Step-by-step explanation:
Two angles are called suplementary when their measures add to 180 degrees.
D+F= 180
3x+5+2x= 180
5x+5=180
5x= 175
x= 35°
angle D = 3x+5= 3(35)+5= 110°
marilyns teacher slowed her to take a makeup test she scored 24/60 on the original test and 28/40 on the makeup test by what percentage did marilyn improve her score
help me please i am i need of assistance
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____________________
Mr. Nicholson accepts a job that pays an annual salary of $60,000. In his employment contract, he is given the option of choosing a) an annual raise of $3,500 or b) an annual raise of 5% of his current salary.
Suppose Mr. Nicholson plans on working for his new employer for at least 9 years. Use each of the recursive models to determine Mr. Nicholson’s potential annual salary as a nine-year veteran with the company. In your final answer, include all of the necessary calculations.
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
Branliest to the smart people i’m stvpid
When an inclined plane is used,
the mechanical advantage increases as the height increases.
a greater force is exerted over a shorter distance.
a negative mechanical advantage can result.
a smaller force is exerted over a longer distance.
Answer:
the mechanical advantage increases as the height increases.
Step-by-step explanation:
25PTS!!! Find any of the blanks please hurry! Will give brainliest
Answer:
C:1,800
B:90
Step-by-step explanation:
3) The labor charge at Angie's repair shop is $60 an hour. Tony charges $ 25
for half an hour of work. Which shop charges less? Show how you know.
I
Answer:
Tony's shop charges less.
Step-by-step explanation:
Angie charges $60 an hour or $30 for a half hour.
Tony charges $25 for a half hour.
25 is less than 30
What is the greatest common factor of 36 and 42?
Answer:
Answer is 6.
Step-by-step explanation:
What is the Greatest Common Factor of 36 and 42? Greatest common factor (GCF) of 36 and 42 is 6. We will now calculate the prime factors of 36 and 42, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36 and 42.
I hope it's helpful!
May someone answer these 4 questions for me? Find the area
URGENT !!!!!!!!! Please answer correctly !!!!! Will be marking Brianliest !!!!!!!!!!!!!!!
Answer:
1/3
Step-by-step explanation:
1 rise
3 run
Someone help and plz make sure it’s right
Answer:
a=40° hope I helped:)....
help if you can please
Answer:
a. iii
b. ii
c. i
d. v.
e. iv
Step by Step:
Which expression is equivalent to 9c + 12d + 2c
A. 18c + 12d
B. 11c + 12d
C. 11c exponent 2 + 12d
D. 23cd
Answer:
B. 11c + 12d
Step-by-step explanation:
Given
9c + 12d + 2c
Combine the like terms
= 11c + 12d
Hope it will help :)
PLEASE ANSWER MEEEEEE PLEASEEEE
Answer:
77/36 = 2.14 (rounded)
Step-by-step explanation:
how many questions left??
XD Hope it helps
the quotient of 14 and z
Answer:
dont know sorry
Step-by-step explanation:
sorry :(
Can somebody help me. Will Mark brainliest.
Revenue control systems can help protect guests, employees, and revenues from the point of taking a guest's order to:
A) checking the guest out
B) locking the safe at night
C) making a bank deposit
D) closing out a shift
Answer:
i think is A
Step-by-step explanation:
because need to check first
Here are two similar solid toys. The ratio of surface area of toys R: surface area of toy B is 7:9. The volume of toy B is 20cm^3. Work out the volume of toy A. Give your answer to 3 significant figures 
Answer:
13.7
Step-by-step explanation:
The computation of the volume of toy A is shown below:
7 × k^2=9
k^2= 9 ÷ 7
k=√9 ÷ 7
k = 1.133893419
Now
= 20 ÷ 1.133893419³
=13.7
96:120 simply To the least
Answer:
4:5
Step-by-step explanation:
96:120
simplified:
divide both sides of colon by 24:
4:5
True or false 81^3/2 =9
Answer:
lets solve it.
Taking LHS:
81^3/2=(81*81*81)/2
531,441/2
265,720.5
Now comparing RHS and LHS
265,720.5 & 9
and they are not equal, thus false.
The price of the shirt is 40$ the sales tax is 8%
how much will he pay in taxes for the shirt
A. 8.00
B. 3.20
C.48.00
D. 5.20
Answer:
40*.08=3.2
$3.2
Answer:
B
Step-by-step explanation:
40 times 0.08%= 3.20
Find the image of (1, 2) after a
reflection about y = -1 followed by a
reflection about y = 1.
Is This a Linear Function?explain
can i get a brainless pizza
Answer:
only if i can getty brainliyest pizza
Step-by-step explanation:
Give me some answers on financial maths pls ill braiblist u !
Answer:
Mathematical finance, also known as quantitative finance and financial mathematics, is a field of applied mathematics, concerned with mathematical modeling of financial markets.
Step-by-step explanation:
please mark me brainliest
Answer:
the most common questions, ask form financial maths is simple interest applications , profile & loss, etc
Which equation, when solved, results in a different value of x than the other three?
A lorry drives for 4 hours at a speed of 45 mph. Calculate how far it travles
Answer:
180 miles
Step-by-step explanation:
Distance = speed x time
45 x 4 =180miles
The maximum value of a data set consisting of 25
positive integers is 84. A new data set consisting of 26
positive integers is created by including 96 in the
original data set. Which of the following measures
must be 12 greater for the new data set than for the
original data set?
A) the mean
B)the median
C)the range
D)the standard deviation
The new data set's range must be greater than the original data set's range. which is the correct answer would be an option (C).
What is the range of the data?The range of the data is defined as the difference between the maximum value of data and the minimum value of the data.
Let m be the smallest value in the original data collection.
Given that the original data set's range = 84 -m
A new data set is made up of 26 positive integers and 96 from the existing data set.
As a result, the new data set's range is 96-m.
We can now determine the difference between two ranges by subtracting them :
⇒ (96 - m) - (84 - m)
⇒ 96 - m - 84 + m
⇒ 12
As a result, the new data set's range must be greater than the original data set's range.
Hence, the correct answer would be an option (C).
To learn more about the range of the data click here:
https://brainly.com/question/20607770
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If you have 24 dozen Shamrock cookies horseshoe cookies mint cupcakes and you sold four times as many cupcakes as cookies and three times as many cookies as Shamrock cookies how many mint chocolate chip cupcakes did they sell
Answer:
144
Step-by-step explanation:
108 plus 36 then you will get 144
They sold a total of 18 dozens of mint chocolate chip cupcakes.
What is an equation?An equation is an expression used to show the relationship between two or more numbers and variables.
Let x represent the number of shamrock shaped cookies, y represent horseshoe shaped cookies and z represent mint chocolate cupcakes.
He sold a total of 24 dozens, hence:
x + y + z = 24 (1)
The sold 4 time shamrock shaped cookies as cupcakes, hence:
z = 4x (2)
Also, they sold three times as many cookies as Shamrock cookies:
x = 3y (3)
From the equations:
x = 4.5, y = 1.5 and z = 18
They sold a total of 18 dozens of chocolate chip cupcakes.
Find out more on equation at: https://brainly.com/question/2972832
7 1/2 divied by 1 1/2
Answer:
.652173913
Step-by-step explanation: