Current registration fee at triumphant college = N$ 1000
Percentage by which the registration fee will be increased next year = 11.5%
Registration fee at triumphant college next year :
= Current registration fee + 11.5% of current registration fee
\( =\tt1000 + \frac{115}{10 \times 100} \: \: of \: \: 1000\)
\( = \tt1000 + \frac{115}{1000} \times 1000\)
\( =\tt 1000 + \frac{115000}{1000} \)
\( =\tt 1000 + 115\)
\(\color{plum} = \tt \:\bold{ N\$ \: 1115}\)
Therefore, the registration fee at triumphant college next year = N$ 1115
a cd player holds 5 CDs and each disc has 12 songs. If the CDs are changed randomly, find the probability that your favorite song is played first as a fraction
Answer:
The probability that your favorite song is played first is 1/60
Step-by-step explanation:
We assume that all 5 CDs have different songs so that only one of CDs will have our favorite song.
Then The probability that the CD that contains the song comes first will be,
(since there are 5 CDs)
1/5
And that CD has 12 songs, the probability that our favorite song will play first is then,
1/12
The total probability of our favorite song playing will be the product of these two, so,
P = (1/5)(1/12) = 1/60
P = 1/60
The probability that your favorite song is played first is 1/60
Regular contribute of $200 are made at the end of each month for five years into a savings account earning interest at 4% compounded quarterly.the annuity can be classified as
Answer:
fyojhuuuuyhvghhh
Step-by-step explanation:
bhjiijiooijhvgh
The described annuity is ordinary general annuity.
What are Annuities?Annuities are defined as the agreement or a contract between the insurance company and you which helps in the lifetime income in the retirement stage.
Ordinary annuities are the type of annuities where the payments are made over a period at a fixed interval of time.
In simple annuity, the interval of making payments is same as the period of interest.
But in general annuity, the interval of payment is not the same as the period of interest.
Here the payment is made at the end of each month.
But the interest is compounded quarterly, once in three months.
So, it is not the same.
So it is a ordinary general annuity.
Hence the given annuity is ordinary general annuity.
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what is the value of the expression when a = 18 and b = 14
1/2 (18 + 14) - (18-14)
A 32
B 12
C 8
D 0
Answer:
Ans is 12
Step-by-step explanation:
Given
a=18 and b=14
1/2(18+14)-(18-14)
0.5×32-4
16-4
12 Ans
How can you use mental math to multiply two numbers?
Answer: Break the numbers you're multiplying into parts.
Step-by-step explanation:
What I find helps is splitting up the numbers and later adding them back together. An example of this is:
29×14
First I'd do 29×10, and get 290
Then 20×4, followed by 9×4, resulting in 80 and 36 respectively
Finally, 290+80+36= 406
I find the simplest numbers in the problem (2,5,10,20, etc.) and multiply from there. This may not be the best trick, but this is what I find helps. I hope this may help you too, and I wish you the best of luck.
8. The first three terms of a geometric sequence are ( x-6), 3x, and y. If the common ratio is 6, then the value of y is.
Answer:
The value of y is 216
(and the value of x is 12)
Step-by-step explanation:
The general formula for a geometric sequence is,
\(a_n = a_1(r)^{n-1}\)
Where n represents the nth term, a_1 is the first term and r is the common ratio,
we see that,
r = 6,
the first term is,
a_1 = (x-6)
the 2nd term is,
a_2 = 3x,
the 3rd term is,
a_3 = y, finding y,
first we find x, using the above given formula we have,
\(a_2 = a_1(6)^{2-1}\\3x = (x-6)(6^1)\\3x = 6x -36\\36 = 6x - 3x\\36 = 3x\\x=36/3\\x=12\)
x = 12,
Now, for y we can use the relation between a_3 and a_2,
\(a_3 = a_1(6)^{3-1}\\y = (x-6)(6)^2\\y = (12-6)(6^2)\\y = 6(6^2)\\y = 6^3\\y = 216\)
y = 216
Select the correct answer from each drop-down menu.
What type of risk applies to an investment in Treasury bonds?
