Webster Digital received a promissory note of $8,000 for 9 months at 7% simple interest from one of its customers. After 4 months, the note was discounted at Bank of Aventura at a discount rate of 10%. What are the proceeds Webster Digital will receive from the discounted note? (Round to the nearest cent)

Any ratio can be simplified into its simplest form by dividing the numerator and denominator by the common factor.

The given ratio is 16:24. To bring the ratio in its simplest form we will look for the factors of 16 and 24 and look for the greatest number that divides both 16 and 24.

The  greatest number that divides both 16 and 24 is 8.

16÷8=2

24÷8=3.

The ratio 16:24 in its simplest form is 2:3

The solution for the ratio in the simplest form is, 2 : 3

Given that,

16:24 is the specified ratio.

Now, By finding the largest integer that divides both 16 and 24 and the factors of 16 and 24, we may reduce the ratio to its most basic form.

Hence, 8 splits both 16 and 24 to the maximum possible extent.

So, we get;

16 / 8 = 2

24 / 8 = 3

Thus, the simplest form of the fraction is,

⇒ 16 : 24

⇒ 16 / 24

⇒ 2 / 3

It can be written as,

⇒ 2 : 3

So, the simplest form is,

⇒ 2 : 3

Learn more about the ratio visit:

https://brainly.com/question/12024093

#SPJ6

Final answer:

The delta sign (Δ) in mathematics indicates a change in a certain quantity, calculated by subtracting the initial value from the final value, commonly used for indicating displacement in physics.

Explanation:

The delta sign (uppercase Greek letter delta, Δ) is commonly used in mathematics to denote a change in a certain quantity. When we say Δx, it signifies the 'change in x' or the difference between the final and initial values of 'x'. This is typically calculated by subtracting the initial value xo from the final value xf. For instance, if we're calculating displacement, which is a change in position, we subtract the starting position xo from the ending position xf to get Δx. The SI unit for displacement is the meter, but other units such as kilometers may also be used, requiring conversion to meters for consistency in calculations.

Answer:

m∠EFH=134

Step-by-step explanation:

FH bisects ∠GFI

So m<GFH=m<HFI

m∠EFG = 4y + 8 and m∠HFI = 2y + 6

m<GFH=2y+6

[tex]m<EFG+m<GF+m<HFI= 180[/tex] because its a linear pair

[tex]4y+8+2y+6+2y+6=180[/tex]

combine like terms and solve for y

[tex]8y+20=180[/tex]

Subtract 20 from both sides

[tex]8y=160[/tex]

Divide both sides by 8

y=20

m∠EFH=m<EFG+m<GFH

m∠EFH=[tex]4y+8+2y+6=6y+14=6(20)+14=134[/tex]

5/6 divided 1/6, this is the correct answer

Final answer:

After calculating 50% of $25.99, which is approximately $13, we find that the estimated sale price of the video game is $13. Therefore, if the student has $14, they will have enough money to buy the discounted video game.

Explanation:

The student is asking whether $14 would be enough to purchase a video game that is on a 50% off sale from its original price of $25.99. To find the sale price, we can take 50% of the original price and subtract it from the original price itself.

First, calculate 50% of $25.99: (0.50) imes $25.99 = $12.995. Since we are estimating, round the 50% value to $13. Now, subtract that from the original price to get the sale price: $25.99 - $13 = $12.99 (rounded to $13 for easier calculation).

In this estimate, the sale price is $13, which means that if the student has $14, they would have enough money to buy the video game on sale because $14 is greater than $13. Therefore, they will have $1 left after the purchase.

5/6 + 3/4

5/6 = 10/12

3/4 = 9/12

10/12 + 9/12 = 19/12 = 1 7/12 pounds total

Answer: the answer is 1 7/12 pounds

Step-by-step explanation:

Because 5/6+3/4=1 7/12

Answer:

The value of f(-2) is, -2

Step-by-step explanation:

The graph which is shown on the coordinate plane passes through the two points i.e, (2,0) and (0, -1).

