[25 points]
Lisa bought a house
The value of the house increased by 1. 5% each year for 2 years.
At the end of 2 years, the value of the house was £123,627.
Work out the value of the house when Lisa bought it.
£?
Answers
The value of the house when Lisa bought it was £116,000 if the value of the house increased by 1.
To find the value of the house when Lisa bought it, we need to work backward from the end value after 2 years of a 1.5% increase each year. Here's how we can approach the problem:
Let x be the value of the house when Lisa bought it. After one year, the value of the house will be 1.015x (an increase of 1.5%). After two years, the value will be 1.015(1.015x) = 1.015² x.
We are given that the value of the house at the end of two years is £123,627, so we can set up an equation:
1.015² x = 123627
Solving for x, we get:
x = 123627/1.015² = £116,000.
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Related Questions
Twenty-four is ___% of 80
Answers
Answer:
30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
i really don't have a method for this, just try a number you think is close, go up, or down depending on the number
The Cohen family uses up a 1/2 -gallon jug of milk every 3 days. At what rate do they drink milk?
Answers
Answer:
1 gallon every 6 days
Step-by-step explanation:
To obtain a whole-number ratio, we multiply the 1/2 gallon by two. Since we are doing that, we should multiply the 3 days by two also.
If P (A)=0.6, P (B) = 0.6, and P (A and B)= 0.42, find P (A or B). P(A or B) = = x 5
Answers
The probability of event A or event B occurring, P(A or B), is 0.78.
To find the probability of the union of events A or B, denoted as P(A or B), we can use the formula:
P(A or B) = P(A) + P(B) - P(A and B)
Given that P(A) = 0.6, P(B) = 0.6, and P(A and B) = 0.42, we can substitute these values into the formula:
P(A or B) = 0.6 + 0.6 - 0.42
= 1.2 - 0.42
= 0.78
Therefore, the probability of event A or event B occurring, P(A or B), is 0.78.
To calculate P(A or B) x 5, we multiply the result by 5:
P(A or B) x 5 = 0.78 x 5 = 3.9
Therefore, P(A or B) x 5 is equal to 3.9.
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A test requires that you answer either part A or part B. Part A consists of 9 true-false questions, and part B consists of 4 multiple-choice questions with one correct answer out of four. How many different completed answer sheets are possible
Answers
There are 131,072 different completed answer sheets possible for this test.
To calculate the number of possible completed answer sheets, we need to add the number of possible answer sheets for part A and part B.
Part A has 9 true-false questions, so each question has 2 possible answers (true or false).
Thus, there are 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 2⁹ = 512 possible ways to complete part A.
Part B has 4 multiple-choice questions, and each question has 4 possible answers.
Thus, there are 4 × 4 × 4 × 4 = 4⁴ = 256 possible ways to complete part B.
To get the total number of possible completed answer sheets, we need to multiply the number of possible answer sheets for part A and part B:
512 × 256 = 131,072
Therefore, there are 131,072 different completed answer sheets possible for this test.
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Use a parametrization to express the area of the surface as a double integral. Then evaluate the integral. The portion of the cylinder x² + y² = 9 between the planes z = 5 and z = 9 Let u z and v=and use cylindrical coordinates to parameterize the surface. Set up the double integral to find the surface area. ∫ ∫ ___ du dv (Type exact answers.) After evaluating the double integral, the surface area is _____
(Type an exact answer in terms of π)
Answers
The surface area of the portion of the cylinder x² + y² = 9 between the planes z = 5 and z = 9 can be expressed as a double integral using a parametrization in cylindrical coordinates. Let u = θ and v = z, where θ represents the angular coordinate and z represents the vertical coordinate.
To set up the double integral, we need to determine the limits of integration for u and v. Since we are considering the portion of the cylinder between the planes z = 5 and z = 9, the limits for v are from 5 to 9. For u, we can choose the limits to cover the full circumference of the cylinder, so u ranges from 0 to 2π.
The double integral is then expressed as ∫∫R f(u, v) du dv, where R represents the region in the uv-plane corresponding to the portion of the cylinder.
After evaluating the double integral, the surface area can be calculated as the integral of the function f(u, v) over the region R. The exact value of the surface area will depend on the specific form of the function f(u, v), and further calculation is needed to obtain the precise numerical result in terms of π.
