Find the interest rate needed for an investment of $10,000 to triple in 11 years if interest is compounded quarterly. percentage point.) %

Answer:

1/12

Step-by-step explanation:

find the least common multiple of the denominators.

which is 12

so 1/4=3/12

2/3=8/12

1/2=6/12

so 3/12- 8/12 - 6/12 = -11/12

so there is 1/12th pieces left after they all ate their portions of the pie

Answer:

9.4

Step-by-step explanation:

The distance formula is d=√((x₂-x₁)²+(y₂-y₁)²)

d=√((8-0)²+(0-5)²)

d=√((8²)+(-5²))

d=√(64+25)

d=√(89)

d=9.433981

d=9.4

Hope this helps :-)

Answer: 9.4 units

Step-by-step explanation:

The intervals to the given function are as follows:

This function is defined(values of x) for all real values and also assumes all real values(values of y), hence both the domain and the range are of the function are given by the interval (-∞,∞).

From the graph, the function is classified as decreasing or increasing according to the direction of movement in the graph, as follows:

Hence the intervals are given as follows:

The relative minimum is when the graph of the function changes from decreasing to increasing, hence it is at these two following points:

(-0.366, -5.848) and (2,-1).

The relative maximum is when the function changes from increasing to decreasing, hence it is at this following point:

(1.366, -0.652).

The end behavior of the function is given by the limits of the function when x go to infinity, looking to the left and to the right of the graph of the function, hence:

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If RSTU is a rhombus, the measure of angle UTS is equal to 106°.

In Mathematics, an angle bisector simply refers to a line segment that bisects an angle into two (2) equal halves. For rhombus RSTU, diagonal US bisects angle RUT of the rhombus into two (2) equal halves;

(10x - 23)° = (3x + 19)°

10x - 3x = 19 + 23

7x = 42

x = 42/7

x = 6.

m∠RUT = (10x - 23)° + (3x + 19)°

m∠RUT = (10(6) - 23)° + (3(6) + 19)°

m∠RUT = 37 + 37

m∠RUT = 74°

By applying the linear pair postulate, we have the following:

m∠RUT + m∠UTS = 180°

74° + m∠UTS = 180°

m∠UTS = 180° - 74°

m∠UTS = 106°

In conclusion, m∠UTS in rhombus RSTU is equal to 106°.

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a.) The type of distribution that is represented by the histogram is a left skewed histogram.

b.) The type of sampling this will represent is a simple random sampling.

A left skewed histogram can be defined as the type of distribution where by the tails is displayed towards the left of the histogram. This is represented in the histogram given in the diagram above.

A simple random sampling is defined as the type of sampling whereby every member of a population is given an equal chance to be selected. Since the information represented is the sample of an entire league, making another bigger league from it gives them all equal chance to be selected.

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Answer:

Step-by-step explanation:

Because in equation x-9y=12

If we put x=12 and y=0 then it satisfy equation. (12)-9(0)=12

So, (12,0) make equation

(3,-1) also make equation

(3)-9(-1)=12

(0,-4/3) also make equation

Because

0-9(-4/3)=12

Only (0,12) is not making

Beacuse

(0)-9(12) is not equal to 12

Answer:

2142 inches^2

Step-by-step explanation:

parallelogram's area: base * height

so, 34*63 = 2142

Answer:

The ordered pair will simply be the point at which these two lines cross. We solve the equations as simultaneous equations.

The solution is the point

(

−

6

,

−

11

)

Explanation:

We solve the set of two equations as simultaneous equations.

Call this Equation 1:

y

=

2

x

+

1

Call this Equation 2:

y

=

x

−

5

Rearrange Equation 2 to make

x

the subject:

x

=

y

+

5

Substitute this value of

x

into Equation 1:

y

=

2

(

y

+

5

)

+

1

=

2

y

+

10

+

1

=

2

y

+

11

Rearranging:

−

y

=

11

y

=

−

11

We can substitute this into either equation to find the value of

x

:

x

=

−

6

That means the intersection of the lines is at the point

(

−

6

,

−

11

)

.

