Investments increase exponentially by
about 60% every 6 years. If you start
with a $2,500 investment, how much
money would you have after 18 years?
Future Amount = $[? ]
←time
Hint: Future Amount = 1(1+r) periods
initial growth
amount rate
Round to the nearest dollar.
Enter

Answer:

cause u are nice

Step-by-step explanation:

The total charges for a week = 2313.25

Given,

charges per oil change = 33.95

charges for a four-cylinder engine = 72.50

charges for a six-cylinder engine = 82.50

charges for a eight- cylinder engine = 92.50

No of oil changes done by Charlene = 35

price of 5 - four cylinder engines = 5 × 72.50

= 362.50                                .....(1)

price of 7 - six cylinder engines = 7 × 82.50

= 577.50                                ........(2)

price of 2 - eight cylinder engines = 2 × 92.50

= 185                                       ...........(3)

Now, adding (1), (2),(3)

= 362.50 + 577.50 + 185

= 1125                                        ...........(4)

Total charges for oil = 33.95 × 35

= 1188.25                                  ..........(5)

Adding (4) and (5)

= 1125 + 1188.25

= 2313.25

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Answer:

$414

Step-by-step explanation:

We know that Heather made $299 for 13 hours of work.

So, to find how much Heather will make for 18 hours of work at the same rate, we can write and solve for the following proportion:

\(\frac{299}{13}=\frac{x}{18}\)

Notice that we align the rates vertically and the measurements horizontally (dollars in the numerator and hours in the denominator).

So, to find how much Heather will make for 18 hours, we will solve for x. Cross-multiply:

\(13x=5382\)

Divide both sides by 13:

\(x=\$414\)

So, Heather will make $414 for 18 hours of work.

And we're done!

→ 6x = 48

→ x = 48/6

→ x = 8

HOPE THIS HELPS YOU

Follw me = 10 thanks

Mark as brainliest = 10 thanks

1 thanks to me = 2 thanks

The requried Burger Quick is able to estimate its wait time more consistently because it has a smaller IQR. Option A is correct.

A straightforward method of expressing statistical data on a plot in which a rectangle is drawn to represent the second and third quartiles, with a vertical line inside to indicate the median value.

Here,
Burger Quick is able to estimate its wait time more consistently because it has a smaller interquartile range (IQR). The IQR is a measure of the spread of the middle 50% of the data and is calculated as the difference between the third quartile (Q3) and the first quartile (Q1). The smaller the IQR, the more consistent the data is around the median, which is represented by the line within the box in the box plot.

In this case, Burger Quick has a smaller IQR (8.0) compared to Super Fast Food (7.0), indicating that the wait times at Burger Quick are more consistent around the median. The range, which is the difference between the maximum and minimum values, is not a good measure of consistency as it is affected by outliers.

Therefore, based on the given information, Burger Quick is able to estimate its wait time more consistently because it has a smaller IQR.

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Therefore, the researcher can conclude that there is a significant difference between the placebo group and the supplement group, and the supplement is effective in decreasing the proportion of patients experiencing dry eye.

The best interpretation of p-value obtained from the well-designed experiment of a researcher testing whether a supplement decreased the proportion of patients experiencing dry eye by comparing a placebo group to a supplement group is that the p-value of .032 is significant and the supplement significantly decreases the proportion of patients experiencing dry eye. A p-value is the probability of observing a statistic or more extreme in a sample, given that the null hypothesis is true. In other words, it is the probability of obtaining a test statistic as extreme or more extreme than the observed data under the null hypothesis.The lower the p-value, the stronger the evidence against the null hypothesis.

A p-value of .032 means there is only a 3.2% chance that the difference between the two groups occurred by chance alone if the null hypothesis was true. If the null hypothesis was true, we would expect to see this kind of difference by chance alone only 3.2% of the time. Therefore, we can reject the null hypothesis and conclude that the supplement significantly decreases the proportion of patients experiencing dry eye.

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The truck's displacement and distance traveled are 50 km S and 150 km, respectively.

When a truck moves 100 km due south and turns 180° and drives 50 km due north.

We need to find its displacement and distance traveled, respectively.

When the truck moves 100 km due south, then the displacement will be 100 km south.

Again, the truck turns 180° and drives 50 km due north which means the displacement will be 50 km north.

So, the resultant displacement will be 50 km north - 100 km south= -50 km south.

Since the negative sign means it is in the opposite direction of the original direction.

Hence, the displacement is 50 km to the south of the initial point.

The distance traveled will be the sum of the distances covered during the two trips made by the truck.

The first trip covers a distance of 100 km, and the second trip covers a distance of 50 km.

