Answers
The product of a, b, and c is 27/8.
What is an expression?
In mathematics, an expression is a combination of numbers, symbols, and operators (such as +, -, ×, ÷, and parentheses) that represents a quantity or a mathematical relationship. Expressions can be simple or complex, depending on the number of terms and the complexity of the operations involved.
The given expression is
[tex]\frac{6x^2y^{-1}}{\sqrt[4]{16x^5y^2} }[/tex]
To simplify the given expression and write it in the form of ax^by^c, we can start by using the properties of exponents and simplifying the numerator and denominator separately:
Numerator: [tex]6x^2y^(-1) = \frac{6x^2}{y}[/tex]
Denominator: [tex]\sqrt[4]{(16x^5y^2)} = (16x^5y^2)^{(1/4)} = 2x^{(5/4)}y^{(1/2)}[/tex]
Putting the simplified numerator and denominator together, we have:
[tex]\frac{6x^2y^{-1}}{\sqrt[4]{16x^5y^2}} = \frac{6x^2}{y} \cdot \frac{1}{2x^{5/4}y^{1/2}} = \frac{3}{\sqrt{2} \cdot x^{3/4}y^{3/2}}[/tex]
Now we can see that the given expression can be written in the form of ax^by^c, where a = 3, b = -3/4, and c = -3/2. Therefore, the product of a, b, and c is:
a * b * c = 3 * (-3/4) * (-3/2) = 27/8.
Hence, the product of a, b, and c is 27/8.
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Related Questions
COWS
Tt
Lakayja brushed 24 cows in 2 hours. How many can she brush in 15 hours?
Answers
Answer: 180
Step-by-step explanation: Hope this helps :D
Answer:
180 Cows
Step-by-step explanation:
24 in 2 = 12/hr
12 cows x 15 hours = 180 cows
am a 4-digit number. My thousands digit is greater than 6, but less than 8 My hundreds digits is the highest even number. and ones The sum of my tens cligit a digit is equal to my hundreds digit. My tens digit is 6. Who am I?
Answers
Answer:
From the given information, we know that:
The thousands digit is greater than 6 and less than 8, so it must be 7.
The hundreds digit is the highest even number, so it must be 8.
The tens digit is 6.
The sum of the tens and ones digit is equal to the hundreds digit, so 6 + ones digit = 8.
Solving for the ones digit, we get:
ones digit = 8 - 6 = 2
Putting the digits together, we get the number: 7862.
So, the 4-digit number that satisfies all the given conditions is 7862.
Step-by-step explanation:
Given the clues, the thousands digit is 7, the hundreds digit is 8, the tens digit is 6, and the ones digit is 2; therefore, the 4-digit number is 7862.
Explanation:Given the hints, we can infer that:
The thousands digit is greater than 6, but less than 8, so it can only be 7.The hundreds digit is the highest even number, which is 8.The tens digit was specifically said to be 6.The sum of the tens and ones digit is equal to the hundreds digit. The tens digit is 6 and the hundreds digit is 8, so the ones digit must be 2 because 6 + 2 = 8.Therefore, the 4-digit number is 7862.
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It is important to know what the variables in interest-rate formulas represent.
Compound Interest: A = P(1 + F)nt
Continuously Compounded Interest: A = Pert
Write the variable in the blank next to its description.
Answers
Answer:
Step-by-step explanation:
In the compound interest formula: A = P(1 + r)^t
A represents the amount of money in the account at the end of the term t, including interest.
P represents the initial principal, or the amount of money invested.
r represents the interest rate, usually expressed as a decimal.
t represents the number of time periods over which the interest is compounded.
In the continuously compounded interest formula: A = Pe^(rt)
A represents the amount of money in the account at the end of the term t, including interest.
P represents the initial principal, or the amount of money invested.
r represents the interest rate, usually expressed as a decimal.
t represents the number of time periods over which the interest is compounded.
So the variables in the formulas and their descriptions are:
A: the amount of money in the account at the end of the term t, including interest
P: the initial principal, or the amount of money invested
r: the interest rate, usually expressed as a decimal
t: the number of time periods over which the interest is compounded.
