I need help with this

Problem 1

It's not clear if the person deposits at the start of the quarter, or at the end of the quarter. I'm going to assume they deposit at the end of the quarter. This means we go with an ordinary future value of annuity.

The formula we use is

F = P*( (1+i)^n - 1)/i

where,

In this case,

So,

F = P*( (1+i)^n - 1)/i

300,000 = P*( (1+0.02)^100 - 1)/0.02

300,000 = P*(312.232305912618)

P = (300,000)/(312.232305912618)

P = 960.823061288088

P = 960.82

You must deposit $960.82 per quarter

If you deposit that amount of money per quarter, for 100 quarters, then you deposited a total of 960.82*100 = 96,082 dollars in total.

The amount of interest is 300,000 - 96,082 = 203,918 dollars

============================================================

Problem 2

We use the same formula from problem 1. This time we know the periodic payment ($250 per month) and we want to find the value of F

More specifically, we have this given info:

So,

F = P*( (1+i)^n - 1)/i

F = 250*( (1+0.006)^360 - 1)/0.006

F = 317,306.360545277

F = 317,306.36

If you deposit $250 per month, for 360 months, then you'll have $317,306.36 in the account.

This includes interest. The total amount deposited, without interest involved, is 250*360 = 90,000 dollars.

Therefore, the amount of interest earned is 317,306.36 - 90,000 = 227,306.36 dollars.

Jonah picked total 626 cherry tomatoes if she licked 287 cherry tomatoes in May and 330 cherry tomatoes in June.

As the mentioned numbers are in hundreds and not in thousands, the number can not be rounded. Now we will need to perform addition to find the total number of cherry tomatoes picked by Jonah combined in May and June.

Total number of cherry tomatoes = 287 + 339

Performing addition to find the total number of cherry tomatoes picked by Jonah

Total number of cherry tomatoes = 626

Therefore, Jonah picked 626 cherry tomatoes combined in May and June.

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Answer:

correct answer it's A

give me a like at least please

The correct domain for the set, D = { -2, -4, 2}.

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

Given:

We have the set = {(-2,5), (-4, 1)(2, 12)}

We know that the domain is usually the input value

as, the the x values in the set is also considered as the domain.

Now, from the set {(-2,5), (-4, 1)(2, 12)} the domain value is

D = { -2, -4, 2}

Hence, the domain is D = { -2, -4, 2}.

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Answer: 2.

Step-by-step explanation;

2.261 rounded to the nearest one is 2. Recall that the nearest ones whole number is the first digit before the decimal point of a number.

Answer:

-x+6≤5

-x≤5-6

-x≤-1

x≤1

Step-by-step explanation:

use length x width x height

EXPLANATION

Let's see the facts:

Bucket diameter = 12 inches

Bucket height = 12 inches

Bench capability = 200lb

Water density = 64.2 pounds/ ft^3

Considering that the bucket is a cylinder, first we need to convert the inches units to feets units:

1 feet = 12 inches

So, the diameter would be:

Diameter = 12inches/12inches/feet = 1 feet

Then, the height would be

Height = 12 inches / 12inches/feet = 1 feet

The volume of a cylinder is given by the following formula:

Substituting terms:

The amount of water that can placed on this bucket is:

Replacing terms:

Answer: The water on the bucket weights 50.4 pounds.

Answer:

9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.

Step-by-step explanation:

An integer that has 12, 20, and 28 as factors must be divisible by the least common multiple (LCM) of these numbers. The LCM of 12, 20, and 28 is 420. So we need to find the number of integers between 2023 and 5757 that are divisible by 420.

The first integer greater than or equal to 2023 that is divisible by 420 is 5 * 420 = 2100. The last integer less than or equal to 5757 that is divisible by 420 is 13 * 420 = 5460. So the integers between 2023 and 5757 that are divisible by 420 are 2100, 2520, ..., 5460. This is an arithmetic sequence with a common difference of 420.

The number of terms in this sequence can be found using the formula for the nth term of an arithmetic sequence: an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, d is the common difference, and n is the number of terms. Substituting the values for this sequence, we get:

5460 = 2100 + (n - 1)420 3360 = (n - 1)420 n - 1 = 8 n = 9

So there are 9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.

Answer:

If the base and the negative exponent is in the denominator already

Step-by-step explanation:

Normally, a base with a negative exponent moves to the denominator.