First find the equation for this line:

Using Point-Slope form for the equation of line: [tex]y-y_{1}=m(x-x_{1})[/tex]  ..[1]

where m is the slope given by ;

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

First find the slope:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{-1-0}{0-2}[/tex]

⇒ [tex]m=\frac{-1}{-2} =\frac{1}{2}[/tex]

Now, substitute the value of m=[tex]\frac{1}{2}[/tex] , [tex]x_{1}[/tex]= 2and [tex]y_{1}[/tex]=0 in equation [1];

[tex]y-0=(\frac{1}{2})(x-2)[/tex] or

[tex]y=\frac{1}{2}\cdot (x-2)[/tex]

In this graph x represents the input of the process and Y the output of the process and f the function of the variable x i.e, y=f(x)

∴ [tex]y=f(x)=\frac{1}{2}(x-2)[/tex]        ....[2]

now, we put the value of x=-2 inequation [2] to solve for f(-2).

[tex]f(-2)=\frac{1}{2}(-2-2) =\frac{1}{2} \cdot (-4)[/tex]

Simplify we get;

[tex]f(-2)=-2[/tex]

Final answer:

The sum of 16 and 48 can be expressed using the distributive property by factoring out the common factor of 16, yielding 16 + 48 = 16(1 + 3).

Explanation:

The question involves using the distributive property, a concept in mathematics, to express the sum of two numbers, specifically the numbers 16 and 48. To apply the distributive property, we look for a common factor that can be factored out. In this case, the common factor of both 16 and 48 is 16. Therefore, we can express the sum as:

16 + 48 = 16(1 + 3)Here, we've factored out the number 16 that is common to both terms in the sum. The distributive property allows us to then multiply 16 by each term inside the parentheses to get back the original expression.

This is an example of how the distributive property can simplify expressions and aid in mental calculations, such as understanding that 48 can be divided evenly by 16, resulting in 3.

Yes, 15/2 is greater than the square root of 55.

To compare whether 15/2 is greater than the square root of 55, we can convert both expressions to decimal form.

15/2 = 7.5 and √55 ≈ 7.416. Therefore, 15/2 is greater than the square root of 55.

Answer:

There will be 4 students in each group and there will be 9 groups.

Step-by-step explanation:

There are 16 sixth graders and 20 seventh graders in the robotics club.

As we have to find the number of students that will be in each group if each group has the greatest possible numbers of club members, so we will find the HCF or highest common factor of 16 and 20.

16 = 2 x 2 x 2 x 2

20 = 2 x 2 x 5

HCF = 2 x 2 = 4

So, 16 sixth graders will be divided in [tex]\frac{16}{4}=4[/tex] groups

20 seventh graders will be in [tex]\frac{20}{4}=5[/tex] groups

total groups = [tex]4+5=9[/tex]

Hence, total there will be 9 groups with 4 students in each group.

Answer:

Step-by-step explanation:

The right triangle above you can use SOHCAHTOA and determine that tanθ =

y

x

. Replacing tanθ with 3 you get

3 =

y

x

3x = y

Then use the Pythagorean Theorem to

x2 + y2 = 252. Replace y with 3x

x2 + 9x2 = 625

10x2 = 625

x2 =

625

10

x =

25

10

= 7.9

Since,

y = 3x

y = 3(7.9) = 23.7

x ≈ 7.9; y ≈ 23.7

Answer:

3 years

Step-by-step explanation:

Answer:

Perpendicular Lines

Step-by-step explanation:

perpendicular (perpendicularity) is the relationship between two lines which meet at a right angle (90 degrees).

Answer:

M+1

Step-by-step explanation:

Answer:

−4, 4

Step-by-step explanation:

Answer:

The required standard form is 104.

Step-by-step explanation:

Consider the provided number.

you can convert the scientific notation into long hand notation as shown:

If the exponent of 10 is a positive number then you need to move the decimal point right as much as the exponent value.

If the exponent of 10 is a negative number then you need to move the decimal point left as much as the exponent value.

Now consider the provided number.

[tex]1.04 \times 10^2[/tex]

Here the power of 10 is positive, so move the decimal point right as shown.

[tex]104[/tex]

Hence, the required standard form is 104.