Mr.Lee invest $8 400 at an annual rate of 8% simple interest. After 10 months , he withdraws all the money. How much money does he recieve ?
Answers
Mr. Lee receives $8,960 when he withdraws all the money after 10 months of investing $8,400 at an annual rate of 8% simple interest.
To calculate the amount Mr. Lee receives, we need to consider the principal amount, the interest rate, and the time period. The formula for calculating simple interest is:
I = P * r * t,
where:
I is the interest,
P is the principal amount,
r is the interest rate, and
t is the time period in years.
Given that Mr. Lee invests $8,400 at an annual rate of 8% simple interest, we need to adjust the time period to reflect 10 months. Since the interest rate is an annual rate, we divide it by 12 to get the monthly interest rate.
Let's calculate the interest first:
I = $8,400 * (8%/12) * (10/12) = $560.
Next, we add the interest to the principal amount to find the total amount received:
Total amount = $8,400 + $560 = $8,960.
Therefore, Mr. Lee receives $8,960 when he withdraws all the money after 10 months of investing $8,400 at an annual rate of 8% simple interest.
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Related Questions
find the area of the shape
Answers
Answer:
787.5
Step-by-step explanation:
23×14=322
A=a+b /2h=15+34 /2·19=465.5
322+465.5=787.5
The table shows the amount of money earned by three brothers doing chores. If Gary and David earned the
same amount of money, how much did Jason earn?
Answers
Answer:
x=12
Step-by-step explanation:
What is the approximate diameter of a sphere with a volume of 34cm to the third power?
A. 5cm
B. 4cm
C. 6cm
D. 2cm
Answers
Answer:
B
Step-by-step explanation:
find an equation of the plane that contains the curve with the given vector equation. r(t) = 6t, sin(t), t 4
Answers
The equation of the plane containing the curve with the vector equation r(t) = 6t, sin(t), t⁴ can be determined by finding two vectors that lie on the plane and taking their cross product.
To find the equation of the plane, we need to find two linearly independent vectors that lie on the plane. Since the given vector equation r(t) = 6t, sin(t), t⁴ represents a curve, we can differentiate it to obtain two vectors tangent to the curve. Taking the derivative of r(t), we have r'(t) = 6, cos(t), 4t³.
Next, we can choose two values of t, plug them into r'(t), and obtain two vectors that lie on the plane. For example, if we let t = 0 and t = 1, we have r'(0) = 6, cos(0), 0 and r'(1) = 6, cos(1), 4. These two vectors are linearly independent and lie on the plane.
Finally, we can take the cross product of the two vectors r'(0) and r'(1) to obtain a normal vector to the plane. The cross product yields a vector (-4cos(1), -24, 6cos(1)). Using this normal vector and a point on the curve (6(0), sin(0), 0⁴), we can write the equation of the plane in the form Ax + By + Cz = D, where A, B, C, and D are the components of the normal vector.
In conclusion, by finding two vectors tangent to the curve, taking their cross product, and using a point on the curve, we can determine the equation of the plane containing the given vector equation.
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FILL IN THE BLANK. an advantage of stem-and-leaf plots compared to most frequency distributions is __________.
Answers
An advantage of stem-and-leaf plots compared to most frequency distributions is that provide more information about the distribution of the data.
How to find the advantage of stem-and-leaf plots?Stem-and-leaf plots offer several advantages over most frequency distributions.
One advantage is that stem-and-leaf plots provide a more detailed representation of the data than frequency distributions.
They allow you to see the individual data values and their magnitudes, which can provide more information about the distribution, such as the spread, central tendency, and outliers.
Additionally, stem-and-leaf plots can be easier to read and interpret than frequency distributions, especially for small data sets.
They can reveal patterns and trends in the data that might not be apparent in a frequency distribution.
Finally, stem-and-leaf plots can be used to compare different data sets or to identify similarities or differences within a single data set.