Example: (2^-3 = 1 / (2)^3 = 1/8)

However, if the base and the negative exponent is already in the denominator, the base would move to the numerator and the exponent would become positive.

Example:  2 / (3)^-3 = 2 * 3^3 = 2 * 27 = 54

The thing that needs to be corrected in the diagram to fix the error is that the third arc should be drawn centered at F.

Given:

Constructing a parallel line to line AB and passing through point P.

To find:

An error occurred in the construction.

The procedure is,

However, the third arc is drawn centered at D. This is wrong.

Therefore, the correct step is that the third arc must be centered at F.

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9514 1404 393

Answer:

  Kim

Step-by-step explanation:

The ratio of Kim's distance to Adrian's distance is ...

  (9/10)/(3/5) = (9/10)/(6/10) = 9/6 = 3/2 = 1.5

__

You need to be very careful with the wording here. Kim ran 1 1/2 times as far as Adrian. That is, she ran Adrian's distance plus 1/2 Adrian's distance.

If we take the wording "1/2 times farther" to mean that 1/2 of Adrian's distance is added to Adrian's distance, then Kim is correct.

_____

In many Algebra problems, you will see the wording "k times farther" to mean the distance is multiplied by k. If that interpretation is used here, neither claim is correct, as Kim's distance is 1 1/2 times farther than Adrian's.

On the other hand, if the value of "k" is expressed as a percentage, the interpretation usually intended is that that percentage of the original distance is added to the original distance. Using this interpretation, Kim's distance is 50% farther than Adrian's. (Note the word "times" is missing here.)

__

Since Adrian ran 1 5/10 the distance Kim ran, Adrian's claim is incorrect regardless of the interpretation. If you require one of the two to be correct, then Kim is.

Answer:

A

Step-by-step explanation:

1

1 " a number x" →x.

2

2 "less than a number x" means to subtract →x−

3

3 "8 less than a number x" means to subtract →x−8.

Answer:

x-0.75x=9.00

-0.74x=9.00

x=0.74+9.00

x=9.74

Step-by-step explanation:

Susannah's data are illustration of measure of central tendencies

(a) The mean

To calculate the mean, she needs to divide the total number of turkey sandwiches sold, by the number of days.

The total is:

\(\mathbf{Total = 73 +88+85+88+99+134+129}\)

\(\mathbf{Total = 696}\)

The number of days is:

\(\mathbf{Day = 7}\)

So, the mean is:

\(\mathbf{Mean =\frac{Total}{Days}}\)

\(\mathbf{Mean =\frac{696}{7}}\)

\(\mathbf{Mean =99.4}\)

Hence, the mean number of turkey sandwiches sold is 99.4

(b) The median

To calculate the median, she needs to arrange the data in ascending or descending order, then select the middle item.

In ascending order, we have: 73, 85, 88, 88, 99, 129, 134

The middle item is 88

So:

\(\mathbf{Median = 88}\)

Hence, the median number of turkey sandwiches sold is 88

(c) The mode

This is the data that occurs most.

From the dataset, 88 appears twice (more than others).

So:

\(\mathbf{Mode = 88}\)

Hence, the mode number of turkey sandwiches sold is 88

(d) The range

This is the difference between the highest and least data

From the dataset,

The highest is 134, and the least is 73

So:

\(\mathbf{Range =134 - 73}\)

\(\mathbf{Range =61}\)

Hence, the range of turkey sandwiches sold is 61

The measure that would be most helpful is the median, because it is not affected by outliers.

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so here we get two outcomes one is 2 and other is 4.

so there is total 2 outcomes.

total no. of possibility is 5

so the probability of waiting between 2 and 4 minutes to use the ATM is 2/5.

Answer:

Letting L = distance per lap

4L + 8 = 6L + 4

2L = 4

L = 2 miles

She runs 16 miles each day

2 miles per Lap = 8 Laps on Saturday

Step-by-step explanation:

Answer:

I don't knows where to go

Answer:

a. A data set with ​14, ​68, and s41.

Step-by-step explanation:

For a normally distributed data set; Q₁ and Q₃ will be 0.6745 × 2 = 1.349 standard deviation.

