suppose you buy a car with a value of 9250 each year the value of your car will depricate by 5.1 percent how much will your car be worth in 8 years

After one year, the club had approximately 123123 members. After two years, the club had approximately 149149 members. After three years, the club had approximately 180180 members.To calculate the number of members after three years, multiply the initial number of members (101010) by the factor of 1.21.21 three times

1. To calculate the number of members after one year, multiply the initial number of members (101010) by the factor of 1.21.21:

101010 x 1.21.21 = 12312

2. To calculate the number of members after two years, multiply the initial number of members (101010) by the factor of 1.21.21 twice:

101010 x 1.21.21 x 1.21.21 = 149149

3. To calculate the number of members after three years, multiply the initial number of members (101010) by the factor of 1.21.21 three times:

101010 x 1.21.21 x 1.21.21 x 1.21.21 = 180180

After one year, the club had approximately 123123 members. After two years, the club had approximately 149149 members. After three years, the club had approximately 180180 members.

Learn more about number here

https://brainly.com/question/10547079

#SPJ4

Therefore , the solution of the given problem of equation comes out to be the correct equation can be = > y/x =57.

A mathematical equation resembles a formula connecting two assertions when the equals letter (=) is employed to denote equality. An equation in algebra is a statement of fact that demonstrates the equality of numerous mathematical variables. For example, the equation obd + 6 = 12 has an equal sign separating the numbers doc d + 6 and 12. You can mathematically expression how many syllables correspond per each side of every letter. Often, a symbol's message is its exact opposite.

Here,

Given :

Equation : y =57x for the distance travelled by  alisha.

Thus,

To find the equation is correct or not.

By comparing it with distance/time = speed equation we get to know

that the equation represented by alisha is wrong.

The correct equation can be => y/x =57 .

Therefore , the solution of the given problem of equation comes out to be the correct equation can be = > y/x =57.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ4

Answer:

Here is a picture of it graphed

Step-by-step explanation:

The setup cost for printing the math workbooks, given the printed cost of the books, is $ 1, 800

The setup cost for printing the math workbooks is a fixed cost which means that it will not change regardless of the number of books that are printed.

Since we know that 1, 000 books are printed to be $ 14, 300 and that 5, 000 books cost $ 64, 300, we can find the cost of the books without the setup cost to be :

= Difference in cost of books / ( Difference in number of books )

= ( 64, 300 - 14, 300 ) / ( 5, 000 - 1, 000 )

= 50, 000 / 4, 000

= $ 12. 50

The setup cost is therefore :

= Cost of printing -  (Number of books x cost per book )

= 14, 300 - ( 1, 000 x 12 .5)

= $ 1, 800

Find out more on setup cost at https://brainly.com/question/29107232

#SPJ1

Answer: height is 5

Step-by-step explanation:

Area of the parallelogram is altitude x height. You divide area (35) by altitude (7) to get 5

The total interest for the loan is given as follows:

46,875.

The balance of an account after t years, using simple interest, that is, a single compounding per year, is given by the equation presented as follows:

A(t) = P(1 + rt).

In which the parameters of the equation are explained as follows:

The interest amount is the subtraction of the balance by the principal, hence it's formula can be simplified as follows:

I(t) = Prt.

The values of the parameters for this problem are given as follows:

P = 125000, r = 0.075, t = 5.

Hence the interest amount is given as follows:

I(5) = 125000 x 0.075 x 5

I(5) = 46,875.

More can be learned about simple interest at https://brainly.com/question/20690803

#SPJ1

Answer:

Step-by-step explanation:

You will need to utilise algebraic expressions to create an equation to show Lori's age in relation to Shawn.

The procedure will be completely described in the sections that follow with step-by-step instructions .

Learn more about the expression here :

https://brainly.com/question/4344214

The student receives 84% overall which is between 80-90% and they will receive a letter grade of "B".

To determine the student's letter grade, you need to calculate the overall percentage of the total points possible.

A percentage is a way of expressing a number as a fraction of 100. It is often used to express a proportion or a rate, and is typically denoted by the symbol "%". To convert a number to a percentage, you multiply it by 100 and add the "%" symbol.

The first exam is out of 100 points, so the student scored 89/100 or 0.89 * 100 = 89%.

The second exam is out of 100 points, so the student scored 81/100 or 0.81 * 100 = 81%.

The final exam is out of 200 points, so the student scored 160/200 or 0.8 * 100 = 80%.

To find the overall percentage of the total points possible, you need to add the percentage scores from each exam and divide by the number of exams.

(89 + 81 + 80) / 3 = 84

Therefore,The student receives 84% overall which is between 80-90% and they will receive a letter grade of "B"

It's important to note that each institution may have different grading scales and different criteria for assigning letter grades.

