If £2000 is placed into a bank account that pays 3% compound interest per year,
how much will be in the account after 2 years?

Okay, here we have this:

Considering the provided graph, we obtain the following:

We can see in the graph that the interval that starts at -6, where it is closed, and goes up to 3, where it is an open, then we have: [-6, 3), and the inequality is -6≤x<3.

Then, the correct answer is the first option.

Answer:

solve 26x+50=193 which equals 5.5

Step-by-step explanation:

Answer:

components: {16,11}, distance: 194.16 yards

Step-by-step explanation:

to find the length of a point to another point that has different y and x points you use the pythagorean theorem (a^2 + b^2 = c^2)

16 and 11 are the distances from her house

16^2 + 11^2 = c^2

c^2 = 377

c = 19.416...

but we dont stop here

we have to convert this to yards by multiplying it by ten

19.416 * 10 = 194.16 yards

Answer:

B

Step-by-step explanation:

Just did the test

(1) Using the Black/Scholes Option Pricing Model, the value of the call option is $7.70.

(2) The intrinsic value of the call is the difference between the stock price and the strike price of the option. Therefore, it is $4.

(3) The stock price required to break-even is the sum of the strike price and the option premium. Therefore, it is $74.

(4) If volatility were to decrease, the value of the call would decrease.

(5) If the exercise price would increase, the value of the call would decrease.

(6) If the time to maturity were 3-months, the value of the call would decrease.

(7) If the stock price were $62, the value of the call would be zero.

(8) The maximum value that a call option can take is unlimited.

In the Black/Scholes option pricing model, the value of a call option can be calculated using the formula:

C = S*N(d1) - X*e^(-rT)*N(d2)

where S is the stock price, X is the exercise price, r is the risk-free rate, T is the time to maturity, and σ2 is the variance of the stock's return.

Using the given values, we can calculate d1 and d2:

d1 = [ln(S/X) + (r + σ2/2)T]/(σ2T^(1/2))

   = [ln(74/70) + (0.10 + 0.50/2)*0.5]/(0.50*0.5^(1/2))

   = 0.9827

d2 = d1 - σ2T^(1/2) = 0.7327

Using these values, we can calculate the value of the call option:

C = S*N(d1) - X*e^(-rT)*N(d2)

= 74*N(0.9827) - 70*e^(-0.10*0.5)*N(0.7327)

= $7.70

The intrinsic value of the call is the difference between the stock price and the strike price of the option. Therefore, it is $4.

The stock price required to break-even is the sum of the strike price and the option premium. Therefore, it is $74.If volatility were to decrease, the value of the call would decrease. This is because the option's value is directly proportional to the volatility of the stock.

If the exercise price would increase, the value of the call would decrease. This is because the option's value is inversely proportional to the exercise price of the option.

If the time to maturity were 3-months, the value of the call would decrease. This is because the option's value is inversely proportional to the time to maturity of the option.If the stock price were $62, the value of the call would be zero. This is because the intrinsic value of the call is zero when the stock price is less than the strike price.

The maximum value that a call option can take is unlimited. This is because the value of a call option is directly proportional to the stock price. As the stock price increases, the value of the call option also increases.

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Answer:

surface area of a cube is 24 cm².

➡Edge length = ?

➡ volume = ?

Total Surface Area = 6(edge)²

Volume of cube = (edge)³

i) surface area of a cube is 24 cm²

⇒ 6(edge)² = 24

⇒ (edge)² = 24/6

⇒ (edge)² = 4

⇒ (edge) = √4 = + 2 ( as edge length cannot be negative)

Hence, edge of the cube is 2 cm

ii) volume = ?

volume= (edge)³

volume = (2)³

volume = 8 cm³

Hense, volume of the cube is 8cm³

\( \large \:\sf \underline{Explanation.}\)

\(\sf{\underline{Given}}\)

\(\sf{\underline{Formula}}\)

\( \sf \: {Let's \: Begin}\)

(i) Find the length of its edge.

Let edge = x

We know that,

TSA of cube = 6a²

6a² = 24

a² = 24/6

a² = 4

a = √ 4 { Ignore negative value}

a = 2

\( \bf \pink{length \: of \: edge \: \: = \: 2 \: cm}\)

(ii) Find its volume.

We know that,

(2)³

= 8

\( \bf \green{volume \: = \: 8 \: cm {}^{3} }\)

Thus ,

\( \red {\rule{ \170pt}{4pt}}\)

Answer:

Linear

Step-by-step explanation:

The x value side goes up by 7 while y values are going down by 5. Its a constant proportionality of 7 and 5.

