Solve for j.
j+ 14
6
=4
Submit

First change m to cm

1m = 100cm

3m = 300cm

25cm to 300cm

1cm to 12cm

Answer:

rotation

Step-by-step explanation:

Math Math Math Math mTh

Answer: the trust store, because  a smaller denominator is a bigger fraction.

1) The determination of the amount of the interest expense in each alternative is as follows:

Alternative A:   $6,400

Alternative B:   $6,356.82

2) The determination of the proceeds received by the borrower in each alternative, based on their present values, is as follows:

Alternative A:   $480,000

Alternative B:   $473,643.18

                                    Alternative A   Alternative B

Note Payable                 $480,000       $480,000

Maturity period               60 days            60 days

Interest /Discount rate   8%                     8%

Calendar Year = 360 days

The amount received  $480,000         $473,643.18 (PV)

Interest paid                     $6,400             $6,356.82

Interest = $6,400 ($480,000 x 8% x 60/360)

N (# of periods) = 60 days

I/Y (Interest per year) = 8%

PMT (Periodic Payment) = $0

FV (Future Value) = $480,000

Results:

PV = $473,643.18

Total Interest $6,356.82

Thus, the borrower received $480,000 using alternative A and $473,643.18 with alternative B based on the present value of the future cash flow.

Learn more about borrowing alternatives and present value at https://brainly.com/question/15904086

#SPJ1

1) Determine the amount of the interest expense in each alternative.

2) Determine the proceeds received by the borrower in each alternative.

The volume of the cube given the length of each edge is 8/27 units³.

A cube is a three-sided object that has six faces, eight vertices and twelve edges. The six faces of a cube have the shape of a square. Thus, the length, width and height of a cube have the same dimensions. The angle between any two face in a cube measures 90 degrees. A cube is also known as a regular hexahedron.

A cube is one of the five platonic solids. A platonic solid is a solids that are made up of equivalent faces that are made up of congruent convex regular polygons.

Given the length of each edge of a cube, the volume can be determined by multiplying the given length edge by itself three times. Or by find the cube of the given length edge.

Volume of the cube = length edge³

2/3³ = 8/27 units³

To learn more about cubes, please check: https://brainly.com/question/11168779

#SPJ1

Answer:

[tex]7\frac{2}{7}[/tex] sections of fence

Step-by-step explanation:

since we are trying to find how many sections we need and we are given the total length of the yard and the length of each section of the fence, we are going to divide.

you want to divide the 34 yards into the 4 2/3 feet. to make this easier, we can turn 4 [tex]\frac{2}{3}[/tex] into a mixed number. to do this we multiply the 4 by the denominator which is the number on the bottom and add it to the numerator which is the number at the top.

4x3=12

12+2 = 14

[tex]\frac{14}{3}[/tex]

[tex]\frac{34}{1}[/tex] ÷[tex]\frac{14}{3}[/tex]

to divide fractions we multiply by the reciprocal which would be

[tex]\frac{34}{1}[/tex]×[tex]\frac{3}{14}[/tex]

now we just multiply across

34x3= 102

1x14=14

[tex]\frac{102}{14}[/tex]

now the furthest we can simplify this is by dividing the whole thing by 2

51/7

now we turn this back into an improper fraction

we get [tex]7\frac{2}{7}[/tex]

you will need to buy [tex]7\frac{2}{7}\\[/tex] sections of fence

Answer: The answer is -4

Step-by-step explanation: The answer is -4 because you when you substitute x for -5(2) and y for -2(3). Which then equal -10 and the -6 turns into a positive 6 which then leads to -10+6 and equals -4!

Hope this Helps :D

By taking a quotient, we can see that while he works, he uses 1.4 ballons per minute to make scultures, so the unit rate is 1.4 balloons/minute.

The unit rate refers to the quotient between two quantities, if we want to find the rate for ballons per minute, we need to take the quotient between the number of ballons that he uses and the total time in which he does that. The unit rate will tell us how many ballons he uses per minute

Here we know that he uses a total of 252 balloons, and he does that in a total time of 180 minutes, then the unit rate is just the quotient:

R = (252 ballons)/( 180 min)= 1.4 ballons/minute

This means that while he works, he uses 1.4 balloons per minute to make sculptures, so the unit rate is 1.4 balloons/minute.

Learn more about unit rate:

https://brainly.com/question/19493296

#SPJ1

The length of the side of the square cut from the box is 7 cm.

For the given question;

The dimension  of the box is;

Length = 60 cm.

Breadth = 40 cm.

Then the area of the base of the rectangular box before cutting is;

Area =  length×breadth

Area = 60 × 40

Area = 2400 cm².

