Answer:
10
Step-by-step explanation:
Answer
10
Step-by-step explanation:
100 gives
PRT
The simple interest formula I
the interest I on a principal P invested at a
rate of R% per annum for T years.
a Find the interest when N150 000 is
invested at 5% per annum for 4 years.
b Find the principal that gains an interest of
N16100 in 5 years at 7% per annum.
Answer:
Step-by-step explanation:
a) P = N 150000
R = 5%
T = 5 years
Plug in the values P,R & T in the formula
I = PRT
\(I=150000*\frac{5}{100}*4\\\\= 1500 * 5 * 4\\\)
I = N 30000
b) I = N 16100
R = 7%
T = 5 years
\(PRT = I\\\\P*\frac{7}{100}*5=16100\\\\P=16100*\frac{100}{7*5}\)
P= N 46000
Answer:
\( \boxed{ \bold{ \boxed{ \sf{a. \: \: interest \: = \: N \: 30000}}}}\)
\( \boxed{ \bold{ \boxed{ \sf{b. principal \: = \: N \: 46000}}}}\)
Step-by-step explanation:
a. Given,
Principal ( P ) = N 150000
Rate ( R ) = 5 %
Time ( T ) = 4 years
Interest ( I ) = ?
Finding the Interest ( I )
\( \boxed{ \bold{ \sf{interest = \frac{principal \times time \times rate}{100} }}}\)
⇒\( \sf{interest = \frac{150000 \times 4 \times 5}{100} }\)
⇒\( \sf{interest = \frac{3000000}{100}} \)
⇒\( \sf{interest = N \: 30000}\)
Interest = N 30000
------------------------------------------------------------
b. Given,
Interest ( I ) = N 16100
Time ( T ) = 5 years
Rate ( R ) = 7 %
Principal ( P ) = ?
Finding the principal
\( \boxed{ \bold{ \sf{principal = \frac{interest \times 100}{time \times rate}}}} \)
⇒\( \sf{ \frac{16100 \times 100}{5 \times 7} }\)
⇒\( \sf{ \frac{1610000}{35} }\)
⇒N \( \sf{46000}\)
Principal = N 46000
Hope I helped!
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please don’t answer if you don’t know this is a exam
a jar contains 4 blue, 4 green, 7 yellow and 3 red marble?
a. what is the probability of choosing a blue marble?
b. what is the probability of choosing a green marble?
c. what is the probability of choosing a black marble?
Answer:
Answer is as follows
Step-by-step explanation:
a. The probability of choosing a blue marble can be found by dividing the number of blue marbles by the total number of marbles in the jar. So the probability of choosing a blue marble is:
P(blue) = 4/18 = 2/9
b. Similarly, the probability of choosing a green marble is:
P(green) = 4/18 = 2/9
c. There are no black marbles in the jar, so the probability of choosing a black marble is 0.
Answer:
Blue marbles: \(\frac{2}{9}\)
Green marble: \(\frac{2}{9}\)
Black marble: \(0\)
Step-by-step explanation:
It is given that a jar contains 4 blue, 4 green, 7 yellow, and 3 red marbles, for a total of 18 marbles in all. To solve for probability, you will put the part of what you are solving for (in this case, a certain color marble) over the whole (which includes all colors of the marble together).
a. What is the probability of choosing a blue marble?
It is given to us that there are 4 blue marbles total in the given jar. Therefore, the fraction of blue marbles/all marbles will be 4/18.
You may be asked to simplify. Simplify fractions by dividing common factors. The common factor in this case will be 2:
\(\frac{(\frac{4}{18})}{\frac{2}{2}} = {\frac{2}{9}\)
\(\frac{2}{9}\) is your probability for blue marbles.
b. What is the probability of choosing a green marble?
It is given to us that there are 4 green marbles total in the given jar. Therefore, the process will be the same as blue, meaning that your answer is 2/9 simplified:
\(\frac{\frac{4}{18}}{\frac{2}{2}} = \frac{2}{9}\)
\(\frac{2}{9}\) is your answer.
c. What is the probability of choosing a black marble?
