Mr. Abbas has bought a Villa in Saar recently for 80,000 BD. He wants to sell it at a 40% profit. House prices are projected to rise on average by 7% a year.
i) How many years will Mr. Abbas have to wait before selling?
Answers
The 80,000 BD Villa in Saar Mr. Abbas plans to sell at a 40% profit , with the annual house price growth rate of 7% (compounded) gives the number of years Mr. Abbas has to wait as approximately 5 years
What is the growth rate on an value?The growth rate is the rate at which the value changes within a specified period.
The amount Mr. Abbas bought the Villar in Saar = 80,000 BD
The profit at which he intends to sell it = 40% = 0.4
The rate at which the house prices rise on average = 7 % per annum
The formula for future value, FV is presented as follows;
\(FV = PV\cdot \left(1+\dfrac{r}{100} \right)^n\)
Where;
FV = The future value = 80,000 BD + 0.4 × 80,000 BD = 112,000 BD
PV = The present value = 80,000 BD
r = The rate at which the house prices increases annually
n = The number of years
Which gives;
\(112,000 = 80,000\cdot \left(1+\dfrac{7}{100} \right)^n\)
\(n = \dfrac{ln\left(\dfrac{112,000 }{80,000}\right) }{ln\left(1+\dfrac{7}{100} \right) } \approx 5\)
The number of years Mr. Abbas has to to wait, n ≈ 5 years
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Related Questions
Which numbers are perfect squares? Determine their square roots. 5 20 16 49 100 1000 *
Answers
Answer:
16, 49 and 100 are perfect squares.
Step-by-step explanation:
√16 = 4
√49 = 7
√100 = 10
What will be the result of substituting 2 for x in both expressions below?
+4
x+6-x-2
O Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.
O Both expressions equal 6 when substituting 2 for x because the expressions are equivalent.
O One expression equals 5 when substituting 2 for x, and the other equals 2 because the expressions are not
equivalent.
One expression equals 6 when substituting 2 for x, and the other equals 2 because the expressions are not
equivalent.
Answers
Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.
Equivalent Algebraic expressions:Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.
Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.
For example, d + d = 2d
This is an example of an algebraic expressionns.
Given the algebraic expressions,
\(\frac{1}{2}x + 4 \\ x + 6 - \frac{1}{2}x - 2\)
Substituting 2 for x in the first expression gives:
(1/2 × 2) + 4
1 + 4
5
Substituting 2 for x in the second expression gives:
2 + 6 - (1/2 ×2) - 2
8 - 1 - 2
8 - 3
5
Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.
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Andrew sold 45 tickets to the school play and Sara sold 60 tickets. Which of the following is equivalent to the ratio of the number of tickets Andrew sold to the number of tickets Sara sold?
Answers
Answer:
3:4
Step-by-step explanation:
Since Andrew sold 45 tickets and Sara sold 60 tickets you can find out that the highest number they can be divided by is 15. Once you divide each by 15 you get this: 3:4 You can check the answer by multiplying both numbers by 15 and you will see that you get 45:60 which was the simplified equation.
What Income tax should be on 400 naira at the rate of 2¹/2 kobo per Naira? A. 2 Naira B. 4 Naira C. 5 Naira D. 10 Naira E. 15 Naira
Answers
Step-by-step explanation:
A. Hawa Enterprise is a small retail business located in Changlun, Kedah. Follows are information on bank transactions of Hawa Enterprise as at 31 July 2022:
a. Cash on the book was RM34,635.
b. Cash as shown on the bank statement was RM35,296.
c. A deposit of RM3,500, representing cash receipts on 31 July, did not appear on the bank statement.
d. Outstanding cheque include cheques No 2031, No 2558, and No 2783 with the amount respectively RM530, RM1,551 and RM2,100.
e. The bank collected RM810 on a note receivable for Hawa Enterprise. The bank charged a collection fee of RM10 which was credited to Hawa Enterprise’s account.
f. An NSF cheque for RM950 from a customer, En Mansor, was returned with the bank statement.
g. The bank paid correctly an amount of RM3,680 for cheque No 2805 which was recorded in a book as RM3,860. h. Bank service charges for July 2022 amounted to RM50.
REQUIRED:
Prepare the bank reconciliation statement for Hawa Enterprise as at 31 July 2022.
B. Beginning July 2022, Hawa Enterprise has established a petty cash fund for its small expenditures. The following transactions took place during the month of July:
5/7 Established a RM300 petty cash fund with cash withdrawn from the company’s current account.
30/7 The petty cash fund has RM12 remaining and is replenished. Expenditures for July were RM75 for supplies, RM60 (meals), RM80 (postage), RM50 (amenities) and RM25 (freight-in).
REQUIRED:
Prepare the journal entries for the above transactions.
The graph shows Felix's English scores versus the number of hours he studies:
What will Felix's English scores most likely be if he spends 7 hours a week studying English?
a 64 points
b 72 points
c 84 points
d 92 points
Answers
Felix's English score would be around 72 points if he spends 7 hours a week studying English.
the answer is option b, 72 points.
What is a graph of an equation?
A graph of an equation is a visual representation of the relationship between the variables in that equation. In mathematics, an equation typically involves one or more variables, and the graph of that equation shows how the value of one variable changes as the value of another variable change.
Look at the horizontal axis of the graph to find the point that corresponds to 7 hours of studying per week. In this case, it is approximately halfway between 6 and 8, so we can estimate it to be around 7.
From that point, draw a vertical line up to the graph to find the corresponding English score.
Follow the line until it intersects with the blue line representing Felix's English scores.
From that intersection point, draw a horizontal line over to the y-axis to read the corresponding score.
Based on this analysis, we can estimate that Felix's English score would be around 72 points if he spends 7 hours a week studying English.
Therefore, Felix's English score would be around 72 points if he spends 7 hours a week studying English.
the answer is option b, 72 points.
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Hannah weighed 7.2 pounds at birth. Her weight was recorded at each of her infant doctor visits. The records from her appointments from birth to six months are shown in the table below.
1. Find the line of best fit:
2. Estimate Hannah's weight at her one-year visit:
Answers
8.7(what she put on during the six months)+ 15.9 (her weight now)= 24.6
Answer: I estimate she will weigh 24.6lb at her one year visit
Hope this helps
Answer: 1. Is 6 2. Is 24.6
Step-by-step explanation:
please help me i really need help please help me
Answers
9514 1404 393
Answer:
735.6 in³
Step-by-step explanation:
The formula for the volume of a sphere is ...
V = 4/3πr³ . . . . where r is the radius
The radius is half the diameter, so we can write this in terms of diameter as ...
V = (4/3)π(d/2)³ = (π/6)d³
Using the given diameter, the volume is ...
V = (π/6)(11.2 in)³ ≈ 735.6186 in³
The volume is about 735.6 cubic inches.
if a coin is flipped 35 times and lands on heads 21 times what is the relative frequency of Landing on heads
Answers
Work Shown:
21/35 = (7*3)/(7*5) = 3/5
Hunter measured the middle school and made a scale drawing. The scale he used was 1 inch : 10 feet. The gym is 7 inches wide in the drawing. How wide is the actual gym?
Answers
Answer:
70 ft
Step-by-step explanation:
You want the actual width of a gym that is represented as 7 inches on a drawing with a scale of 1 in : 10 ft.
Scale factorEach inch represents 10 feet, so 7 inches will represent ...
7 × 10 ft = 70 ft
The gym is 70 ft wide.
__
Additional comment
You can also write and solve an equation that shows the measures are proportional:
actual width / drawing width = (10 ft) / (1 in) = (gym width) / (7 in)
Multiplying both sides of this proportion by 7 in, we have ...
gym width = (7 in) × (10 ft)/(1 in) = 7 × 10 ft = 70 ft
Determine the volume of a sphere with a great circle of radius 12 cm. Question 20 options: A) 3,216.9 cm3 B) 1,024 cm3 C) 7,238.2 cm3 D) 21,714.7 cm3
Answers
Greetings from Brasil...
The volume of a sphere is given by the expression:
V = (4πR³)/3where R = radius
So
V = (4πR³)/3
V = (4.π.12³)/3
V = (4.π.1728)/3
V = 6912π/3
V = 2304π cm³or
V = 7,238.23cm³
The cost that a recycling company charges is directly proportional to the number of recycling bins collected. The cost is $33 for each bin.
A: Write a direct variation equation to represent the cost.
B: How many bins can a customer pay the company to collect the bins for $500? Write and solve the equation.
C: Suppose the customer plans to tip the recycling company $30, how many bins can the customer get removed for $500 now? Write and solve the equation.
Answers
a) The direct variation equation is y = 33x.
b) The customer can pay the company to collect 15 bins.
c) The customer can get approximately 16 bins (rounded to the nearest whole number) removed for $500 with a $30 tip included.
A) The direct variation equation to represent the cost would be y = kx, where y represents the cost, x represents the number of bins collected, and k is the constant of proportionality. In this case, since the cost is $33 for each bin collected, the value of k is 33. Therefore, the direct variation equation is y = 33x.
B) To find the number of bins a customer can pay the company to collect for $500, we can set the cost (y) equal to $500 and solve for x (the number of bins). Thus, we have:
y = 33x
500 = 33x
x = 500/33
x ≈ 15.15
Therefore, the customer can pay the company to collect 15 bins (rounded to the nearest whole number) for $500.
C) If the customer plans to tip the recycling company $30, the total cost would be $500 + $30 = $530. We can set the cost (y) equal to $530 and solve for x:
y = 33x + 30
530 = 33x + 30
500 = 33x
x ≈ 15.91
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Out of 6,000 people, 4,500 said they spend over 20 hours per week on their phones. Construct a 75% confidence interval for the population mean of people that spend over 20 hours per week on their phones.
CI = (73.98%, 75.54%)
CI = (74.36%, 75.64%)
CI = (73.23%, 75.01%)
CI = (74.01%, 75.92%)
Answers
Using the z-distribution, as we are working with a proportion, it is found that the 75% confidence interval for the population mean of people that spend over 20 hours per week on their phones is given by:
CI = (74.36%, 75.64%).
What is a confidence interval of proportions?A confidence interval of proportions is given by:
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which:
\(\pi\) is the sample proportion.z is the critical value.n is the sample size.In this problem, the parameters are:
\(n = 6000, \pi = \frac{4500}{6000} = 0.75, z = 1.15\)
The lower limit of this interval is:
\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 - 1.15\sqrt{\frac{0.75(0.25)}{6000}} = 0.7436\)
The upper limit of this interval is:
\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 + 1.15\sqrt{\frac{0.75(0.25)}{6000}} = 0.7564\)
Using percentages, the interval is given by:
CI = (74.36%, 75.64%).
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can someone explain to me how to solve this -3d< -18
Answers
To solve
\(-3d<-18\)First we have to multiply both sides by -1. This operation flips the inequation sign (not if you multiply by a positive number.
\(3d>18\)And now we divide both sides by 3. Since it's positive, the inequation sign doesn't change.
\(\frac{3}{3}d>\frac{18}{3}\)And solve the fractions:
\(d>6\)Four more than three times a number is greater than twenty-two.
and please solve.
Answers
Answer:
3x + 4>22 or x>6
Step-by-step explanation:
four more = +4
three times a number = 3(x)
greater than twenty two = >22
so
3x + 4 > 22
that's the equation now if it were to be solved
3x + 4 > 22
-4 -4
3x > 18
/3 /3
x > 6
Convert 0.45 to a percent. Remember to add the percent sign.
0.45%
4.5%
45%
50%
Answers
Answer:
45%
Step-by-step explanation:
Solve by fully factoring the polynomial:
10x³40x² + 40x = 0
Answers
The solutions to the given Polynomial equation by fully factoring the polynomial; 10x³ + 40x² + 40x = 0 is; x = 0; x = -2.
What are the solutions for the given polynomial equation?It follows from the task content that the solutions for the given polynomial equation; 10x³ + 40x² + 40x = 0 are to be determined.
On this note, since the given equation is; 10x³ + 40x² + 40x = 0
By factorisation; we have;
10x ( x² + 4x + 4 ) = 0
By fully factorising; we therefore have;
10x (x + 2) (x + 2) = 0
On this note, the solutions to the given equation are; x = 0 and x = -2.
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what is inequalities
Answers
Inequalities are used in various branches of mathematics, as well as in real-world applications such as economics, physics, and social sciences, to describe relationships, make comparisons, and analyze data.