Step-by-step explanation:

Answer:

(x - 2, y -5)

Step-by-step explanation:

X:

To go from 4 to 2, we need to move to the left

Y:

To go from -2 to -7, we need to move down 5

The volume of the cylnder is  9,728.5 ft³

For a cylinder of radius R and height H, the volume is given by:

V = pi*R^2*H

Where pi = 3.14

Here we know that the height is.

H = (20 + 1/2) ft = 20.5 ft

And the diameter is (1 + 1/5) times the height, then:

D = (1 + 1/5)*(20 + 1/2) ft = (1.2)*(20.5)ft = 24.6ft

And the radius is half of that, so:

R = 12.3ft

Then the volume is:

V = 3.14*(12.3ft)^2*20.5ft = 9,728.5 ft³

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Answer:

9.2 x 10^3

Step-by-step explanation:

HOPE THIS HELPS and if it does brain pls thx

Doreen is correct, Constance incorrect.

Constance is incorrect and Doreen is correct. Dilations do not necessarily preserve angle measures, so Triangle A'B'C' is not necessarily congruent to Triangle ABC based solely on congruent angle measures. Therefore, Constance's statement is incorrect.

To demonstrate this, we can construct a counterexample. Let's say that Triangle ABC has angle measures of 30 degrees, 60 degrees, and 90 degrees. When we dilate Triangle ABC using point P as the center of dilation and a scale factor of 2, we create Triangle A'B'C', where each side is twice as long as the corresponding side in Triangle ABC. However, the angle measures in Triangle A'B'C' will still be 30 degrees, 60 degrees, and 90 degrees. Therefore, Triangle A'B'C' is not congruent to Triangle ABC.

In summary, while dilations preserve ratios of lengths and parallelism, they do not necessarily preserve angle measures, so Constance's statement is incorrect and Doreen is correct.

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In Question 10, to determine the year when Ryan's salary was highest in real terms, we need to adjust his earnings for inflation using the Consumer Price Index (CPI). Given the CPI values for 1970, 1980, and 1990, we can calculate the real value of Ryan's salary for each year and compare them.

In Question 11, we are asked to identify which item will be included in GDP. GDP measures the value of goods and services produced within a country's borders during a specific time period. We need to determine if the given options represent items that contribute to GDP.

In Question 13, we are discussing the problems with CPI calculations. CPI is used to measure inflation and changes in the cost of living. We need to identify the specific issues associated with CPI calculations.

Question 10: To determine the highest real salary, we need to adjust Ryan's earnings for inflation. We can do this by dividing his earnings in each year by the respective CPI value and then comparing the real values. By performing the calculations, we find that Ryan's salary was highest in 1970 when adjusted for inflation.

Question 11: In this question, option a (vegetables produced in the backyard for self-consumption) is not included in GDP as it represents non-market production for personal use. Option b (jewelry set bought from an antique store) is included in GDP as it involves a market transaction. Option c (rental value of owner-occupied houses) is not included in GDP as it is imputed and not a market transaction. Option d (purchase of a pre-owned car) is included in GDP as it involves a market transaction.

Question 13: The problem with CPI calculations includes both the substitution bias and unmeasured quality change. The substitution bias arises because CPI assumes constant consumption patterns and does not account for consumers' ability to substitute cheaper goods for more expensive ones. Unmeasured quality change refers to the difficulty of accurately capturing changes in the quality of goods and services over time in the CPI calculation. Therefore, the correct answer is that both the substitution bias and unmeasured quality change are problems with CPI calculations.

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x+50+70+4x=180

combine like terms

50+70=120

subtract 120 by both sides

x+4x=60

combine like terms

5x=60

divide by 5

x=12

4x12=48

B=48

12+50=62

48+62=110

110+70=180

x=12

A=62

B=48

8 Guidelines for Critically Evaluating a Statistical Study

1. Identify the Goal, Population, and Type of Study

2. Consider the Source

3. Examine the Sampling Method

4. Look for Problems in Defining or Measuring the Variables of

Interest

5. Watch Out for Confounding Variables

6. Consider the Setting and Wording of Any Survey

7. Check That Results Are Fairly Represented in Graphics or

Concluding Statements

8. Stand Back and Consider the Conclusions

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False. Analysts should definitely worry about the users' perceptions of the new system during acceptance testing. Acceptance testing is the final stage of software development where the system is tested by end-users to ensure that it meets the specified requirements and is ready for deployment.