Let the side of the square cut be 'x'

Then the area of one square is x².

As, square is being cut from each corner, thus the total area will be; 4x².

The area of resulting base after square is cut is 2204 cm².

Thus, the area of cut square = old area - resulting area

Area cut = 2400 - 2204

Area cut = 196

Thus, Area cut = total area of 4 square.

Area cut = 4x²

4x² = 196

On solving;

x = 7.

Thus, the length of each square cut from the rectangle is 7 cm.

To know more about the rectangle, here

https://brainly.com/question/18785948

#SPJ9

Answer: 17, 28, 39, 50, ..., 11n+6

Step-by-step explanation:

17, 28, 39, 50, ...

28-17=11

39-28=11

50-39=11

Hence,

This is an arithmetic progression where a₁=17 and d=11

Use the formula for an arithmetic progression:

[tex]a_n=a_1+(n-1)d\\a_n=17+(n-1)11\\a_n=17+11n-11\\a_n=11n+6[/tex]

The answer for the given function f(6)= square root of 6 is 2.449 approx.

Given :

f(6) = square root of 6

A function relates an input to an output. In simple word it is a relation between a set of inputs having one output each.

 "f(x) = ... " is the classic way of writing a function.

f(6) = √6

To determine the f(6) = √6 we will solve the square root of 6.

So, the value of √6 will be 2.449 approx.

Then,

f(6) = √6

f(6) = 2.449

To learn more about functions visit :

https://brainly.com/question/546248

#SPJ9

On solving the inequalities The solution for this is option D

(D)All real numbers

For this case we must find the solution set of the following inequalities:

The solution is given by all values of x greater than -5.

The solution is given by all values of x greater than -5.

This is the union of both the inequalities a hence all the real numbers will justify the inequalities.

Then, the solution set is given by all real numbers.

Read more about inequalities here:

https://brainly.com/question/20383699

#SPJ4

The true statement about the minimum or maximum value of the given function is that: A. the function has a maximum value of 1.

A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for mapping an input variable to an output variable.

The maximum value of a function can be defined as a point on the graph where the function reaches its highest point. This ultimately implies that, the maximum value of a function refers to its vertex on a graph.

In conclusion, the true statement about the minimum or maximum value of the given function is that the function has a maximum value of 1.

Read more on maximum value of a function here: https://brainly.com/question/12305099

#SPJ1

Complete Question:

Which is the minimum or maximum value of the given function?

A. The function has a maximum value of 1.

B. The function has a minimum value of 1.

C. The function has a maximum value of -2.

D. The function has a minimum value of -2.

The ratio of isaiah,s liabilities is less than 1.

Let , isaiah has total debt (not including mortgage) is $7,410.

Her net worth (not including his home) is $21,000.

Therefore, his debt-to-equity ratio is $7,410 divided by $21,000, or 0.35.

therefore, this ratio is less than 1, isaiah has not reached the upper limit of debt obligations.

Your net worth can be calculated by subtracting all of your debts and liabilities from your assets. You may have items that are intangible or difficult to sell that may be excluded from calculations used by financial institutions to determine loan eligibility.

the difference between your assets and your liabilities is your net worth. The formula looks like this: (Sum of the current value of all assets) - (Sum of the current total of all outstanding liabilities) = Net worth.

The net worth of a business is also known as its book value, or as its owners' (stockholders') equity. This figure can be computed relatively easily using information found on a company's balance sheet. However, even if the balance sheet isn't available, you can still calculate a business' net worth if you have some basic financial information.

to know more about savings;

visit;brainly.com/question/28607300

#SPJ9

Answer:

£105.04

Step-by-step explanation:

To round an amount to the nearest cent, check the value of its thousandths. If the value is equal to 5 or greater, increase the value in the cent’s place by 1 and then remove all digits to the right after the second decimal place. If the value is equal to 4 or less, simply remove all the digits to the right after the second decimal place. For example with £105.035 the thousandths’ value is 5, so we round up: £105.035 -->  £105.04

Answer: y= 3/5x-5

slope is 3/5

Step-by-step explanation:

Step-by-step explanation: I hope this helps.

Answer:

The numerical length of HJ is 33

The given parameters;

distance of HI = x

distance of HJ = 3x - 9

distance of IJ = x + 5

To find:

the numerical length of HJ

A sketch of the positions of the line segments is shown below;

|<-----x------->|<--------------------------x+5------------------------------>|

H---------------I----------------------------------------------------------------J

The value of x will be calculated by setting up the following equation;

HI + IJ = HJ

x + x + 5 = 3x - 9

2x + 5 = 3x - 9

collect similar terms together;

2x - 3x = -9-5

-x = -14

x = 14

The numerical length of HJ is calculated as;

HJ  = 3(14) - 9

HJ = 42 - 9

HJ = 33

Thus, the numerical length of HJ is 33

A line segment is a section of a line with two ends and a fixed length. It differs from a line that has no beginning or end point and can be stretched in both directions.

