Cheter hope to earn $1200 in interet in 3. 5 year time from $60,000 that he ha available to invet. To decide if it' feaible to do thi by inveting in an account that compound quarterly, he need to determine the annual interet rate uch an account would have to offer for him to meet hi goal. What would the annual rate of interet have to be? Round to two decimal place

Answer:

\(\huge\boxed{\sf x = 20}\)

Step-by-step explanation:

=> Since it is an equilateral (Having all angles and all sides equal)  triangle, so every angles will be equal to the other.

=> The sum of the measures of interior angles of triangle add up to 180 degrees.

So,

3x + 3x + 3x = 180

9x = 180

Divide both sides by 9

x = 20

\(\rule[225]{225}{2}\)

Hope this helped!

Evaluating this vector at (1, 1, 1), we get:(-i - j - k) / (3^(3/2))

(a) To find curl r^A(-yi + xj), we use the formula:

curl F = (1/r) ∂/∂θ (rF₃) - ∂/∂r (rF₂)

where F = r^A(-yi + xj) and r = (x^2 + y^2)^1/2. We have F₃ = 0 because F has no z-component, so we only need to compute F₂ and F₁. We have:

F₂ = r^A(-y) and F₁ = r^A(x)

Taking partial derivatives, we get:

∂F₂/∂r = Ar^(A-1)(-y)

∂F₂/∂θ = 0

∂F₁/∂r = Ar^(A-1)(x)

∂F₁/∂θ = 0

Plugging these into the formula for curl F, we get:

curl F = (1/r) ∂/∂θ (rF₃) - ∂/∂r (rF₂)

= (1/r) ∂/∂r (rF₂) - ∂/∂r (rF₂)

= (Ar^(A-1)(x) + Ar^(A-1)(y)) k

= Ar^(A-1)(xi + yj + zk)

So we have curl F = α r^A k, where α = A and k is the unit vector in the z-direction.

(b) To find the direction of the curl for A = -5 and A = 2, we simply need to normalize the vector Ar^(A-1)(xi + yj + zk) obtained in part (a). We have:

For A = -5: curl F = -5r^(-6)(xi + yj + zk)

= -(x/r^3)i - (y/r^3)j - (z/r^3)k

Normalizing this vector, we get:

direction = (-x/r^3)i - (y/r^3)j - (z/r^3)k / |(-x/r^3)i - (y/r^3)j - (z/r^3)k|

= (-x/r^3)i - (y/r^3)j - (z/r^3)k

For A = 2: curl F = 2r^(1)(xi + yj + zk)

= 2(xi + yj + zk)

Normalizing this vector, we get:

direction = (2xi + 2yj + 2zk) / |2xi + 2yj + 2zk|

= (1/sqrt(3))i + (1/sqrt(3))j + (1/sqrt(3))k

(c) To determine the sign of the circulation around a small circle oriented counterclockwise when viewed from above and centered at (1, 1, 1), we can use the right-hand rule.

If we curl our fingers in the direction of the circle and our thumb points in the direction of the curl of the vector field, then the sign of the circulation is positive if our palm points upwards and negative if our palm points downwards.

For A = -5, the direction of the curl is (-x/r^3)i - (y/r^3)j - (z/r^3)k. Evaluating this vector at (1, 1, 1), we get:

(-i - j - k) / (3^(3/2))

Learn more about vector calculus

brainly.com/question/10164701

#SPJ11

Answer:

area is when you times both lengths so 10.5 times 3.7 is 38.85 km sqaured :))

Step-by-step explanation:

By using the concept of probability, it can be calculated that

a) State space S(x) = {-1, 0, 1, 2}

b) The required probability mass function is

    P(X = -1) = \(\frac{125}{216}\)

    P(X = 0)  \(= \frac{25}{72}\)

    P(X = 1)  \(= \frac{5}{72}\)

    P(X = 2)  \(= \frac{1}{216}\)

c) Expected value of X  = -0.5

d) the stake of the gambler in  order to make this a fair game is $0.5

What is probability?