During acceptance testing, analysts need to ensure that users find the system easy to use, efficient, and effective in performing the intended tasks. If the users perceive the system to be difficult to use or inefficient, it can lead to user resistance, decreased productivity, and increased costs. Therefore, analysts need to gather feedback from users during acceptance testing and make necessary adjustments to ensure that the system meets the user's expectations. By doing so, analysts can ensure a successful deployment and adoption of the new system.

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Answer: the answe is 7^5

So it’s option 1

Step-by-step explanation:

Answer:

Ans=7⁵

Step-by-step explanation:

8-3=5

When it's division you should always take away

Arya getting blue on both spinners has a 2/16 chance of happening.

A possibility that deals with the occurrence of random occurrences is referred to as probability.

All occurrences must have a chance of occuring at least once, or 1.

P(E) = The proportion of positive outcomes to all outcomes.

Since there are 2 spinners and the total number on them is 8, 8 + 8 equals 16, and the blue one has 1.

we get 1 + 1 = 2.

The likelihood that Arya spins both reels in blue

= desired odds/total odds

=2/16

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Answer:

x = 9

Step-by-step explanation:

\(2x + 3 = 3x - 6\)

\(3 = x - 6\)

\(x = 9\)

Considering the given data, 10 of the next 20 shirts sold would be expected to be green.

Based on the information provided, the proportion of green shirts among the 12 shirts sold is 6/12 = 0.5, or 50%. This means that half of the shirts sold were green in color. If this proportion holds true for the next 20 shirts sold, it is expected that half of the shirts to be green. That is,

( 20*0.5 = 10 shirts )

Therefore based on this data, it is supposed that 10 of the next 20 shirts sold would be green.

"

Correct question:

A T-shirt was on the boardwalk recently sold 6 green shirts and 6 shirts in another color. Considering this data, how many of the next 20 shirts old would you expect to be green?

"

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Answer:

5

Step-by-step explanation:

Substitute and Rewrite the Equation:

K(1)=10-4(1)-(1)^2

Solve Using PEMDAS and Rewrite the Equation:

PEMDAS Stands for (Parenthesis, Exponents, Multiplication, Division, Add, Subtract).

Start to Solve.

K(1)=-10-4-1

Now Subtract:

10-4=6

6-1=5

Hence, the correct answer is 5

You will be calculate the function F(G) = f(g(x)) and G(F) = g(f(x)).

What is function ?

A function is a kind of rule that, for one input, it gives you one output. Image source: by Alex Federspiel. An example of this would be y=x2. If you put in anything for x, you get one output for y. We would say that y is a function of x since x is the input value.

Have given ,

Two functions , f(x) and g(x)

The composition of two functions g and f is the new function we get by performing f first, and then performing g. For example, if we let f be the function given by f(x) = x2 and let g be the function given by g(x) = x + 3, then the composition of g with f is called gf and is worked out as gf(x) = g(f(x)) .

So , You will be calculate the function F(G) = f(g(x)) and G(F) = g(f(x)).

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Answer:

42.857142857143%

or just write 42.85 %

Step-by-step explanation:

Answer:

the GCF of the terms of the polynomial −12y^4 + 8y^3 – 4y^2 is:

4 y^2

Answer:

3200/4500=71.1%

so a 29.9% drop

Hope This Helps!!!

Yes, a function will have more than one inverse.

Given,

Function;

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics and the sciences, functions are fundamental for constructing physical relationships.

Inverse function;

A function that can change into another function is referred to as being inverse or anti. In other words, the inverse of any function "f" will take y to x if it takes x to y in the first place. The inverse function is indicated by f-1 or F-1 if the function is denoted by f or F.

Here,

A function may have more than one inverse, or many functions have inverses that are not functions.

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