To know more about percentage refer to:

brainly.com/question/16797504

#SPJ4

Plan V is a mobile phone plan that costs $10.00 per day, or $40.00 per month. The plan includes 100 texts. If the customer goes over the 100 included texts, they will be charged $0.50 for each additional text. The plan also includes 100 minutes of talk coverage, but if the customer goes over the 100 minutes, they will be charged $0.99 per additional minute. Additionally, the plan includes 100 MB of data, but if the customer goes over the 100 MB, they will be charged $2.05 per additional MB.

The distance is 3.21 +/- 0.04 mm using the first three measurements, and 3.16 +/- 0.08 mm using the entire set of ten measurements.

What is deviation ?

Deviation is a measure of how much a set of values differs from a certain value, typically the mean (average) of the set. There are two types of deviation ,

The absolute deviation is the difference between each value and the mean.

The standard deviation is the square root of the average of the squared absolute deviations.

The mean distance = (3.27 + 3.23 + 3.15) / 3 = 3.21 mm

The standard deviation = sqrt(((3.27 - 3.21)^2 + (3.23 - 3.21)^2 + (3.15 - 3.21)^2) / 2) = 0.04 mm

So, using the first three measurements, we can report the distance as 3.21 +/- 0.04 mm

To report the distance and uncertainty using the entire set of ten measurements, we can calculate the mean and standard deviation of the ten measurements.

The mean distance = (3.27 + 3.23 + 3.15 + 3.16 + 3.28 + 3.14 + 3.16 + 3.12 + 3.32 + 1.46) / 10 = 3.16 mm

The standard deviation = sqrt(((3.27 - 3.16)^2 + (3.23 - 3.16)^2 + (3.15 - 3.16)^2 + (3.16 - 3.16)^2 + (3.28 - 3.16)^2 + (3.14 - 3.16)^2 + (3.16 - 3.16)^2 + (3.12 - 3.16)^2 + (3.32 - 3.16)^2 + (1.46 - 3.16)^2) / 9) = 0.08 mm.

The distance is 3.21 +/- 0.04 mm using the first three measurements, and 3.16 +/- 0.08 mm using the entire set of ten measurements.

To learn more about diviation visit : brainly.com/question/29163264

#SPJ4

Using mathematical operations, we know that Bakery B makes 209/28 more cake than Bakery A per hour.

An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value.

The operation's arity is determined by the number of operands.

Scalars in MATLAB can be multiplied, divided, added to, subtracted from, multiplied by, and have exponents applied to them.

These operators can be used to arrange calculations involving vectors and matrices in a straightforward manner.

So, bakery A:

4 1/4 cake in 4 hours.

16+1/4

17/4 cake in 4 hours

Bakery B:

11 5/7 cake in 3 hours:

77*5/7

82/7 cake in 3 hours

Then, Bakery A: 17/4 * 7/7 =  119/28

Bakery B: 82/7 * 4/4 =  328/28

More, cake by Bakery B:
328/28 - 119/28

209/28

Therefore, using mathematical operations, we know that Bakery B makes 209/28 more cake than Bakery A per hour.

Know more about mathematical operations here:

https://brainly.com/question/20628271

#SPJ1

Answer: To find the probability of Janice making her next free throw, you can use the proportion of successful free throw shots out of the total number of free throw shots attempted so far.

First, we need to find the number of free throws made by Janice so far:

80% success rate * 15 free throws attempted = 12 free throws made

Then we add the number of free throws made today:

12 + 3 = 15

Then we add the number of free throws attempted today:

15 + 5 = 20

So the probability of Janice making her next free throw is:

15 free throws made / 20 free throws attempted = 75%

So, the probability that Janice will make her next free throw is 75%.

It's worth noting that this answer is based on the assumption that her success rate will remain the same and doesn't take into account any other variable or change in her performance.

Step-by-step explanation:

It is not possible to construct a triangle whose sides are 5cm ,5cm and 10cm , because the sum of two sides is not greater then third side .

For any three sides to form a triangle , it should satisfy the condition that , the sum of any two sides should must be greater than the third side .

We apply this condition on the given sides ,

we get ;

the sides of the triangle are  ⇒ 5cm ,5cm and 10cm ;

the sum of sides : 5 + 5 = 10 which is not greater than the third side (10cm) ;

these sides do not satisfy the condition ,

Therefore , the condition to form the triangle is not satisfied , so the triangle cannot be constructed .

Learn more about Triangles here

https://brainly.com/question/13948245

#SPJ4

Answer:

4

Step-by-step explanation:

24*1/6=4

Answer:

Your answer is 4

24/6

6×4=24

We can conclude from the given problem that there are 7975/5 - 1595 different positive numbers f(a) smaller than 1992, 1991-1595 = 396 positive integers.