In May the Smith family used 12567 litres of water, In June they used 452 litres and in July they used 15623. Write down the amount of water used for each month and round off each to the nearest 1000
Answers
The amount of water used for each month and rounded off to the nearest 1000 is;
May = 13,000 litersJune = 0 litersJuly = 16,000 litersWhat is the approximate amount of water used?Amount of water used in May = 12567 litres
Amount of water used in June = 452 litres
Amount of water used in July = 15623 liters
Approximate amount of water used in May to the nearest 1000 = 13,000 liters
Approximate amount of water used in June to the nearest 1000 = 0 liters
Approximate amount of water used in July to the nearest 1000 = 16,000 liters
Therefore, the amount of water used each month rounded to the nearest 1000 are 13,000, 0, and 16,000 respectively.
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pls help!!
In the xy-plane, the point (2,10) lies on the graph of the
function f(x) = 2x2 + bx - 8. What is the value of b?
(answer choices in the image attached)
Answers
In the xy-plane, the point (2,10) lies on the graph of the function f(x) = 2x^2 + bx - 8. The value of b is 4.
What is linear equation?
A linear equation is an equation that describes a straight line in the form y = mx + b, where x and y are variables, m is the slope of the line, and b is the y-intercept. The slope of a line is the measure of how steeply the line rises or falls, and the y-intercept is the point at which the line crosses the y-axis.
In a two-dimensional coordinate system, a linear equation represents a straight line that can be graphed by plotting pairs of x and y values that satisfy the equation. The line passes through all points that satisfy the equation and no others.
We can find the value of b by using the point-slope form of a linear equation, which states that the equation of a line with slope m that passes through the point (x1, y1) is given by y - y1 = m(x - x1).
In this case, the slope of the line is equal to 4x, and the point (x1, y1) is (2, 10), so we have:
y - 10 = 4x * (x - 2)
Expanding the right-hand side, we get:
y - 10 = 4x^2 - 8x
Matching this equation with the given function f(x) = 2x^2 + bx - 8, we see that b = 4.
So the value of b is 4.
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Write the sentence as an equation.
242 fewer than the quantity 193 times n equals 131
Answers
I think this is it
252-(193×n) =131
Given the following observation for ortime serie X
t=1,2,3,4,5,6,7,8,9,10
Xt=47,64,23,71,38,64,55,41,59,48
Find
r(2)
Answers
Answer:t he autocorrelation of the time series X at lag 2 is approximately -0.018.
Step-by-step explanation:
To find the autocorrelation of the time series X at lag 2, we need to calculate the covariance between X(t) and X(t-2). This can be done using the following formula:
r(2) = cov(X(t), X(t-2)) / var(X(t))
where cov(X(t), X(t-2)) is the covariance between X(t) and X(t-2), and var(X(t)) is the variance of X(t).
To calculate the covariance, we'll use the following formula:
cov(X(t), X(t-2)) = sum((X(t) - mean(X(t))) * (X(t-2) - mean(X(t-2)))) / (n - 1)
where n is the number of observations in the time series. To calculate the variance, we'll use the following formula:
var(X(t)) = sum((X(t) - mean(X(t)))^2) / (n - 1)
First, let's calculate the mean of X(t):
mean(X(t)) = (47 + 64 + 23 + 71 + 38 + 64 + 55 + 41 + 59 + 48) / 10 = 51
Next, let's calculate the covariance between X(t) and X(t-2):
cov(X(t), X(t-2)) = sum((X(t) - 51) * (X(t-2) - 49)) / (10 - 1) = -10.3
Finally, let's calculate the variance of X(t):
var(X(t)) = sum((X(t) - 51)^2) / (10 - 1) = 563.7
Plugging in these values, we can find the autocorrelation at lag 2:
r(2) = cov(X(t), X(t-2)) / var(X(t)) = -10.3 / 563.7 = -0.018
So the autocorrelation of the time series X at lag 2 is approximately -0.018.
Xin is going to invest in an account paying an interest rate of 5.8% compounded annually. How much would Xin need to invest, to the nearest hundred dollars, for the value of the account to reach $2,290 in 16 years?
Answers
The amount that should be invested in order to have $2,290 in 16 years is $929.11.
What is compound interest?
The interest on a deposit calculated using both the initial principle and the accrued interest from prior periods is known as compound interest. In other words, compound interest is interest that is earned on interest.
