Answer:
1/2 or 50%
Step-by-step explanation:
There is 2 sides of a coin, heads and tails, therefore, they have equal probability.
You wish to purchase a new car, and can afford monthly repayments of up to $150 per month. You see a car you like for $6,000, and are offered financing to secure the purchase. The terms of the deal are that the loan lasts for 5 years, and the annual interest rate is 15.9%. Can you afford to purchase the car on finance?
The monthly repayment of $145.59 is less than expected monthly payment of $150, hence, the individual can afford tp purchase the car on finance
How do we determine affordability in this case?
In order to determine whether the individual can afford to purchase the car on finance, we need to ascertain the monthly payment of the loan based on the terms of deal provided which would be compared to the expected monthly repayment of $150 using a financial calculator as below:
N=60(number of monthly payments in years=5*12)
I/Y=15.9/12(monthly interest rate without the % sign)
PV=-6000(loan principal)
FV=0(after 60 monthly payments, the balance would be nil)
CPT(press compute)
PMT=$145.59
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Evaluate 8-m/n+p2 when m=8, n=2p =7
53.
We have been given that
equation is 8-m/n+p²
where
m= 8;
n= 2;
and p= 7;
Substitution property - If a variable is equal to a specified amount, that amount can be directly substituted into an equation for the given variable.
By using substitution property in equation
8-m/n+p²
8- 8/4+7²
Square of 7 is 7×7 =49
8-8/4+49
after applying BODMAS rule
BODMAS rule is an acronym that is used to remember the order of operations to be followed while solving expressions in mathematics.
8-2+49
=53
Hence, the correct value of the given expression when m=8 n=2 p=7 is 53.
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write a paragraph about what the Hawthorne Studies tells us about workers and what happens when they are being observed and why that is important
Answer:
is important because yo understand more with paragraph
Step-by-step explanation:
A friend has a 79%
average before the final exam for a course. That score includes everything but
the final, which counts for 25% of the course grade.
What is the best course grade your friend can earn?
What is the minimum score would your friend would need on the final to earn a 75% for the course?
%
Give answers accurate to at least one decimal place.
Answer:
best course grade: 84.25%least final grade: 63%Step-by-step explanation:
You have a course average of 79% that is 75% of your grade, and you want to know ...
the least final score for a course average of 75%the best possible course average.Weighted averageThe course average is computed as the weighed average of the course grade so far and the final grade. The weighs are 75% and 25%, respectively. In formula form, the relation between the final grade (f) and the course average (c) is ...
0.75(79) + 0.25f = c
Solving for f, we have ...
f = 4(c -59.25) = 4c -237
a) Best course gradeAssuming the best final grade is 100, the best course grade is ...
c = 0.25(100) +59.25 = 25 +59.25 = 84.25
The best course grade is 84.25%.
b) Least final gradeFor a course grade of 75%, the least final grade necessary is ...
f = 4(75) -237 = 300 -237 = 63
The minimum score on the final for a 75% for the course is 63%.
__
Additional comment
Here we have percentages with two different bases. The course grade percentages have a base of the greatest possible number of credits. The weight percentages have a base of the whole course grade. Working with percentages of percentages can be confusing if the base of the percentage is not clear.
We often find it easier to deal with grades expressed as a number 0 to 100, rather than as a percentage. That is what we have done here (except in the final answers). The final answer expresses the course grade as a percentage so as to be consistent with the problem statement.
I GIVE BRAINLILSET
\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\
Answer:
(C) $1.5
Step-by-step explanation:
Profit Percent * Cost Price = Profit
20% * $1.25 =
20/100 = .2 * $1.25 =
$.25
Selling Price = Profit + Cost Price
$.25 + $1.25 = $1.5
Mario earned a raise that increased his hourly pay rate from $8 to $10. What was the
percent increase in his hourly pay?
part (difference or change)
%
whole (original amount)
100
O 20%
O 25%
O56%
O 80%
Answer:
25%
Step-by-step explanation:
You notice 8 to 10 is 2. So take 2 divided by 8 to find the percent and add 8 to see if it makes 10.
4x+3=8x-9 what does x equal
Answer:
x=75/4
Step-by-step explanation:
4x+3=8x-9
4x+3= -72
4x= -72-3
4x= -75
x=75/4
Choose True or False for each equation for x = 6.