The length of a number in base is the number of digits in the base-number for, as determined by the formula. The multiplicative persistence of an. digit is also known as its length.

A line segment in geometry is defined as two different points on a line. A line segment is a section of a line that links two points. A line has no endpoints and stretches in both directions indefinitely, but a line segment has two fixed or definite endpoints.

To learn more line segment  visit:https://brainly.com/question/25727583

#SPJ9

The final expression after using a common factor is:

Option C - one-sixth times x times y times the quantity x squared plus 5 times y end quantity

i.e (1/6)xy ( x² + 5y )

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

We have,

one-sixth times x cubed times y plus five-sixths times x times y squared.

This can be written as:

(1/6)x³y + (5/6)xy²

Taking out (1/6)xy as the common factor.

(1/6)xy ( x² + 5y )

Thus the expression after using a common factor is:

one-sixth times x times y times the quantity x squared plus 5 times y end quantity

i.e (1/6)xy ( x² + 5y )

Learn more about expressions here:

https://brainly.com/question/4532853

#SPJ1

Answer:

Option c it's obvious

Step-by-step explanation:

Answer:

diameter

Step-by-step explanation:

The chord of a circle that passes through the center is the diameter.

all them correct right

Answer:345600000000

Step-by-step explanation:

The proper format for scientific notation is a x 10^b where a is a number or decimal number such that the absolute value of a is greater than or equal to one and less than ten or, 1 ≤ |a| < 10. b is the power of 10 required so that the scientific notation is mathematically equivalent to the original number.

Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.

Count how many places you moved the decimal point. This number is b.

If you moved the decimal to the left b is positive.

If you moved the decimal to the right b is negative.

If you did not need to move the decimal b = 0.

Write your scientific notation number as a x 10^b and read it as "a times 10 to the power of b."

Remove trailing 0's only if they were originally to the left of the decimal point.

Example: Convert 357,096 to Scientific Notation

Move the decimal 5 places to the left to get 3.57096

a = 3.57096

We moved the decimal to the left so b is positive

b = 5

The number 357,096 converted to scientific notation is 3.57096 x 10^5

The equation of line in the slope intercept form is;  y = 3x - 45.

The equation of the line in slope intercept form is;

(y - y₁) = m(x - x₁)

The given coordinates are-

(x₁ ,y₁) = (-9, 12)

the slope of the line is;

slope = m = 3.

Put the values in the equation;

y - (-9) = 3(x - 12)

y + 9 = 3x - 36

y = 3x - 36 - 9

y = 3x - 45

Therefore, the equation of line in the slope intercept form is;

y = 3x - 45.

To know more about the point slope form, here

brainly.com/question/24907633

#SPJ9

The truck takes a time of 1 longer to complete the delivery than that of the vehicle.

We are given the function that represents the distance (in miles) of the car from the starting point after x hours as;

C(x) = -72|x - 5| + 360

Now, at a time of x = 5 hours, the distance covered by the car is;

C(5) = -72|5 - 5| + 360

C(5) = 0 + 360

C(5) = 360  miles

Thus, the car covers a distance of 360 miles in 5 hours

Now, from the given graph that represents the truck’s distance from the starting point, we see that after 6 hours, it has covered 360 miles. Thus, we say that the truck covers 360 miles in 6 hours.

Thus, the truck takes 1 longer to complete the delivery than that of the vehicle.

Read more about Linear Functions at; https://brainly.com/question/15602982

#SPJ1

The amount that Laura will earn for the week based on the information is $534.

Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

As an illustration, the phrase x + y is one where x and y are terms with an addition operator in between. There are two sorts of expressions in mathematics: numerical expressions, which only contain numbers, and algebraic expressions, which also include variables.

In a mathematical expression, the following terms are used:

An absolute numerical number is referred to as a constant.

A symbol without a set value is referred to as a variable.

A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.

In an expression, a coefficient is a number that is multiplied by a variable.

It should be noted that Laura works 40 regular hours and 3 hours overtime.

Therefore, the amount that she earns will be:

= (40 × $12) + (3 × $18)

= $480 + $54

= $534

The amount that she earns is $534.

Learn more about expressions on:

brainly.com/question/25968875

#SPJ1