Here, we have
Given: Xin will invest in an account paying an interest rate of 5.8% compounded annually.
Amount to invest = Future value / (1 + r)ᵗ
Where:
r = interest rate
t = time
X = $2,290 / (1 + 0.058)¹⁶
X = 2,290 / 2.46474
X = $929.11
Hence, the amount that should be invested in order to have $2,290 in 16 years is $929.11.
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Cory is a bird-watcher. He estimates that 30% of the birds he sees are
American robins, 20% are dark-eyed juncos, and 20% are song sparrows. He
designs a simulation.
Let 0, 1, and 2 represent American robins.
Let 3 and 4 represent dark-eyed juncos.
Let 5 and 6 represent song sparrows.
Let 7, 8, and 9 represent other birds.
The table shows the simulation results.
05716
16803
96568
32177
33855
76635
92290
88864
72794
14333
79019
05943
77510
74051
87238
97895
86481
94036
12749
24005
According to this simulation, what is the probability that at least one of the
next five birds he sees is a song sparrow?
Answers
The probability that at least one of the next five birds he sees is a song sparrow is 0.65
How to determine the probability from the simulationFrom the question, we have the following parameters that can be used in our computation:
05716 16803 96568 32177 33855
76635 92290 88864 72794 14333
79019 05943 77510 74051 87238
97895 86481 94036 12749 24005
Also, we have:
Let 0, 1, and 2 represent American robins.Let 3 and 4 represent dark-eyed juncos.Let 5 and 6 represent song sparrows.Let 7, 8, and 9 represent other birds.Using the above as a guide, we have the following individual representations of at least one sparrow bird
Yes Yes Yes No Yes
Yes No Yes No No
No Yes Yes Yes No
Yes Yes Yes No Yes
So, we have
At least one sparrow bird = 13
Total = 20
So, the probability is
P = 13/20
Evaluate
P = 0.65
Hence, the probability is 0.65
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The hypotenuse of a right triangle measures 7cm and one of its legs measures 2m. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answers
Answer: 6.7
Step-by-step explanation: 7^2-2^2=45
square 45 =6.7
Jason decides to sell his band's CD. It required an investment of $3349 for computer hardware and it will cost $3.65 for materials for each disk. If each CD sells for $13.50, how
many must he sell to break even?
196 CDs
340 CDs
339 CDs
195 CDs
Answers
Answer:
340 CDs
Step-by-step explanation:
To answer this question, we're dealing with three functions for one problem, namely the revenue function, the cost function, and the profit function.
The revenue function is R(q) = pq, where p is the price of a certain good and q is the quantity sold.
The cost function is C(q) = variable cost + fixed cost, where variable costs changes depending on the quantity of goods produced and fixed cost is a one-time cost for the producer (e.g., an investment, rent, etc.).
The profit function is P(q) = R(q) - C(q) and is simply the cost function subtracted from the revenue function.
The "break-even point" is the point at which profit = $0 and the point at which cost = revenue.
From the problem, we see that Jason invested $3349 (once) for his CDs and each disk requires $3.65 for the materials so our cost function is C(q) = 3.65q + 3349
Furthermore, we see that each disks sells for $13.50, so our revenue function is R(q) = 13.5q
Our profit function then is P(q) = 13.5q - (3.65q + 3349) = 13.5q - 3.65q - 3349 = 9.85q - 3349.
Thus, to find the break-even point, we set profit = 0 and solve for q:
[tex]0=9.85q-3349\\3349=9.85q\\340=q[/tex]
NEED HELP ASAP PLEASE! What is the equation of the function shown in the table?
Input x: -2 -1 0 1 2
Output y: -3 -1 1 3 5
A: y = -2 x + 1
B: y = 2 x + 1
C: y = 2 x - 2
D: y = - 1/2x - 1
Answers
With the data points (-2,-3) and (-1,-1), the linear equation is obtained as Option B: y = 2x + 1.
What is a linear equation?
A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
The data points are given for the equation.
Consider the first two points (-2,-3) and (-1,-1).
The slope intercept form of the linear equation is -
y = mx + b
Here m is the slope.