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Discussion topic
Solving quadratic equations is one of the main topics of this unit. Some quadratic equations can be solved with only one method, some can be solved with multiple methods, and some can't be solved at all. Think about a lask in your daily life that can be accomplished in a variety of ways. How do you decide the best course of action for accomplishing that task? How is this process like choosing a method for solving a quadratic equation that can be solved in multiple ways?
Answers
Factoring, utilizing square roots, completing the square, and the quadratic formula are the four ways to solve a quadratic equations.
What is Quadratic Equation ?An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax² + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term. First, there must be a term other than zero in the coefficient of x² (a ≠ 0) for an equation to be a quadratic equation. The x² term is written first when constructing a quadratic equation in standard form, then the x term, and finally the constant term. The numerical values of a, b, and c are often expressed as integral values rather than fractions or decimals.
Factoring, utilizing square roots, completing the square, and the quadratic formula are the four ways to solve a quadratic problem.
To factor an equation with quadratic terms:
Convert the equation to standard form with a zero on one side.Factor the non-zero sideReset each component to zero (Remember: a product of factors is zero if and only if one or more of the factors is zero).Solve each of the ensuing equations.To learn more about Quadratic Equation refer to :
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correlation analysis helps to identify and develop which of the following: a. k means clustering b. logistic regression c. cause-and-effect modelling d. none of the abov
Answers
The correlation analysis helps to identify and develop
a) k means clustering
K-Means Clustering is the unsupervised learning algorithm that is used to solve the clustering problems in machine learning, artificial intelligence or data science.
It allows us to cluster the data into the different groups and a convenient way to discover the categories of the groups in the unlabeled dataset on its own without the need for any training.
It groups the unlabeled dataset into different clusters. Here K defines the number of the pre-defined clusters that need to be created in the process, as if K=2, there will be two clusters, and for K=3, there will be three clusters, and so on.
Hence, the correct option is a) k means clustering
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Jeremy bought 3.2 pounds of potatoes, 2.3 pounds
of oranges, and 2.7 pounds of onions. How many
pounds does his purchase weigh? What is the answer?
Answers
Answer:
8.2
Step-by-step explanation:
3.2+2.3+2.7=8.2
On a coordinate plane, a curved line with a minimum value of (negative 2.5, negative 12) and a maximum value of (0, negative 3) crosses the x-axis at (negative 4, 0) and crosses the y-axis at (0, negative 3).
Which statement is true about the graphed function?
F(x) < 0 over the interval (–∞, –4)
F(x) < 0 over the interval (–∞, –3)
F(x) > 0 over the interval (–∞, –3)
F(x) > 0 over the interval (–∞, –4)
Answers
The statement that is true about the function is -
D: F(x) > 0 over the interval (-∞, -4)
What is a function?
In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.
Since the curved line has a minimum value of (negative 2.5, negative 12) and a maximum value of (0, negative 3), we know that the function must be decreasing from left to right over the interval from negative infinity to negative 2.5, then increasing from negative 2.5 to 0.
Since the graph crosses the y-axis at (0, negative 3), we know that the function takes the value of negative 3 when x equals 0.
Also, since the graph crosses the x-axis at (negative 4, 0), we know that the function takes the value of 0 when x equals negative 4.
Since the function is decreasing from negative infinity to negative 2.5, and the y-value of the curve is always negative, we know that F(x) < 0 over the interval (-∞, -2.5).
Since the function is increasing from negative 2.5 to 0, and the y-value of the curve is always negative, we know that F(x) < 0 over the interval (-2.5, 0).
Since the function takes the value of negative 3 when x equals 0, we know that F(0) = negative 3, which means that F(x) < 0 over the interval (-∞, 0).
Since the function takes the value of 0 when x equals negative 4, we know that F(-4) = 0, which means that F(x) > 0 over the interval (-∞,-4).
Therefore, F(x) > 0 over the interval (-∞, -4) is true.
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Can someone please help me on this?
Answers
11. in the first round of a knockout tournament involving 32 players, the 32 players are divided into 16 pairs, with each of these pairs then playing a game. the losers of the games are eliminated while the winners go on to the next round, where the process is repeated until only a single player remains. how many possible collective outcomes are there for the first two rounds? outcomes here just give you wins and who loses for each pair playing each other, without referring to the order or games.
