mhairi invest 1000 for 5 years at 4% compound interest p.a calculate how much interest she has gained over the 5 years​

Answer:

So, in the expression 7 + 6X5-2, we must first multiply 6 and 5, which gives 30. Then we must add 7 and 30, which gives 37. Finally, we must subtract 2 from 37, which gives a final score of 35.

Therefore, the expression 7 + 6X5-2 is equal to 37-2. The correct answer is D) 37-2.

By using properties of quadrilateral, it can be concluded that-

Square describes the quadrilateral STUV

What is a quadrilateral?

Quadrilateral is a two dimensional four sided figure.

Here the properties of quadrilateral STUV is

Pair of opposite sides are parallel

Diagonals are congruent.

In a parallelogram, the  pair of opposite sides are parallel but diagonals are not congruent

Triangle is not a  quadrilateral

In Rhombus, the  pair of opposite sides are parallel but the diagonals are not congruent

In square, the pair of opposite sides are parallel and the diagonals are congruent

In Trapezoid, one pair of opposite sides are parallel and one pair of opposite sides are non parallel.

So Square describes the quadrilateral STUV

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Answer:

[tex]S_{\infty}=-\dfrac{625}{396}[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{5.5 cm}\underline{Sum of an infinite geometric series}\\\\$S_{\infty}=\dfrac{a}{1-r}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\ \phantom{ww}$\bullet$ $r$ is the common ratio.\\\end{minipage}}[/tex]

Given geometric series:

[tex]-\dfrac{125}{36}+\dfrac{25}{6}-5+6-...[/tex]

To find the common ratio, divide a term by the previous term:

[tex]\implies r=\dfrac{a_4}{a_3}=-\dfrac{6}{5}[/tex]

Substitute the found common ratio and given first term into the sum formula:

[tex]\implies S_{\infty}=\dfrac{-\frac{125}{36}}{1-\left(-\frac{6}{5}\right)}[/tex]

[tex]\implies S_{\infty}=\dfrac{-\frac{125}{36}}{1+\frac{6}{5}}[/tex]

[tex]\implies S_{\infty}=\dfrac{-\frac{125}{36}}{\frac{11}{5}}[/tex]

[tex]\implies S_{\infty}=-\dfrac{125}{36} \times\dfrac{5}{11}[/tex]

[tex]\implies S_{\infty}=-\dfrac{625}{396}[/tex]

The correct answer is D. Analysis of variance (ANOVA). To compare the means of three samples -- perhaps three experimental treatments -- we should use ANOVA Test.

ANOVA is a statistical test that is used to compare the means of two or more samples. It can be used to determine whether there is a significant difference between the means of the samples, and to identify which samples are significantly different from one another.

A pooled variance t-test is a statistical test that is used to compare the means of two samples, assuming that the variances of the two samples are equal. This test is not suitable for comparing the means of three or more samples.

A separate variance t-test is a statistical test that is used to compare the means of two samples, assuming that the variances of the two samples are not equal. This test is also not suitable for comparing the means of three or more samples.

A z-test of difference of means is a statistical test that is used to compare the means of two independent samples. It is not suitable for comparing the means of three or more samples.

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a. The value of 32.68-4.15q when q = 0 is 32.68.

b. The value of 32.68-4.15q when q = 10 is -8.82

c. The value of 32.68-4.15q when q = -3 is 45.13.

What is an expression?

Unknown variables, integers, and arithmetic operators are the components of an algebraic expression. There are no symbols for equality or inequality in it.

Given expression is 32.68-4.15q

Putting q = 0 in the given expression:

32.68-4.15 × 0

= 32.68

Putting q = 10 in the given expression:

32.68-4.15 × 10

=32.68 - 41.5

=-8.82

Putting q = -3 in the given expression:

32.68 - 4.15 × (-3)

=32.68 +12.45

=45.13

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Answer:

2

Step-by-step explanation:

To determine the multiplicative inverse of a number, we use the following rule: The multiplicative inverse of a number a/b is b/a.

Answer:

-5/6

Step-by-step explanation:

By the application of Analytical geometry the rate of change of y with respect to x is -5/6.

what is Analytical geometry?

Analytical geometry is a branch of mathematics that studies geometric shapes and figures using analytical methods. It is a branch of mathematics that uses algebraic techniques to describe geometric shapes and figures. It involves the use of analytical equations and formulas to study geometric concepts. Analytical geometry is used to study the properties of points, lines, angles, circles, and other geometric shapes. It can also be used to solve problems involving angles, distances, and areas of figures. In addition, analytical geometry can be used to find the intersection of two lines, calculate the area of a circle, and calculate the volume of a cylinder. Analytical geometry is a powerful tool used in many scientific and engineering fields.

The rate of change of y with respect to x for this line is -5/6
Therefore -5/6 is rate of change in this graph.

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The equation of the line is y = x + 7

The equation of a line is an equation that describes the line. It is given by y = mx + c where

Since the equation of a line is given by y = mx + c and we have the points from the table (-5, 2) and (0, 7)

Substituting these evalues into the equation, we have

y = mx + c

2 = m(-5) + c

2 = -5m + c  (1)

Also, the point (0,7),we have

y = mx + c

7 = m(0) + c

7 = 0 + c

c = 7

Substituting c = 7 into equation (1), we have that

2 = -5m + c

2 = -5m + 7

2 - 7 = -5m

-5 = -5m

m = -5/-5

m = 1

Substituting m = 1 and c = 7 into the equation for the line, we have

y = mx + c

y = (1)x + 7

y = x + 7

So, the equation is y = x + 7

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Answer:

Your answer is 6.

Step-by-step explanation:

If this is correct can i get branilest? Hope this helps :)

Your deposit must be returned by the landlord within 30 days, less any sum subtracted for damages.

To maximize their earnings, landlords set the rent on rental properties at market rates. Should they... Your reported income plays a big part in how much rent you will have to pay.

3% of the existing rent or the local Consumer Price Index (CPI), whichever is higher, is the maximum increase in rent that the landlord is permitted to make once every 12 months. The requirements of California Tenant Protection Act (AB1482) are expressly applicable to rent hikes.

A renter may be evicted even without a lease. Considering that there isn't a lease or rental agreement, a landlord or property management is free to evict a renter for any reason. The sole need under law would be that the renter being evicted receive a formal notice before being removed.

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Answer:  Recommended to simplify to y=1/4x+3

y=2/8x+3

*Note slope may need to be simplified to (1/4 depends)

Step-by-step explanation: Formula y=mx+b

Slope  m=2/8 >>>>simplify to 1/4  up 1 over 4 (the x goes beside this)

Look on y-axis count up to the dot y=3

Answer: b includes only rational numbers

Step-by-step explanation:

A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p, and a non-zero denominator q. For example, −3/7 is a rational number, as is every integer.

b.

Using statistics we know that the mean value is 5.6 years, and the standard error is 0.4478.

The gathering, characterization, analysis, and drawing of inferences from quantitative data are all tasks that fall under the purview of statistics, a subfield of applied mathematics.

Probability theory, linear algebra, and differential and integral calculus play major roles in the mathematical theories underlying statistics.

So, we have:

μ = 5.6

σ = 1.9

n =  18

Figuring out each sample's mean:

Therefore, the population means itself serves as the best estimator of the sample mean.

μₓ = μ = 5.6

The sample mean is 5.6 years as a result.

Estimating the standard deviation:

By using the formula:

Standard error = σ/√n

Given that the samples are of size n = 18 and the standard deviation is = 1.9:

Standard error = 1.9/√18 = 0.4478

Therefore, using statistics we know that the mean value is 5.6 years, and the standard error is 0.4478.

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Complete question:
The amount of time employees of a telecommunications company have worked for the company is normally distributed with a mean of 5.6 years and a standard deviation of 1.9 years. Random samples of size 18 are drawn from the population and the mean of each sample is determined. Find the mean and the standard error.

The cost per ounce is $0.156

An ounce is a unit of weight and mass in the Imperial and United States customary systems of measurement. It is commonly used to measure the weight of precious metals such as gold, silver, and platinum. In the US, the ounce is equal to 28.35 grams. The ounce is also used to measure the weight of food items, liquids, and other substances. In the UK, the ounce is equal to 28.4 grams. The ounce is also used to measure the weight of postage stamps, coins, and other small items. The ounce can also be used to measure the volume of a liquid. One fluid ounce is equal to 29.57 milliliters. A dry ounce is equal to 28.35 grams. An ounce is also one-sixteenth of a pound.

Solution:

1 pound is equal to 16 ounce

6 pounds of coffee = 6 x 16 = 96 ounce

So take $14.99 and divided it into 96

the cost of per ounce is equal to 14.99 / 96 = 0.156

The cost of one ounce is $0.156

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the ratio of is x: yin reverse

The sales price for the shirts in different countries are the following

Country. Price of shirt

4. European Union, is the best market for Mariee Josee’s shirts and this country also gives her most revenue.

We have given that,

Marie Josee makes famous custom shirts and sold it in Canada. The currency of Canada , CAD.

The price of shirt = $45 CAD

Now, we should find out the price of shirt in different countries.

Country Currency

Canada CAD

European Union EUR

Japan JPY

Australia AUD

1. one CAD = 1.3882 EUR

=> price of shirt in European Union = 45× 1.3882

= 62.469 EUR

2. one CAD = 0.0106 JPY

=> price of shirt in Japan = 45× 0.0106 =0.477 JPY

3. one CAD = 0.9314 AUD

=> price of shirt in Australia = 45× 0.9314

= 41.913 AUD

4. The country Currency which gives highest price of shirt in above list is better option for selling it. So, we see that the European Union country would it be the best market for Mariee Josee’s shirts. It gives best selling price for shirt

i.e 62.469 EUR.

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Answer:

Daily fee is $13.75, and the mileage charge is $0.37.

Answer: n = 6 or n = -3

Step-by-step explanation:

n(n-3)=18

n^2 - 3n = 18

n^2 - 3n - 18 = 0

n = 6 or n = -3

The correct option is (a)

As x ⇒ ∞, f(x) ⇒ -∞ and As x ⇒ -∞, f(x) ⇒ ∞.

What is Polynomial function ?

The terms poly and nomial combine to form the word polynomial. We can define polynomials as "algebraic expressions with many terms" because "poly" means many and "nomial" denotes the term.

Given : f(x)= -2x^3 +3x^2 +2x -1

In order to determine the end behavior of the polynomial function, we are required to check the highest degree of the polynomial and the coefficient of the term which has highest degree.

Here, The highest degree of the polynomial is 3 and the coefficient of the term which has highest degree is -2.

Since, the coefficient is negative, the graph will move right down which means as x ⇒ ∞, f(x) ⇒ -∞.

Similarly, the degree is odd which states that the sign will be opposite of what the coefficient has. So,  As x ⇒ -∞, f(x) ⇒ ∞.

Hence, As x ⇒ ∞, f(x) ⇒ -∞ and As x ⇒ -∞, f(x) ⇒ ∞.

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geometric progression with  common ratio 2.

so,  f(t) = 100 x [tex]2^t[/tex] be an equation to model the situation.

Given :

starting with 100 cells.

a=100

r = 2

a certain single-cell organism doubles every hour

f(t) is the number of organisms and t is time in hours.

f(t) = 100 x [tex]2^t[/tex]

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The dimension of the eigenspace corresponding to an eigenvalue is the number of linearly independent eigenvectors associated with that eigenvalue

What is Eigen Value?

Eigenvalues are a unique set of scalar values connected to a set of linear equations that are most likely seen in matrix equations. The characteristic roots are another name for the eigenvectors. It is a non-zero vector that, after applying linear transformations, can only be altered by its scalar factor.

It is not possible to determine the eigenvalues, their multiplicities, and the dimensions of the corresponding eigenspaces of the matrix g without more information about the matrix itself.

In order to find the eigenvalues of a matrix, you need to determine the values of the variables in the matrix and then solve the characteristic equation, which is obtained by setting the determinant of the matrix equal to zero.

The eigenvalues are the roots of the characteristic equation, and the multiplicity of an eigenvalue is the number of times it appears as a root.

The dimension of the eigenspace corresponding to an eigenvalue is the number of linearly independent eigenvectors associated with that eigenvalue.

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Answer:

24 sides

Step-by-step explanation:

The interior angles of a polygon add up to 180(n-2) degrees, where n is the number of sides the polygon has. This means that to find the number of sides a polygon has, we can set up the following equation:

180(n-2) = 4320

Solving for n, we get:

n = (4320 + 360) / 180 = 24

Therefore, the polygon has 24 sides.

The population percentage of candies that are red: (0.141,0.447)

Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

The formula for the population proportion's confidence interval is: pz/2[p (1-p)/n]

Given:

- Number of samples: 34

10 red candies total.

The formula for the population proportion's confidence interval is: pz/2[p (1-p)/n]

Given:

- Number of samples: 34

10 red candies total.

Red candy prevalence in sample: p = 10/340.294

Level of significance: =1-0.95=0.05

Critical value: 1.96 for z / 2

The population percentage of red candies will now have the following 95% confidence interval estimate: 0.294 (1.96) [0.294(1-0.294)/34] 0.294 0.153, 0.294+0.153) (0.141.0. 447)

The population percentage of candies that are red: (0.141,0.447)

The complete question is : The data given to the right includes data from 34 ​candies, and 10 of them are red. The company that makes the candy claims that 29​% of its candies are red. Use the sample data to construct a 95​% confidence interval estimate of the percentage of red candies. What do you conclude about the claim of 29​%? Construct a 95 % confidence interval estimate of the population percentage of candies that are red.

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The accumulated value of an investment of $4,000 at 5% compounded semiannually for 8 years is $5,938.02.

When you add the interest you have already earned back into your principal balance, you are earning compound interest, which increases your profits.

Compound interest, also known as interest on principal and interest, is the practise of adding interest to the principal amount of a loan or deposit.

Given:

Investment amount= $4000

Rate of Interest, R= 5%

Time= 8 years semiannually

So, r = R/100

r = 5/100

r = 0.05 rate per year,

Then solve the equation for A

A = P[tex](1 + r/n)^{nt[/tex]

A = 4,000.00[tex](1 + 0.05/2)^{(2)(8)[/tex]

A = 4,000.00[tex](1 + 0.025)^{(16)[/tex]

A = $5,938.02

Hence, the accumulated value of an investment is $5,938.02.

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Answer:

23/16?

Step-by-step explanation:

23/16 + 1/16 = 3/2

The cost of one ft² of grass sod is $3 and the cost of one shrub is $10.

Let the cost of grass be g and the cost of shrubs be s.

Pranav spent $90 on 10 ft² of grass sod and 5 shrubs. Thus, the equation that portrays this is;

10g + 5s = 90   -----(1)

Paul spent $50 on 5 ft² of grass sod and 3 shrubs. Thus, the equation that portrays this is;

5g + 3s = 50   ------(2)

Multiply eq 2 by 2 to get;

10g + 6s = 100   -----(3)

Subtract eq 1 from eq 2 to get;

s = 10

Put 10 for s in eq 1 to get;

10g + 5(10) = 90

10g = 40

g = 4

Thus, we conclude that the cost of grass sod and shrubs are the values of s and g above.

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The expression that represents the number of snow cones is 6/s.

An algebraic expression is an expression that is made up of variables and constants by operations like addition, subtraction, etc. We use Algebraic Expressions to find unknown values or numbers.

Here we have

Jamal spent 6 dollars on snow cones last week  

Each snow cone costs s dollars

Let Jamal bought y snow cones

=> Cost of y cones = ys dollars

Given that Jamal spent 6 dollars

=> ys = 6  

=> y = 6/s

Therefore,

The expression that represents the number of snow cones is 6/s.

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Well, the diameter and circumference scale perfectly. Therefore, the ratio will remain the same regardless of how big or tiny the circle is. For all circles, circumference is equal to x diameter. There are no exceptions because this is the definition of.

Give an example of diameter.

If you look at the cycle wheel, the spikes that run through the center from one end to the other are an illustration of diameter. This is comparable to a circle's diameter, which is a line segment that extends from one end of the circle to the other end while passing through the center.

What is a circle's circumference?

A circle's diameter is multiplied by to determine its circumference (pi). You can also determine the circumference by multiplying 2radius by pi (=3.14).

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