In February, Robbins and Myers, Inc. executed a 2-for-1 split, then the

(a) . The shares did she hold after the split is 940 shares.

(b) . The post-split price per share is $34.74

(c) . Janine didn't gain or lose any money during the event.

Based on the given conditions,

In February, Robbins and Myers, Inc. executed a 2-for-1 split.

That means,

2 - for - 1 stock split.

= 2 / 1

= 2

(a) . How many shares did she hold after the split?

Then,

Janine had 470 shares before the split.

Each share was worth $69.48.

= 470 shares * 2

= 940 shares

Hence,

The shares did she hold after the split is 940 shares.

(b) . What was the post-split price per share?

Each share was worth $69.48.

Then,

= $69.48/2

= $34.74

Hence,

The post-split price per share is $34.74

(c) . Show that the split was a monetary non-event for Janine

We can write,

After the split, Janine had 940 share worth $34.74.

Since they doubled the amount of share, but decrease the amount of each share.

So,

Janine didn't gain or lose any money during the event.

Therefore,

Robbins and Myers, Inc. executed a 2-for-1 split,

(a) . The shares did she hold after the split is 940 shares.

(b) . The post-split price per share is $34.74

(c) . Janine didn't gain or lose any money during the event.

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Answer:

$509.60 is how much he will make in total.

Step-by-step explanation:

Create an equation from the word problem and solve.

Answer:

Dale put 6.21 grams of salt into the soup in all

Step-by-step explanation:

Arithmetic

There are situations where different mathematic operations must be done in order to find the required results. Four operations are known as basics in arithmetic: addition, subtraction, multiplication, and division.

The question describes how Dale added 5.0 grams of salt into a pot of soup and then he added 0.31 grams of salt more. This means the total amount of salt added by Dale into the soup is the sum of both quantities:

Total salt added = 5.9 grams + 0.31 grams = 6.21 grams.

Dale put 6.21 grams of salt into the soup in all

xx+1=132=131=xx=x=131/x

The negative multinomial log-likelihood (Equation 10.14) is equivalent to the negative log of the likelihood expression (Equation 4.5) when there are 'm' categories.

Let's start by defining the negative multinomial log-likelihood (Equation 10.14) and the likelihood expression (Equation 4.5).

The negative multinomial log-likelihood (Equation 10.14) is given by:

L(θ) = -∑[i=1 to m] yₐ log(pₐ)

Where:

L(θ) represents the negative multinomial log-likelihood.

θ is a vector of parameters.

yₐ is the observed frequency of category i.

pₐ is the probability of category i.

The likelihood expression (Equation 4.5) is given by:

L(θ) = ∏[i=1 to m] pₐ

Where:

L(θ) represents the likelihood.

θ is a vector of parameters.

yₐ is the observed frequency of category i.

pₐ is the probability of category i.

To show the equivalence between the negative multinomial log-likelihood and the negative log of the likelihood expression, we need to take the logarithm of Equation 4.5 and then negate it.

Taking the logarithm of Equation 4.5:

log(L(θ)) = ∑[i=1 to m] yₐ log(pₐ)

Negating the logarithm of Equation 4.5:

-N log(L(θ)) = -∑[i=1 to m] yₐ log(pₐ)

Comparing the negated logarithm of Equation 4.5 with Equation 10.14, we can see that they are equivalent expressions. Therefore, the negative multinomial log-likelihood is indeed equivalent to the negative log of the likelihood expression when there are 'm' categories.

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Answer:

No because in question the boys is first and girls are second so according to your question the correct ratio is 3:4

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

The power series expansion of f(x) is:

f(x) = 2 - (10/11)x + (130/363)x^2 - (12870/1331)x^3 + ... (for |x/11| < 1)

We can use the binomial series to expand the function f(x) = 2(1-x/11)^(2/3) as a power series:

f(x) = 2(1-x/11)^(2/3)

= 2(1 + (-x/11))^(2/3)

= 2 ∑_(n=0)^(∞) (2/3)_n (-x/11)^n (where (a)_n denotes the Pochhammer symbol)

Using the Pochhammer symbol, we can rewrite the coefficients as:

(2/3)_n = (2/3) (5/3) (8/3) ... ((3n+2)/3)

Substituting this into the power series, we get:

f(x) = 2 ∑_(n=0)^(∞) (2/3) (5/3) (8/3) ... ((3n+2)/3) (-x/11)^n

Simplifying this expression, we can write:

f(x) = 2 ∑_(n=0)^(∞) (-1)^n (2/3) (5/3) (8/3) ... ((3n+2)/3) (x/11)^n

Therefore, the power series expansion of f(x) is:

f(x) = 2 - (10/11)x + (130/363)x^2 - (12870/1331)x^3 + ... (for |x/11| < 1)

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Approximately 60% of stolen vehicles are attributed to having unlocked doors.