The risk that the value of the Treasury bond will diminish over time if the value of the dollar decreases, or buys less than it used to, is
called
government to repay the bond.
v risk. Treasury bonds are seen to have no
vrisk because theyre backed by the promise of the US
Answer:
The first drop down is Inflationary and the second drop down is Credit.
Step-by-step explanation:
An engineer wants to test the complex and dangerous process of filling and emptying a tank of liquid hydrogen. The tank has a volume of 400 cm3. The tank can be filled 50 cm3 per hour faster than it can be emptied.
Part A. Write an expression for the number of hours it takes to fill this tank, in terms of r
Part B. Wrote an expression for the number of hours it takes to empty this tank, in terms of r:
Part C. Wrote an equation for the total time in hours it takes to fill and empty this tank in terms of r. Simplify.
Part D. Find the rate that would allow you to fill and empty the tank in 100 hours. Check for extraneous solutions, and show your work. Round to the nearest tenth.
Answer:
the answer is 45%.
Step-by-step explanation:
if you add 5% divided by 3 = 15%.
So if you add all of those plus the 30% you will be getting 45%.
Convert 7983 centimeters to kilometer. Round to the nearest hundredth.
Answer:
Submit Answer
0.08
Step-by-step explanation:Convert the unit
\(Convert\ the\ unit\ for\ 7983centimeters:\\ 0.07983\)
Round the number
\(Round\ 0.07983\ to\ the\ required\ place\\ 0.08\)
I hope this helps you
:)
By the conversion of the 7983 centimeters to kilometers then 0.08
How to convert centimeters to kilometers?One kilometer is equal to 1000 centimeters. So, to convert one kilometer into a meter we have to divide by 1000.
We need to Convert the unit 7983 centimeters to a kilometer.
1 km = 1000 cm
Convert the unit to 7983 centimeters:
0.07983
Round the number
Therefore, Round 0.07983 to the required place 0.08 to the nearest hundredth.
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Can someone help me find x.
Answer:
Step-by-step explanation:
6x+9=63
6x=63-9
6x=54
x=54/6
x=9
I encourage you to figure out the justification yourself.
What number is in the hundredths place in 77.52
Answer:
That would be 2, I hope this helps you! :D
Answer:
2 is in the hundredth place
it goes like
tenth-> hundredth->thousandth
please mark me as brainliest
Neal invested $120,000 in stocks and bonds. He earned 18% on his stock investments and 12% on his bond investments. If Neal's combined profits on both types of investments were $17,400, how much did he invest in stocks?
Answer:
$50,000
Step-by-step explanation:
The given relations can be used to write and solve an equation for the amount invested in stocks.
SetupLet s represent the amount invested in stocks. Then (120,000-s) is the amount invested in bonds. The total earnings by the two investments were ...
0.18s +0.12(120,000 -s) = 17,400
SolutionSimplifying the equation, we have ...
0.06s +14,400 = 17,400
0.06s = 3000 . . . . . . . . . . subtract 14,400
s = 50,000 . . . . . . . . . . . . divide by 0.06
Neal invested $50,000 in stocks.
__
Additional comment
The amount invested in bonds was 70,000. The profit earned was ...
0.18(50,000) +0.12(70,000) = 9,000 +8,400 = 17,400
system of linear equations includes the line that is created by the equation y = x+ 3, graphed below, and the line through the points (3, 1) and (4, 3). On a coordinate plane, a line goes through (0, 3) and (2, 5). What is the solution to the system of equations? (–1, 2) (1, 3) (8, 11) (9, 12) Mark this and return
The solution of the system of equations is (8, 11).
What is the solution of the system of equations?We know that one of the equations of the system is:
y = x + 3
And the other line passes through the points (3, 1) and (4, 3), then the slope of that line is:
a = (3 - 1)/(4 - 3) = 2
So the line is something like:
y = 2*x + b
To find the value of b, the y-intercept, we can replace the values of one of the points.
I will use (3, 1)
1 = 2*3 + b
1 = 6 + b
1 - 6 = b
-5 = b
So the other line is y = 2x - 5
Then the system of equations is:
y = x + 3
y = 2x - 5
Now we can solve the system:
x + 3 =2x - 5
3 + 5 = 2x -x
8 =x
The x-value of the solution is 8, then the only option that can be correct is.
