The table shows the balances of two bank accounts for 3 months. In what month will the balance of Account A be equal to the balance of
Account B?
$350
Month Account A Account B
0
$50
1 $85
$365
2 $120
$380
Month

Answer:

Step-by-step explanation:

Common ratio r = a₂/a₁ = -9/27 = -⅓

b(1) = 27

b(n) = b(1)rⁿ⁻¹ = 27(-⅓)ⁿ⁻¹

Answer: 832

Step-by-step explanation:

trust i got correct

Answer:

Question 1 : Pierre is right

Question 2 : 0.85 (because 1 - 0.15 = 0.85)

Question 3 : Less than 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

I=PRT/100

I=5000*10*4=200,000/100

I=$2000

the denominator will be zero when. \(x=-2\)or \(x=-7.\) Therefore, the domain of the expression is all real numbers except \(x=-2\) and \(x=-7\).

In mathematics, factoring refers to the process of finding the factors of a given number or expression. Factors are numbers or expressions that can be multiplied together to obtain the original number or expression. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12, because these are the numbers that can be multiplied in pairs to obtain 12 (e.g. 2 x 6 = 12).

In algebra, factoring involves breaking down an algebraic expression into simpler expressions that can be multiplied together. This is done by finding common factors or using techniques such as difference of squares, perfect squares, or grouping. Factoring is an important tool in algebra, as it can help simplify complex expressions and solve equations.

To simplify a rational expression, follow these steps:

Step 1: Factor both the numerator and denominator if possible. For example, in the expression you provided, the numerator can be factored as\((2x+5)(x+4)\)and the denominator can be factored as \((2x+15)(x+2)\).

Step 2: Cancel out any common factors in the numerator and denominator. In this case, both the numerator and denominator have a common factor of (2x+5), which can be cancelled out.

Step 3: Simplify the remaining expression. After cancelling out the common factor, the simplified expression becomes:

\((2x+5)(x+4) / (2x+15)(x+2) = (x+4) / (x+2)(2x+15)\)

Domain restrictions occur when a value of x makes the denominator equal to zero, because division by zero is undefined. In this case, the denominator will be zero when x=-2 or x=-7. Therefore, the domain of the expression is all real numbers except x=-2 and x=-7.

It is important to identify any domain restrictions before simplifying a rational expression to ensure that the final expression is valid for all values of x in its domain.

To know more about denominator, visit:

https://brainly.com/question/17153086

#SPJ1

Answer:

79 ft

Step-by-step explanation:

Golden rectangle side ratios   1 : (1+sqrt5 )/2

      (approx  1: 1.618)

15 + 15   +  2*15*1.618 = ~79 ft

BUT perhaps the 15 is the 1.618 side

15/1.618 + 15/1.618   + 15 + 15   ~ 49 feet

Option B) The statement does not make sense because the sum of the probabilities of Jonas winning and not winning the race must equal = 1

Since the above question says that the probability of Jonas winning the race is = 0.6

And the question says that the probability of Jonas losing the race is = 0.5

If we sum up the probabilities of winning and losing,

Probability = 0.4 + 0.5

= 0.9

Hence, the above situation is not possible because the probability must be = 1.

According to the phenomenon of Probability,

Let us consider two probabilities that are

The winning probability is given = x

The Losing probability is given =  y

So, x + y = 1 ( must be 1 )

Therefore, Option B) The statement does not make sense because the sum of the probabilities of Jonas winning and not winning the race must equal = 1

To learn more about Probability,

https://brainly.com/question/24756209

#SPJ4

Decide whether the following statement makes sense (or clearly true) or does not make sense (or is clearly false). Explain your reasoning. The probability that Jonas will win the race is 0.6 and the probability that he will not win is 0.5. Choose the correct answer below.

A. The statement makes sense because it is true that the probability of Jonas not winning the race is

B. The statement does not make sense because the sum of the probabilities of Jonas winning and not winning the race must equal to 1.

C. The statement makes sense because the probability of Jonas winning the race will always be between 0 and 1.

D. The statement does not make sense because the probability of Jonas winning the race cannot be greater than the probability of him not winning the race.

The rocket is 64 feet high at 3±√5 seconds.

To learn more about quadratic equations, visit :

brainly.com/question/22364785

#SPJ1

Answer:

one point five hundred sixteen thousandths

Step-by-step explanation:

The product and the quotient of the functions are as follows:

(rs)(4) =8

(r / s)(3) = 2

A function relates input and output. It relates an independent variable with a dependent variable.

