What's the equation and solution?​

Using Continuous compounding in 15.07 months, the bike's value will be less than £1200.

Continuous compounding refers to the process of compounding interest at an infinitely frequent rate. It is a way to figure out how much an asset will depreciate over time or how much an investment will increase.

[tex]A=Pe^{rt}[/tex]

where:

A is the asset's final value

P is its initial value

r is the interest rate (or rate of depreciation in the case of a depreciating asset)

t is the time periods (months, years, etc.)

A= 1200

P= 2550

r= -0.05

We want to find t, so we can rearrange the formula to solve for t:

[tex]t=\frac{log\frac{A}{P}}{r}\\\\t=\frac{log\frac{1200}{2550} }{-0.05} \\ \\t=15.07months[/tex]

In 15.07 month motorbike value will depreciate to less than £1200

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Answer:

0

8

0

9

0

9

9

098098809667906432

Answer:

-6.1625

Step-by-step explanation:

-1/4=-0.85

-3/4=-0.75

-0.85*8x=-6.8

-0.85*-0.75=0.6375

-6.8+0.6375=-6.1625

The distance the treat falls before Lola catches the treat is 3.5 feet.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The distance of the treat from the ground = 5 feet.

The distance the dog jumps to catch the treat from the ground = 1.5 feet.

Now,

The distance the treat fall before Lola catches.

= 5 - 1.5

= 3.5 feet

Thus,

The treat falls for 3.5 feet.

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Answer:

Step-by-step explanation:

The expression you've provided is a combination of several fractions, but it's not clear how they are supposed to be combined. Without more information, it's impossible to know what the value of the expression is.

It would be helpful if you could provide more context or clarify how you want the fractions to be combined.

I can only tell you how the fraction works in mathematics and how you can evaluate the value of it if you have the complete information.

On solving the provided question, we can say that - the range [tex]|x + 1| = 0[/tex] [tex]x + 1 = 0 = > x = -1[/tex] and [tex]y = 3[/tex]

Finding the variable's greatest observed value (maximum) and deducting the least observed value will yield the range (minimum). Limits of variation or potential range: a variety of steel costs; several styles; The size or scope of an action or operation: insight. how far a weapon's projectile can or will travel. The number in a list or set between the lowest and maximum is referred to as a range. Line up all the numbers before locating the region. After that, take away (get rid of) the lowest number from the greatest number. The solution provides the list's range.

The regions where the absolute values are zero are known as the vertex points of an absolute value function.

[tex]|x + 1| = 0\\x + 1 = 0\\x = -1[/tex]

[tex]y = |-1 + 1| + 3\\y= 0 + 3\\y = 3[/tex]

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Answer:

14

Step-by-step explanation:

5 quarts = 10 pints

10 pints + 4 pints = 14 pints

Answer:

(y+72)

I'm not sure because your answer is not very clear

Answer: 448

Step-by-step explanation: Parallelogram formula base times height

Answer: Show the table

Step-by-step explanation:

SHow the table

1. The degree form of 4π/9 is approximately 228.6°.

2. A positive coterminal angle to -123° that is between 500° and 750° is 677°. A negative coterminal angle to -123° that is between -300° and -500° is -243°.

3. The terminal side of 215° lies in the second quadrant.

4. The radius of the circle is approximately 15.7.

1. The degree form of 4π/9 is approximately 228.6°. To express an angle in degrees, we multiply its radian measure by 180°/π.

2. A positive coterminal angle to -123° that is between 500° and 750° is 677°. A negative coterminal angle to -123° that is between -300° and -500° is -243°. To find a coterminal angle, we can add or subtract 360° as many times as necessary to bring the angle into the desired range.

3.

In the standard position, an angle is measured counterclockwise from the positive x-axis. The positive x-axis corresponds to the 0° angle, the positive y-axis corresponds to the 90° angle, the negative x-axis corresponds to the 180° angle, and the negative y-axis corresponds to the 270° angle. Angles in the first quadrant are between 0° and 90°, angles in the second quadrant are between 90° and 180°, angles in the third quadrant are between 180° and 270°, and angles in the fourth quadrant are between 270° and 360°.

So, the terminal side of 215° lies in the second quadrant.

4.

We can set up the equation l = Cθ/2π and solve for r.

Substituting the given values, we have 56π = (2πr)(120°/180°), which simplifies to r = 56π/(2π) = 28.

Dividing this value by 2, we get the radius of the circle as approximately 15.7.

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Answer:

The entire clock measures 360 degrees. As the clock is divided into 12 sections. The distance between each number is equivalent to 30 degrees (360/12)

I hope this helps you!

