 along the length. She can also stack 6 on top of each other inside the box. How many unit cubes can fit inside the box?
Answer:
72 units^3
Step-by-step explanation:
Finding the volume of a cube is as simple as length × width × height
3 × 4 × 6
72 units^3
(1,-2)(5,4) find the mid point
Answer:
Step-by-step explanation:
Given points A ( 1 , - 2) and B ( 5 , 4)
Mid point of AB is
= ( ( x1 +x2)/ 2 , ( y1+ y2)/ 2 )
= ( ( 1 + 5)/2 , ( - 2 + 4)/2 )
= ( 3 , 1 )
hope it helps :)
Addison earns a fixed hourly rate working as a sales clerk. If she works on a holiday, she earns a different hourly rate than she earns on a regular day. In one week, she earns $188.50 by working 5 hours on a holiday and 16 hours during regular days. A different week, she earns $254.00 by working 8 hours on a holiday and 20 hours during regular days.
Answer:
10.50
Step-by-step explanation: