the function 56-4y=-5x can be used to determine the total amount of money in a coin jar,y,after money is added for x days. what is the rate of change in dollars with respect to the number of days?

(a) Annually compounded interest:

In this case, n = 1 (compounded once a year)

Future Value (a) = $500 × (1 + 0.12 / 1)^(1 * 20)

(b) Quarterly compounded interest:

In this case, n = 4 (compounded four times a year)

Future Value (b) = $500 × (1 + 0.12 / 4)^(4 * 20)

(c) Monthly compounded interest:

In this case, n = 12 (compounded twelve times a year)

Future Value (c) = $500 × (1 + 0.12 / 12)^(12 * 20)

Let's calculate the values:

(a) Future Value (annually) = $500 × (1 + 0.12)^20

Future Value (annually) ≈ $500 × 6.1917364224

Future Value (annually) ≈ $3,095.87

(b) Future Value (quarterly) = $500 × (1 + 0.12 / 4)^(4 * 20)

Future Value (quarterly) ≈ $500 × 1.03^80

Future Value (quarterly) ≈ $500 × 10.0626534032

Future Value (quarterly) ≈ $5,031.33

(c) Future Value (monthly) = $500 × (1 + 0.12 / 12)^(12 * 20)

Future Value (monthly) ≈ $500 × 1.01^240

Future Value (monthly) ≈ $500 × 20.1814079986

Future Value (monthly) ≈ $10,090.70

Therefore, if Iona earns 12% interest compounded annually, her investment of $500 will grow to approximately $3,095.87 in 20 years. If compounded quarterly, it will grow to approximately $5,031.33, and if compounded monthly, it will grow to approximately $10,090.70.

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Answer:

-4.

Step-by-step explanation:

The bracket should be (-4) as AD which is height +2 has been shifted down to EF which is height -2.

The geometric power series for the function f(x) = 1 / (9 + x), centered at 0, using long division is (9 - x) / ((9 + x) * (9 - x)).

To find a geometric power series for the function f(x) = 1 / (9 + x) using long division, we can start by expanding the function into a fraction:

f(x) = 1 / (9 + x)

To begin the long division process, we divide 1 by 9 + x:

1 ÷ (9 + x)

To simplify the division, we can multiply the numerator and denominator by the conjugate of the denominator:

1 * (9 - x) / ((9 + x) * (9 - x))

Simplifying further:

(9 - x) / (81 - x^2)

Now, we have expressed the function f(x) as a fraction with a simplified denominator. To find the geometric power series, we can rewrite the denominator using the concept of a geometric series:

(9 - x) / (81 - x^2) = (9 - x) / (9^2 - x^2)

We can see that the denominator is now in the form a^2 - b^2, which can be factored as (a + b)(a - b). In this case, a = 9 and b = x:

(9 - x) / (9^2 - x^2) = (9 - x) / ((9 + x)(9 - x))

Now, we can express the function f(x) as a geometric power series:

f(x) = (9 - x) / ((9 + x)(9 - x))

f(x) = 1 / (9 + x) = (9 - x) / ((9 + x)(9 - x))

f(x) = (9 - x) / (9^2 - x^2) = (9 - x) / ((9 + x)(9 - x))

f(x) = (9 - x) / ((9 + x) * (9 - x))

f(x) = 1 / (9 + x) = (9 - x) / ((9 + x) * (9 - x))

The geometric power series for the function f(x) centered at 0 is given by (9 - x) / ((9 + x) * (9 - x)).

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The equation of the line of best fit is ŷ = 0.06x + 2.57

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

Years Since 2000 0 1 2 3 4 5 6 7 8 9

Average Cost ($) 2.59 2.81 2.65 2.67 2.88 2.70 2.85 2.88 3.17 3.24

Next, we enter the above values in a graphing tool;

The calculation summary are as follows

The regression equation is represented as

ŷ = bx + a

Where

b = SP/SSX = 4.94/82.5 = 0.06

a = MY - bMX = 2.84 - (0.06*4.5) = 2.57

So, we have

ŷ = 0.06x + 2.57

Hence, the equation of the line of best fit is ŷ = 0.06x + 2.57

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Answer:

whats the question you need to answer this

All of the given equations (A, B, C, D, E, F) can be used to solve for x.