Answers
To find the total possible collective outcomes for the first two rounds, simply multiply the possible outcomes of each round: 2^16 * 2^8 = 2^(16+8) = 2^24 possible collective outcomes.
In the first round, there are 16 pairs playing against each other, resulting in 16 winners and 16 losers. In the second round, the 16 winners are paired up again, resulting in 8 winners and 8 losers.
So, there are a total of 16 x 8 = 128 possible collective outcomes for the first two rounds. Each outcome is determined by the combination of 16 winners and 16 losers in the first round, and then the combination of 8 winners and 8 losers in the second round.
In the first round of a knockout tournament involving 32 players, there are 16 pairs playing a game. Each pair has 2 possible outcomes: either player A wins or player B wins. So, there are 2^16 possible collective outcomes for the first round.
For the second round, there are now 16 winners, forming 8 pairs. Each pair still has 2 possible outcomes: either player A wins or player B wins. So, there are 2^8 possible collective outcomes for the second round.
To find the total possible collective outcomes for the first two rounds, simply multiply the possible outcomes of each round: 2^16 * 2^8 = 2^(16+8) = 2^24 possible collective outcomes.
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the temperature is -3 at 6am but it rises to 12 at the afternoon what is the temperature In the afternoon
Answers
Answer:
1cm divided by 17 = 32 then subtract the 32 into 17
Kailey and Justin both hire tutors for math and pay them per hour. After tutoring 8.5 hours, Justin pays his
tutor $242.25. The table below shows how much Kailey paid her tutor.
Which person paid more for tutoring and by how much?
Answers
Answer:
(A) kailey paid $3.50 more per hour
Answer:
kailey paid $3.50 more per hour
Step-by-step explanation:
What is the equation of the line that passes through the point (-4,-3)(−4,−3) and has a slope of -3/4
Answers
The equation of the line is y = -(3/4)x - 6.
What is a line?A line is a perfectly straight, one-dimensional shape that extends endlessly in both directions and has no thickness.
Given that, the line passes through the points (-4,-3) and has a slope of -3/4.
The equation of the line in point-slope form is:
y - y₁= m (x -x ₁)
Substitute (x₁,y₁) = (-4,-3) and m = -3/4 into the above equation,
y - (-3) = -3/4 (x - (-4))
y + 3 = -3/4 (x + 4)
y = -(3/4)x -3 -3
y = -(3/4)x - 6
Hence, the equation of the line is y = -(3/4)x - 6.
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Find the diameter of a circle with a circumference of 443 feet. Use 3.14 for pi
143
21
7
5
and if you can go answer my other questions????? plzzz
Answers
Which of the following is an irrational number?
Answers
Answer:
\(\large\boxed{\mathtt{7.\bar{4}}}\)
Step-by-step explanation:
\(\textsf{We are asked to identify the rational number out of given options.}\)
\(\textsf{First, let's review what a rational number is.}\)
\(\large\underline{\textsf{What is a Rational Number?}}\)\(\textsf{A Rational Number is a number that terminates.}\)
\(\textsf{A Rational Number is also any number that can be represented as a fraction.}\)
\(\textsf{Let's identify if our given options are Rational Numbers.}\)
\(\mathtt{\sqrt{60} = 7.74.... (Irrational)}\)
\(\mathtt{7.\bar{4} = 7 \frac{4}{9} \ (Rational) \ \checkmark}\)
\(\mathtt{\sqrt{29} = 5.38.... \ (Irrational)}\)
\(\mathtt{\pi = 3.14159.... \ (Irrational)}\)
\(\sqrt{60} , \sqrt{29} , \textsf{and} \ \pi \textsf{ are irrational due to the decimals never terminating.}\)
\(\textsf{Hence, our final answer is}\) \(\mathtt{7.\bar{4}.}\)
What is 29 divided by 0174620
Answers
0.0001660749
29÷0174620= 0.0001660749
hope this helped you- have a good day bro cya)
Answer:166.0749055091055
My siblings and I are a fierce squad of 4. We stand up for each other, always. We each want 7 halves of a YumYum cupcake
Answers
Using mathematical operations, the quantity of YumYum cupcakes required by my siblings and 1, with each wanting 7 halves of it, is 14 cupcakes.