Answer:

The ratio of the number of quarters to the number of dimes in the box is 9:10

Step-by-step explanation:

Step-by-step explanation:

system 1 :

3x + 2y = 7

4x + 7y = 17

system 2 :

12x + 2y = 28

4x + 7y = 17

the first equation in the second system is not a multiple of either equation in the first system, and the second equation in the second system is the same as the second equation in the first system.

thus, the systems are not equivalent.

"12x" gives us the idea what the factor would have to be (4 or 3), if the second equation of the second system would be a multiple of any of the equations in the first system.

as we would have to multiply 3x by 4 to get 12x, and 4x by 3 to get 12x.

but then 2y×4 = 8y, or 2y×3 = 6y, and that is not the same as 2y (part of the first equation of the second system).

that is why this first equation of the second system is not a multiple of either equation in the first system.

and that makes it impossible for both systems to be equivalent. that the second equations are identical, is then not relevant anymore.

The absolute value of m is equal to the positive distance between m and 0.

Value is an important concept in economics, finance, and accounting. It is the worth of a thing, such as a product, service, or currency. Value can be determined by the amount of goods or services it can exchange for, or the amount of money it can produce. Value is subjective, so it is up to the individual to decide what is valuable to them. Value is also a measure of the relative worth of a good or service, and it can have an effect on the price of a good or service. Value is an important concept to understand in economics, finance, and accounting.

The absolute value of m can be calculated by taking the distance between m and 0, regardless of whether m is negative or positive. For example, if m is -7, the absolute value of m is 7, since the distance between -7 and 0 is 7. If m is 3, then the absolute value of m is also 3, since the distance between 3 and 0 is also 3.

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The absolute value of m is equal to the positive distance between m and 0.

Value is an important concept in economics, finance, and accounting. It is the worth of a thing, such as a product, service, or currency. Value can be determined by the amount of goods or services it can exchange for, or the amount of money it can produce. Value is subjective, so it is up to the individual to decide what is valuable to them. Value is also a measure of the relative worth of a good or service, and it can have an effect on the price of a good or service. Value is an important concept to understand in economics, finance, and accounting.

The absolute value of m can be calculated by taking the distance between m and 0, regardless of whether m is negative or positive. For example, if m is -7, the absolute value of m is 7, since the distance between -7 and 0 is 7. If m is 3, then the absolute value of m is also 3, since the distance between 3 and 0 is also 3.

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Part A: The equation could be used to determine p is B0.20+7p = 0.30 + 5p Part B: Two shipping companies is the same for 25 pounds. Company 1 = $7 + (25 - 1) x $0.20 = $11.80 Company 2 = $5 + (25 - 1) x $0.30 = $11.80.

The cost of shipping through two different companies will depend on a variety of factors.

These factors may include the weight and size of the package, the distance it needs to travel, the speed of delivery, and any additional services requested.

Additionally, the cost of shipping may also depend on the type of shipping service used (e.g. ground, air, or express).

To find out the cost of shipping through two different companies, it is best to contact each company directly. This can usually be done by phone, email, or through their website.

Each company will be able to provide a quote based on the package’s specifications. It is then possible to compare the cost of the two shipping companies and determine whether or not the cost is the same.

It is important to note that companies may offer discounts or other incentives for shipping with them.

Therefore, it is important to pay attention to any additional fees or discounts that may apply in order to get the best deal.  

Comparing the cost of two different shipping companies can help to ensure that the most cost-effective option is chosen.

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The exact value of tan  θ = 15/ 8

Trigonometric Identities are defined as the equalities involving trigonometry functions and also one that holds true for all the values of the variables  in the given equation.

The trigonometric functions are;

From the information given, we have;

tan θ = opposite/ adjacent

To determine the adjacent sent

17² - 15² = x²

x = √64

x = 8

Substitute the value

tan θ = 15/8

Hence, the value is 15/8

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Answer:

58.8 feet per second

CONVERTING MPH TO FPS

If you are moving at the rate of 40MPH, how many feet do you travel in a second? At 40 miles per hour, you are traveling 58.8 feet per second. To convert miles per hour to feet per second, multiply the miles per hour figure by 1.47. There are 5280 Feet in a mile and 3600 Seconds in an hour.

The acceleration of the particle is 1 foot per second square

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

Velocity function v(t) = −t2 + 5t − 3

Express properly

So, we have

v(t) = -t² + 5t − 3

At time t = 3 seconds, we have

v(3) = -(3)² + 5(3) − 3

Evaluate

v(3) = 3

So, we have

Acceleration = v(3)/3

This gives

Acceleration = 3/3

Evaluate

Acceleration = 1 foot per second square

Hence, the acceleration is 1 foot per second square

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Yes, the expressions S+S+S+S AND 4S as required in the task content are equivalent expressions.

It follows from the task content that the expressions given S+S+S+S AND 4S are to be compared and determine if they are equivalent or not.

Since the given expressions are; S + S + S + S and 4S.

S + S + S + S can be written by factorisation as;

S ( 1 + 1 + 1 + 1 ) = S (4)

= 4S.