To determine which equations can be used to solve for x, we need to consider the trigonometric functions and their respective domains.

A. sin x = 12/20:

This equation can be used to solve for x because the range of the sine function is [-1, 1], and 12/20 falls within this range.

B. cos x = 12/20:

This equation can be used to solve for x because the range of the cosine function is [-1, 1], and 12/20 falls within this range.

C. tan x = 12/20:

This equation can be used to solve for x because the tangent function is defined for all real numbers.

D. sin x = 16/20:

This equation can be used to solve for x because the range of the sine function is [-1, 1], and 16/20 falls within this range.

E. cos x = 16/20:

This equation can be used to solve for x because the range of the cosine function is [-1, 1], and 16/20 falls within this range.

F. tan x = 16/20:

This equation can be used to solve for x because the tangent function is defined for all real numbers.

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Answer:

----------------------

Simplify the expression as follows:

The matching choice is (1).

Answer:

Step-by-step explanation:

Using compound interest formula when the CD matures on Melissa's 14th birthday, there will be $3187.69 available.

The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest. Compound interest is commonly abbreviated C.I. in mathematics.

Use the formula for compound interest to calculate the amount of money that will be available when the CD matures -

\(A = P(1 + r/n)^(nt)\)

Where A is the amount of money available when the CD matures, P is the initial principal, r is the interest rate, n is the number of times the interest is compounded per year, and t is the time in years.

In this case, the initial principal is $2000, the interest rate is 6%, and the CD will be held for 8 years (from Melissa's 6th to 14th birthday).

It is not given how many times per year the interest is compounded, so assume it is compounded annually.

Using these values in the formula -

\(A = $2000(1 + 0.06/1)^(1*8)A = $2000(1.06)^8A = $3187.69\)

Therefore, the value is obtained as $3187.69.

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Answer:

a=10,-10

Step-by-step explanation:

a² - 100 = 0

(a)²- (10)² = 0

(a+10) (a-10) =0

either or

a+10=0 a-10=0

a= -10 a=10

Answer:

Your Answer is $43.7

Step-by-step explanation:

Take the initial $38 and Multiply it by the .15 (15%) tip

You get a $5.7 tip

Add that to the meal cost of $38 and you get $43.7

Answer:

Step-by-step explanation:

Evaluate the expression

Divide 18 by 3 = 6

Then add the 6 to the 8

then subtract 7 from 14

answer=7

Answer:  V=8 (If solving for V)

Step-by-step explanation:

-3v+11=-8v+51    Move the variable to the left hand side and change its sign.

-3v+8v+11=51      Collect the like terms

5v=51-11              Divide both sides of the equation by 5

v=8

Hope this helps!!

\(-3v+11=-8v+51\)

1. add 3v to -3v, then add 3v to the other side. \(11=-8v+11+51+3v\)

2. add 11 and 51  \(11=-8v+62+3v\)

3. add 3v to -8v \(11=-5v+62\)

4. subtract 62 from 62, then subtract 62 from 11 \(-51=-5v\)

5. divide -5v by 5, then divide -51 by 5 \(-10.2=v\)

Answer: -10.2

Answer:

Step-by-step explanation:

\(5\frac{1}{4} =x\)

\(3\frac{3}{4} =y\)

x-y=?

so

?+y=x

which means

\(?+ 3\frac{3}{4} = 5\frac{1}{4}\)

i hope this helps

Answer:

For the answer to the question above, when you carry your jewelry box or your phone 3 floors down

and 2 miles to the left, the angles and side lengths don't change,

and it still looks exactly the same as it did before you picked it up

and moved it.

Translation can't change angles or lengths.  And if those don't

change, then the later shape is congruent to the earlier shape.

Answer:

2 1/9

Step-by-step explanation:

Check out the image below!

Answer:

beesechuurger

Step-by-step explanation:

Answer:

7*-6x-1.5

Step-by-step explanation:

The probability of rolling a number greater than 6 is 1/4, or 0.25 as a decimal, or 25% as a percentage.