For calculation of slope the formula is -
m = (y2 - y1) / (x2 - x1)
Substitute the values in the equation -
m = [(-1) - (-3)] / [(-1) - (-2)]
m = (-1 + 3) / (-1 + 2)
m = 2/1 = 2
The equation becomes y = 2x + b.
Substitute the point (-2,-3) to get the value of b.
y = 2x + b
-3 = 2(-2) + b
-3 = -4 + b
b = -3 + 4
b = 1
Therefore, the linear equation is y = 2x + 1.
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A 80 kg monkey climbs a 15 meter tree in half a minute. What is the magnitude of power the monkey demonstrated?.
Answers
The demonstration of magnitude of power given by 80 kg monkey by climbing a 15 meter tree in half a minute is equal to option b. 392 J/S.
Weight 'm' of the monkey is equal to 80kilogram
Height 'h' of the tree is equal to 15 meter
Time 't' taken by monkey to climb a tree = half a minute
= 30 minutes
g = 9.8 m/s²
Magnitude of power = ( m × g × h )/ t
⇒ Magnitude of power = ( 80 × 9.8 × 15 )/ 30
⇒ Magnitude of power = 784 / 2
⇒ Magnitude of power = 392 J/S
Therefore, the magnitude of the power for the given weight , displacement and time is equal to option b. 392 J/S.
The above question is incomplete, the complete question is:
A 80 Kg monkey climbs a 15 meter tree in half a minute. What is the magnitude of power the monkey demonstrated?
a. 13.1 J/S
b. 392 J/S
c. 784 J/s
d. 11760 J/s
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Kelsey orders several snow globes that each come in a cubic box that measures 14
foot on each side. Her order arrives in the large box shown below. The large box is completely filled with snow globes.
Answers
The number of snow globe in box is x³/ 2744.
What is Volume?Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
Given:
length of one small cube = 14 foot.
Volume of small cube = l³
= 2744 ft³
let the edge of one large cube be x.
So, volume of large cube= x ft³
Thus, number of globes in larges box
= Volume of large box/ Volume of small box
= x³/ 2744
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Complete the table of inputs and outputs for the function.
Answers
-9>10
-7>0
0>-35
5>-60
Two large and 1 small pumps can fill a swimming pool in 4 hours. One large and 3 small pumps can also fill the same swimming pool in 4 hours. How many hours will it take 4 large and 4 small pumps to fill the swimming pool.(We assume that all large pumps are similar and all small pumps are also similar.)
Answers
Answer:
Step-by-step explanation: We can start the problem by using the principle of Proportional Equivalents. We can write two equations based on the given information:
Let's say that the rate of filling the pool with one large pump is x and the rate of filling the pool with one small pump is y.
Then, we can write the following two equations:
2x + 1y = 1/4 (because two large and one small pump can fill the pool in 4 hours)
1x + 3y = 1/4 (because one large and three small pumps can fill the pool in 4 hours)
Now we have two equations with two unknowns, x and y. We can solve for x and y using either substitution or elimination method. Let's use substitution method.
Solving for x:
From equation (1), we have 2x = 1/4 - 1y
Substituting this value of x in equation (2), we get:
1 (1/4 - 1y) + 3y = 1/4
Expanding and simplifying, we get:
1/4 - 1 + 3y = 1/4
3y = 1/2
y = 1/6
So, the rate of filling the pool with one small pump is 1/6.
Now that we have found the value of y, we can find the value of x.
x = 1/4 - 1y = 1/4 - 1 * 1/6 = 1/4 - 1/6 = 1/12
So, the rate of filling the pool with one large pump is 1/12.
Now that we have found the rate of filling the pool with each large and small pump, we can find the time it will take 4 large and 4 small pumps to fill the pool.
Let's call the rate of filling the pool with 4 large and 4 small pumps as R.
Then, R = 4 * 1/12 + 4 * 1/6 = 1/3
So, it will take 1/R = 3 hours to fill the pool with 4 large and 4 small pumps.
What are the zeros of this function?