There are no black marbles in the given set (the colors being blue, green, yellow, and red). Therefore, within the given set, there will be no chance of obtaining a black marble.
\(0\) is your answer.
~
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-9h-15=93
show work ;0
First add 15 to 93 which equals 108.
-9h=108
/-9 /-9 divide both sides by -9
h=-12
\(-9h-15=93\)
Add 15 to both sides:
\(-9h-15+15=93+15\)
\(-9h=108\)
Divide both sides by -9:
\(\dfrac{-9h}{-9} =\dfrac{108}{-9}\)
\(\fbox{h = -12}\)
Help me please, i need this answer I don't know what it is.
Gives brainliest for best answer and easy to understand!
Answer: the right answer is D
Step-by-step explanation:
If you multiply 4 by 2 you get 8. If this goes on the answers are aways the same and it’s going to be proportional
Mary is averaging her grandchildren’s credit scores. She has arranged the scores in the table shown below. What is the median credit score in this group? (Round to the nearest whole point, if applicable. ) 639 732 790 837 677 744 637 821 a. 735 b. 738 c. 757 d. There is no median in this group.
By applying the formula we got 738 is median credit score of mary.
What is median?The median is the middle number in a sorted, ascending or descending, list of numbers
Given credit score
639 732 790 837 677 744 637 821
First we will arrange data in ascending order
so ascending order is 637,639,677,732,744,790,821,837
Here total number of terms n= 8
which is even
so median is
\(\frac{(n/2)^{th } observation+(n/2 +1)^{th} observation )}{2}\)
so median
\(=\frac{(8/2)^{th } observation+(8/2 +1)^{th} observation )}{2}\\\\=\frac{(4)^{th } observation+(5)^{th} observation )}{2}\\\\=\frac{732+744}{2}\\\\=\frac{1476}{2}\\\\=738\)
By applying the formula we got 738 is median credit score of mary .
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Answer:
✅ B. 738I got it right ⬇️
What is the decay factor that corresponds to a 10% decrease?
10
C. 90
b. 0.10
d. 0.90
Answer:
10
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
0.90
there are 9 children in a class who take the bus to school and there are 15 total children in the class what percentage of the children take the bus to school?
Answer:
60%
Step-by-step explanation:
Answer:
60%
Step-by-step explanation:
9/15=.6
.6 as a percent is 60%
Pls help right away asap 20 point question!!
The answer of the given question is , the predicted average retail price of a car in 2003 is $9860.40.and the car will be worth $814 in the year 2010.
What is Regression Equation?A regression equation is a mathematical formula that is used to describe the relationship between two or more variables. It is typically used in statistical analysis to model the relationship between a dependent variable and one or more independent variables.In simple linear regression, there is only one independent variable, and the regression equation takes the form of a straight line. In multiple regression, there are two or more independent variables, and the regression equation takes the form of a more complex mathematical function.
Using a calculator, we can input the data points into a regression equation to find the line of best fit. Using the given data, we get the regression equation:
y = -1357.4x + 18003.8
where y represents the retail price of a car and x corresponds to the year, with x = 1 representing 1998.
To predict the average retail price of a car in 2003, we need to substitute x = 6 (since 2003 corresponds to x = 6) into the regression equation:
y = -1357.4(6) + 18003.8
y = -8144.4 + 18003.8
y = 9860.4
So, the predicted average retail price of a car in 2003 is $9860.40.
To determine the year when the car will be worth $814, we need to substitute y = 814 into the regression equation and solve for x:
814 = -1357.4x + 18003.8
Simplifying, we get:
-1357.4x = -17189.8
x = 12.65
Rounding up to the nearest whole number, we get x = 13, which corresponds to the year 2010. Therefore, the car will be worth $814 in the year 2010.