To ensure your safety while driving and protect your vehicle from theft, it is advisable to always lock your car doors. When it comes to stolen vehicles, a significant percentage can be attributed to having unlocked doors.
Based on the options provided, the correct answer would be 60%. Approximately 60% of stolen vehicles are attributed to having unlocked doors. This means that a majority of vehicle thefts could have been prevented if the car doors were locked.
Locking your car doors serves as a deterrent to potential thieves and makes it more difficult for them to gain access to your vehicle. It adds an extra layer of protection and reduces the chances of your car being stolen.
Remember, it's important to not only lock your car doors but also take other preventive measures such as parking in well-lit areas, not leaving valuable items visible in your car, and using additional security devices like steering wheel locks or car alarms.
By following these safety precautions and keeping your car doors locked, you can significantly reduce the risk of your vehicle being stolen.

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Answer:

The variable t is equal to 9.

Step-by-step explanation:

We are given t • 7 = 63.  To solve this for t, we divide both sides of this equation by 7, obtaining:

t = 63/7 = 9

The variable t is equal to 9.

Answer:

  D.  a[1] = 12; a[n] = 33·a[n-1]

Step-by-step explanation:

You can make the correct choice by seeing what you get with n=1 and n=2 in the various expressions.

In general,

  an = a1·r^(n-1)

For n=1, the value of this is ...

  a1 = a1·r^(1-1) = a1·r^0 = a1 . . . . as you expect.

That is, the a1 term of the recursive formula is the leading coefficient in the explicit formula.

__

For n=2, you have ...

  a2 = a1·r(2-1) = a1·r

That is, the previous term was multiplied by r. In the given explicit formula, r=33, so the recursive formula will tell you ...

  a[n] = 33·a[n-1]

__

Altogether, we have ...

  \(\boxed{a_1=12,\ a_n=33a_{n-1}}\)

Answer:

y + 10 =2( x +1)

or

y -2 + 2( x -5)

These both name the same line.

Step-by-step explanation:

First we need to find the slope.  The slope is the change in y over the change in x.  In the point (-1,-10)

-1 is the x and -10 is the y.

In the point (5,2)  

5 is the x and 2 is the y.

\(\frac{2- -10)}{5 - -1)}\)  Subtracting a negative is the same as adding a positive.

\(\frac{2+ 10}{5+1}\) = \(\frac{12}{6}\) = 2

We know know the slope.  We will use the form

y - \(y_{1}\) = m (x-\(x_{1}\))  we will plug in the numbers that we know.  

If we use point (-1, -10)

y -- -10 = 2(x - -1)

y + 10 = 2( x+1)

If we use the point (5,2)

y -2 = 2(x -5)

Both equations mean the same thing.

Answer:

Your answer is D

Step-by-step explanation:

45 divided by 5 equals 9

Answer:

easy 45 dived by 9 is 5

Step-by-step explanation:

hope it helps

Step-by-step explanation:

integral from 0 to 2pi of cos3x

(sin3x)/3 from 0 to 2 pi

sin 6pi /3 - sin 0 /3 = 0

Answer: x=-7

Step-by-step explanation:

The probabilities as follows:

A. P(F2|F1) = 0.3 (30%)

B. P(F1|F2) = 0.25 (25%)

C. P(F1 or F2) = 0.19 (19%)

D. P(not F1 and not F2) = 0.81 (81%)

To solve this problem, we can use the concept of conditional probability and the principle of inclusion-exclusion.

Given:

P(F1) = 0.10 (Probability of failing at Check Point 1)

P(F2) = 0.12 (Probability of failing at Check Point 2)

P(F1 and F2) = 0.03 (Probability of failing at both Check Point 1 and Check Point 2)

A. To find the probability that an item failed at Check Point 1 and also failed at Check Point 2 (F2|F1), we use the formula for conditional probability:

P(F2|F1) = P(F1 and F2) / P(F1)

Substituting the given values:

P(F2|F1) = 0.03 / 0.10

P(F2|F1) = 0.3

Therefore, the probability that an item failed at Check Point 1 and also failed at Check Point 2 is 0.3 or 30%.

B. To find the probability that an item failed at Check Point 2 given that it failed at Check Point 1 (F1|F2), we use the same formula:

P(F1|F2) = P(F1 and F2) / P(F2)

Substituting the given values:

P(F1|F2) = 0.03 / 0.12

P(F1|F2) = 0.25

Therefore, the probability that an item failed at Check Point 2 and also failed at Check Point 1 is 0.25 or 25%.