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Nadya deposited $1,000 into a savings account that pays 3. 5% simple interest per year. Which expression represents the value of her investment after 8 years?
Answers
The expression that represents the value of Nandy's investment after 8 years is A = 1000 (1 + 3.5(8)).
What are expressions?A finite collection of symbols that are properly created in line with context-dependent criteria is referred to as an expression, sometimes known as a mathematical expression.A mathematical expression is made up of a statement, at least two integers or variables, and one or more arithmetic operations. This mathematical operation enables the multiplication, division, addition, or subtraction of numbers. The following is the structure of an expression: Expression: (Number/Variable, Math Operator, Math Operator)So, the expression that can represent the above situation is:
The total money Nadya deposited is $1000.
Interest is 3.15%.
Total years are 8.
Simple interest formula: A = P (1 + rt)
Where a is the final amount, p is the principal amount, r is the interest return and t is the time in years.
Then, we have:
A = 1000 (1 + 3.5(8))
A = 1000(29)
A = 29,000
Therefore, the expression that represents the value of Nandy's investment after 8 years is A = 1000 (1 + 3.5(8)).
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Vincent deposit $165 at the end of each quarter at an annual
interest rate of 6% compounded quarterly. After how many years will
he has $9,000?
Answers
It will take approximately 3.96 years (or approximately 3 years and 11 months) for Vincent's savings to reach $9,000.
To solve this problem, we can use the formula for the future value of an ordinary annuity:
FV = P * [(1 + r)^n - 1] / r
Where:
FV = Future Value
P = Payment (deposit amount)
r = Interest rate per compounding period
n = Number of compounding periods
In this case, Vincent deposits $165 at the end of each quarter, so P = $165. The annual interest rate is 6%, compounded quarterly, so the interest rate per compounding period, r, would be 6% divided by 4 (since there are 4 quarters in a year), which is 0.06/4 = 0.015.
We want to find the number of years, n, it will take for Vincent's savings to reach $9,000. Let's substitute the given values into the formula and solve for n:
9,000 = 165 * [(1 + 0.015)^n - 1] / 0.015
To solve this equation, we can use algebraic techniques or a financial calculator. Solving the equation, we find that n is approximately 15.83.
Since n represents the number of quarters, we need to convert it to years by dividing it by 4 (since there are 4 quarters in a year):
n (in years) = 15.83 / 4 ≈ 3.96
Therefore, it will take approximately 3.96 years (or approximately 3 years and 11 months) for Vincent's savings to reach $9,000.
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A certain medicine is given in an amount proportional to a patient's body weight. Suppose a patient weighing 119 pounds requires 136 milligrams of medicine
What is the weight of a patient who requires 200 milligrams of medicine?
Answers
Answer:
228.571428 or estimate it down
Step-by-step explanation:
136 ÷ 119 = 1.14285714
1.14285714 x 200 = 228.571428
The weight of the patient who required 200 mg of medicine is 175 pounds.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x = 5 is an equation.
We have,
Amount of medicine = Patient's body weight.
136 mg = 119 pounds
Multiply 200/136 on both sides.
200 mg = 200/136 x 119 pounds
200 mg = 175 pounds
Thus,
The weight of the patient who required 200 mg of medicine is 175 pounds.
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\(0.5 x + \frac{x}{3} = 0.25x + 7\)
please given me correct answer☺
Answers
I need help ASAP !!!!!
Answers
Answer: ?=30
Step-by-step explanation:
To find this answer, we first need to figure out the scale factor. We do this by dividing corresponding sides. I used sides NM and PQ. Do NM divided by PQ. 27/18=1.5. The scale factor is 1.5. Now multiply 20 by 1.5 to get the length of NL or ?. 20 * 1.5=30.
At the nearest wholesale store, 3 bags of cereal cost $21.75. Which equation represents the proportional relationship?
please help
Answers
The equation that represents the proportional relationship is: k = 7.25.
What is a Proportional Relationship Equation?A proportional relationship is a relationship between two variables such that one variable is a constant multiple of the other. A proportional relationship can be represented by an equation of the form y = kx where y and x are the variables, and k is the constant of proportionality. This equation can also be written as y/x = k.