(8, 11)
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REAL ANSWERS TROLL ANSWERS GET REPORTED Create your own graphic organizer that compares and contrasts the Industrial Revolution with today's technological revolution. You will use your background knowledge from this unit to complete the portion about the Industrial Revolution, and you will use one source you found through your research to complete the portion about today's technological revolution. Your organizer should address all of the items below. The Industrial Revolution: What were the causes? What were the effects? What were some problems that were a result? What were some benefits that were a result? Today's Technological Revolution: What were the causes? What were the effects? What were some problems that were a result? What were some benefits that were a result? You should also include the source information about the article or text you selected through your research. Click here for an example graphic organizer you may use for this assignment. Or, you can create your own graphic organizer and upload it in the space below. Click here to view the rubric for this assignment.
Greetings I am BrotherEye
Answer:
The Task you are asking me to complete is nearly impossible for me to complete in under a short window f twenty Minutes furthermore I will conduct a guide to asist you in asymbling your Orgnizer. Types of Graphic Organizers to Improve Learning
T-Chart.
Concept Map.
Main Idea Web.
Venn Diagram.
Sequence Chart.
Step-by-step explanation:
Please pick one and I will you
~
BrotherEye
slope of line (-3,-2) and (-1,-5)
Answer:
−3/2
Step-by-step explanation:
Hope this helps
:D
Caden deposited $4,251 into a savings account 15 years ago. The account has an interest rate of 3.4% and the balance is currently $7,063.91. How often does the interest compound? a daily b monthly c quarterly d annually
Answer:
quarterly
Step-by-step explanation:
i just took the unit exam i got it right, its quarterly.
Factor the trinomial x^2+19x+84
Answer:
(x+7)(x+12)
Step-by-step explanation:
Hope this helps and have a great day!!!!
Find the pair of numbers that completes the factorization. x^2 - 3x - 40 = (x +?)(x-?)
a- 5,8
b- 4,10
c- 10,4
d- 8,5
answer
a. 5,8
explanation
use numbers in each answer choice
+5 * -8 = - 40
+5 -8 = -3
Consider the form \(x^2+bx+c\). Find a pair of integers whose product is \(c\) and whose sum is \(b\). In this case, whose product is -40 and whose sum is -3.
\(\longrightarrow\boxed{\bold{(-8,5)}}\)
Write the factored form using these integers.
\((x-8) \ (x+5)\)
Kelly is knitting a scarf for her brother. It took her 1/3 hour to knit 1/2 foot of the scarf. How fast Kelly knitting, in feet per hour
please help me
Answer:
9/8
Step-by-step explanation:
She is knitting /3 for 3/8
Therefore, the answer is 9/8
Write an equivalent expression to show the relationship of multiplication and addition 6 + 6 + 6
Answer:
6^3
Step-by-step explanation:
Find the smallest whole number by which 16087 should be multiplied or divided to get a perfect square
There is no whole number by which you can multiply or divide 16087 to make it a perfect square.
To determine by which number you should multiply or divide 16087 to make it a perfect square, we can analyze its prime factorization. The prime factorization of 16087 is 13 × 1237.
In order to make 16087 a perfect square, we need each prime factor to have an even exponent. However, when we examine the prime factors of 16087, we find that both 13 and 1237 have an exponent of 1.
To make the exponents even, we need to multiply or divide 16087 by additional prime factors and their respective exponents. However, since 16087 is a product of two prime numbers (13 and 1237), we cannot introduce any additional prime factors to make the exponents even.
A perfect square is a number that can be expressed as the product of two equal factors. In the case of 16087, it cannot be transformed into a perfect square by multiplying or dividing by any whole number. The prime factors 13 and 1237 remain with an exponent of 1 each, indicating that there is no integer that can be applied to make them equal and convert 16087 into a perfect square.
Therefore, there is no whole number by which you can multiply or divide 16087 to make it a perfect square.
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Find two numbers whose product 9.8 =72 and whose sum is -38
Answer:Let's call the two numbers x and y. We know that:
xy = 72
x + y = -38
We can use the first equation to solve for one of the variables in terms of the other:
x = 72/y
Then, we can substitute this expression into the second equation:
72/y + y = -38
y^2 + 72 = 38y
y^2 - 38y + 72 = 0
This is a quadratic equation that can be solved using the quadratic formula:
y = (-b ± √(b^2 - 4ac)) / 2a
where a = 1, b = -38, c = 72.