Integers can be anything from zero to a positive or negative number signified by a minus sign. A lower result is its corresponding positive number's additive reciprocal. In mathematical notation, an integer group is usually denoted by a bold Z or perhaps a bold "mathbb Z." An integer, unlike a fraction, is a positively, negative, or zero number (pronounced IN-tuh-jer). Examples of integers are the integers -5, 1, 5, 8, 97, & 3,043. Examples of non-integer numbers include 1.43, 1 3/4, 3.14, and also more. A group of integers is known as an integer.

Here,

imagine a number of zeros! be

=> f(a), where f(a) = a/5, a/25, a/125, a/625, etc.

Since

f(a) a/5 + a/25 + a/125 + a/625 +...,

=> f(a) = f(a+1) = f(a+2) = f(a+3) = f(a+4). = a/4

=>f(7975) = 1991

1992 is less than 7975/5 - 1595 different positive numbers, hence 396 positive integers are present.

To know more about integer visit:

brainly.com/question/15276410

#SPJ4

Andrew's initial deposit will grow to about $543 in 7 months.

You can use the formula A = P * e^(rt) to calculate this, where A is the final amount, P is the initial deposit, r is the interest rate, and t is the time in years. The equation for "continual" growth (or decay) is A = Pert, where "A", is the ending amount, "P" is the beginning amount (principal, in the case of money), "r" is the growth or decay rate (expressed as a decimal), and "t" is the time (in whatever unit was used on the growth/decay rate).

A = P * e^(rt)

Plug in the given values:

A = $543

P = $500

r = 0.065 (6.5% expressed as decimal)

Solving for t:

t = ln(A/P) / r

t = ln(543/500) / 0.065

t = 0.07 ( 7 months)\

Therefore, Andrew's initial deposit will grow to about $543 in 7 months.

To learn more about Annuities,

Visit; brainly.com/question/23554766

#SPJ4

The value of missing number in the table is, 17

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The table is shows the cost of gallon of gas in dollars.

Now, From the table we get;

The equation that satisfy the given conditions is,

⇒ y = 1.05x

Where, 'x' is gallons of gas and 'y' is cost of gallon of gas.

Hence, For the cost (y) 17.85 dollars, number of gallons of gas are,

⇒ y = 1.05x

⇒ 17.85 = 1.05x

⇒ x = 17.85/1.05

⇒ x = 17

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ1

a) To find the equation of the line tangent to the graph of f at x = e^2, we need to find the slope of the tangent line and the y-intercept. The slope of the tangent line is given by the derivative of f evaluated at x = e^2: f'(e^2) = (1 - ln(e^2))/(e^2)^2 = (1 - 2)/e^4 = -1/e^4

The y-intercept is found by plugging x = e^2 into the original function and finding the corresponding y-value: f(e^2) = ln(e^2)/e^2 = 2/e^2

We can use this information to write the equation of the tangent line in point-slope form: y - f(e^2) = -1/e^4(x - e^2)

b) To find the x-coordinate of the critical point of f, we need to find the value of x at which f'(x) = 0 or is undefined.

f'(x) = (1 - lnx)/x^2

When we set f'(x) to 0, we get 1 - lnx = 0 lnx = 1 x = e.

As a result, the critical point is at x = e.To determine whether this point is a relative minimum, a relative maximum, or neither, we need to find the second derivative of f(x) and evaluate it at x = e.

f''(x) = -(1 + lnx)/x^3

Evaluating at x = e, we get: f''(e) = -(1 + ln(e))/e^3 = -(1 + 1)/e^3 = -2/e^3

Since the second derivative is negative, the critical point is a relative maximum.

c) To find the x-coordinate of the point of inflection, we need to find the value of x at which f''(x) = 0.

f''(x) = -(1 + lnx)/x^3

Setting f''(x) = 0, we get 1 + lnx = 0 lnx = -1 x = e^-1

So the point of inflection is at x = e^-1.

d) To calculate f(x) = lnx/x, we need to substitute the value of x into the function. f(x) = lnx/x

For example, if we want to calculate f(2) f(2) = ln(2)/2 = 0.693147180559945/2 = 0.346573590279973

So f(2) = 0.346573590279973

It will take 5.01 years for Mantago to repay the money that he would borrow.

Assume that it will take 't' years for Mantago to repay the money that he would borrow.

Here, we use monthly cashflow formula:

[tex]C=P\times r\times \frac{(1+r)^{12t}}{(1+r)^{12t} - 1}[/tex]

where, P is loan amount

r is ARM(adjustable-rate mortgage) interest rate

C is monthly cashflow

here, R = 7.5%

So, r = 0.075

For monthly payment the interest rate would be r = 0.075/12

i.e., r = 0.00625

P = 10000

C = 200

We need to find the number of years t.

