tan^4x-sec^4x=1-2 sec^2(x)
verify

To determine which loan will have a higher balance at the time of repayment, we need to calculate the future value of both loans. The Stafford Loan will have a higher balance by approximately $234.36.

To determine which loan will have a higher balance at the time of repayment, we need to calculate the future value of both loans. Let's start with the Stafford Loan:

Principal: $5,125

Interest Rate: 6.8%

Compounding Period: Monthly

Time: 12 months

Using the formula for future value of an ordinary annuity, we can calculate the balance of the Stafford Loan at the time of repayment:

FV = P * ((1 + r)^n - 1) / r

FV = 5125 * ((1 + 0.068/12)^(12*1) - 1) / (0.068/12)

Calculating this gives us an approximate loan balance of $5,259.35.

Now let's calculate the future value of the PLUS Loan:

Principal: $5,125

Interest Rate: 7.8%

Compounding Period: Monthly

Time: 12 months

Using the same formula, we can calculate the balance of the PLUS Loan at the time of repayment:

FV = P * ((1 + r)^n - 1) / r

FV = 5125 * ((1 + 0.078/12)^(12*1) - 1) / (0.078/12)

Calculating this gives us an approximate loan balance of $5,024.99.

Therefore, the Stafford Loan will have a higher balance at the time of repayment by approximately $234.36. The correct answer is: The Stafford Loan has a higher balance by $234.36.

https://brainly.com/question/32541612

#SPJ3

The appliance will be worth approximately $817.66 in 10 years.

To calculate the value of the appliance in 10 years, we need to find how much it will be worth after each year based on the depreciation rate of 25%. We can use the formula:

Value after n years = Initial value × (1 - rate)^n

Substituting the given values, we get:

Value after 10 years = $3,200 × (1 - 0.25)^10 = $3,200 × 0.75^10 ≈ $817.66

Therefore, the appliance will be worth approximately $817.66 in 10 years.

Using the exponential decay formula, an appliance initially valued at $3,200 is estimated to be worth about $180.16 after 10 years, assuming it loses 25% of its value each year.

To find out how much an appliance currently valued at $3,200 will be worth in 10 years, given that it loses 25% of its resale value each year, we can use the formula for exponential decay:

Future Value = Present Value × (1 - Rate of Decay)Number of Years

Here, the Present Value is $3,200, the Rate of Decay is 25% or 0.25, and the Number of Years is 10. Plugging these into the formula gives us:

Future Value = $3,200 × (1 - 0.25)10

Future Value = $3,200 × (0.75)10

Future Value = $3,200 × 0.0563

Future Value ≈ $180.16

The appliance would be worth approximately $180.16 in 10 years.

Answer:

40

Step-by-step explanation:

divide 2 by 5 and you get 0.40 and then multiplicate by 100 and you get 40

Answer:S=42200(1.08)^t

Step-by-step explanation:

Answer: [tex]2 , -14[/tex]

Step-by-step explanation:

We know that the constant terms are the specific terms in an algebraic expression that have only numbers or numerical value or without any variable.  

For example : The constant term in [tex]4x^2 -5m+16[/tex]  is 16.

Let's take one more example , the constant term in [tex]3x-2y-4-7xy[/tex] is -4.

Given expression is : [tex]8m-5n+2+m-14[/tex]

Here, the terms are : [tex]8m,\ -5n,\ 2,\ m,\ -14[/tex]

Terms having variable = [tex]8m,\ -5n,\ m[/tex]

Terms without variable = [tex]2 , -14[/tex]

⇒ Constant terms =[tex]2 , -14[/tex]

Hence, the constant terms in the given expression = [tex]2 , -14[/tex]

Answer:

A. less than 1 year is the answer.

Step-by-step explanation:

Short term goals are designed to be met in  : A. less than 1 year

According to accounting concepts, a short term goal is less than one year and goals more than one year are considered long term goals.

Short term goals are like short term investments, that can be accomplished soon. Few other examples are - cutting costs, learning new skills, changing or having a good attitude etc.

Answer:

Correct answer would be: B less than 6 months

Step-by-step explanation:

Took test on edg 2020

Answer:  The required solution is  x = 8.

Step-by-step explanation:  We are given to solve the following logarithmic equation:

[tex]\log_4{8x}=3.[/tex]

We will be using the following logarithmic property in the solution:

[tex]\log_ab=c~~~~~\Rightarrow b=a^c.[/tex]

The solution is as follows:

[tex]\log_4{8x}=3\\\\\Rightarrow 8x=4^3\\\\\Rightarrow 8x=64\\\\\Rightarrow x=\dfrac{64}{8}\\\\\Rightarrow x=8.[/tex]

Thus, the required solution is  x = 8.

Jupiter travels at 480 miles per minute and in 4 minutes, it will travel 1920 miles.

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.

First to convert it you need to multiply 8 miles per second by 60 seconds because there are 60 seconds in a minute:

8 miles    x    60 s

1 second        1 min

The unit of seconds will cancel out so you will get 480 miles/ min

To get how far it travels in 4 min you need to multiply the speed by 4 minutes

480 miles   x  4 min

  1 min

The unit of minutes will cancel out to get 1920 miles

Therefore, Jupiter travels at 480 miles per minute and in 4 minutes, it will travel 1920 miles.

To know more about Speed follow

https://brainly.com/question/6504879

#SPJ2

The simplified expression of 62/5821 is 62/5821

From the question, we have the following parameters that can be used in our computation:

62 divided 5,821

This means that we divide 62 by 5821

So, we have the following representation

62/5821

In the above, we have

The numerator 62 is less than the denominator 5821

This means that the expression is already simplified

Hence, the simplified expression is 4/11

Read more about expressions at

brainly.com/question/30492964

#SPJ6

In a world filled with gadgets and gizmos, there exists a young enthusiast whose passion lies in the simple yet fascinating realm of switches.

This boy, with a twinkle in his eye, finds immense joy in the art of toggling buttons and flipping switches. His playtime is a symphony of clicks, a dance of circuits coming to life. Each switch, a gateway to a new adventure, ignites his imagination and curiosity.

Whether it's the satisfying snap of a light switch or the soft hum of an electronic button, he revels in the tactile magic of control. Through this seemingly mundane act, he discovers the power to illuminate, connect, and create, turning his play into a journey of endless possibilities.

That would be the original price of apple * incrased apple

200 * 1.25 = 250

To find out how long it would take Mona and Lisa to paint the room together, we need to calculate their combined work rate. Mona can paint the room in 4 hours, so her work rate is 1/4 of the room per hour. Lisa can paint the room in 3 hours, so her work rate is 1/3 of the room per hour. Their combined work rate is 7/12 of the room per hour. Therefore, it would take them approximately 1 hour and 43 minutes to paint the room together.

To find out how long it would take Mona and Lisa to paint the room together, we need to calculate their combined work rate. Mona can paint the room in 4 hours, so her work rate is 1/4 of the room per hour. Lisa can paint the room in 3 hours, so her work rate is 1/3 of the room per hour. To calculate their combined work rate, we add their individual work rates: 1/4 + 1/3 = 3/12 + 4/12 = 7/12 of the room per hour. Since they are working together, we can use their combined work rate to determine how long it would take to paint the entire room. The formula to calculate time is: Time = Work / Rate. In this case, the work is the entire room, which is 1, and the rate is 7/12 of the room per hour. Therefore, the time to paint the room when they work together is: Time = 1 / (7/12) = 12/7 hours, or approximately 1 hour and 43 minutes.

Answer:

A. Is The Answer

Step-by-step explanation:

Did On Edge 2022