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True Or False
The solutions of a quadratic equation represent the y-intercept of the corresponding function
what is the slope of the line that passes through (-7,8)and (9,-4)
Answer:
-4/3
Step-by-step explanation:
\(m = \frac{9 - ( - 7)}{ - 4 - 8} = \frac{16}{ - 12} = - \frac{4}{3} \)
You have four different time slots for employees for break. Which probability distribution do you use? What data do you need to collect?
In this case, since we have four different time slots for employees, we can use a discrete probability distribution known as the categorical distribution.
To determine the probability distribution for employee break time slots, we need to consider the nature of data and the characteristics of the distribution.
The categorical distribution, also known as the multinoulli or the discrete distribution, is suitable when the outcome can take on one of several distinct categories or states, each with its own probability. In this scenario, the four different time slots can be considered as categories or states, and the probability distribution will provide the likelihood of an employee falling into each specific time slot.
To collect the necessary data, we would need information about the actual break time slots of the employees. We could observe and record the break times for a sample of employees over a specific period. This data collection process would involve noting which time slot each employee chooses for their break. By accumulating this data, we can determine the frequency or proportion of employees choosing each time slot.
Based on this collected data, we can construct the probability distribution for the employee break time slots. The distribution will assign probabilities to each category or time slot, reflecting the likelihood of an employee selecting that particular slot for their break. This information can be useful for various purposes, such as scheduling optimization or resource allocation within the organization.
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Use the equation below to find y, if m=11, x=2, and b=5.
y=mx-b
Y=
A washer and a dryer cost $834 combined. The washer costs $84 more than the dryer. What is the cost of the dryer?
Answer:
The dryer cost $375
Step-by-step explanation:
834/2 = 417
84/2 = 42
417 - 42 = 375
834 - 375 = 459
459 - 84 = 375
PROOF: 417 - 375 = 42 then double that answer to get 84
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When a buh wa firt planted in a garden,it wa 12 inche tall. After two week, it wa 120% a tall a when it wa firt planted. How tall wa the buh after the two week
When a buh wa firt planted in a garden,it wa 12 inche tall. After two week, it wa 120% a tall a when it wa firt planted. Tall wa the buh after the two week is \(\\26 \frac{2}{5}\).
What is improper fractions?
An improper fraction is a fraction whose numerator is equal to or greater than its denominator. 3/4, 2/11, and 7/19 are proper fractions, while 5/2, 8/5, and 12/11 are improper fractions.
12 times 120% + 12
12*120%+12
\($$\begin{aligned}& 120 \% \text { in fractions: } \frac{6}{5} \\& =12 \times \frac{6}{5}+12\end{aligned}$$\)
Follow the PEMDAS order of operations
Multiply and divide (left to right) \($12 \times \frac{6}{5}: \frac{72}{5}$\)
\(=\frac{72}{5}+12$$\)
Add and subtract (left to right) \($\frac{72}{5}+12: \frac{132}{5}$\)
\(=\frac{132}{5}$$\)
Convert improper fractions to mixed numbers: \($\frac{132}{5}=26 \frac{2}{5}$\)
\(=26 \frac{2}{5}$$\)
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What is the probability of NOT drawing a face card from a standard deck of 52 cards.
8 over 13
3 over 13
10 over 13
1 half
The probability of NOT drawing a face card from a standard deck of 52 cards is 10 over 13.
First determine the total number of face cards and non-face cards in a standard deck of 52 cards. In a standard deck, there are 12 face cards (3 face cards per suit: Jack, Queen, and King, and 4 suits: Hearts, Diamonds, Clubs, and Spades). This means there are 52 - 12 = 40 non-face cards.
Now, we'll calculate the probability of NOT drawing a face card:
Probability = (Number of favorable outcomes) / (Total number of outcomes)
Probability of NOT drawing a face card = (Number of non-face cards) / (Total number of cards)
Probability = 40 / 52
Simplify the fraction by dividing the numerator and denominator by their greatest common divisor (4):
Probability = (40/4) / (52/4)
Probability = 10 / 13
So, the probability of NOT drawing a face card from a standard deck of 52 cards is 10/13. Your answer: 10 over 13.