From the given information, we have:
Constant of proportionality (k) = 21.75 / 3
k = 7.25
To write the equation, substitute k = 7.25 into y = kx:
y = 7.25x
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PLZ QUICK!!
Which is the graph of y – 3 = (x + 6)?
A coordinate grid with a line passing through the points at (negative 3, 1), (0, negative 1), and (3, negative 3).
A coordinate grid with a line passing through the points at (negative 2, 1), (0, 0), and (4, negative 3).
A coordinate grid with a line passing through the points at (negative 3, 0), (0, negative 2), and (3, negative 4).
A coordinate grid with a line passing through the points at (negative 3, 3), (0, 1), and (3, negative 1).
Answers
Answer:
See attached graph
Step-by-step explanation:
The equation is y-3=(x + 6)
Write the equation in a slope intercept form, then graph the equation on a graph tool to see the points that line on the line.
Alternatively , using the coordinates in the answer choices given, input them in the equation of the graph and select the answer choice that has all its coordinates true to the equation.
y-3 = x+6 -----can be written as : y= x+9
Graph y= x+9 to see the graph and the points that are on the line as attached.
The line passes through points (-5, 4) and (-4, 5).
Hence, option E is correct.
Use the concept of drawing a graph defined as:
Drawing the curve that represents a function on a coordinate plane is known as graphing a function. Every point on the curve will satisfy the function equation if the curve (or graph) reflects the function.
The given equation of a line:
y – 3 = (x + 6)
To plot the graph:
Put x = 0 we get y = 9
put x = 1 we get y = 10
put x = 2 we get y = 11
put x = 2 we get y = 12
proceed similarly.
Now plot the curve by addressing these points.
Hence,
The line passes through points (-5, 4) and (-4, 5) which is option E.
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The complete question is:
Which is the graph of y – 3 = (x + 6)?
A. A coordinate grid with a line passing through the points at (negative 3, 1), (0, negative 1), and (3, negative 3).
B. A coordinate grid with a line passing through the points at (negative 2, 1), (0, 0), and (4, negative 3).
C. A coordinate grid with a line passing through the points at (negative 3, 0), (0, negative 2), and (3, negative 4).
D. A coordinate grid with a line passing through the points at (negative 3, 3), (0, 1), and (3, negative 1).
E. A coordinate grid with a line passing through the points at (negative4, 5)and (negative 5, 4).
!!!! will give brainliest:
match the domain and range w their corresponding values given the graph below:
Answers
Answer:
the domain will be all real #'s bc the arrows are continuous/never ending. The range would be y<4 because the line starts at 4 and goes down.
Hope this helped you :)
A car uses 150 litres of petrol in 45 minutes. How many litres of petrol will it use in 1 hour?
Answers
Answer: 200 literes will be used in an hour
Step-by-step explanation:
1. 150 divided by 45 mins = 3.3 recurring
2. 3.3 recurring times 60 ( 60 mins in an hour) = 200
The amount of the petrol will be consumed in one hour will be 200 liters.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
A car uses 150 liters of petrol in 45 minutes.
Then the rate at which the amount of petrol is consumed in liters per minutes will be
⇒ 150 / 45
⇒ 10 / 3 Liters per minutes
We know that there are 60 minutes in one hour.
Then the amount of the petrol will be consumed in one hour will be
⇒ (10 / 3) x 60
⇒ 10 x 20
⇒ 200 liters
Thus, the amount of the petrol will be consumed in one hour will be 200 liters.
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HELP NEEDED NOW!!!!!!
Answers
Answer:
Hi, the answer is either b or c... hope that helps
Step-by-step explanation:
A number line is shown.
E
F
H
G
+
10
-10 -5
0
15 20
Which two point values create a zero pair?
A points E and F
B points Fand G
cpoints G and H
D points E and H
Answers
Answer:
it's b) F and GStep-by-step explanation:
to understand thisyou need to know about:integeradditionPEMDASlet's solve:-5 and 5 make
if you add them you will get 0
-5+5
=0
therefore
it's bThe equation below describes a parabola of a is positive which way does the parabola open? X=ay2
Answers
Answer:
If a is positive, the parabola will open to the right, so the answer is C
Step-by-step explanation:
What is a 12 sided polygon called?
Answers
A teacher recorded unit 4 test scores from her class.