C. To find the probability that an item failed at either Check Point 1 or Check Point 2 (F1 or F2), we can use the principle of inclusion-exclusion:

P(F1 or F2) = P(F1) + P(F2) - P(F1 and F2)

Substituting the given values:

P(F1 or F2) =\(0.10 + 0.12 - 0.03\)

P(F1 or F2) = 0.19

Therefore, the probability that an item failed at either Check Point 1 or Check Point 2 is 0.19 or 19%.

D. To find the probability that an item failed at neither of the check points (not F1 and not F2), we can subtract the probability of failing from 1:

P(not F1 and not F2) = 1 - P(F1 or F2)

Substituting the previously calculated value:

P(not F1 and not F2) = 1 - 0.19

P(not F1 and not F2) = 0.81

Therefore, the probability that an item failed at neither Check Point 1 nor Check Point 2 is 0.81 or 81%.

In conclusion, we have calculated the probabilities as follows:

A. P(F2|F1) = 0.3 (30%)

B. P(F1|F2) = 0.25 (25%)

C. P(F1 or F2) = 0.19 (19%)

D. P(not F1 and not F2) = 0.81 (81%)

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Answer:x

2

(

15

x

3

+

4

x

−

24

)

Step-by-step explanation:

Answer:

She should buy the coat and pay for shipping

Step-by-step explanation:

Set up a proportion to express the the 80 pounds to yen.

\(\frac{2}{292.82}\) = \(\frac{80}{x}\)

2 x 40 = 80

292.82 x 40 = 11,712.80

230.50 + 25.30 = 255.8

255.80 < 11,712.80

Helping in the name of Jesus.

Simplifying

2x2 + 6x + 4 = 24

Reorder the terms:

4 + 6x + 2x2 = 24

Solving

4 + 6x + 2x2 = 24

Solving for variable 'x'.

Reorder the terms:

4 + -24 + 6x + 2x2 = 24 + -24

Combine like terms: 4 + -24 = -20

-20 + 6x + 2x2 = 24 + -24

Combine like terms: 24 + -24 = 0

-20 + 6x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.

2(-10 + 3x + x2) = 0

Factor a trinomial.

2((-5 + -1x)(2 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying

-5 + -1x = 0

Solving

-5 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '5' to each side of the equation.

-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0

0 + -1x = 0 + 5

-1x = 0 + 5

Combine like terms: 0 + 5 = 5

-1x = 5

Divide each side by '-1'.

x = -5

Simplifying

x = -5

Answer:

Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

-5 + -1x = 0

-5 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0

0 + -1x = 0 + 5

-1x = 0 + 5

Combine like terms: 0 + 5 = 5

-1x = 5

x = -5

Step-by-step explanation:

To determine if the data sets A and B are independent, we need to analyze the relationship between the two sets.

To determine if the data sets A and B are independent, we can examine their relationship. If there is no apparent relationship or correlation between the data sets, they can be considered independent. If there is a relationship between the data sets, they are dependent.

To find the means of both data sets, we sum up the values in each set and divide by the number of observations. For data set A, the mean is (65+68+96+55+92+69+89+71+40+91+43+54+91+47+51+88+84)/17 = 71.47. For data set B, the mean is (50+96+82+81+90+84+87+97+69+54+80+85+99+55+53+60+51)/17 = 74.18.

Since the means of data sets A and B are different (71.47 ≠ 74.18), we can conclude that the data sets are not the same.

As the data sets are not independent and have a relationship, we can find the equation of the regression line connecting them.

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Answer:

(0, 4.5)

Step-by-step explanation:

*The equation can be put into Desmos, to find the point, but the work to prove it is here*

f(x)=c/1+Ae^-Bx

Y=C

C=18      A=3      -B=-0.1

*Replace x with 0 in the equation, so you know 0 is the x value, and it leads you to the y value*

f(0)=18/1+3e^-o.1(0)

= 18/1+3e^0

=18/1+3(1)

=18/1+3

=18/4

=4.5

x=0    y=4.5

Maximum growth rate = (x,y) --> (0, 4.5)

Hope this helps:))!!

Answer:

\(a=\frac{-5}{2}\)

Step-by-step explanation:

\(2a+9=4\)

\(2a=4-9\)

\(2a=-5\)

\(a=\frac{-5}{2}\)

Answer:

Step-by-step explanation:

The loop will run an infinite number of times

Step-by-step explanation:

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