So, the total distance traveled will be 100 km + 50 km = 150 km.

Therefore, the truck's displacement and distance traveled are 50 km S and 150 km, respectively.

Hence, the correct option is a. 50 km S,150 km.

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Answer:

A'(2,5)

Step-by-step explanation:

The position of point A is at (-2,5), and when you reflect it over the y-axis, you just have to switch the signs of the x-coordinate value.

Answer:

A'(2, 5)

Step-by-step explanation:

If the triangle is reflected over y-axis, the y-axis will be a symmetry line then the distance between A and y will remain the same but opposite sign which is 2 units ( -2 become 2 )

a) i)P(X > 18)= 0.65542

ii)P(7 < X < 15)=0.154

b)The value of a using the standard normal table or a calculator is 12.875

c)the value of b using the standard normal table or a calculator is 9.8

a) Let X be the normal random variable with mean μ = 20 and standard deviation σ = 5. We have to find P(X > 18) and P(7 < X < 15).

(i) P(X > 18)

This can be calculated using the standard normal table or a calculator as follows:

z = (18 - μ)/σ

= (18 - 20)/5

= -0.4

P(X > 18) = P(Z > -0.4)

= 1 - P(Z ≤ -0.4).

Using the standard normal table or a calculator, P(Z ≤ -0.4) = 0.34458

Therefore, P(X > 18) = 1 - 0.34458 = 0.65542

(ii) P(7 < X < 15). This can be calculated using the standard normal table or a calculator as follows:

z₁ = (7 - μ)/σ

(7 - 20)/5 = -2.6z₂

(15 - μ)/σ = (15 - 20)/5

= -1

P(7 < X < 15) = P(-2.6 < Z < -1)

= P(Z < -1) - P(Z < -2.6)

Using the standard normal table or a calculator,

P(Z < -1) = 0.15866P(Z < -2.6) = 0.00466

Therefore, P(7 < X < 15) = 0.15866 - 0.00466 = 0.154

b) We have to find the value of a such that

P(20 - a < X < 20 + a) = 0.99.

This can be calculated as follows:

z₁ = (20 - a - μ)/σ

= (20 - a - 20)/5

= -a/5z₂ = (20 + a - μ)/σ

= (20 + a - 20)/5 = a/5

We need to find a such that

P(z₁ < Z < z₂) = 0.99

Using the standard normal table or a calculator,

P(Z < z₂) - P(Z < z₁) = 0.99P(Z < a/5) - P(Z < -a/5) = 0.99

This can be rewritten as

P(Z < a/5) - [1 - P(Z < a/5)] = 0.99P(Z < a/5) - P(Z < -a/5) = 0.995

From the standard normal table or a calculator,

P(Z < 2.575) = 0.995P(Z < -2.575) = 0.005

Therefore,

2.575 = a/5 or -2.575 = -a/5a = 12.875

Therefore, the value of a is 12.875.

c) We have to find the value of b such that P(20 - b < X < 20 + b) = 0.95.

This can be calculated as follows:

z₁ = (20 - b - μ)/σ

= (20 - b - 20)/5

= -b/5z₂

= (20 + b - μ)/σ

= (20 + b - 20)/5 = b/5

We need to find b such that

P(z₁ < Z < z₂) = 0.95

Using the standard normal table or a calculator,

P(Z < z₂) - P(Z < z₁) = 0.95P(Z < b/5) - P(Z < -b/5) = 0.95

This can be rewritten as

P(Z < b/5) - [1 - P(Z < b/5)] = 0.95P(Z < b/5) - P(Z < -b/5) = 0.975

From the standard normal table or a calculator,

P(Z < 1.96) = 0.975P(Z < -1.96) = 0.025

Therefore,1.96 = b/5 or -1.96 = -b/5b = 9.8

Therefore, the value of b is 9.8.

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The internal rate of return on the investment for Burgundy Basins is 13.33%.

The internal rate of return on the investment for Burgundy Basins represents the percentage return expected from the investment, which is 13.33% in this case. It indicates the rate at which the investment's net present value is zero, meaning it is expected to generate returns equal to its cost. This makes the investment financially attractive as it offers a return higher than the company's cost of capital.

Burgundy Basins, a sink manufacturer, is considering an average-risk investment worth $36 million. The investment is projected to generate a perpetual annual return of $4.8 million. To evaluate the attractiveness of the investment, the internal rate of return (IRR) is calculated. The IRR represents the rate at which the net present value of the investment becomes zero.

In this case, the IRR is determined to be 13.33%, indicating that the investment offers a return higher than its cost. This implies that the investment is financially viable and can potentially enhance the company's profitability. However, it's important to note that other factors such as market conditions and potential risks should also be taken into consideration before making a final decision.