How the quantity is determined:The total quantity of cupcakes required by the 4 siblings can be determined using the mathematical operations of division and multiplication.
Division operation consists of the dividend, the divisor, and the quotient while multiplication involves the multiplier, the multiplicand, and the product.
The number of siblings = 4
The quantity of YumYum cupcakes required by each = 7 halves
7 halves = 3.5 (7 ÷ 2)
Thus, since each sibling requires 3.5 cupcakes, using mathematical operations, the total quantity = 14 cupcakes (3.5 x 4)
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Question Completion:What is the total quantity of YumYum cupcakes required?
Determine the common ratio and find the next three terms of the geometric sequence. 8, -20, 50, ... a. -2.5; -125, 312.5, -781.25 c. 2.5; -125, 312.5, -781.25 b. -2.5; -70, 240.6, -642.85 d. 2.5; -70, 240.6, -642.85
Answers
Answer:
The common ratio is -2.5
The next three terms are;
-125, 312.5 and -781.25
Step-by-step explanation:
Here, firstly we want to determine the common ratio
To
do this, we have to divide the succeeding term by the preceding term
We have this as;
50/-20 = -20/8 = -2.5
Now, to get the next terms,
we multiply the given last term by the common ratio
That will be;
50 * -2.5 = -125
next is to multiply this by the common ratio
That will be;
-125 * -2.5 = 312.5
And lastly, we have
312.5 * -2.5 = -781.25
Answer:
The Answer Is A.
Step-by-step explanation:
HELP
The average human body temperature is 98.6° F, but it can vary by as much as 1.8° F. Write an inequality to represent the normal temperature range of the human body, where t represents body temperature.
|t − 1.8| ≥ 98.6
|t − 1.8| ≤ 98.6
|t − 98.6| ≥ 1.8
|t − 98.6| ≤ 1.8
Answers
The inequality which is used to represent normal "temperature-range" for "human-body", is (d) |t − 98.6| ≤ 1.8.
The "average-temperature" of body is = 98.6° F, and it can vary by 1.8°F.
The inequality |t − 98.6| ≤ 1.8 indicates that the absolute difference between the body temperature and the average temperature is less than or equal to 1.8° F.
This means that the body temperature t can vary within a range of 1.8° F from the average temperature of 98.6° F.
Which means, the temperature cam range from :
⇒ 98.6-1.8 ≤ t ≤ 98.6+1.8,
⇒ 96.8 ≤ t ≤ 100.4;
Therefore, the correct inequality is (d) |t − 98.6| ≤ 1.8.
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The given question is incomplete, the complete question is
The average human body temperature is 98.6° F, but it can vary by as much as 1.8° F. Write an inequality to represent the normal temperature range of the human body, where t represents body temperature.
(a) |t − 1.8| ≥ 98.6
(b) |t − 1.8| ≤ 98.6
(c) |t − 98.6| ≥ 1.8
(d) |t − 98.6| ≤ 1.8
Answer: |t − 98.6| ≤ 1.8
Step-by-step explanation: If takes then takes then takes then takes then takes.
the interest paid on a $8,000 loan is $600, a rate of 4%
how many years did it take to pay back the loan? round to 1 decimal.
Answers
It took 1.9 years to pay back the loan.
What is Interest ?Interest is the amount of money given or received when a certain sum of amount is received as a loan or given or deposited for investment.
It is given that
Principal amount of loan = $ 8000
Interest paid = $ 600
Rate = 4%
Time Period = ?
