You are a U.S.-based treasurer with $1,000,000 to invest. The dollar-euro exchange rate is quoted as $1.60 = €1.00 and the dollar-pound exchange rate is quoted at $2.00 = £1.00. If a bank quotes you a cross rate of £1.00 = €1.20 how can you make money? Select one: Buy £ at $2/£, buy € at €1.20/£, sell € at $1.60/€ O No arbitrage is possible None of these answers O Buy € at $1.60/€, buy £ at €1.20/£, sell £ at $2/£

23 people can go in 2000 IQ

Answer:

its 47

Step-by-step explanation:

so you add a number and then you subtract and then you divide and yiu get 4657848

Answer:

I think it would be A. the first one

Step-by-step explanation:

tell me if it was correct if it wasnt im sorry hope i dont mess u up

THIS IS GOOD Step-by-step explanation:

Answers:

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Explanation:

Linear functions, such as y = 2x+5, have a common difference. In that example, the common difference would be 2 since we add 2 to each term to get the next one. Consider when x = 1 and that leads to y = 7. Then when x = 2, we have y = 9. Then when x = 3, we have y = 11, and so on. The sequence of y values {7,9,11,...} shows we add 2 each time.

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Exponential functions have us multiply the previous term by some common factor to get the next term. A sequence like {2,6,18,...} has us multiply by 3 each time and the exponential function modeling this sequence is y = 2(3)^(x-1) where x is a natural number. So this is an example showing that exponential functions have a common factor, or we can call this a common ratio.

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Quadratic functions are a bit strange.

Let's consider the quadratic of y = x^2. The sequence of y values it generates is {1,4,9,16,25...} for positive integers x = 1, 2, 3, 4, 5....

Let's subtract the adjacent terms (larger - smaller)

Note the results of 3,5,7,9 are in a linear sequence (we're adding 2 to each increment value, so the next increment would be +11). We can consider this a linear first difference.

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For any of these functions, I'm restricting x to be an integer and x = 1 is the smallest input possible.

Answer:

x = 0  ;  x = 1

Step-by-step explanation:

\(\sqrt{x^{12}} =x\)

\(\Longleftrightarrow \sqrt{x^{6\times 2}} =x\)

\(\Longleftrightarrow \sqrt{\left( x^{6}\right)^{2} } =x\)

\(\Longleftrightarrow |x^{6}|=x\)

\(\Longleftrightarrow x^{6}=x\ \ \ ;\ |x^{6}|=x^{6}\)

\(\Longleftrightarrow x^{6}-x=0\)

\(\Longleftrightarrow x(x^{5}-1)=0\)

\(\Longleftrightarrow x=0 \ \ or\ \ (x^{5}-1)=0\)

\(\Longleftrightarrow x=0\ \ or\ \ x^{5}=1\)

\(\Longleftrightarrow x=0\ \ or\ \ x=1\)

Answer:

(8 × 10 ^-3) (3.5× 10 ^2)

= 2.8 meters

Answer:

r = -6

Step-by-step explanation:

Use the slope formula and solve for r.

slope = y2 -y1

            x2 -x1

Since you know all the numbers except for r, plug everything in and you get:

5  = 9 - r

        9 - 6

So then do the arithmetic, you find that 9 - r = 15. So r must = -6.

Answer:

78

Step-by-step explanation:

42+36=78

Answer:

78

Step-by-step explanation:

42 + 36 = 78

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Malcolm must consume more than 20 grams of carbohydrates but fewer than 50 grams of carbohydrates because x > 20 and x 50.

Isolate the variable and place all other constants on the other side of the inequality to solve it. This can be done by manipulating the inequality by doing opposing procedures.

To begin, multiply each side by two to first isolate the x. You must always consider the other side while doing something to one.

Explanation:

The following inequalities

Fill up each inequality.

The inequality is reduced by 10 on each side (1).

Subtract 2 from both sides.

X is greater than twenty.

The inequality is reduced by 10 on each side (2).

Subtract 2 from both sides.

X is not greater than 50 in value.

Malcolm must consume more than 20 grams of carbohydrates but fewer than 50 grams of carbohydrates because x > 20 and x 50.

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An arithmetic sequence is a sequence of numbers where the difference between any two consecutive terms is always the same. In this case, the common difference is 3, so every term is 3 more than the previous term.

The \($n^{th}$\) term in the arithmetic sequence can be found using

\($a_n = a_1 + (n - 1)d$\)

where $a_1$ is the first term (2 in this case), $d$ is the common difference (3 in this case), and $n$ is the term number.

To find the page number that $11{,}111$ appears on, we need to find the term number that corresponds to this value:

\($11{,}111 = 2 + (n - 1) \cdot 3$\)

Solving for $n$, we have:

$11{,}109 = 3n - 1$

$3n = 11{,}110$

$n = 37{,}037$

Since each page contains 100 numbers, the number 11,111 appears on page $\left\lceil \frac{37{,}037}{100} \right\rceil = 371$.

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There are 36 four-digit positive integers that contain exactly one 0.

A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.

Since each four-digit positive integer has four digits, there are four possible places where the 0 can be placed.

For each of these four possibilities, there are 9 other digits that can be placed in the remaining three spots (since we cannot use 0 again),

So, there are a total of 4 × 9 = 36.

Thus, there are 36 four-digit positive integers that contain exactly one 0.

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The efficiency of the Zumba class system is approximately 69.2%, and its utilization is approximately 54.5%.

To calculate the efficiency of the system, we can divide the actual output (number of employees trained) by the designed capacity (maximum number of employees that can be trained per month) and multiply by 100 to get a percentage.

Efficiency = (Actual Output / Designed Capacity) * 100

Efficiency = (600 / 850) * 100 = 70.6%

Therefore, the efficiency of the system is approximately 70.6%.

To calculate the utilization of the system, we can divide the actual output (number of employees trained) by the capacity (maximum number of students per month) and multiply by 100.

Utilization = (Actual Output / Capacity) * 100

Utilization = (600 / 1100) * 100 = 54.5%

Therefore, the utilization of the system is approximately 54.5%.

The Zumba class system at the local gym has an efficiency of approximately 69.2% and a utilization rate of approximately 54.5%. The efficiency indicates how well the system is performing relative to its designed capacity, and in this case, it suggests that the system is operating at a reasonably high level. The utilization rate, on the other hand, indicates how much of the available capacity is being utilized, and in this case, it suggests that the system is operating at around half of its maximum capacity. This information can be used by the gym to evaluate the performance of their Zumba class program and make informed decisions regarding resource allocation and potential improvements.

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Answer:

no

Step-by-step explanation:

Proportional must go through (0,0)

0 = 2(0) +7

0 = 7

This is not true so this is not proportional

Answer:

I can't see the picture. Sorry

Step-by-step explanation:

Answer:

Assuming you want to simplify it:

8h-6f is your answer

Step-by-step explanation:

Answer:

The assumption we would make to start an indirect proof of the statement "If two lines are cut by a transversal and a pair of alternate interior angles are congruent, then the two lines are parallel" is that the two lines are not parallel.

Answer:

The answer is c.

a. no b. no c. yes

i hope that helped

Step-by-step explanation:

Personal experience generates firsthand knowledge that is derived from an individual's direct involvement or observation of a particular event, situation, or phenomenon. This type of sample is unique to each person and provides a subjective understanding of the subject matter.

Personal experience is an essential source of learning and understanding as it allows individuals to gain insight, develop skills, and form opinions based on their own encounters. It can provide a deep understanding of emotions, perspectives, and nuances that cannot be fully grasped through secondhand information. Personal experiences are often considered valuable as they offer authenticity and a sense of relatability, enabling individuals to connect with others on a personal level. Additionally, personal experiences can serve as a foundation for personal growth and development, shaping one's beliefs, values, and decision-making processes.

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a) The number of ways to draw five face cards from a standard deck of 52 cards is C(16, 5), where C(n, k) is the number of combinations of n things taken k at a time. The probability of drawing five face cards is therefore:

C(16, 5) / C(52, 5) = 4165 / 2598960

b) A full house consists of three of one rank and two of another. There are 12 face cards in each rank, so there are C(12, 3) ways to choose the three of one rank, and C(12, 2) ways to choose the two of another rank. The total number of full house hands consisting of face cards is therefore:

C(12, 3) * C(12, 2) = 220

The probability of drawing a full house with all face cards is:

220 / C(52, 5) = 220 / 2598960

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Explanation of vector addition, subtraction, and scalar multiplication is shown below.

We have to given that;

To explain vector addition, subtraction, and scalar multiplication.

Now, We know that;

Vector Addition:

To add two vectors in component form, add the first components together and the second components together.

Example,

⇒ ⟨a, b⟩+⟨c, d⟩=⟨a + c, b + d⟩

Vector subtraction;

The subtraction of vectors is the same as adding the reverse or inverse of one vector to another vector. T

Scalar Multiplication:

To multiply a vector in component form by a scalar, multiply each component by the scalar.

Example,

⇒ c⟨a , b⟩ = ⟨ca, cb⟩

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When simplified, the value of the expression \($\sqrt{3} \times 3^{\frac{1}{2}} 12 \div 3 \times 2 - 4^{\frac{3}{2}}$\) is 64.

Given expression is \($\sqrt{3} \times 3^{\frac{1}{2}} 12 \div 3 \times 2 - 4^{\frac{3}{2}}$\)

Simplify the exponents:

\($\sqrt{3} \times \sqrt{3} \times 12 \div 3 \times 2 - (4^{\frac{1}{2}})^3$\)

Simplify the square roots:

\($3 \times 3 \times 12 \div 3 \times 2 - 2^3$\)

Multiply and divide from left to right:

\($9 \times 12 \div 3 \times 2 - 8$\)

Perform multiplication and division:

\($108 \div 3 \times 2 - 8$\)

Evaluate the division:

\($36 \times 2 - 8$\)

72 - 8

64

Therefore, when simplified, the value of the expression is 64.

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Answer:

50; 25; 105

Step-by-step explanation:

Sum of the angles of triange is 180, so we have 2x + x + 2*2x + 5 = 180 (x is number of degrees of second angle), if I understood word 'twice' correctly.

Next, let me solve this:

2x + x + 4x + 5 = 180

7x + 5 = 180

7x = 175

x = 25

So, second angle is 25 degrees, first is 25*2=50 degrees and third is 50*2+5=105 degrees.

Hope that this was helpful.

Answer:

4.5 meters = 450 cm

450 / 25 cm = 18cm

This means every centimeter on the plan equals 18 centimeters in actuality.

Step-by-step explanation:

Answer: x = 4.

Step-by-step explanation:

Taking the logarithm of both sides with base 3, we get:

x = log3(81)

x = log3(3^4)  [Since 81 is equal to 3 raised to 4th power]

x = 4

Therefore, the solution is x = 4.

Answer:

Step-by-step explanatiON

X=81/3

X=4

Answer:

25 = 141 + 159/2

Step-by-step explanation:

The solution to each total amount is as follows

1a.   3 packs of tulips and  2 packs of daffodils.  1b. 18  tulips and 18 daffodils.

2a.  The tax  $1.60    2b. The total cost $22.85.

3. total cost with discount and tax is  $19.89.  3b. Amount saved is $2.95.

4. 2 tulips.   4b. 9 daffodils    4c.  6 tulips.  4d. 12 tulips  and 9 daffodils.

5. 8 flowers before having to refill the pail.

6.  you need to purchase 6 tulips and 9 daffodils.

7. you should aim to have 79 plants next year.

1. least common multiple of 6 and 9 is 3. 6/3 = 2 and 9/3 = 3.

Cross multiply ⇒ 9 x 2 = 18  and 6 x 3 = 18

2. The cost of tulip and daffodil packs are

3×$4.75 = $14.25

2×$3.50 = $7.

The total cost before tax⇒ $14.25 + $7 = $21.25.

The tax⇒ $21.25 × 7.5/100 = $1.60 (rounded to the nearest cent).

The total cost including tax is $21.25 + $1.59 = $22.85.

3. Before tax ⇒ $21.25.

After applying a $2.75 discount, ⇒ $21.25 - $2.75 = $18.50.

The tax on this discounted amount is $18.50 × 7.5/100 = $1.39  

Total cost with discount and tax is $18.50 + $1.39 = $19.89. (rounded to the nearest penny).

The total amount saved $22.85 - $19.89 = $2.95

4. ratio of tulips to daffodils is 4:6. simplify ⇒  2:3.  for every 3 daffodils, 2 tulips

The total number of daffodils 6 + 3 = 9

The total number of tulips 4 + 2 = 6

18 - 6 = 12 tulips and 18 - 9 = 9 daffodils are left for the remaining flowerbed

5. A 3-quart⇒ 12 cups ⇒ 1 quart = 4 cups.

∴ 12/1.5 = 8 flowers before refill.

6. 1/3 of the tulips died, ⇒ 1/3 ×18 = 6 tulips.

1/2 of the daffodils died, ⇒1/2 × 18 = 9 daffodils.

7.  18 tulips and 18 daffodils for a total of 36 plants.

36×2 = 72 + 7 = 79

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STEP - BY - STEP EXPLANATION

What to find?

The z- score of 72

Given:

mean (μ) = 65

standard deviation (σ) = 13

x = 72

Step 1

Recall the z- score formula.

Step 2

Substitute the values into the formula and simplify.

ANSWER

0.54

Answer:

+ 36

Step-by-step explanation:

assuming you require to make the terms into a perfect square.

using the method of completing the square

add ( half the coefficient of the y- term )² to y² - 12y

y² + 2(- 6)y + (- 6)²

= y² - 12y + 36

= (y - 6)² ← a perfect square

Answer:

The required table is:

Input                   Output

-1                           3

0                           5

1/2                         6

3                            11

Step-by-step explanation:

The function defined that the output of the function can be determined by multiplying the input by 2 and adding 5.

i.e.

if input = x, then output = 2x+5

We are given

Inputs:  

-1, 0,  1/2 and 3

Thus,

When input x = -1, then output = 2(-1) + 5 = -2+5 = 3

When input x = 0, then output = 2(0) + 5 = 0 + 5 = 5

When input x = 1/2, then output = 2(1/2) + 5 = 1 + 5 = 6

When input x = 3, then output = 2(3) + 5 = 6 + 5 = 11

Therefore, the required table is:

Input                   Output

-1                           3

0                           5

1/2                         6

3                            11