A. -1, 3
B. 3, 1
C. 0, 1.5
D. 1, 2
Answers
Answer:
B
Step-by-step explanation:
the zeros are the values of x on the x- axis where the graph crosses
the graph crosses the x- axis at 1 and 3
then the zeros are x = 1 , x = 3
A store owner want to develop a new snack mix by mixing chocolate and trail mix. How many pounds of chocolate costing $10.40 per pound should be mixed with 10 pound of trail mix costing $4.30 per pound to create a mixture worth $7.96. (round to the nearest pound)
Answers
Answer: 15 pounds
Step-by-step explanation:
10.4(x)+4.3(10)=7.96(x+10)
10.4x+43=7.96x+79.6
2.44x=36.6
x=15 pounds
(check my work. I may have done something wrong, but the equation should be correct.)
Angles (x+40) and (x-20) are supplementary, find the value of x
Answers
Answer:
x = 80
Step-by-step explanation:
supplementary angles sum to 180°
sum the 2 angles and equate to 180
x + 40 + x - 20 = 180
2x + 20 = 180 ( subtract 20 from both sides )
2x = 160 ( divide both sides by 2 )
x = 80
Given right triangle ABC with altitude
BD drawn to hypotenuse AC. If
AC 36 and DC = 9, what is the length
of BC?
=
C
9
D
36
X
A
B
Can someone please helppp
Answers
The measure of the length of x is equal to 20.1246 using the trigonometric ratios of cosine for angle C
What are trigonometric ratiosThe trigonometric ratios involves the relationship of an angle of a right-angled triangle to ratios of two side lengths. Basic trigonometric ratios includes; sine cosine and tangent.
Considering the right triangles; ∆ABC with hypotenuse = 45 and adjacent = BC, the triangle ∆ADC with hypotenuse = BC and adjacent = 9 with the angle C we can solve for BC as follows:
for ∆ABC;
cosC = 9/BC {adjacent/hypotenuse}
for ∆ADC;
cosC = BC/45 {adjacent/hypotenuse}
9/BC = BC/45
BC² = 9 × 45 {cross multiplication}
BC² = 405
BC = √405 {take square root of both sides}
BC = 20.1246
Therefore, the measure of the length of x is equal to 20.1246 using the trigonometric ratios of cosine for angle C
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Pls help me with this math space question
Answers
The required value of the expression at x = 4 and x = -4 is 81 and 1/81 while as x gets larger simultaneously 3ˣ approaching to infinity.
What is an exponential function?The function which is in format f(x) =aˣ where a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
Here,
Given expression,
= 3ˣ
put x = 4
= 3⁴ = 81
Now put x = -4
= 3⁻⁴
= 1/3⁴
= 1/81
Since x gets larger as x = 0, 1, 2, 3, and so on 3ˣ get 1, 9, 27, 81 and so on approaching to infinity.
Thus, the required value of the expression at x = 4 and x = -4 is 81 and 1/81 while as x gets larger simultaneously 3ˣ approaching infinity.
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One cubic foot holds 7.48 gallons of water, and 1 gallon of water weighs 8.33 pounds. how much does 2.6 cubic feet of water weigh in pounds? in tons?
Answers
Answer: Weight of water in 1 cubic foot water (in pounds)
Weight of water in 1 cubic foot water (in ounces)=
Step-by-step explanation:
Given: One cubic foot holds 7.48 gallons of water.
One gallon of water weighs 8.33 pounds.
To find the weight of water in 1 cubic foot water in pounds we apply Unitary method.
Weight of water in 1 cubic foot water (in pounds)
⇒Weight of water in 1 cubic foot water (in pounds)
Since , 1 pound = 16 ounces .
Weight of water in 1 cubic foot water (in ounces)=
Step-by-step explanation:
When solving an inequality, if you the coefficient is negative, as in-3x > 9, the inequality
True
False
Answers
"When solving an inequality, if you the coefficient is negative, as in-3x > 9, the inequality" statement becomes: true
What is an inequality?A relationship that compares two numbers or other mathematical expressions in an unequal way is known as an inequality in mathematics. On the number line, it is most frequently used to compare the sizes of two numbers. The equals sign in the equation-like phrase 7x 4 > 2x + 5 has been replaced by an arrowhead. This is a prime instance of inequality. This indicates that the left half, 7x 4, is larger than the right part, 2x + 5, in the equation. Finding the values of x for which the inequality holds true will be of importance to us.
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Mia bought five pounds of potatoes and sent a total of 3.65 for them
Answers
The cost of one pound of potato is 0.73 pounds.