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File Format VHly IF 319,760 JELLY BEANS FIT IN A 1993 CADILLAC ALLANTE with a length of 178.7in and height of 51.5in and width of 73.4 THEN WHAT WILL BE HALF THE AVERAGE GUESS FOR HOW MANY JELLY BEANS FIT IN A 2001 CHEVY SUBURBAN with a height of 75.4in and length of 219.3 and width 78.8?
The number of jelly beans that fit in a 2001 Chevy Suburban can be calculated by finding the volume of the car's interior and dividing it by the volume of a single jelly bean.
To find the number of jelly beans that fit in a 2001 Chevy Suburban, we first need to calculate the volume of the car's interior. The volume of a rectangular prism is calculated by multiplying its length, width, and height. In this case, the length of the Suburban is 219.3in, the width is 78.8in, and the height is 75.4in.
Using the formula V = lwh, we can calculate the volume:
V = 219.3in * 78.8in * 75.4in
Next, we need to find the volume of a single jelly bean. Since the question does not provide this information, we will assume a standard jelly bean size.
Once we have the volume of the car and the volume of a single jelly bean, we can divide the car's volume by the jelly bean's volume to find the number of jelly beans that fit.
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P (-7, 1) T(x,y)= (x+9, y - 3) find the image of the given point under the given translation
\((-7+9, 1-3)=\boxed{(2, -2)}\)
The answer is (2,-2).
What do we mean by translation?Each point in a figure is moved the same distance in the same direction using a type of transformation known as translation.A transformation known as a translation involves shifting each point in a figure by the same amount and in the same direction. For instance, this transformation shifts the parallelogram 3 units upward and 5 units to the right.A transformation in geometry is an action that moves, flips, or modifies a shape (referred to as the preimage) to produce a new shape (called the image). An example of a transformation is a translation, which moves every point in a figure uniformly and in one direction.Find the image of the given point under the given translation:
The rule of translation is (x+9, y - 3), P (-7, 1).
Here we need to add 9 from
x value is -7+9=2
y We need to subtract -3 from
y value is (1-3)=-2
So, P’=( 2,-2)
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Please help me solve this.
Step-by-step explanation:
Steps are in the picture above.
Note:if you need to ask any question please let me know.
Solve the following equations: e^−x^−e^x =3
We have to find the value of x for the given equation e^(−x^)−e^x =3. Here we can use a small trick to get the solution. We know that e^-x is the reciprocal of e^x. So we can replace e^-x with 1/e^x. Now we have the equation e^(−x^)−e^x =3 in the form e^x - 1/e^x = 3.
This is a quadratic equation in the form ax^2 + bx + c = 0. Here a = 1, b = 0, c = -3. We can solve this quadratic equation to get the value of x.
Given equation is e^(−x^)−e^x =3.We can replace e^-x with 1/e^x.Now the equation is e^(x) - 1/e^(x) = 3.
Let's take e^x as a variable and solve the equation:e^x - 1/e^x = 3Multiplying both sides by e^x, we get e^x * e^x - 1 = 3e^xNow e^(2x) - 3e^x - 1 = 0.
This is a quadratic equation in the form ax^2 + bx + c = 0. Here a = 1, b = -3, c = -1.
We can solve this quadratic equation using the quadratic formula which is given as:x = [-b ± sqrt(b^2-4ac)]/2a.
Substituting the values, we get:x = [-(-3) ± sqrt((-3)^2-4(1)(-1))]/2(1)x = [3 ± sqrt(13)]/2Hence the value of x is x = [3 ± sqrt(13)]/2.
We can solve the given equation e^(−x^)−e^x =3 using a small trick. We know that e^-x is the reciprocal of e^x. So we can replace e^-x with 1/e^x. Now we have the equation e^(−x^)−e^x =3 in the form e^x - 1/e^x = 3. This is a quadratic equation in the form ax^2 + bx + c = 0.