The die has 8 equally likely possible outcomes, which are the numbers 1 through 8. The probability of rolling a number greater than 6 is the same as the probability of rolling a 7 or 8.

Since each of these two outcomes is equally likely, the probability of rolling a number greater than 6 is:

P(rolling a number greater than 6) = P(rolling a 7) + P(rolling an 8)

The probability of rolling a 7 is 1/8, and the probability of rolling an 8 is also 1/8. Therefore:

P(rolling a number greater than 6) = 1/8 + 1/8 = 2/8 = 1/4

So the probability of rolling a number greater than 6 is 1/4, or 0.25 as a decimal, or 25% as a percentage.

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Answer:

He can buy 6 liters because £0.80 x 6 = £4.80. So he will have £5.00 - £4.80 = £0.20 left over. 20p.

Step-by-step explanation:

welcome

Answer:

x = 12

y = 13

Step-by-step explanation:

Let's assume the two numbers as x and y.

The sum of the two numbers is 25

So,

The product of the two numbers is 156

Hence, the two numbers are 13 and 12.

Example: we have to find 2 number : a and b

(1)(2) ⇒ 156/b =  25 - b

⇒ 156/b - 25 + b = 25 - b - 25 + b

⇒ b - 25 + 156/b = 0

⇒ (b - 25 + 156/b) × b = 0 × b = 0

⇒ b² - 25b + 156  = 0

⇒ b² - (13b + 12b) + 156 = 0

⇒ b² - 13b - 12b + 156 = 0

⇒ (b² - 13b) + (- 12b + 156) = 0

⇒ b(b - 13) - 12(b - 13) = 0

⇒ (b - 13)(b - 12) = 0

⇒ b = 13 or b = 12

Answer: 12 and 13

OK done. Thank to me :>

Scatterplots are utilized to plot data of interest on a flat and an upward pivot in the endeavor to show the amount one variable is impacted by another.

A chart that shows two numerical variables. The results of these dependent parameters for each of the people are represented as points on the graph's horizontal directions, one for each variable.

At Stage Eight of linear regression, one of the two or more variables is considered the informative variable while the second variable is considered the can, therefore. In this instance, the response variable is represented on the vertical axis while the important point is plotted on the horizontal line (x-axis) (y-axis).

Scatterplots are utilized to plot data of interest on a flat and an upward pivot in the endeavor to show the amount one variable is impacted by another.

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Answer:

9.5 feet would be the width!!!

Answer:

9.5 feet

Step-by-step explanation:

The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length and W is the width.

Given that P = 43.8 and L = 12.4, we can put these values into the formula and solve for W.

43.8 = 2(12.4 + W)

Dividing both sides by 2, we get:

21.9 = 12.4 + W

Subtracting 12.4 from both sides, we get:

9.5 = W

Therefore, the width of the rectangular garden is 9.5 feet.

Hope this helped :)

Answer: Pressure and Volume have an inverse and Temperature and Moles have an inverse relationship

Step-by-step explanation:

There is an inverse relationship between the following variables that define the properties of a gas:

1. Pressure (P) and Volume (V): According to Boyle's Law, when the temperature (T) is held constant, the product of pressure and volume remains constant for a given amount of gas. Mathematically, PV = constant. As one variable increases, the other decreases, indicating an inverse relationship.

2. Temperature (T) and Volume (V) in certain cases: In the case of Charles's Law, when the pressure is constant, the volume is directly proportional to temperature. However, if we consider a constant product of temperature and volume (TV = constant), and the pressure increases, then we observe an inverse relationship between temperature and volume.

Remember, these inverse relationships occur while keeping other variables constant. This is a multiple response question as both relationships mentioned above display an inverse relationship between different variables that define the properties of a gas.

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Answer:

Comencemos por encontrar el número total de monedas en el frasco. Sabemos que hay 15 centavos, 18 monedas de diez centavos y 21 cuartos, así que:

Número total de monedas = número de centavos + número de monedas de diez centavos + número de cuartos

Número total de monedas = 15 + 18 + 21

Número total de monedas =

También sabemos que hay 83 monedas en total, por lo que el número de monedas de cinco centavos se puede encontrar restando el número de centavos, monedas de diez centavos y cuartos del total:

Número de monedas = número total de monedas - número de centavos - número de monedas de diez centavos - número de cuartos

Número de níquel = 83 - 15 - 18 - 21

Número de níqueles = 29

Por lo tanto, hay 29 monedas de cinco centavos en el frasco.