Assuming Simple Interest has been applied
I = ( P* R* T) /100
600 = ( 8000 * 4 * T ) / 100
60000 = 8000 * 4 * T
T = 1.875 years
T = 1.9 years rounded to 1 decimal
T = 22.5 months
Therefore it took 1.9 years to pay back the loan.
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can u please help!!!
Answers
Answer:
Aw, it doesn't let me see the picture... can you explain it and what we are supposed to find?
Step-by-step explanation:
PLEASE HELP I WILL GIVE BRAINLIEST TO THE FASTEST ANSWER
Simplify. √2x (7 + √2x)
Answers
Answer:
Your answer : x1= 0
x2=-4.95
Mark my answer as brainlist.
The Spanish club sold hot pretzels as a fundraiser. The pretzels normally sold for $2.00, but near the end of the sale the price was reduced by 25%. What was the new price for a hot pretzel?
Answers
A circle has a diameter of 42 inches. What is
the circumference of the circle? Use ?? for it.
(A) 33 inches
© 132 inches
D 264 inches
(B) 66 inches
Answers
Answer: C. 132 inches
Step-by-step explanation: Find the radius- 42/2=21 then use the formula C=2πR
Q5... Lids has obtained 23.75% of the
cap market in Ontario. If Lids sold 2600 caps last month, how many
caps were sold in Ontario in total last month? Round up the final
answer. (1 mark)
Answers
The total number of caps sold in Ontario last month is approximately 10948 caps (rounded up).
Given that Lids has obtained 23.75% of the cap market in Ontario and it sold 2600 caps last month. Let us calculate the total caps sold in Ontario last month as follows:
Let the total caps sold in Ontario be x capsLids has obtained 23.75% of the cap market in Ontario which means the percentage of the market Lids has not covered is (100 - 23.75)% = 76.25%.
The 76.25% of the cap market is represented as 76.25/100, hence, the caps sold in the market not covered by Lids is:
76.25/100 × x = 0.7625 x
The total number of caps sold in Ontario is equal to the sum of the number of caps sold by Lids and the number of caps sold in the market not covered by Lids, that is:
x = 2600 + 0.7625 x
Simplifying the equation by subtracting 0.7625x from both sides, we get;0.2375x = 2600
Dividing both sides by 0.2375, we obtain:
x = 2600 / 0.2375x
= 10947.37 ≈ 10948
Therefore, the total number of caps sold in Ontario last month is approximately 10948 caps (rounded up).Answer: 10948
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The graph of a function is shown below. What is its range?
O (1, 2, 4)
O (1, 2, 3, 5)
O All real numbers.
O (1, 2, 3, 4)
Answers
(1,2,4)
Step-by-step explanation:Range describes the y-values of a graph.
Range
Range is the y-values that a graph covers. Remember that the y-values are found on the vertical axis. If the graph is not continuous, then the values between the points are not included in the range. Similar to the range, the domain of a graph is the x-values that a graph covers. If there is a coordinate point with a y-value, then that y-value should be included in the range.
Finding Range
In order to find the range, we need to find all the unique y-values of the graph. Additionally, the range is given in numerical order. This means starting from the least value and going up to the greatest. The lowest y-value is 1, then 2, and finally 4. Even though there are two points where y = 2, we are only looking for unique values. This means that the range is (1,2,4).
Choose an acre of land in Canada at random. The probability is 0.38 that it is forest and 0.07 that it is agricultural. What is the probability that the acre chosen is not forested? Enter your answer to two decimal places. probability: What is the probability that it is either forest or agricultural? Enter your answer to two decimal places probability: IS We provar a randomly chosen acre in Canada is something other than forest or agricultural? Enter your answer to two decimal places. probability:
Answers
Probability of chosen the acre of land as per given conditions are as follow:
a. Probability of chosen the acre of land not forested is 0.62.
b. Probability of chosen the acre of land either forest or agriculture is 0.45.
c. Probability of chosen the acre of land other than forest or agriculture is non-forested which is equal to 0.62.
As given in the question,
Given probability are:
Probability of chosen the acre of land is forest is equal to 0.38.