Therefore, let's solve the function as follows:

r(x) = 2√x

s(x) = √x

Therefore, let's find

(rs)(4) = r(4) × s(4) = 2√4 × √4 = 4 × 2 = 8

Let's find

(r / s)(3) = r(3) / s(3) = 2√3 / √3 = 2

Therefore,

(rs)(4) =8

(r / s)(3) = 2

learn more on function here: https://brainly.com/question/17430065

#SPJ1

Answer:

3 Stamps left

Step-by-step explanation:

275/8=34.375

34*8=272

275-272=3

Answer: 3

Answer:

x=3

Step-by-step explanation:

20x-40=20

20x=20+40

20x=60

x=3

Hope this helps plz hit the crown ;D

Answer:

  m∠A = 39°

  m∠B = 39°

  m∠C = 102°

Step-by-step explanation:

m∠A + m∠B + m∠C = 180°

x + x + (x + 63) = 180

3x + 63 = 180

3x = 117

x = 39°

m∠A = 39°

m∠B = 39°

m∠C = m∠A + 63 = 39 + 63 = 102°

Answer:

39 39 102

Step-by-step explanation:

The coordinates of the fourth vertex is (1,-8).

As three of a parallelogram's vertices, we were given:

(3,-2), (-1,-4), (5,-6). (5,-6).

We see that (3,-2) and (-1,-4) form a diagonal after charting the points as in the attachment.

The midpoint formula determines what point on this diagonal is in the middle.

Keep in mind that both diagonals' midpoints are identical.

Specify the coordinates of the fourth point (x,y).

As a result of once more applying the midpoint formula to (3, -2), we get:

x=1 and y=-8

The fourth point's locational details are as follows:

(1,-8).

To learn more about vertex refer to:

https://brainly.com/question/29030495

#SPJ1

The complete question is,

A good can be produced for a total cost of 600 or 850 when making 100 units and 150 units, respectively. Discover an equation for TC in terms of Q, the number of generated units, presuming that the total cost function is linear.

Answer:

4.79458105...

Step-by-step explanation:

As you can see after the decimal all the numbers have a sequence like:5. 2626... 2 and six are repeated and 7.93333...,2.8000... 3 and 0 keeps on repeating but for 4.79458105... so there for its irrational

HOPE IT HELPED GOOD LUCK :)

The solution is, the percent of error, rounded to the nearest percent is 25%.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

given that,

While viewing a herd of cattle on a ranch, Herbert estimated that there were 750 cattle in the herd.

The actual number of cattle in the herd was 600.

now, we have to find the percent of error, rounded to the nearest percent.

so, we get,

Herbert estimated that there were 750 cattle in the herd.

The actual number of cattle in the herd was 600.

so, error = 750 - 600

              = 150

so, we get,

the percent of error = 150 * 100 / 600

                                 = 25%

Hence, The solution is, the percent of error, rounded to the nearest percent is 25%.

To learn more on percentage click:

brainly.com/question/13450942

#SPJ2

Answer:

To calculate Karl Pearson's coefficient of skewness, we need to use the formula:

Skewness = 3 * (Mean - Mode) / Standard Deviation

Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.

Standard Deviation = √Variance = √16 = 4

Now we can substitute the values into the formula:

Skewness = 3 * (73.19 - 79.56) / 4

Skewness = -6.37 / 4

Skewness = -1.5925

Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.

Answer:

  (f+g)(x) = 5x +3

Step-by-step explanation:

(f+g)(x) = f(x) +g(x)

  = (2x -6) +(3x +9)

  = 2x +3x -6 +9

(f+g)(x) = 5x +3

Answer:

9 7/8

Step-by-step explanation:

1. 4 3/8 can be converted into the improper fraction 35/8, and 5 1/2 can be converted into 11/2.

2. Now that we have 35/8 + 11/2, we have to find a common denominator. Since 2 goes into 8 four times, we can turn 11/2 into 44/8 by multiplying the numerator and denominator (the top and the bottom numbers) by 4.

3. Now we have 35/8 + 44/8. At this point, the all we have to do is add the numerators (the top numbers). 35+44=79, so our answer is 79/8, which we can simplify to 9 7/8.

The draw that describes this situation looks like this:

Drawing this helped us to know that the ladder forms a right triangle with one of the walls of the house.

When we have right triangles we can apply the Pythagoras theorem, from the Pythagoras theorem we can express:

Solving for h, we get:

Then, the ladder reach 12 feet up the side of the house

Answer:

Westbound = x;

Eastbourne = x-20;

So they will have the common rate: 360/2 = 180;

x+x-20 = 180

2x = 200;

x = 100;

So Eastbourne will be 100-20 = 80 miles per an hour;

Answer:

A

Step-by-step explanation:

|x|< 3 translates to

x < 3 AND -x < 3

which simplifies to

x < 3 AND x > -3

so, yes, -3 < x < 3

Answer:

c is the correct answer..........