6x = 12
5 + x = 11
x ÷ 2 = 3
17 – x = 11
Answer:
false true true true
Step-by-step explanation:
The equation for x = 6 is true and would be equal to 6x = 12. and the rest are false.
What does it mean to solve an equation?An equation represents the equality of two or more mathematical expressions. When someone asks you to solve an equation, then they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold for those values). Solutions to an equation are those values of the variables involved in that equation for which the equation is true.
The given equations are;
6x = 12
Substitute x = 6 to check whether the solution satisfies the equation;
6(6) = 36
Thus, it is False.
5 + x = 11
Substitute x = 6 to check whether the solution satisfies the equation;
5 + x = 11
5+ 6 = 11
Thus, it is True.
x ÷ 2 = 3
Substitute x = 6 to check whether the solution satisfies the equation;
6/2 = 3
Thus, it is True.
17 – x = 11
Substitute x = 6 to check whether the solution satisfies the equation;
17 - 6 = 11
Thus, it is True.
Hence, the equation for x = 6 is true and would be equal to 6x = 12. and the rest are false.
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Flight times An airline flies the same route at the
same time each day. The flight time varies according
to a Normal distribution with unknown mean and
standard deviation. On 15% of days, the flight takes
more than an hour. On 3% of days, the flight lasts
75 minutes or more. Use this information to deter-
mine the mean and standard deviation of the flight
time distribution.
Answer:
Mean = 41.588
Standard Deviation = 17.765
Step-by-step explanation:
60 - N/D = 1.03643
75 - M/D
75 - (60 - 1.03643D)/D = 1.88079
15 + 1.03643D = 1.88079D
15 = 0.84436D
17.765 = D
D = 17.765
-----------------------------------
60 - M = 1.03643D
60 - 1.03643D = M
M = 60 - 1.03643(17.765)
M = 41.588
What theorem can be used to show that ABC ≅ DEF?
A. AAS Triangle Congruence Theorem
B. SSS Triangle Congruence Theorem
C. ASA Triangle Congruence Theorem
D. HL Triangle Congruence Theorem
Answer:
B
Step-by-step explanation:
how many solutions does the system have 6x+3y=-12 y=-2x+4
Answer: No solutions
Step-by-step explanation: These equations, when done by substitution, end up not equaling each other.
A sequence is shown in the graph.
points at 1 comma 48, 2 comma 12, 3 comma 3, and 4 comma 75 hundredths
Assuming the pattern continues, what is the formula for the nth term?
an = 48(4n)
an = 48(0.25n + 1)
an = 4(48n − 1)
an = 48(0.25n − 1)
Answer:
(d) 48(0.25^(n-1))
Step-by-step explanation:
The points shown on the graph have y-values that decrease by a factor of 4 as x-values increase by 1. The first couple are (1, 48), (2, 12). You want the formula for the n-th term.
Geometric sequenceThe terms of a geometric sequence have a common ratio (r). If the first term is a1, the general term is ...
an = a1(r^(n-1))
ApplicationThe given sequence has first term a1 = 48. The common ratio is ...
r = 12/48 = 1/4 = 0.25
Using these value in the formula for the general term, we find the n-th term to be ...
an = 48(0.25^(n-1)) . . . . n-th term of the pattern
[tex]\begin{array}{ccccccccc} 1&&2&&3&&4&&5\\\cline{1-9} \\48&,&12&,&3&,&\underset{0.75}{\frac{3}{4}}&&\underset{0.1875}{\frac{3}{16}}\\[2em]\cline{1-9} &&48\left( \frac{1}{4} \right)&&12\left( \frac{1}{4} \right)&&3\left( \frac{1}{4} \right)&&\frac{3}{4} \end{array}~\hfill \begin{array}{llll} a_1=48\\\\ r=\frac{1}{4} \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]n^{th}\textit{ term of a geometric sequence} \\\\ a_n=a_1\cdot r^{n-1}\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\stackrel{\textit{first term}}{48}\\ r=\stackrel{\textit{common ratio}}{\frac{1}{4}\to 0.25} \end{cases}\implies a_n=48\left( 0.25 \right)^{n-1}[/tex]
A wall is 412 feet long and has an area of 1534 square feet. What is its height in feet?