Inequalities are mathematical statements that describe a relationship between two values or expressions, indicating that one is greater than, less than, or not equal to the other. Inequalities are used to compare quantities and express their relative sizes or order.
The most common symbols used in inequalities are:
">" (greater than): indicates that the value on the left side is larger than the value on the right side.
"<" (less than): indicates that the value on the left side is smaller than the value on the right side.
"≥" (greater than or equal to): indicates that the value on the left side is greater than or equal to the value on the right side.
"≤" (less than or equal to): indicates that the value on the left side is less than or equal to the value on the right side.
"≠" (not equal to): indicates that the values on both sides are not equal.
Inequalities can be represented using variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. Solutions to inequalities are often expressed as intervals or sets of values that satisfy the given inequality.
Inequalities are used in various branches of mathematics, as well as in real-world applications such as economics, physics, and social sciences, to describe relationships, make comparisons, and analyze data.
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I WILL GIVE YOU BRAINLY
Answers
Answer:
b
Step-by-step explanation:
Basically the line in the centers of each are obviously not lined up, so they cant be the same, A is out, it looks to be about 6 points lower. B stays as a choice, Class A's median score is obviously lower than Class B's, as the line in the box is further behind. So C is out, and Class B's line, lines up with 85, not 70
Answer:
b
Step-by-step explanation:
enjoy
Adrian wants to purchase an electric keyboard. The price of the keyboard at Macelli’s, with tax, is $2,400. He can save $150 per month. How long will it take him to save for the keyboard? (round to a full month).
Answers
It will take Adrian 16 full months to save enough money for the electric keyboard.
- Price of the keyboard (with tax) at Macelli's: $2,400
- Adrian's monthly savings: $150
We need to find how long it will take Adrian to save for the keyboard. To do this, we'll divide the total cost of the keyboard by his monthly savings and round up to the nearest full month.
Step 1: Divide the total cost by monthly savings.
Time (in months) = (Total Cost) / (Monthly Savings) = ($2,400) / ($150)
Step 2: Calculate the result.
Time (in months) = 16
So, it will take Adrian 16 full months to save enough money for the electric keyboard.
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The four tables below show relationships in which the x values represent inputs and the y values represent the corresponding
outputs.
R
s
T
y
re
y
y
3
-2
-5
-2
3
4
1
3
2
4
1
3
4
5
3
-3
3
7
3
3
3
4
S
3
4
10
5
3
4
-5
Which table represents a relationship that is not a function?
a e
b. R
c. S
d. T
Answers
Answer:
T
Step-by-step explanation:
Has more than one x for a given y.
Help will be appreciated I need help with math
Answers
4. (0,-14)
5. (14,0)
6. (0,0)
Is this answer right?
Answers
Answer:
Step-by-step explanation:
yes!
find the equation of the line through point (4,-7) and parallel to y = -2/3x + 3/2.
Answers
Answer:
y = -2/3 x - 13/3
Step-by-step explanation:
y = -2/3 x + 3/2
y = mx + b
m = -2/3
The slope of the given line is -2/3. Parallel lines have equal slopes, so our line also has slope -2/3.
m = -2/3
y = mx + b
y = -2/3 x + b
Substitute the given point for x and y and solve for b.
-7 = -2/3 (4) + b
-21/3 = -8/3 + b
b = -13/3
Answer: y = -2/3 x - 13/3
An engineer is monitoring the liquid level in two tanks as they are being filled. The volume of the tank A after x minutes is represented by the equation y=75x +110. For tank B the engineer has created a table, shown below, from measurements taken while the tank is being filled
Answers
The two tanks differ in terms of Filling rates and initial volumes.
We can work with the equation for tank A, which represents a linear relationship between the volume of liquid in the tank (y) and the time it has been filling (x).
The equation y = 75x + 110 tells us that the tank A is filling at a constant rate of 75 units per minute, starting with an initial volume of 110 units.
To analyze the data for tank B, we would need to know the volumes of the tank at different times as it is being filled.
If the relationship for tank B is also linear, we could find the equation that represents it by using two points from the table and the slope-intercept form of a linear equation (y = mx + b). Once we have both equations, we can compare them to see how the two tanks differ in terms of filling rates and initial volumes.