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Answer:

listen when in doubt go with c

Step-by-step explanation:

Answer:

A.1

Step-by-step explanation:

I did a check digit calculator and it said that this would be the check digit

The check digit is 1.

Step-by-step explanation:

The check digit on credit is calculated by the following step:

Given:

The creditcard number: 6424 9813 2720 008d

To find :

Check digit,d

Solution:

6424 9813 2720 008d

Marking odd and even places from right side:

(e:even place,o:odd place)

e,o,e,o     e,o,e,o     e,o,e,o     e,o,e,o

6 4 2 4     9 8 1 3     2 7 2 0     0 0 8 d

Multipling every even place digit with '2'.

12,4,18,2,4,4,0,16

If two digit number then add both digits to have single digit

12,4,18,2,4,4,0,16 → 1+2,4,1+8,2,4,4,0,1+6 → 3,4,9,2,4,4,0,7

Now adding all the digits obtained in prevoius step with digits at odd place:

(3+4+9+2+4+4+0+7)+(4+4+8+3+7+0+0)= 59

The next multiply of 10 can be obtained by adding 1 to '59' that is 60. So, the check digit will be'1'.

59+1 = 60

(60 is a multiple of the number '10'.)

The check digit is 1.

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Answer:

The answer is -1 and 2

Step-by-step explanation:

-4x+11=-2(x+3.5)

-4x+11=-2x+7

11=2x+7

2

Answer:

4

Step-by-step explanation:

the more sections there are the less of a chance the same section ould be landed on so many times. Its almost impossible to land on one of 400 25 times

Answer:

106,275,100

Step-by-step explanation:

you say if 100= 25 what about 4 25 100 400

=106,275,100

9514 1404 393

Answer:

Step-by-step explanation:

Let x and y represent the numbers of forks and spoons made, respectively.

The cost of materials is ...

  1.70x + 1.30y = 37.90

The revenue from sales is ...

  5.60x + 5.40y = 147.20

You can solve these by any of your favorite methods. A graph is attached. It shows the solution is (x, y) = (7, 20).

They made 7 forks and 20 spoons.

_____

Additional working out

The equation coefficients are not "nice" multiples of each other, so elimination  and substitution will require multiplying both equations by some numbers. If we're going to that trouble, we may as well use Cramer's Rule or a variation of the "cross multiplication method". The latter is relatively straightforward and can be easy to remember. It tells you the solution to ...

  ax +by +c = 0

  dx +ey +g = 0

is ...

  1/(ae-db) = x/(bg-ey) = y/(cd-ga)

Here, that becomes ...

  1/(1.70·5.40-5.60·1.30) = x/(1.30·(-147.20)-5.40·(-37.90))

  = y/(-37.90·5.60-(-147.20·1.70))

  1/1.9 = x/13.3 = y/38

  x = 13.3/1.9 = 7 . . . number of forks

  y = 38/1.9 = 20 . . . number of spoons

__

The above solution formula may be more easily remembered in terms of the cross-multiplication pattern that gives the method its name. When the coefficients are written in two rows of four, with the last being a repeat of the first:

each of the three denominators (of 1, x, and y) is the difference of products in adjacent columns, formed in an X fashion: ae-db, bg-ec, cd-ga. Note that the equations are written in "general" form, which is similar to "standard" form, but with all of the non-zero terms on the left of the equal sign. (This has the effect of changing the sign of the constants: 1.7x+1.3y=37.9 ⇒ 1.7x+1.3y-37.9=0)

Answer:6

Step-by-step explanation:

Divide 48 by 8 and you should get 6

Answer:

6

Step-by-step explanation:

If the race car go around the track 48 times in 8 minutes, to calculate the number of times in per minute 48 should be devided by 8.

48/8

= 6

Answer:

1.41

Step-by-step explanation:

Answer:

Use the pythagorean theorem,

a^2+b^2=c^2

1^2+1^2=c^2

1+1=c^2

2=c^2

2=2

Square root of 2 is 1.41 (approximately)

c=1.41

Step-by-step explanation:

The chance model asserts that the long-run proportion of an event is equal to the probability of that event. In other words, if we repeatedly conduct an experiment under the same conditions, the proportion of times that the event occurs over the long run should converge to the probability of the event.

For example, if we flip a fair coin many times, the chance model asserts that the proportion of heads should approach 0.5 as the number of coin flips increases. This is because the probability of flipping heads on a fair coin is 0.5, and over the long run, the proportion of heads should converge to this probability.