Probability of chosen the acre of land is agriculture is equal to 0.07.
Probability of chosen the acre of land as per given conditions are as follow:
a. Let P(A) represents the probability of chosen the acre of land is forest.
Then P(A') is the probability of not forested.
P(A) + P(A') = 1
⇒0.38 + P(A') = 1
⇒ P(A') = 1 - 0.38
⇒ P(A') = 0.62
b. Let P(G) is the probability of chosen acre of land agricultural.
No common land given for forest or agriculture, they are independent events.
P(A∩G) = 0
Probability of chosen the acre of land either forest or agriculture
= P( A or G)
= P(A) + P(G) - P(A∩G)
= 0.38 + 0.07 -0
= 0.45
c. Probability of chosen the acre of land other than forest or agriculture is non-forested which is equal to 0.62.
Therefore, probability of chosen the acre of land as per given conditions are as follow:
a. Probability of chosen the acre of land not forested is 0.62.
b. Probability of chosen the acre of land either forest or agriculture is 0.45.
c. Probability of chosen the acre of land other than forest or agriculture is non-forested which is equal to 0.62.
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A taxi company charges a fixed hire fee (which is a whole number of dollars) plus a rate for each
kilometer (which is a multiple of 10¢ and more than the set national minimum rate of $1.75),
rounded up to the nearest kilometer.
Maira’s last journey cost $37.90, but she does not know how far it was, or what the fixed hire fee
is. She wants to know how far the journey was.
She has a previous bill from the same taxi company, for a different journey, for $21.80.
How far was her last journey?
Answers
Answer:
362 kilometre
Step-by-step explanation:
Let a be the total cost of a journey
let b represent the total distance of a journey
$1.75 is a fixed charge of a journey
the additional charge is $0.10 for b distance ,hence total of additional charge is $.10 multiplied by b i.e 0.1 b
a=1.75+0.1b
a =37.90
37.90=1.75+0.1b
0.1b=37.90-1.75
0.1 b=36.15
b=36.15 /0.10
b=361.5
b=362 kilometre
For the journey that cost 21.80
21.80=1.75+0.1 b
0.1 b=21.80-1.75
0.1 b=20.05
b=20.05 /0.1
b=200.5
b =201 kilometre
The population of a certain species of insects in a nearby farm increases exponentially according to themodel, () = 1840^0.145where P is the number of insects and t is the time in weeks since the originalcolony settled in the farm.A. Find the number of insects in the original colony that settled in the farm.B. Find the rate of increase of the insect population for each week that passed by.C. How many insects would you expect to be in the colony after 16 weeks if the population growthfollows the model? Round off to the nearest whole number.D How long will it take for the population to reach 12000
Answers
Continuous Exponential Model
It's an equation that models the growth of a certain variable in time. If P(t) is the number of insects in a colony at a time t, and Po is the initial number of insects of the colony, then the model can be written as:
\(P(t)=P_oe^{kt}\)Where k is the growth rate.
We are given the model equation:
\(P(t)=1840e^{0.145t}\)Where the time is in weeks.
A. This corresponds to an original number of insects of Po = 1840
B. The rate of increase can also be determined with the equation. k = 0.145. This corresponds to a rate of 14.5% each week.
C. Now we find the number of insects for t = 16:
\(\begin{gathered} P(16)=1840e^{0.145*16} \\ Calculating: \\ P(16)=1840e^{2.32} \\ P(16)=18723 \end{gathered}\)It's expected to be 18723 insects in the colony after 16 weeks.
D. For the colony to have 12000 insects, we need to solve the equation:
\(1840e^{0.145t}=12000\)\(1840e^{0.145t}=12000\)Dividing by 1840:
\(e^{0.145t}=\frac{12000}{1840}\)Applying logs on each side:
\(0.145t=\log\frac{12000}{1840}\)Dividing by 0.145:
\(t=\frac{\log\frac{12000}{1840}}{0.145}\)Calculating:
t ≈ 13 weeks
It will take approximately 13 weeks for the population to reach 12000