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The points on the graph represent both an exponential function and a linear function.
Complete this table by reading the values from the graph. Estimate any function values that are less than one.
x -3 -2 -1 0 1 2 3
Exponential function _____ _____ _____ _____ _____ _____ _____
Linear function _____ _____ _____ _____ _____ _____ _____
At approximately what values of x do both the linear and exponential functions have the same value for y?
Answers
We are given two curves on a graph paper and we have to find the y values for the given x.
From the graph we can check for a value of x, what is the value of y from the curve.
x -3 -2 -1 0 1 2 3
Exp 8 4 2 1 0.5 0.25 0.125
Lin. 7.5 6 4.5 3 1.5 0 -1.5
We find that the two have the same values where the two curves intersect.
From the graph we find that near to -3 and near to 2 both have the same values.
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The missing graph is attached below.
An IQ test is designed so that the mean is 100 and the standard deviation is 15 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of the residents of a state if you want to be 95% confident that the sample mean is within 4 IQ points of the true mean.
What is the required sample size?
Answers
Answer:
55
Step-by-step explanation:
\(\displaystyle MOE = z\biggr(\frac{\sigma}{\sqrt{n}}\biggr)\\\\4=1.96\biggr(\frac{15}{\sqrt{n}}\biggr)\\\\4=\frac{29.4}{\sqrt{n}}\\\\\sqrt{n}=\frac{29.4}{4}\\\\\sqrt{n}=7.35\\\\n=54.0225\\\\n\approx55\uparrow\)
Make sure to always round up the required sample size to the nearest integer!
What is the measure of ZL?
Enter your answer in the box. Round only your final answer to
the nearest hundredth.
m/L=
18 in.
М'
60 in.
N
Answers
Angle L's in the triangle LMN is,
⇒ L = 72.54°
We have to given that;
A triangle LMN is shown in figure.
And, The sides are,
Since, We know that;
A triangle is a three-sided polygon with three vertices, three angles that add up to 180 degrees, and three sides.
Since, We know that;
⇒ sin L = Opposite / Hypotenuse
And, cos L = Base / Hypotenuse
Two rays after combined into an angle have a single terminal. And, latter is known as the vertex of the angle, and the rays are known as its sides, occasionally as its legs, and occasionally as its arms.
Now, We can use trigonometry formula to find the value of angle l we get;
⇒ sin L = Opposite / Hypotenuse
⇒ sin L = LM / LN
⇒ sin L = 18/60
Taking arc sin both side, we get;
⇒ L = 72.54°
Therefore, The value of measure of angle L is triangle LMN is,
⇒ L = 72.54°
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what is the output of the pseudocode below if the variables declared in the main program are global? main declare x as integer, y as integer set x
Answers
The output of the variables declared in the main
pseudocode below if the program are global is X as Integer, Y as Set Y = 2 =[5, 14]
Main
Integer
Set X = 1
Call Sub(X,Y) Write X
Write Y
End Program
Subprogram Sub(Integer Numl, Set Num2 = 4
Integer Num2 as Reference) Declare X as Integer
Set Num1 = 3
Set X = 5
Write X
End Subprogram
Definition of PseudocodePseudocode is an informal and concise high-level description of a computer programming algorithm that uses the structural conventions of a programming language for the purpose of being read by humans and not machines.
The term pseudocode itself is taken from 'pseudo' which means fake, imitation, similar, or resembling the original. In short, pseudocode is code that is similar to a real programming language but easier to read and understand.
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The factored form of 5 x squared minus 18 x minus 8 is __________
Answers
The factored form is (5x+2)(x-4).
What is factorization?
A number, matrix, or polynomial may be broken up or decomposed into factors that, when multiplied together, produce the original number, matrix, etc. This process is known as factorization or factoring.
Here, we have
Given: 5 x squared minus 18 x minus 8
we have to find the factored form.
= 5x² - 18x - 8
= 5x² - 20x + 2x - 8
= 5x(x-4) + 2(x-4)
= (5x+2)(x-4)
Hence, the factored form is (5x+2)(x-4).
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If DE =11 and CE =27, what is CD?
Answers
Answer:
16
Step-by-step explanation:
Subtract DE from CE and you will get the value of CD
27 - 11 = 16