6 months ago, Juan used his credit card for a transaction of 128 dollars. The bank charges a rate of interest
of 50% per month compounded monthly
How much does Juan owe to the bank today?

Answer:

Yes it is a polynomial function

Answer:

0.1636 = 16.36% probability that Kobe makes his 10th free throw on his 14th shot

Step-by-step explanation:

For each free throw, there are only two possible outcomes. Either he makes it, or he misses. The probability of making a free throw is independent of any other free throw, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

He is able to make a free throw 70% of the time.

This means that \(p = 0.7\)

What is the probability that Kobe makes his 10th free throw on his 14th shot?

9 of his first 13(P(X = 9) when n = 13), and then the 10th with 0.7 probability.

Thus

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 9) = C_{13,9}.(0.7)^{9}.(0.3)^{3} = 0.2337\)

0.7*0.2337 = 0.1636

0.1636 = 16.36% probability that Kobe makes his 10th free throw on his 14th shot

Answer:

0 liters

Step-by-step explanation:

The first step in solving this problem is to find the volume of water that was originally in the tank when it was filled up to of its height. Since the tank is rectangular, we can use the formula for the volume of a rectangular prism:

Volume of tank = length x width x height = 100 cm x 80 cm x 30 cm = 240,000 cm³

Since the tank was filled up to of its height, the volume of water in the tank at this point is:

Volume of water in tank = 100 cm x 80 cm x 30 cm x 0.5 = 1,200,000 cm³

To find the amount of water that was poured into the tank to fill it up to 3 of its height, we need to subtract the volume of water that was originally in the tank from the total volume of water when it is 3 filled, which is 384 liters or 384,000 cm³ (since 1 liter = 1000 cm³):

Volume of water poured into tank = Volume of water when 3 filled - Volume of water in tank at of its height

= 384,000 cm³ - 1,200,000 cm³

= -816,000 cm³

Wait a minute, this result is negative, which means there was no water poured into the tank to reach the 3 filled level. In fact, it suggests that there was an excess of water that had to be removed from the tank to reach the desired level. This could be because the dimensions of the tank were not exact or because the tank was not level when filled to the first level.

Therefore, the answer to the problem is 0 liters or 0 cm³.

Note: It is important to always check the result of a calculation to ensure it makes sense in the context of the problem. In this case, the negative volume of water poured into the tank indicates that there may be an error in the problem statement or in the measurements provided.

Answer:

\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2

Step-by-step explanation:

a recursive formula in a geometric sequence allows a term to be found by multiplying the preceding term by the common ratio r

here r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{-16}{-2}\) = 8 , then

\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2

Answer:

The number of acres of genetically modified crops were grown worldwide in 2012 is approximately 529.39 million.

Step-by-step explanation:

Note: There are mistakes in this question particularly in the years and the rate of change. The question is therefore correctly stated before answering the question as follows:

Suppose the total number of acres of genetically modified crops grown in developing countries from 2006 through 2012 was changing at the rate of R′(t) = 2.613t^2 − 17.7t + 41.38 (0 ≤ t ≤ 6). The total number of acres of such crops grown in 2006 (t=0) was 18.1 million acres. How many acres of genetically modified crops were grown worldwide in 2012?

The explanation to the answer is now given as follows:

From the question, we are given:

R′(t) = 2.613t^2 - 17.7t + 41.38 ................................... (1)

Since t = 0 corresponds to 2006; by counting from 2006 to 2012, it implies that t = 6 corresponds to 2013.

Substituting t = 6 into equation to obtain the rate of change in 2012, we have:

R′(6) = (2.613* 6^2) - (17.7 * 6) + 41.38

R'(6) = 29.248

The number of acres of genetically modified crops were grown worldwide in 2012 can therefore be calculated as follows:

Number of acres grown worldwide in 2012 = Number of acres grown worldwide in 2006 * R'(6) ......................... (2)

Where;

Number of acres grown worldwide in 2006 = 18.1 million acres

R'(6) = 29.248

Substituting the values into equation (2), we have:

Number of acres grown worldwide in 2012 = 18.1 *  29.248 = 529.3888 million

Approximating to 2 decimal places, we have:

Number of acres grown worldwide in 2012 = 529.39 million

Therefore, the number of acres of genetically modified crops were grown worldwide in 2012 is approximately 529.39 million.

The area of the parallelogram is 35 square millimeters.

To find the area of a parallelogram, we multiply the base by the height. Given that the base of the parallelogram is 10 mm and the height is 3.5 mm, we can calculate the area as follows:

Area = base * height

Area = 10 mm * 3.5 mm

Area = 35 mm²

Therefore, the area of the parallelogram is 35 square millimeters.

It is also important to remember to include the units when giving the answer, which in this case is square millimeters (mm²).

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Based on the coldest temperature in Buffalo and the difference in the temperature of Chicago, the equation that can be used to find the coldest temperature in Chicago is C. C - 12 = -39; -27°

When temperatures are warmer, it means that they are higher. This means that to find the coldest temperature in Chicago, you need to add 12°F to the temperature of Buffalo.