[tex]200=10000\times 0.00625\times \frac{(1+0.00625)^{12t}}{(1+0.00625)^{12t} - 1} \\\\200=62.5\times \frac{(1.00625)^{12t}}{(1.00625)^{12t} - 1}\\\\ \frac{(1.00625)^{12t}}{(1.00625)^{12t} - 1}=3.2\\\\(1.00625)^{12t}}=[(1.00625)^{12t} - 1]\times 3.2\\\\(1.00625)^{12t}-3.2(1.00625)^{12t}=-3.2\\\\-2.2(1.00625)^{12t}=-3.2\\\\(1.00625)^{12t}=1.4545[/tex]

[tex]12t=60.13\\\\t=5.01\\\\t \approx 5[/tex]

Learn more about the interest rate here:

https://brainly.com/question/27743950

#SPJ4

Answer:

53000 and 42400

Step-by-step explanation:

100*530and 80*530

Answer:

Step-by-step explanation:

One fraction that is smaller than 5/8 id 4/8, 3/8, 2/8, of 1/8; by decreasing the amount out of eight, you are reducing the fraction. Another way to make a fraction smaller is by increasing the denominator, increasing the denominator allows you to have tthe same amount out of a bigger total: 5/9, 5/10, 5/11, 5/12, 5/13, and so on.

Answer: 1/10

Step-by-step explanation: 5/8 = .625 > .100 = 1/10

Answer:

The answer would be B) x = -3.

Step-by-step explanation:

Answer:

First and last one

Step-by-step explanation:first and last one

[tex]\huge\underline{\red{A}\green{n}\blue{s}\purple{w}\pink{e}\orange{r} -›}[/tex]

Step-by-step explanation:

The outcome of the integral, in accordance with the stated statement, is (ln x)^31/31 + c.

Integration is the process's polar opposite of differentiation. The integration process involves determining a function's anti derivative. Integration is the process of combining smaller, discrete data sets that cannot be represented in a numerical value and cannot be contributed individually. Calculus (Unification) is used in electrical engineering to calculate the precise length of power line needed to connect two transmission system that are miles apart from one another.

For the predicament,

[tex]\Rightarrow \int \frac{(\ln x)^{30}}{x} d x[/tex]

Consider y = lnx, differentiate with respect to x

dy = 1/xdx

Substitute these values on the integral,

[tex]\begin{aligned}& \Rightarrow \int y^{30} d y \\& \Rightarrow \frac{y^{31}}{31}+c \\& \Rightarrow \frac{(\ln x)^{31}}{31}+c\end{aligned}[/tex]

Therefore, we may say that the integral's value is (ln x)^31/31 + C.

To know more about Integration visit:

https://brainly.com/question/24158242

#SPJ4

Answer:

Two like terms in the expression 4x + 5 + 11x are 4x and 11x. Both terms have the variable x, and the coefficients (4 and 11) are just numbers and do not affect the variable. Like terms can be combined by adding or subtracting the coefficients and leaving the variable the same.

Answer:It is 4x and 11x!

Step-by-step explanation: Since they have same variables, they are like terms.

Answer: 1.5x + 12.3

Step-by-step explanation:

(3x + 5.3) + (7 - 1.5x)

Since this is not multiplication, try arranging the equation so like terms are together.

3x - 1.5x + 5.3 + 7 =

Combine like terms by adding or subtracting.

3x - 1.5x + 5.3 + 7 = 1.5x + 12.3

For a quadratic function [tex]y=ax^2+bx+c[/tex], we know the vertex of the graph is a maximum if and only if [tex]a < 0[/tex], and a minimum if and only if [tex]a > 0[/tex].

It is easy to see that for a function of the form [tex]y=a(x-h)^2+k[/tex], the vertex of the graph is a maximum if and only if [tex]a < 0[/tex], and a minimum if and only if [tex]a > 0[/tex].

Therefore, the vertex of the graph of [tex]f(x)[/tex] is a maximum, and the vertex of the graph of [tex]g(x)[/tex] is a minimum.

The function f(x) = -2(x + 4)+2 is minimum point and g(x) = 2(x - 2)-2 is maximum point.

In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

We have,

f(x) = -2(x + 4)+2 and g(x) = 2(x - 2)-2

As, the equation are in the form

y = a (x-h) + k

For 1st function: f(x) = -(x + 4)²+2

f(x) = -2(x+4) + 2

So, the vertex is (4, 2) and a = -2 < 0 which is minimum point.

Now,  g(x) = 2(x - 2)-2

So, the vertex is (-2, -2) and a = 2 > 0 which is maximum point.

Learn more about Function here:

https://brainly.com/question/12431044

#SPJ2

Step-by-Step Explanation:

[tex]x + \frac{2}{5} = \frac{1}{3} \\ = > x = \frac{1}{3} - \frac{2}{5} \\ = > x = \frac{5 - 6}{15} \\ = > x = \frac{ - 1}{15} [/tex]

Answer:

A) x = -1/15