Answer:
3.72 ft
Step-by-step explanation:
Height of the wall will be equal to the width of the wall because we are considering over surface area of the wall
Therefore,
Area of the wall = length * height
1534 = 412 * height
Height = 1534/412
Height = 3.72 ft
Olivia is adding the numbers 25, 35, and 9. She wants to make a ten to add. Which ones digits does Olivia add first?
Answer:
35+25
Step-by-step explanation:
Olivia first add 25 and 35 to get the sum 10.
What is Addition?Addition is a technique for merging items and counting them as one big group. In math, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the total refers to the outcome of the operation.
Given:
Olivia had numbers as 25, 35 and 9.
So, to get the 10 the number should contain 5 at unit place.
then we first add 25 and 35
= 20+ 5 + 30+ 5
= 50+ 10
= 60
Then, 60+ 9= 69
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The thermosphere is the fourth layer of the Earth's atmosphere. This layer
starts just above the
mesosphere and extends to 600 kilometers above the surface of the Earth. In this layer the temperature
increases as you go up in altitude. Temperatures can be as low as -120°C to as high as 2000°C. Select all
expressions that show the range of temperatures found in the thermosphere.
A
|--120 - 2000
B.
|- 1201 - 12000
С
2000| - |-120
D
2000 - (-120)
E
- 1-120 - 2000
Answer:
a
Step-by-step explanation:
The expressions of the range of temperatures would be 2000 - (-120) found in the thermosphere which is the correct answer would be option (D).
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
The fourth layer of the Earth's atmosphere is the thermosphere. It begins just above the mesosphere and rises to a height of 600 kilometres above the Earth's surface.
As you go in height, the temperature in this layer rises. The range of temperatures is from -120°C to 2000°C.
The range of temperatures found in the thermosphere would be the difference between the final temperature and the initial temperature.
initial temperature = -120°C
final temperature = 2000°C
The range of temperatures = final temperature - initial temperature
The range of temperatures = 2000 - (-120)
Therefore, the expressions of the range of temperatures would be 2000 - (-120) found in the thermosphere.
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Collect like terms
−
8
d
2
−
3
d
2
Answer:
8,2,2,3
d,d,
HOPE THIS HELPS
Answer:
5d²
Step-by-step explanation:
Given
8d² - 3d² ← collect like terms by subtracting the coefficients, that is
(8 - 3)d²
= 5d²
Which graph represents a linear function?
Answer:
y + 2x = 10 (third option)
Step-by-step explanation:
We can see that every time x increases by one, y increases by -2, meaning that the slope is -2.
We also know that the y-intercept is 10 because that is the value of y when x is equal to 0.
Now, we can create the equation using the slope-intercept form (y = mx + b, where m is the slope and b is the y-intercept).
y = -2x + 10
If you look at the third option, that equation is just a rearranged form of our equation (y + 2x = 10).
This means that the third option is correct.
Answer:
C, or y+2x=1-
Step-by-step explanation:
Test them one by one. Put the y into the equation and the x in the equation. Whichever ones always work are the correct answer. Remeber, you have to consider all the possible values of x and y when you test them!
MXXX
Finally! After nearly two weeks of manual labor in the Georgia summer heat, all of the moving boxes are unpacked and all of your things have a place. You and your three roommates, Alex, Payton, and Jordan, got so lucky in the real estate department. Your apartment is right in the heart of midtown and in walking distance from the Georgia Tech Engineering building where you take the majority of your classes. Everything is perfect! Well… except one crucial component. The four of you cannot seem to agree on an internet and cable provider!
You have narrowed the list of options down to a few of the best companies. All companies offer exactly what the four of you need to continue being top engineering students.The big difference? The price. Your roommates are math enthusiasts and engineering majors just like you, so you know you need to provide extensive evidence to each of them to help move the decision along.
SignoCable has a program where you are able to waive the installation fee and offers your cable for $210 per month.
Urban Cable is offering a special promotion. They are requiring a $320 installation fee upfront. The month to month payment will be $115 for the first 12 months. After the first year, the monthly fee will increase.
ITP Cable requires a lower installation fee than Urban Cable. After six months with this company, you would have paid $1081 since the beginning of the year, and $1257 after 7 months of paying.