Plugging in these values, we get:
y = (38 ± √(38^2 - 4(1)(72))) / 2(1)
y = (38 ± √(1444)) / 2
y = (38 ± 38) / 2
So, we have two solutions for y:
y = 38 / 2 = 19
y = -38 / 2 = -19
With either of these values for y, we can use the first equation to solve for x:
x = 72/y = 72/19 = 3.8
or
x = 72/-19 = -3.8
So, the two numbers whose product is 72 and whose sum is -38 are x = 3.8 and y = 19, or x = -3.8 and y = -19.
Step-by-step explanation:
Let's call the two numbers x and y. We know that:
xy = 72
x + y = -38
We can use the first equation to solve for one of the variables in terms of the other:
x = 72/y
Then, we can substitute this expression into the second equation:
72/y + y = -38
y^2 + 72 = 38y
y^2 - 38y + 72 = 0
This is a quadratic equation that can be solved using the quadratic formula:
y = (-b ± √(b^2 - 4ac)) / 2a
where a = 1, b = -38, c = 72.
Plugging in these values, we get:
y = (38 ± √(38^2 - 4(1)(72))) / 2(1)
y = (38 ± √(1444)) / 2
y = (38 ± 38) / 2
So, we have two solutions for y:
y = 38 / 2 = 19
y = -38 / 2 = -19
With either of these values for y, we can use the first equation to solve for x:
x = 72/y = 72/19 = 3.8
or
x = 72/-19 = -3.8
So, the two numbers whose product is 72 and whose sum is -38 are x = 3.8 and y = 19, or x = -3.8 and y = -19.
If an interior angle of a regular polygon has a measure of 120 degrees, how many sides does it have?
Step-by-step explanation:
The formula to find the interior angle of a polygon is 180(n - 2) over n.
So, we know that the interior angle of the polygon which is 120, therefore we can produce this equation, 180(n - 2) over 2 n, equals to 120.
Now we use algebric method to solve for n.
180n − 360 = 120n
60n = 360
n = 6
So, the answer is = 6 sidesBryan was selling tickets for a school play. Adult tickets cost $10 and children's tickets cost $5. If Bryan madea total of $310 in one day of sales write an equation that could represent the number of adult's
(a) tickets and children's tickets sold.
Answer:
Step-by-step explanation:
10(a)+5(c)=310
a= number of adult
c= number children
Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:
In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.
The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.
Which of these could be a step to prove that BC2 = AB2 + AC2?
possible answers -
By the cross product property, AB2 = BC multiplied by BD.
By the cross product property, AC2 = BC multiplied by BD.
By the cross product property, AC2 = BC multiplied by AD.
By the cross product property, AB2 = BC multiplied by AD.
The correct step to prove that \(BC^2 = AB^2 + AC^2\) is:
By the cross product property, \(AC^2 = BC \cdot AD\).
To prove that \(BC^2 = AB^2 + AC^2\), we can use the triangle similarity and the Pythagorean theorem. Here's a step-by-step explanation:
Given triangle ABC with right angle at A and segment AD perpendicular to segment BC.
By triangle similarity, triangle ABD is similar to triangle ABC. This is because angle A is common, and angle BDA is a right angle (as AD is perpendicular to BC).
Using the proportionality of similar triangles, we can write the following ratio:
\($\frac{AB}{BC} = \frac{AD}{AB}$\)
Cross-multiplying, we get:
\($AB^2 = BC \cdot AD$\)
Similarly, using triangle similarity, triangle ACD is also similar to triangle ABC. This gives us:
\($\frac{AC}{BC} = \frac{AD}{AC}$\)
Cross-multiplying, we have:
\($AC^2 = BC \cdot AD$\)
Now, we can substitute the derived expressions into the original equation:
\($BC^2 = AB^2 + AC^2$\\$BC^2 = (BC \cdot AD) + (BC \cdot AD)$\\$BC^2 = 2 \cdot BC \cdot AD$\)
It was made possible by cross-product property.