Answer:

c

Step-by-step explanation:

Answer:

1-2x

Step-by-step explanation:

\((7+2x)-(4x+6)=7+2x-4x-6=1-2x\)

The value of secant XY is 37.5 units.

The Secant-Secant Theorem states that "if two secant segments which share an endpoint outside of the circle, the product of one secant segment and its external segment is equal to the product of the other secant segment and its external segment".

Using the theorem above, we can say:

VZ * VW = VX * VY

30 * 45 = 22.5 * VY

22.5VY = 1350

VY = 1350/22.5

VY = 60 units

Since VY = VX + XY. We have:

60 = 22.5 + XY

XY = 60 - 22.5

XY = 37.5 units

Learn more about Secant-Secant Theorem on:

https://brainly.com/question/30242636

#SPJ1

Answer:

The binomial probability distribution is shown below.

Step-by-step explanation:

The probability mass function of X is:

\(P(X=x)={n\choose x}p^{x}(1-p)^{n-x};x=0,1,2,3..\)

It is provided that n = 6 and p = 0.25.

Construct a binomial probability distribution with the given parameters as follows:

X                                       P (X = x)

0        \(P(X=0)={6\choose 0}(0.25)^{0}(1-0.25)^{6-0}= 0.1780\)

1         \(P(X=1)={6\choose 1}(0.25)^{1}(1-0.25)^{6-1}= 0.3560\)

2        \(P(X=2)={6\choose 2}(0.25)^{2}(1-0.25)^{6-2}= 0.2966\)

3        \(P(X=3)={6\choose 3}(0.25)^{3}(1-0.25)^{6-3}= 0.1318\)

4       \(P(X=4)={6\choose 4}(0.25)^{4}(1-0.25)^{6-4}= 0.0330\)

5       \(P(X=5)={6\choose 5}(0.25)^{5}(1-0.25)^{6-5}= 0.0044\)

6       \(P(X=6)={6\choose 6}(0.25)^{6}(1-0.25)^{6-6}= 0.0002\)

Compute the mean and standard deviation as follows:

\(\mu=np=6\times0.25=1.50\\\\\sigma=\sqrt{np(1-p)}=\sqrt{6\times 0.25\times (1-0.25)}=1.0607\)

Binomial probability distribution was constructed, and the mean and standard deviation comes to be 1.5 and 1.061 respectively.

As we know that binomial probability distribution is given by

\(P(x) = ^nC_xp^x(1-p)^{n-x}\)

The binomial distribution is a probability distribution that depicts the likelihood that a value will take one of two independent values under a given set of parameters.

Given n=6 & p=0.25

\(P(0) = ^6C_0(0.25)^0(1-0.25)^{6-0}\) = 0.1780

\(P(1) = ^6C_1(0.25)^1(1-0.25)^{6-1}\)=0.3560

\(P(2) = ^6C_2(0.25)^2(1-0.25)^{6-2}\) = 0.2966

\(P(0) = ^6C_3(0.25)^3(1-0.25)^{6-3}\) =0.1318

\(P(0) = ^6C_4(0.25)^4(1-0.25)^{6-4}\)=0.0330

\(P(5) = ^6C_5(0.25)^5(1-0.25)^{6-5}\)=0.0044

\(P(6) = ^6C_6(0.25)^6(1-0.25)^{6-6}\)= 0.0002

Mean = np

Mean = 6*0.25

Mean = 1.5

Standard deviation σ = \(\sqrt{np(1-p)}\)

σ = \(\sqrt{6*0.25(1-0.25)}\)

σ = 1.061

Hence, binomial probability distribution was constructed, and the mean and standard deviation comes to be 1.5 and 1.061 respectively.

To get more about binomial distribution visit:

https://brainly.com/question/24756209

Answer:

the graph of y=f(x)will shift up 9 units

The markup amount of the purchase is $1114

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

Discount = 30%

Selling price = $780

The markup amount is calculated using the following equation

Selling price = Markup amount * (1 - discount)

Make the markup the subject

Markup = Selling price/(1 - discount)

Substitute the known values in the above equation, so, we have the following representation

Markup = 780/(1 - 30%)

Evaluate

Markup = 1114

Hence, the markup is $1114

Read more about mark up and down at

https://brainly.com/question/13947617

#SPJ1

In order to have a linear equation, you have to write an equation like

\(y=mx+q\)

The sequence has to start with 3, so we must choose \(q=3\), because this guarantees that when \(x=0\) we have

\(y=0\cdot m + 3 =3\)

Now, \(m\) must be even. In fact, if \(m\) is even, \(mx\) will always be even for every possible \(x\), and \(mx+3\) will be odd.

So, for example, you might choose

\(y=2x+3\)

Which will produce the following sequence:

\(\begin{array}{c|c}x&f(x)\\0&3\\1&5\\2&7\\3&9\end{array}\)

and so on