Here a = 1, b = 0, c = -3. We can solve this quadratic equation to get the value of x.We have, e^x - 1/e^x = 3Multiplying both sides by e^x, we get e^x * e^x - 1 = 3e^xNow e^(2x) - 3e^x - 1 = 0This is a quadratic equation in the form ax^2 + bx + c = 0. Here a = 1, b = -3, c = -1.
We can solve this quadratic equation using the quadratic formula which is given as:x = [-b ± sqrt(b^2-4ac)]/2aSubstituting the values, we get:
\(x = [-(-3) ± sqrt((-3)^2-4(1)(-1))]/2(1)x = [3 ± sqrt(13)]/2So the value of x is x = [3 ± sqrt(13)]/2.\)
Hence the solution of the equation e^(−x^)−e^x =3 is x = [3 ± sqrt(13)]/2.
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assume that a researcher wants to select individuals from a population so that an equal number of people from different ethnic groups (e.g., african-american, hispanic, asian-americans) are selected. the procedure the researcher would use is called
The procedure the researcher will use is called stratification sampling.
What is Stratified Sampling?A stratified sample is created by separating a population into similar subpopulations (strata) and taking a representative sample from each. Stratified sampling is used by researchers to ensure that specific subgroups are represented in their samples. Additionally, it helps them estimate the characteristics of each group precisely. This method is used in many surveys in order to better understand the differences between subpopulations. The term stratified sampling is also used to refer to stratified random sampling.
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Donald can type 240 words in 6 minutes. How long will it take him to type a 1000-word essay if he types at the same rate?
Fill in the blanks with the correct values.
Donald can type 240 words in 6 minutes. How long will it take him to type a 1000-word essay if he types at the same rate?
This question can be solved by using proportions. The question has already given a proportion you need to fill in, which looks like this:
\(\displaystyle \frac{A}{B} =\frac{x}{1000}\)
As you can see, the denominators are B and 1000, which represents the number of words. That means the number of words will go on the bottom, which leaves you with the number of minutes as the numerator.
Donald can type 240 words in 6 minutes. The number of words, 240, is the denominator, and the number of minutes, 6, is the numerator.
Substitute A and B with these values:
\(\displaystyle \frac{A}{B} =\frac{x}{1000} \rightarrow \frac{6}{240} =\frac{x}{1000}\)
Now you need to cross multiply.
\(1000 \times 6=240 \times x\)
Simplify:
\(6000=240x\)
Lastly, you need to divide both sides by 240 to find the value of x alone. This is because 240 is being multiplied by x, and in order to leave x alone, you must do the opposite of it, which is dividing.
\(\displaystyle \frac{6000}{240} =\frac{240x}{240}\)
\(\displaystyle x=25\)
That means Donald can type 1000 words in 25 minutes. A is also equal to 6, and b is equal to 240.
__________________________________________________________
\(\displaystyle {\bf\frac{6}{240} =\frac{x}{1000}\)
Solving this proportion indicates Donald could type his essay in 25 minutes.
__________________________________________________________
you get to spin the wheel at a carnival booth to win some prizes. the wheel has regions numbered 1 through 30. what is the probability that the spinner will stop on an even number or a multiple of 3? express your answer as a fraction in simplest form.
The probability of the spinner stopping on an even number or a multiple of 3 is 20/30, which simplifies to 2/3.
To calculate the probability of the spinner stopping on an even number or a multiple of 3, we need to count the number of regions on the wheel that satisfy this condition and divide by the total number of regions on the wheel.
First, let's count the number of regions on the wheel that are even numbers.
There are 15 even numbers between 1 and 30: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, and 30.
Next, let's count the number of regions on the wheel that are multiples of 3.
There are 10 multiples of 3 between 1 and 30: 3, 6, 9, 12, 15, 18, 21, 24, 27, and 30.