Therefore, the correct step to prove that \(BC^2 = AB^2 + AC^2\) is:
By the cross product property, \(AC^2 = BC \cdot AD\).
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mark has 5 quarters 25 dimes and 20 nickels in his coin box. he randomly takes out a coin and replaces it and randomly takes out another what is the probability that he picked a dime and a nickel
When he replaces a coin that was taken out randomly, there is a 50% chance that he chose a dime and a nickel.
what is probability ?A branch of mathematics called probability theory determines the likelihood that an event will occur or that a statement is true. A chance is a number between 0 and 1, where 1 denotes certainty and about 0 denotes how probable an event is to occur. The possibility or probability that a specific event will occur is expressed numerically as a probability. Probabilities can also be expressed as a percentage form 0% to 100% or as numbers between 0 and 1. the proportion of occurrences among all equally likely alternatives that lead to a certain occurrence relative to all possible outcomes.
given
There are six possible methods to select two coins (sequence is irrelevant): 1, 5, 1, 10, 1, 25, 5, 10, and 1, 25. (10,25).
Three of these add up to at least 25, thus 3/6 or 1/2 of them.
Alternatively, there are 4 ways to choose 2 coins from 4, or 4 C 2 = 6.
You then select one of the three remaining coins and the quarter (required to reach at least 25) as follows: 3 C 1= 3 ways.
When he replaces a coin that was taken out randomly, there is a 50% chance that he chose a dime and a nickel.
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marcels financial goal is to purchase a house to make Marcels financial goal of purchasing a house a specific goal he can
Marcel can set a goal of purchasing the house in 5 years. The timeframe Factor enables Marcel to work towards his financial goal within a specified period.
Marcel's financial goal is to purchase a house. To make Marcel's financial goal of purchasing a house a specific goal, he can identify the following factors:
Specificity: Marcel should specify the type of house he wants to purchase. This includes the size of the house, the number of rooms, the location, the neighborhood, and the amenities he wants in the house. For instance, Marcel can specify that he wants to purchase a 3-bedroom bungalow house located in a suburban area.
Measurability: Marcel should identify how much money he needs to purchase the house. This means that he should set a financial target that he wants to achieve to be able to purchase the house. For instance, Marcel can set a target of saving $100,000 in 3 years to purchase the house. The measurability factor enables Marcel to track his progress toward achieving his financial goal.
Attainability: Marcel should set a financial goal that is achievable based on his income and financial situation. For instance, if Marcel's current income cannot enable him to save $100,000 in 3 years, he can adjust his financial goal to suit his financial situation.
Realistic: Marcel should set a realistic financial goal that he can achieve given his resources and time frame. For instance, Marcel should not set a financial goal that is too high that he cannot achieve it or too low that it does not challenge him.
Time-bound: Marcel should set a timeframe within which he wants to achieve his financial goal. This means that Marcel should set a specific date by which he wants to purchase the house.
For instance, Marcel can set a goal of purchasing the house in 5 years. The timeframe factor enables Marcel to work towards his financial goal within a specified period.
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A total of $25,000 is going to be split between adam and krissy with adam receiving $3000 less than krissy. how much will each get?
Answer:
Adam=$11000, Krissy=$14000
Step-by-step explanation:
Adam gets 3000 less
Adam=(25000-3000)÷2=11000
Krissy=11000+3000=14000
What is the area of this figure?
Answer:
621
Step-by-step explanation:
5 x 9 = 45
13 x 12 = 156
21 x 20 = 420
add them to get 621
I hoep this helps!
The difference between eleven and the number d
11. Check for Reasonableness Santiago wants to display categorical data
in a circle graph. He divides the circle graph into 5 equal sections because
the data set has 5 groups. Do you agree? Justify your answer,
Answer: Not necessarily. Dividing the pie chart into 5 equal sections might be a way to display categorical data if the number of categories is 5. However, dividing it into 5 sections might not be the best way to display the data if the number of categories is different than 5 or if any category has a significantly higher or lower proportion than the others. In this case, it may be more appropriate to use a different scale to display the correct ratio. It is important to consider data distribution and visualization clarity before choosing how to display categorical data.