What is Algebra ?The mathematical field of algebra assists in the depiction of problems or conditions as mathematical statements. It involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.
Now in the given question , we have to find the cost of one pound of potato.
here we have to find the cost of one pound of potato mia bought.
she total spent $3.65 for them and bought five pounds of potatoes.
cost of one pound of potato
= [tex]\frac{total spent}{total bought} = \frac{3.65}{5} =0.73 pounds[/tex]
hence, cost of one pound of potato is 0.73 pounds.
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Mrs. Smith baked 2 cakes. There are seven people in her family. How much of the cakes can each person have? Make sure to write your answer as a simplified fraction.
Answers
The required, each person can have 2/7 of a cake. This fraction cannot be simplified any further, so the answer is 2/7.
What is the fraction?A fraction is a mathematical concept that can be used to express a portion of a whole or a number that can be written as the ratio of two integers.
here,
To divide the 2 cakes equally among 7 people, we can use division. We can think of the total amount of cake as 2 whole cakes or 2/1 cakes. To find out how much cake each person can have, we can divide the total amount of cake by the number of people:
2/1 cakes ÷ 7 people = 2/1 × 1/7 = 2/7 cakes per person
So each person can have 2/7 of a cake. This fraction cannot be simplified any further, so the answer is 2/7.
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Problem #1
A motorist travelling at 90 km/h applied the brakes until the car stopped. If the stopping distance was 12 m, what was the acceleration? (-26 m/s2)
Answers
The acceleration was -26.04 m/s².
What are Equations of Motion?Equations of motion are a set of equations which describes the basic motion concepts like velocity, position, time and acceleration.
There are mainly three equations of motion.
v = u + at
s = ut + [tex]\frac{1}{2}[/tex] at²
v² = u² + 2as
v is the final velocity, u is the initial velocity, a is the acceleration, t is the time and s is the displacement.
Given,
Initial velocity of the motorist, u = 90 km/h = 90 × (5/18) m/s = 25 m/s
Final velocity of the motorist, v = 0 m/s (since the bike stopped)
Stopping distance, s = 12 m
Using the third equation of motion,
v² = u² + 2as
0² = 25² + (2a × 12)
24a = -625
a = -625 / 24 = -26.04 ≈ -26 m/s²
Hence the acceleration of the motorist was -26 m/s².
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5.
Jenny had to increase her gas budget from $300 per month to $350 per
month. What is the percentage increase in Jenny's budget?
Answers
Answer:
16.66667% increase
Step-by-step explanation:
100 x 350 - 300/ 300 = 50/3 = 16.66667% increase
Formula for percent increase is below↓
What is the area of a triangle with base 24cm height 16cm and show the workings
Answers
Answer:
The triangle has an area of 192cm^2
Step-by-step explanation:
Given;
the formula to find the area of the triangle,
[tex]A=\frac{h_{b}b }{2}[/tex]
We can insert the values,
[tex]A=\frac{24*16}{2} \\\\\\A=\frac{384}{2} \\\\A=192cm^2[/tex]
The area of the triangle is 192cm^2.
What is the value of f(3) in the function below?
f(x) = 1/4 • 2*
A. 4
B. 2
C. 8
D. 3/2
Answers
The value of f(3) is 2.
Option B is the correct answer.
What is a function?A function has an input and an output with a relationship between them.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = 1/4 x [tex]2^x[/tex]
Substitute x = 3.
f(3) = 1/4 x 2³
f(3) = 1/4 x 8
f(3) = 2
Thus,
The value of f(3) is 2.
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Mary invests £12000 into a savings account. The account 1.5% compound interest per year. Work out the value of her investment after 2 years.
Answers
Answer:
Step-by-step explanation:
To calculate the compound interest on Mary's savings account, we can use the formula:
A = P * (1 + r/n)^(nt)
Where:
A is the amount after t years
P is the initial principal (£12000)
r is the interest rate (1.5%)
n is the number of times the interest is compounded in a year (let's assume it's compounded annually)
t is the number of years (2)
So, plugging in the values, we get:
A = £12000 * (1 + 0.015/1)^(1 * 2)
A = £12000 * (1.015)^2
A = £12000 * 1.0302
A = £12363.84
So, after 2 years, Mary's £12000 investment would be worth £12363.84, including the compound interest.