However, some regions are both even and multiples of 3 (i.e., 6, 12, 18, 24, and 30), so we need to subtract the number of overlapping regions to avoid double-counting.
This gives us a total of 15 + 10 - 5 = 20 regions that satisfy the condition.
Therefore, the probability of the spinner stopping on an even number or a multiple of 3 is 20/30, which simplifies to 2/3.
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6. Find the number of each category of voters based on the
information given below.
Total number of votes = 300000 votes
Percentage of
Votes, Others,
4%, 4%
Percentage
of Votes,
Females,
47%,
Percentage
of Votes
Males, 49%
Number of Male voters =
Number of female voters =
Number of voters to "Others" category=
The number of Male voters =14700, The number of female voters =14100 and the number of voters to "Others" category=1200
How do you calculate a percentage?
A % is a quantity or ratio that, in mathematics, represents a portion of one hundred. It's frequently represented by the sign "%" or just "percent" or "pct." For instance, the decimal 0.35, or the fraction, represents 35%.
Given : Total votes = 300000
males = 49%
females = 47%
Others = 4%
Number of votes for males = \(\frac{49}{100} *300000\) = 14700
Number of votes for females = \(\frac{47}{100} *300000\) = 14100
Number of votes for others = \(\frac{4}{100} *300000\\\) = 1200
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Michael buys a basket of mangoes on sale for $4 before tax.
The sales tax is 12%
What is the total price Michael pays for the basket of mangoes?
help pl
Answer:
The answer is $4.48
Step-by-step explanation:
To get the total price you take 4.00 * 0.12 = 0.48
Then you add the $4.00 to the 0.48 and get $4.48
NEED HELP ASAP PLS!! Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. With reference to the figure, match the angles and arcs to their measures?
Answer:
1) 122 = Angle DFA
2) 144 = Angle COB
3) 124 = CE
4) 58 = EOB
Step-by-step explanation:
I think this is correct. Correct me if im wrong
Solve for r.
21 = 42 - 3r
A. r = -8
B. r = -7
C. r = 7
D. r = 8
Answer:7
Step-by-step explanation:
21=42-3r
21-42=3r
-21=3r
r=7
Answer:
-7
Step-by-step explanation:
Write the converse, inverse and contrapositive of the followingIf the triangle is equilateral, then the triangle is equiangular
this is the answer gimme brainliest
There are 45 eighth graders and 20 seventh graders in a school club. The president of this club wants 40% of the club’s members to be seventh graders. How many more seventh-graders must join the club in order to meet the president’s wishes? (Assume that the number of eighth-graders remains the same.)
Answer: Please Give Brainliest. Thank You!
10 more
The number of seventh-graders that must join the club in order to meet the president's wishes is 10.
Since there are 45 eighth graders and 20 seventh graders in a school club and the president of this club wants 40% of the club’s members to be seventh graders, we need to find the number of seventh graders that will be added to the school club to make their percentage 40 %.
Let the number of seventh-graders to be added be x.
So, the new number of seventh-graders is 20 + x and the new number of people in the club is 45 + 20 + x = 65 + x
Thus, the percentage of seventh graders in the club is thus
\(\frac{20 + x}{65 + x} X 100\) %
Since this percentage equals 40 %, we have that
\(\frac{20 + x}{65 + x} X 100\)% = 40 %
\(\frac{20 + x}{65 + x} = \frac{40}{100} \\\frac{20 + x}{65 + x} = 0.4\)
Cross-multiplying we have
\(20 + x = 0.4(65 + x)\)
Expanding the bracket, we have
\(20 + x = 26 + 0.4x\)
Subtracting 20 from both sides we have
\(x = 26 - 20 + 0.4x\\x = 6 + 0.4x\)
Subtracting 0.4x from both sides, we have
\(x - 0.4x = 6\\0.6x = 6\)
dividing both sides by 0.6, we have
x = 6/0.6
x = 10
So, the number of seventh-graders that must join the club in order to meet the president's wishes is 10.
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