The formula would therefore be:

C = -39 + 12

Making the Buffalo temperature the subject gives;

C - 12 = -39

The coldest temperature in Chicago is:

= -39 + 12

= -27°F

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Answer:

it is really puzzled

I will think for it

The surface area of the square Pyramid with a side length of 2 yards and a slant height of 2 yards is 12 square yards.

The surface area of a square pyramid, we need to calculate the area of each face and then sum them up.

A square pyramid has four triangular faces and one square base. The area of the base is equal to the side length squared, while the area of each triangular face can be found using the formula: (1/2) * base * height.

Given that the side length of the square pyramid is 2 yards and the slant height is also 2 yards, we can calculate the surface area as follows:

Area of the base = (side length)^2 = 2^2 = 4 square yards

Area of each triangular face = (1/2) * base * height = (1/2) * 2 * 2 = 2 square yards

Now, let's calculate the total surface area of the square pyramid:

Total surface area = Area of the base + 4 * Area of each triangular face

Total surface area = 4 + 4 * 2 = 4 + 8 = 12 square yards

Therefore, the surface area of the square pyramid with a side length of 2 yards and a slant height of 2 yards is 12 square yards.

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The expression for the area that includes an exponent is 6² + (6 × 2) + 24

Area of the entire figure is 72 square inches

The dimension of the entire figure is 9 inches by 8 inches

From the question, we are to write an expression for the area of the entire figure

Area of the entire figure = Area of green shape + Area of white shape + Area of blue shape

Area of the entire figure = 6² + (6 × 2) + 24 square inches

The expression is 6² + (6 × 2) + 24

Thus,

Evaluating

Area of the entire figure = 6² + (6 × 2) + 24

Area of the entire figure = 36 + 12 + 24

Area of the entire figure = 72 square inches

b. The dimension of the entire figure

Width of the entire figure = Length of the green square + Width of the white rectangle

Width of the entire figure = 6 inches + 2 inches

Width of the entire figure = 8 inches

Then,

Length of the entire figure = Length of the white rectangle + Width of the blue rectangle

First, we will determine the width of the blue rectangle

Using the formula,

Area = l  × w

Where l is the length

and w is the width

24 = (2 + 6) × w

24 = 8 × w

w = 24/8

w = 3 inches

Therefore,

Length of the entire figure = 6 inches + 3 inches

Length of the entire figure = 9 inches

Hence, the dimension is 9 inches by 8 inches

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Answer:

2(4x-5)

Step-by-step explanation:

find the greatest common factor (biggest number that goes into 8 and 10)

it is two

divide both by two

put 2 on the outside to symbolize that you multiply the inside by 2

2(4x-5)

Answer:

\(2(4x - 5)\)

Step-by-step explanation:

1) Find the Greatest Common Factor (GCF).

\(gcf = 2\)

2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

\(2( \frac{8x}{2} - \frac{10}{2} )\)

3) Simplify each term in parentheses.

\(2(4x - 5)\)

Therefor, the answer is Option B.

Answer:

there would be a difference in mean

Answer:

The probability that the selected review was submitted in Word format is 0.56.

Step-by-step explanation:

We are given that Data on recent reviews indicates that 50% of them are short, 30% are medium, and the other 20% are long. Reviews are submitted in either Word or LaTeX. For short reviews, 70% are in Word, whereas 50% of medium reviews are in Word and 30% of long reviews are in Word.

Let the probability that there are short reviews = P(S) = 0.50

The probability that there are medium reviews = P(M) = 0.30

The probability that there are long reviews = P(L) = 0.20

Let W = event that the reviews are submitted in either Word or LaTeX

So, the probability that short reviews are submitted in Word = P(W/S) = 0.70

The probability that medium reviews are submitted in Word = P(W/M) = 0.50

The probability that long reviews are submitted in Word = P(W/L) = 0.30

(a) The probability that the selected review was submitted in Word format is given by = P(W)

    P(W) = P(S) \(\times\) P(W/S) + P(M) \(\times\) P(W/M) + P(L) \(\times\) P(W/L)  

             = (0.50 \(\times\) 0.70) + (0.30 \(\times\) 0.50) + (0.20 \(\times\) 0.30)

             = 0.35 + 0.15 + 0.06

             = 0.56

Hence, the probability that the selected review was submitted in Word format is 0.56.