The interquartile range IQR = Q₃ -  Q₁ = 1.349 × \({\sigma}\)

              Q₁        Q₃          \({\sigma}\)         IQR = Q₃ -  Q₁             1.349 × \({\sigma}\)

a.            14        68          41               = 68 - 14              1.349 × 41

                                                            = 54                   = 55.309

b.         1330      2940      2440         = 2940 - 1330      1.349 × 2440

                                                           = 1610                  = 3291.56

c.         2.2         7.3          2.1            = 7.3 - 2.2             1.349 × 2.1

                                                           = 5.1                   = 2.8329

d.         105        270          33           = 270 - 105          1.349  × 33

                                                          = 165                   = 44.517

From the above calculation, we will see that option a have a data set that is approximately normal.

The given function y = 4(3/8)^x represents exponential decay.

As x increases, the value of y decreases at an increasingly rapid rate, reflecting the decay behavior of the function.

The given function is y = 4(3/8)^x. To determine if the function represents growth, decay, or neither, we need to examine the base of the exponent, which is (3/8).

When the base of an exponential function is between 0 and 1, such as (3/8) in this case, it represents exponential decay. This is because as the exponent (x) increases, the value of the function decreases.

In the given function, the coefficient 4 multiplied by the decaying exponential term (3/8)^x indicates that the function starts with an initial value of 4 and then exponentially decreases. The term (3/8)^x represents the decay factor, where x determines the extent of decay.

Therefore, we can conclude that the given function, y = 4(3/8)^x, represents exponential decay. As x increases, the value of y decreases at an increasingly rapid rate, reflecting the decay behavior of the function.

In summary, the given function y = 4(3/8)^x represents exponential decay.

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Answer:

21x^4 + 8x + 7

Step-by-step explanation:

This is the answer because:

1) Simplify each term and multiply like terms and multiply them because in order to find the area we have to multiply the height and width.

2) Since we have to multiply like terms, 7x^2 and 3x^2 are the only like terms. Therefore, we multiply 7x^2 * 3x^2 = 21x^4.

3) The rest of the numbers are not like terms.

4) Therefore, the answer is 21x^4 + 8x + 7

Hope this helps!

The volume of the paint tank will be equal to 544.752 cubic cm.

Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the cube.

The given data is:-

The volume of the tank will be:-

V  =  ( π / 4 ) d² l

V  =  ( π / 4 ) ( 17 x 17 ) 24

V  =  5447.52 cubic cm

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The firm's federal income tax is $57,168.

To calculate the firm's federal income tax, we need to determine its taxable income first. Taxable income is calculated by subtracting deductions from the firm's total income.

In this case, the firm's total income consists of income from operations, interest income, and dividend income.

Total income:

Income from operations = $231,000

Interest income = $23,100

Dividend income = $29,700

Total income = $231,000 + $23,100 + $29,700 = $283,800

Next, we deduct expenses from the total income. In this case, the only relevant expense is the interest paid to bondholders:

Total expenses = Interest paid to bondholders = $11,000

Taxable income = Total income - Total expenses = $283,800 - $11,000 = $272,800

Now, we can calculate the federal income tax by applying the federal tax rate of 21% to the taxable income:

Federal income tax = Taxable income * Federal tax rate

Federal income tax = $272,800 * 0.21 = $57,168

Therefore, the firm's federal income tax is $57,168.

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Answer:

the capacity of the tank would be 24 L

Step-by-step explanation:

24 ÷ 6 = 4

4 x 5 = 20

Answer:

Answer is D on e2020

Step-by-step explanation:

why does vla statistics have little to no answers available for it?

The statement that is correct is If the missing data value were 50, the range of the data would change substantially. The correct option is D.

The range is the difference between the Maximum value of the data set and the Minimum value of the dataset.

Range = Maximum value of the data set - Minimum value of the dataset

The given data observation from the stemplot is given below.

8, 9, 9, 9, 10, 11, 12, 12, 12, 14, 15, 16, 16, 18, 18, 21, 22, 27, 27, 27, 31

Since IQR or the interquartile range is the difference between the quartiles, therefore, it won't be affected much if either of the two values 32 and 50 are added.

Now, the range of the data without 32 or 50 will be,

Range = 31 - 8 = 23

The range of the data when 32 is added,

Range = 32 - 8 = 24

The range of the data when 50 is added,

Range = 50 - 8 = 42

Hence, the statement that is correct is If the missing data value were 50, the range of the data would change substantially.

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Answer:

33046 students

Step-by-step explanation:

Find how many students attend the college by dividing 24,950 by 0.755

24,950 / 0.755

= 33046.36

Round down, since the answer has to be a whole number:

33046.36

= 33046

So, approximately 33046 students attend the college