MonstroPin Cable company’s installation fee is $100.50. The total payment in August is $59 more than three times the total payment in February.
You’ve decided it’s up to you to save you and your friends money by presenting them with a clear model of the out of pocket expense for all cable companies. Not only do you plan on making a visual representation for Alex, you will even write a proposal that analyses your findings for Payton and Jordan. You will provide them with indisputable evidence of which cable company will provide the most cost effective service. The service you guys choose now will dictate how fast you can register for classes, when you can stream Game of Thrones, and turn your papers in on time. Needless to say, this is an important decision!
HELP!
I’m having a hard time solving this.
Log x + log (x+15)=2
Answer:
Step-by-step explanation: log x +log x +log15=2
2log x=2-log 15
log x= 0.823/2
x=antilog (0.411)
x=2.58
HELP!!! Find the range of the function shown in the graph:
Answer:
4/12
Step-by-step explanation:
brainest plz
Answer:
b
Step-by-step explanation:
2(7m−5)+(−8+9m)=?
Does anybody know what the answer to this question is?
If you know, please tell me. I'm really in a hurry.
Answer:
23m-18
Step-by-step explanation:
2(7m−5)+(−8+9m)
Remove parenthesis
2(7m-5)-8+9m
expand
14m-10
14m-10-8+9
simplify
23m-18
Ask me for more questions brainliest please.
6-2d=42
What is D please help me find what it is
Answer: -18
Step-by-step explanation:
if 6-2d=42
just subtract 6 from both sides
-2d=42-6
-2d=36 now divide by 2
-d=18
multiply by -1
d=-18
Answer: d=-18
Step-by-step explanation:
6-2d=42
First subtract 6 from both sides
-2d=36
Now divide both sides by -2 to get d alone
d=-18
5(2x-10)-3(2x-10)=4 what is x????? helpppp
Answer:
x = 6
Step-by-step explanation: (See picture)
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Hope this helps!
Have a great day and God bless! :)
11. 1. What value of x makes the equation 3x - 6 = 9 true?
Answer:
5
Step-by-step explanation:
6+9=15
15/3=5
Evaluate the following expression 2 x 1 + 2 x 4.
Answer:
2 × 1 +2 × 4= 10
Step-by-step explanation:
because 2×1 is 2 and 2×4 is 8 then you add them and get 10
Which three cards have equal values?
Answer:
Top Middle, Top Right, Bottom Left.
How many bacteria is in the Petri dish after 140 min ?
Answer:C. 2^10
Step-by-step explanation:
Law of indices
a^x + a^y = a^(x+y)
2^3 × 2^7
=2^(3+7)
=2^10
Mrs. Jones wants to make cookies.
She can make chocolate, vanilla, butter, or oatmeal cookies.
She will add either chocolate chips, nuts, or raisins.
How many different types of cookies can Mrs. Jones make?
Answer:
16
Step-by-step explanation:
I WILL GIVE. BRAINLIEST IF YOU HAVE PROOF (I need help)
Answer: use this link
Step-by-step explanation:
The stemplot displays 26 students’ scores on a 90-point statistics test.
A stemplot titled Test scores has values 43, 45, 46, 51, 52, 53, 55, 57, 60, 63, 63, 65, 66, 67, 67, 69, 69, 71, 71, 72, 74, 76, 77, 79, 84, 85.
Which of the following best describes the center and variability of the distribution?
The scores on the test are centered around 63 and vary from 45 to 85.
The scores on the test are centered around 66 and vary from 43 to 85.
The scores on the test are centered around 66 and vary from 40 to 80.
The scores on the test are centered around 69 and vary from 45 to 85.
The scores on the test are centered around 66 and vary from 43 to 85.
What is the center and variability of the dataset?A stemplot is a type of table where figures are divided into a stem and a leaf. The stem is the first number in the digit while the leaf is the last number. For example in the number 31, 3 would be the stem and 1 would be the leaf.
The range is used to measure variation. The range is the difference between the highest number and the smallest number. The largest number is 85 and the smallest number is 43.
The data would be centered around the median. The median is the number at the center of a dataset. The median is a measure of central tendency.
Median = (sum of numbers + 1) / 2
(26 + 1) / 2
= 27 / 2 = 13.5th number
(66 + 67) / 2 = 66.5
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