On this note, it can be inferred that the two expressions given are equivalent expressions.

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Answer:

Since the apparent height h of the tower varies inversely with Corin's distance d from the tower, we know that h and d are inversely proportional. This means that the product of h and d is constant. We can write this relationship as:

hd = k

where k is a constant.

We can find the value of k by substituting the known values of h and d:

9 inches * 800 feet = k

Solving for k, we find that k = 7200 inches * feet.

Since h and d are inversely proportional, we can write the inverse relationship as:

d = k / h

Substituting the value of k that we found earlier, we have:

d = 7200 inches * feet / h

To find the apparent height of the tower if Corin is standing 2000 feet away, we can substitute 2000 for d in the equation above:

h = 7200 inches * feet / 2000 feet = 3.6 inches

Therefore, the apparent height of the tower would be 3.6 inches if Corin is standing 2000 feet away.

Step-by-step explanation:

Step-by-step explanation:

note that 7⁰ is always 1.

[tex] \frac{ {7}^{ - 10} }{ {7}^{4} } \\ \\ \frac{1}{ {7}^{14} } \\ \\ {7}^{ - 14} [/tex]

the answer is shown above

Answer:

Last option, [tex]\frac{1}{7^{14} }[/tex]

Step-by-step explanation:

[tex]\frac{7^{-10} }{(7^{4} )(7^{0} )}[/tex]=>[tex]\frac{7^{-10} }{7^{4+0}}[/tex]=>[tex]\frac{7^{-10} }{7^{4}}[/tex]=>[tex]7^{-10-4}[/tex]=>[tex]7^{-14}[/tex]=>[tex]\frac{1}{7^{14} }[/tex]

The additional expense brought on by reducing the quantity is known as the cost. An additional expense "at the margin" is another name for this. The extra income that results from raising the supply is known as the marginal revenue.

Profit is defined as the difference of revenue and cost (determined by deducting cost from revenue. when revenue exceeds operational expenses, the difference between them is called the operating profit.

The additional money "at the margin" is another name for this.The money left over after a corporation pays its bills and expenses is known as its profit. Costs are the out-of-pocket expenditures comes to making, producing, and marketing the company's goods and services.

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Answer:

Last option, 81.

Step-by-step explanation:

Evaluate, [tex]\frac{(-3)^{7}(-3)^{2} }{\ (-3)^{5} }[/tex]

[tex]\frac{(-3)^{7}(-3)^{2} }{\ (-3)^{5} }[/tex] => [tex]\frac{(-3)^{7+2} }{\ (-3)^{5} }[/tex] => [tex]\frac{(-3)^{9} }{\ (-3)^{5} }[/tex] => [tex](-3)^{9-5}[/tex] => [tex](-3)^{4}[/tex] => [tex](-3)(-3)(-3)(-3)[/tex] => [tex]81[/tex]

The equation of a line is y = 7/9x -3.5. using exact numbers from the graph.

A straight line is produced by a linear function. Therefore, the slope has a constant value. If the slope was variable, a straight-line graph would not exist. When you know the slope of the line to be investigated and the given point is also the y-intercept, you can utilize the slope-intercept formula, y = mx + b. (0, b). The y value of the y-intercept point is denoted by the symbol b in the formula.

Given a line in the graph in that we can see that,

At x = 0, y is -3.5 and at y = 0, x is 4.5 thus,

coordinates of the given line are (0, -.35) and (4.5, 0)

Therefore the slope of the line (m) = (y₂-y₁)/ (x₂ -x₁)

The slope of the line = 3.5/4.5 = 7/9

therefore equation of the line in the slope-intercept form:

y = 7/9 x +  c

Since this line passe from (0, -3.5)

hence, -3.5 = c

therefore, using exact numbers equation of the line is y = 7/9x -3.5.

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Answer: The correct interpretations about the graph of r(t) are B, D, and E.

Interpretation B is correct because the graph shows that the average mortgage rate fell to a relative minimum between 2002 and 2003.

Interpretation D is correct because the graph shows that the average mortgage rate was highest between 2006 and 2007, based on the absolute maximum.

Interpretation E is correct because an appropriate domain for this function would be 0≤t≤10, as t represents time and the graph shows data for the period between 2002 and 2010.

Interpretation A is not correct because the graph does not show that the average mortgage rate increased continuously between 2003 and 2005.

Interpretation C is not correct because the y-intercept does not represent the average mortgage rate in 2010. The y-intercept represents the value of the function when t = 0, which does not correspond to any time in the given data.

Step-by-step explanation:

Answer:

11 AM

Step-by-step explanation:

Mile Calculation:

200 miles away and 50 miles per hour.
200 divided by 50 is equal to 4

Answer:
Now, 7 am + 4 hours is equal to 11 AM.