58, 64, 66, 70, 71, 75, 77, 80,
84, 85, 87, 90, 93, 95, 96.
Find the percentile rank of a score of 71 on this street -
Victor is in the 60th percentile, what was his score?
Answers
The percentile score of 71 on test score is 27 and the score of victor is 71.
What is Statistics?Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data.
Given, the teacher recorded unit 4 test scores from class.
The scores are: 5,4,66,70,71,75,77,80,84,85,87,90,93,95 and 96.
A percentile is a value on a scale of one hundred that indicates the percent of a distribution that is equal to or below it.
The percentile rank of a score of 71 on the test is find by formula
\(R_{100} =\frac{100(N < )+\frac{1}{2} }{N}\)
=100×4+1/2(1)/15
=400+0.5/15
=400.5/15
=26.7=27th
Now we need to find the score of victor who has 60th percentile.
60=Score/15
score=71
Hence, the percentile score of 71 on this test score is 27 and the score of victor is 71.
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Explain how to solve the equation
9=q-4
Answers
add them both then you get the awnser if the four is not a negative. if the four is a negative use division.
q= 13
its simple, the numbers are just in a different order, but you have look carefully. hope this helped :)
The Sweater Shack is offering a
20% discount on sweaters. If the
regular price is $24.99, what is the
discount?
Answers
discount = 3$
sale price= 12$
Explanation:
20% discount off normal price of 15$
20/100*15/1= 3
15 − 3 = 12
PLEASE ANSWER ASAP AND ILL MARK YOU BRANLIEST!!!
Answers
need the answer for this question
Answers
Answer: um try y=4x-3 or 1/4x-3 sorry i haven’t done that in awhile but it’s definetly one of those if that’s what standard form is
Step-by-step explanation:
y + 2/5y whats is its equivalent expression
Answers
Answer:
(7 y)/5 I think...
Step-by-step explanation:
Which statement is true?
Answers
Answer:
(b) Both vertical and horizontal reflection
Step-by-step explanation:
The figure will be a horizontal reflection of itself about any vertical line through two of the smaller 6-pointed stars.
The figure will be a vertical reflection of itself about any horizontal line through two of the smaller 6-pointed stars.
the pattern has both vertical and horizontal reflection
__
Additional comment
A pattern will have horizontal reflection if there exists a vertical line about which the pattern can be reflected to itself. That is, there exists one (or more) vertical lines of symmetry.
Similarly, the pattern will have vertical reflection if there is a horizontal line about which the pattern can be reflected to itself. Such a line is a horizontal line of symmetry.
If a1 = 3 and an = 5an-1 + 3 then find the value of a4.
Answers
Answer:
Step-by-step explanation:
4a
Last Question for me.
Answers
Answer:
5 yards= 180 inches
6 yards =216 inches
if that's not what you're asking for then
5/6 yards=30 inches
Answer:
Question 2: 30 inches
Question 3: 4(1/5+2/3)
Step-by-step explanation:
Question 2 explanation: 6*6= 36 so 5/6 of 36 is 30 because you are taking away 1/6
HELP PLEASE
write down a formula for the nth term of these patterns. The first term is n = 1.
14 ,23 ,32 ,41, 50 = nth term = ?????????
-4, -11, -18, -25, -32 = nth term = ???????????
Answers
Answer:
1st one= n9+5
2nd one=n×-7+3
Marian wishes to buy a new computer that will cost her $300. She receives $5 per hour for babysitting her younger brother and $4 per hour for helping her mother with chores. Each week she babysits her brother for 4 hours and helps her mother with chores for 10 hours. How many full weeks must she work to earn enough money to buy the computer?
Answers
Answer:5 weeks
Step-by-step explanation: Multiply the amount of hours and money she gets from baby sitting and chores and add the answers together. This equals 60 dollars a week. 300 divided by 60 is 5.
Aisha earns C8.50 per hour.
She works 7 hours per day. 3 days per
How much does Aisha earn In a week
Answers
Answer:
178.50
Step-by-step explanation:
8.50 · 7
59.5 · 3
178.50
Aisha earned C178.50 in a week.
First, multiply the number of hours worked per day with the amount earned per hour.
7 × C8.50 = C59.50
Then, use that answer and multiply it by the number of days worked.
3 x C59.50 = C178.50