The chance model is a fundamental principle in probability theory, and it is used to make predictions about the outcomes of random events. It provides a way to quantify the uncertainty associated with an event and to reason about the likely outcomes of an experiment.

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Answer:

The first one

\( log_{11} \: (x)\)

Step-by-step explanation:

f(x) = 11^x

Here are the steps to find the inverse of a function:

1. Let f(x)=y

2. Make x the subject of formula.

3. Replace y by x.

\(11 {}^{x} = y \\ \: log(11 {}^{x} ) = log(y) \\ x log(11) = log(y) \\ x = \frac{ log(y) }{ log(11) } = log_{11}(y) \\ f {}^{ - 1} (x) = log_{11}(x) \)

Each of Polina's juice pouches holds 7 fluid ounces of juice. A equation that connects the quantity of juice in each pouch to the overall amount in fluid ounces is p-7j=0.

Given that,

Each of Polina's juice pouches holds 7 fluid ounces of juice.

We have to create a equation that connects the quantity of juice in each pouch (p) to the overall amount (j) in fluid ounces.

The equation is p=7j

p-7j=0

Therefore, a equation that connects the quantity of juice in each pouch (p) to the overall amount (j) in fluid ounces is p-7j=0.

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Answer:

The roots of the equation
\(x^{3}-10x^{2}+31 x-30 = 0\)

correspond to the x-intercepts of the function graph

Step-by-step explanation:

The roots of the equation
\(x^{3}-10x^{2}+31 x-30 = 0\)

are x = 2, x = 3, x = 5

which are located at points (2, 0), (3, 0), (5,0)

These points are the x-intercepts of the graph of the equation
So the x-intercepts of the equation are the roots of the equation

I have graphed this using Geogebra which I am familiar with. You should probably use Desmos as per the instructions

There are total 30 tadpoles in the pond.

What do you mean by ratio?

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0.

A proportion is an equation that sets two ratios at the same value.

How do you calculate ratio?

The steps of calculating a ratio are as follows:

Establish the ratio's function. Choosing what you want your ratio to show should be your first step. Every ratio will use a different set of data, so you need to make sure you are using the right data to provide you with the information you need.

Organize your formula. Ratios contrast two figures by ordinarily dividing them. A/B would be your formula if you were comparing one data point (A) to another data point (B). This implies that you are segmenting information A.

It is given that there are total 18 swans in the pond and the ratio of newts to swans to tadpole is 2:3:5

So, let number of newts be 2x

number of swans be 3x

number of tadpoles be 5x

According to question:

3x = 18

x = 18/3

x = 6

Number of tadpoles = 5x = 5(6) = 30

Therefore, there are total 30 tadpoles in the pond.

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Answer: B. 12

Step-by-step explanation: Cause we have to subtract because let see 48+12=60 so we have to subtract each numbers with 12.

Answer:

22

Step-by-step explanation:

Answer:

I need help with this I don’t understand it

Step-by-step explanation:

Answer:

9:00 pm to 6:45 am = 9 hours 45 minutes = 9.75 hours

Water level drops 3/16" (or .1875") every 9.75 hours

.1875 / 9.75 = 0.0192307692  inches per hour

Step-by-step explanation:

To use systematic random sampling to select dealers from the list of 35 members, we start with the 5th dealer and then select every 6th dealer thereafter. This means we would select dealers numbered 04, 10, 16, 22, 28, and 34. These 6 dealers would be included in the sample for estimating the mean revenue from dealer service departments.
To perform a systematic random sampling of the 35 Metro Toledo Automobile Dealers Association members, you will start with the 5th dealer and select every sixth dealer after that. The dealers included in the sample are as follows: 5, 11, 17, 23, 29, and 35.

random sample  is a subset of individuals (a sample) chosen from a larger set (a population) in which a subset of individuals are chosen randomly, all with the same probability. A simple random sample is an unbiased sampling technique. Simple random sampling is a basic type of sampling.

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Answer:  99-99=0

Step-by-step explanation:

   432,234   432-234=  

   198,891   891-198 =693

   693,396   693-396 =297

   297,792   792-297= 495

   495,594   594-495=99

   99-99=0

Answer:

the answer is A

Step-by-step explanation:

to find the function of the ordered pairs, the first number (X) each of the pairs need to be the same, and the (y) or second numbers all need to be different.

like

for B- (1,2) (7,9) (5,8) (1,7) - for it to be a function all the first numbers would have had to be 1 or all them should have been the same first number.

for A- (3,3) (3,2) (3,1) (3,0)- its a function because the first numbers are all the same- all 3s- and the second numbers are all different.

hope this helped!