(b) Now, if the selected review was submitted in Word format, the posterior probabilities of it being short is given by = P(S/W)

        P(S/W) = \(\frac{P(S) \times P(W/S)}{P(S) \times P(W/S)+P(M) \times P(W/M)+P(L) \times P(W/L)}\)

                    = \(\frac{0.50\times 0.70}{0.50\times 0.70+0.30\times 0.50+0.20\times 0.30}\)

                    = \(\frac{0.35}{0.56}\) = 0.625

Similarly, if the selected review was submitted in Word format, the posterior probabilities of it being medium is given by = P(M/W)

        P(M/W) = \(\frac{P(M) \times P(W/M)}{P(S) \times P(W/S)+P(M) \times P(W/M)+P(L) \times P(W/L)}\)

                     = \(\frac{0.30\times 0.50}{0.50\times 0.70+0.30\times 0.50+0.20\times 0.30}\)

                     = \(\frac{0.15}{0.56}\) = 0.268

Also, if the selected review was submitted in Word format, the posterior probabilities of it being long is given by = P(L/W)

        P(L/W) = \(\frac{P(L) \times P(W/L)}{P(S) \times P(W/S)+P(M) \times P(W/M)+P(L) \times P(W/L)}\)

                     = \(\frac{0.20\times 0.30}{0.50\times 0.70+0.30\times 0.50+0.20\times 0.30}\)

                     = \(\frac{0.06}{0.56}\) = 0.107.

Answer:

I don't know what are you saying bro

Answer:

Emily is now 12.

Jacob is now 16.

Step-by-step explanation:

since Emily is 4yrs younger than Jacob, let Jacob be x and Emily be (x - 4) yrs.

eight yrs ago: Emily is ( x-4-8) = ( x - 12)

Jacob is ( x - 8)

Emily was half Jacob's age: so, we have to balance the ages by either multiplying Emily's age by 2 or dividing Jacob's age by 2. ( I multiplied by 2)

2( x - 12) = x - 8

2x - 24 = x - 8............ Bring the like terms together and solve for x

x = 16, which is Jacob's current age

Emily ( x - 4) = 12 yrs

Answer:

i dont understand

Step-by-step explanation:

i took test

Answer:

X + 2y = 1

3x + y = 13

Step-by-step explanation:

A and b are the coefficients of X and y

I wasn't sure about my answer so used Gauthmath

Answer:

ddecimal is a fraction

Step-by-step explanation:

Oh a decimal is a fraction written in a special form

Answer:

5870.23

The digit 3

Step-by-step explanation:

Answer:

  -91, -90

Step-by-step explanation:

Their average is -181/2 = -90 1/2.  This value is halfway between the two integers, which are ...

  -91, -90

Answer:

-91,-90

Step-by-step explanation:

To find the total in the retirement account after 38 years of investing with monthly contributions and an interest rate of 4.99%, we can use the compound interest formula.

The formula for the future value of an investment with regular monthly contributions is given by:

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

Where:

FV is the future value or the total in the retirement account.

P is the monthly contribution amount.

r is the monthly interest rate (annual interest rate divided by 12).

n is the number of monthly contributions (years invested multiplied by 12).

Let's calculate the total:

P = $225

r = 4.99% / 100 / 12 = 0.0041583 (monthly interest rate)

n = 38 * 12 = 456 (number of monthly contributions)

FV = $225 * [(1 + 0.0041583)^456 - 1] / 0.0041583

Using a financial calculator or spreadsheet, we can evaluate this expression to find the future value or total in the retirement account.

The calculated total may vary depending on the compounding frequency and rounding used.

Answer: The answer is 9 flowers. Hope this helps!

Step-by-step explanation:

Earth's diameter is 0.0092 times less than the sun's diameter.

The Diameter of Earth = 1.3 * 10⁴ km

The Diameter of Moon = 3.5 * 10³ km

Let the diameter of sun be x km

According to the question

The diameter of the sun is 400 times that of the moon.

x = 400 * 3.5 * 10³ km

= 14 * 10⁵ km

The Diameter of earth / diameter of sun

=  1.3 * 10⁴ / 14 * 10⁵

= 0.0092

Hence, The diameter of the Earth is 0.0092 times that of the Sun.

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Answer:

9 or -17

Step-by-step explanation:

Hello!

The distance can be positive or negative, as we are just counting the number of units they are apart.

To find the possible coordinates for G, we can add or subtract 13 from -4 to find the possible coordinates for G.

The possible coordinates of G are 9 or -17.

Answer:

Ratios and Proportions - Proportions - In Depth. A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "twenty is to twenty-five as four is to five."

Step-by-step explanation:

look at the attachment.

The two functions have equivalent zeros if k = 60.

Here we have two functions which are:

f(x) = 4x - 20

g(x) = -12x + k

We want these two functions to have equivalent zeros, so first let's find the zero of f(x), we will get:

f(x) = 4x - 20 =0

4x  = 20

x = 20/4

x = 5

And that must also be a zero of g(x), then:

-12*5 + k = 0

Solving this for k.

-60 + k = 0

k = 60

That must be the value of k.

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Answer:

y=0.25x

We can think of k as an unknown number.

8×_=2.00

12×_=3.00

20×_=5.00

If we divide 2 with 8 we are left with 0.25.

It's the same for the other numbers so we know the constant is 0.25.

When we use the formula y=0.25x with the numbers above, it is correct.

8×0.25=2.00

12×0.25=3.00

20×0.25=5.00