Suppose that 2,000 is loaned at a rate of 18.5% , compounded quarterly. Assuming that no payments are made, find the amount owed after 9 years.
Do not round any intermediate computations, and round your answer to the nearest cent.

Answer:

Step-by-step explanation:

Answer:

$230.04

Step-by-step explanation:

216 * 0.065= 230.04

Hello

2/7 = 2x5/7x5 = 10/35

10/35 > 6/35

=> 2/7 > 6/35

The expanded form of 12³ is given as follows:

12³ = 12 x 12 x 12 = 1728 cubic feet.

The volume of a cube of side length a is given by the cube of the side length, as follows:

V(a) = a³.

This expression is equivalent to multiplying the side length of the object by itself twice, as follows:

V(a) = a x a x a.

The side length for this problem is given as follows:

a = 12 feet.

Hence the volume of the cube is given as follows:

V = 12³ = 1728 feet³.

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sorry est un site Web Internet spécialement conçue 4

Answer:

C) Negative

Step-by-step explanation:

This is because the top is left and going right

Answer:

negative

Step-by-step explanation:

Answer:

34 and 17 feet.

Step-by-step explanation:

We have that the volume is given by:

V = x * x * y = (x ^ 2) * y

The surface area of the tank would be: x ^ 2 + x * y + x * y + x * y + x * y

SA = x ^ 2 + 4 * x * y

we know that the volume is 19652, replacing it would remain:

 19652 = (x ^ 2) * y, we solve for y:

y = 19652 / (x ^ 2)

replacing in SA we are left with:

SA = x ^ 2 + 4 * x * 19652 / (x ^ 2)

SA = x ^ 2 + 70608 / x

we derive and equal 0:

SA´ (x) = 2 * x - 70608 / (x ^ 2) = 0

2 * x = 70608 / (x ^ 2)

x ^ 3 = 39304

x = 34

for and would be:

y = 19652 / (34 ^ 2) = 17

dimensions are 34 and 17 feet.

Answer:

The first option is the best

Step-by-step explanation:

1       (1+ 07/4)^4 = 7.186 % annual

2      ( 1+.068/12)^12 = 7.0159 %   annual

3       7.1 %

4       (1 + .069/365)^365 = 7.143

Hello :3

Answer:

C. what is m<ACB

Explanation:

Because you found the angles of ABC and BAC which is 35 and 115, it would only be appropriate to find ACB as well! :)

Hope this helps! ;)

Answer:

c) 13%

Step-by-step explanation:

Given information,

→ The cost of a jacket increased from the price $75.00 to $84.75.

Now we have to,

→ find the % increase of cost of jacket.

Let's solve the problem,

→ ((84.75 - 75)/75) × 100

→ (9.75/75) × 100

→ 0.13 × 100

→ 13%

Hence, the answer is 13%.

Answer:

1 out of 6

Step-by-step explanation:

Each roll of the die is an independent event. This means that the second roll does not rely on the first roll. The probability of rolling a six is one out of six. The probability of rolling a two is also one out of six. Since the two events are independent of each other, you would take the average of the two probabilities, which since they are both one out of six, the probability of rolling a six and then a two is one out of six.

The Kaumajet Factory will allocate $7.20 of factory overhead to each unit of table lamp using the multiple production department factory overhead rate method with an allocation base of direct labor hours.

Two or more expressions with an Equal sign is called as Equation.

Predetermined overhead rate for Finishing Department = $550,000 / 500,000 direct labor hours = $1.10 per direct labor hour

Predetermined overhead rate for Production Department = $400,000 / 80,000 direct labor hours = $5.00 per direct labor hour

For one unit of table lamp, 2 hours of finishing and 1 hour of production are required, so the total direct labor hours for one unit of table lamp is 2 + 1 = 3 hours.

Finishing Department overhead cost per unit of table lamp = 2 hours * $1.10 per direct labor hour = $2.20

Production Department overhead cost per unit of table lamp = 1 hour * $5.00 per direct labor hour = $5.00

Total factory overhead cost per unit of table lamp

$2.20 + $5.00 = $7.20

Therefore, the Kaumajet Factory will allocate $7.20 of factory overhead to each unit of table lamp using the multiple production department factory overhead rate method with an allocation base of direct labor hours.

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The Kaumajet Factory produces two products-table lamps and desk lamps. It has two separate departments - Finishing and Production. The overhead budget for the Finishing Department is $550,000, using 500,000 direct labor hours. The overhead budget for the Production Department is $400,000 using 80,000 direct labor hours.

If the budget estimates that a table lamp will require 2 hours of finishing and 1 hour of production, how much factory overhead will the Kaumajet Factory allocate to each unit of table lamp using the multiple production department factory overhead rate methods with an allocation base of direct labor hours?

a. $4.91

b. $6.33

c. $7.20

d. $5.00

Answer:

2x - y - 7 = 0

Step-by-step explanation:

Given line is passing through the points (-2, 1) & (4, 4)

Slope of given line \( =\frac{-2-4}{1-4}=\frac{-6}{-3}= 2\)

Since, required line is || to given line.

Parallel lines have same slope.

Therefore, slope of required line m = 2

Since, required line is passing through the points \( (2, \: - 3)=(x_1,\:y_1) \)

Equation of line in slope point form is given as:

\( y - y_1 = m(x-x_1) \\

\therefore y - (-3) = 2(x - 2)\\

\therefore y +3=2x - 4\\

\therefore y = 2x - 4-3\\

\therefore y = 2x - 7\\

\huge \purple {\boxed {\therefore 2x - y - 7 = 0}} \\\)

is the equation of the required line.

Considering the definition of distance between two points, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.

The distance between two points is equal to the length of the segment that joins them. Therefore, to determine the distance between two different points, you must calculate the squares of the differences between their coordinates and then find the root of the sum of said squares.

In other words, the distance between two points in space is the magnitude of the vector formed by said points.

So, given the coordinates of two distinct points (x1, y1) and (x2, y2), the distance between two points is the square root of the sum of the squares of the difference of the coordinates of the points:

distance= \(\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\)

In this case, you know:

Replacing in the definition of distance:

distance= \(\sqrt{(5-(-2))^{2} +(-4-1)^{2} }\)

distance= \(\sqrt{(5+2)^{2} +(-5)^{2} }\)

distance= \(\sqrt{7^{2} +(-5)^{2} }\)

distance= \(\sqrt{49+25 }\)

distance= √74= 8.6023

Finally, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.

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Answer:

1/2( x+16)

Step-by-step explanation:

1/2x + 8

Factor out 1/2

1/2*x + 1/2 *16

1/2( x+16)

The ways to elect the candidates from the total is 462

From the question, we have

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 11 and r = 6

Substitute the known values in the above equation

Total = ¹¹C₆

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 11!/5!6!

Evaluate

Total = 462

Hence, the number of ways is 462

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Answer:

The answer would be B :)

Step-by-step explanation:

Answer:I believe it is at least that is what I would

Step-by-step explanation:

The answer is √306

.

Answer:

Step-by-step explanation:

working with the rectangle-triangle in the image (see atached image)\(x^2=15^2+9^2=81+225=306~=>x=\sqrt{306}\)

Answer:

50

Step-by-step explanation:

90 plus 40 is equal to 130, so 180 minus 130 is 50

Answer: 10

Step-by-step explanation:

List out the numbers:

20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40

There are 10 odd numbers

Otherwise a faster method:

Odd numbers occur every other number

There are 40 - 20 = 20 numbers between 20 and 40

20/2 = 10

10 odd numbers

Answer:

x=2

Step-by-step explanation:

10 - (x + 3) = 5

To solve for x, we can start by simplifying the left side of the equation:

10 - (x + 3) = 5

10 - x - 3 = 5

7 - x = 5

Next, we can isolate x on one side of the equation by subtracting 7 from both sides:

7 - x = 5

7 - x - 7 = 5 - 7

-x = -2

Finally, we can solve for x by dividing both sides of the equation by -1:

-x = -2

x = 2

Therefore, the solution to the equation is x = 2.

Answer:

42

Step-by-step explanation:

let's make the missing number x

\(mean = \frac{sum \: of \: numbers}{how \: many \: numbers \: there \: are} \)

\(41 = \frac{48 + 33 + x}{3} \)

multiply 3 on both sides to get rid of the fraction, 41 × 3 = 123

\(123 = 48 + 33 + x\)

simplify the right side, 48 + 33 = 81

\(123 = 81 + x\)

subtract 81 on both sides

\(123 - 81 = x\)

\(x = 42\)

Answer:

total number of pencils = p × n
total number of pencils = 3 × 12 = 36

Step-by-step explanation:

Let's break down the problem into its components. Milan bought packs of pencils, so we can represent the number of packs he bought with the variable "p". We also know that each pack has "n" number of pencils, so the total number of pencils Milan bought can be found by multiplying the number of packs with the number of pencils in each pack.

In mathematical notation, this can be written as:

total number of pencils = number of packs × number of pencils in each pack

or, using the variables we defined:

total number of pencils = p × n

So, if Milan bought 3 packs of pencils and each pack had 12 pencils, the total number of pencils he bought would be:

total number of pencils = 3 × 12 = 36

Answer:

C

Step-by-step explanation:

The median is where we find the number that is in the middle of the data set. In this case, there cannot be a single number in the middle because the number of numbers in this data is even.

Knowing this, we need to add the two numbers that are in the middle (10 and 12). We add these two numbers and divide them by 2

\(\frac{10+12}{2} =\frac{22}{2} =11\)

The measure of the angles are;

<KL = 23 degrees

m<LON is 23 degrees

m<OM = 113 degrees

m<KNL = 23 degrees

m<NL = 157 degrees

To determine the measures of the arc, we need to note the following;

From the information shown in the diagram, we have;

<KL +<KM = 90 degrees

Now, substitute the values

<KL + 67 = 90

collect like terms

<KL = 23 degrees

m<LON and <KL are corresponding angles

Then, m<LON is 23 degrees

m<OM = m<LON + 90 degrees

Substitute the values

m<OM = 113 degrees

m<KNL = 23 degrees

m<NL = 90 + <LM

Substitute the values

m<NL = 157 degrees

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The correct answer is March, as it was the month in which the average number of hours worked by the website designers was closest to 50 hours.

A month is a unit of time typically consisting of 30 or 31 days. It is used for measuring periods of time, for example, when we say something happened "a month ago". Months are used in both the Gregorian calendar and the Julian calendar.

This data was gathered from a survey of website designers, which was conducted to determine the average number of hours each month that these professionals spent working.

In January, the average number of hours worked was 46.5. In February, it was 48.8. However, in March, the average number of hours worked was 49.4, which was the closest to 50 hours. This was followed by April, in which the average was 49.7.

Overall, it can be concluded that March was the month in which the average number of hours worked by website designers was closest to 50 hours. This is important data for website designers, as it allows them to understand the amount of time they should be spending on their work in order to be successful. It also helps employers gauge the workload of their website designers and ensure they are providing an adequate amount of work.

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The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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