Para encontrar el número de monedas que no son níqueles, podemos restar el número de monedas del total:

Número de monedas sin níquel = número total de monedas - número de monedas

Número de monedas sin níquel = 83 - 29

Número de monedas sin níquel = 54

Así que hay 54 monedas en el frasco que no son monedas de cinco centavos.

Podemos usar la ecuación "n = número total de monedas - número de centavos - número de monedas de diez centavos - número de cuartos" para encontrar el número de monedas de cinco centavos en el frasco, donde n representa el número de monedas de cinco centavos. Sustituyendo los valores dados, obtenemos:

n = 83 - 15 - 18 - 21

n = 29

Por lo tanto, la ecuación es n = 29.

Step-by-step explanation:

espero te ayude en algo

The detail from “The Gold Coin” that best supports the inference that Juan is beginning to enjoy reconnecting with people is when he helps the old woman carry her basket of fruit.

Juan is a thief, and he has been for many years. He has no friends, and he doesn't care about anyone but himself. But when he sees the old woman struggling with her groceries, he stops and helps her.

This act of kindness shows that Juan is beginning to change. He is starting to care about other people, and he is starting to understand that there is more to life than just stealing. This is a significant development in Juan's character, and it suggests that he is on the road to redemption.

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Answer:

d

Step-by-step explanation:

Option B : The market for DVDs is described by a downward sloping demand curve and an upward sloping supply curve. The price ceiling of $12 per DVD will result in a shortage of DVDs.

In a competitive market, the market price of a good will be set at the intersection of the demand curve and the supply curve. This is the point where the quantity of the good that consumers are willing to buy at a given price is equal to the quantity that producers are willing to sell. At this market price, producer surplus is equal to the area above the supply curve and below the market price, up to the quantity supplied.

In this scenario, the producer surplus will be equal to the area between the supply curve and the price ceiling, up to the quantity that is supplied. Based on the diagram, the producer surplus will be equal to $900,000.

So, the answer to the question is $900,000.

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The above figure shows the market for DVDs. The government decides that all citizens deserve to watch affordable DVDs so a price ceiling of $12 per DVD is placed on DVDs. After this price ceiling is in effect, producer surplus equals ________.

A. $1,800,000

B. $900,000

C. $400,000

D. $200,000

E. $100,000

Answer: The second deal of 20 songs for $14.85 is the better deal, as it offers a lower price per song compared to the first deal of 15 songs for $11.50.

Step-by-step explanation: For the first deal, we are getting 15 songs for $11.50.

Price per song for the first deal = total cost / number of songs = $11.50 / 15 = $0.77 per song

For the second deal, we are getting 20 songs for $14.85.

Price per song for the second deal = total cost / number of songs = $14.85 / 20 = $0.74 per song

Answer:

20 iTunes songs for $14.85

Step-by-step explanation:

This is the best deal the only thing that changes is that it add 3 more dollars.

This means that there is a \(31.25%\) chance of having the same number of boys and girls, or roughly \(0.3125.\)

The binomial-probability formula can be used to determine the likelihood of having a specific number of boys and girls, assuming that the odds of having either a boy or a girl are equal, which is \(1/2:\)

\(C(n,k) = P(X=k) * p^k * (1-p)^{n-k}\)

Where:

k is the number of successes, which is the number of boys the couple wants to have and is also equal to the number of girls because they want an equal number of each; in this case,\(k = 6\), where n is the number of tries, which is the number of children the couple expects to have. As a result,\(k = n/2 = 3\) and p is the success-probability, which is equal to the likelihood of having a boy or girl, which is equals to \(1/2\). \(C(n,k) = n! / (k! * (n-k)!)\), where! stands for the factorial function, is the number of combinations of n things taken k at a time.

\(0.3125.\)

When these values are added to the formula:

\(P(X=3) = C(6,3) × (1/2)^3 * (1/2)^(6-3) \\= 20 * (1/2)^6\\= 0.3125\)

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