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probality of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

a) Let a number n be chosen between 1 and 6

Three fair six sided dice are thrown

The following cases can occur

1) Number n occur on none of the three dice

2) Number n occur on one dice

3) Number n occur on two dice

4) Number n occur on three dice

Let X denote your net win after one round of gambling (i.e., the payment received from the casino minus your stake)

1) X = 0  -1 = -1

2) X = 1 - 1 = 0

3) X = 2 - 1 = 1

4) X = 3 - 1 = 2

State space S(x) = {-1, 0, 1, 2}

b) P(X = -1) = \({3 \choose 0}(\frac{1}{6})^0(\frac{5}{6})^3 = (\frac{5}{6})^3 = \frac{125}{216}\)

    P(X = 0) = \({3 \choose 1})(\frac{1}{6})(\frac{5}{6})^2 = \frac{25}{72}\)

    P(X = 1) = \({3 \choose 2}(\frac{1}{6})^2\frac{5}{6} = \frac{5}{72}\)

    P(X = 2) = \({3 \choose 3}(\frac{1}{6})^3(\frac{5}{6})^0 = \frac{1}{216}\)

    The required probability mass function is

    P(X = -1) = \(\frac{125}{216}\)

    P(X = 0)  \(= \frac{25}{72}\)

    P(X = 1)  \(= \frac{5}{72}\)

    P(X = 2)  \(= \frac{1}{216}\)

c) Expected value of X = \(-1 \times \frac{125}{216} + 0 \times \frac{25}{72} + 1 \times \frac{5}{72} + 2\times \frac{1}{216}\)

                                      = \(\frac{-125 + 0 + 15 +2}{216}\\\)

                                      = \(-\frac{108}{125}\)

                                      = -0.5

d) The gambler looses $0.5 on a average

   So this is not a fair game

   Let the stake of the gambler in  order to make this a fair game be t

   By the problem,

   -0.5 + t = 0

     t = 0 + 0.5

     t = $0.5

To learn more about probability, refer to the link-

https://brainly.com/question/24756209

#SPJ4

Answer:

70

Step-by-step explanation:

8x8=64

64+6=70

Answer:

4 times larger

Step-by-step explanation:

3² = 9

(3+3)² = 36

36 is four times larger than 9

a) y = 2x - 3 :NOT proportional

b) y = 150x : proportional.

c) y = 1/2x :NOT proportional

For the given cases-

a) y = 2x - 3

Y is obtained by subtracting the value 3 from the result.

For, x = 1, y = -1; y/x = -1

x = 2, y = 1; y/x = 1/2

Thus, fraction y/x is not same in each.

NOT proportional

b) y = 150x

For, x = 1, y = 150; y/x = 150

x = 2, y = 300; y/x = 1/150

Thus, fraction y/x is same in each.

Proportional

c) y = 1/2x

For, x = 1, y = 1/2; y/x = 1/2

x = 2, y = 2; y/x = 1

Thus, fraction y/x is not same in each.

Proportional

NOT proportional

To know more about the proportional, here

https://brainly.com/question/870035

#SPJ4

Answer:

rod bins

Step-by-step explanation:

because you dealing with rods and you need aplace to put them that is the b bins

Answer:

rod bins

Step-by-step explanation:

Answer: Aquarius ♒️ UwU

Step-by-step explanation:My Birthday is 2/11/09

Answer:

Sep 11 YEAH IM KINDA CURSED

Answer:

ASA

Step-by-step explanation:

Angles K and N are congruent to each other, the sides with the ticks are congruent, and the angles H are congruent

An inequality that can be written in the form ax + by < c (where a and b are not both zero) is called a linear inequality in two variables.

An inequality that represents a line in a two-dimensional coordinate system is referred to as a linear inequality. The set of points that satisfies the inequality is a half-plane bounded by a line that may be dashed or solid.

In contrast to a linear equation, which represents a line, a linear inequality represents a half-plane. The points on one side of the line, rather than the points on the line, are solutions to the inequality.

The method of shading is used to graph a linear inequality in two variables. First, graph the boundary line, which is usually represented by a solid or dashed line, and then select a test point on one side of the line. Shaded regions of the half-plane containing the test point satisfy the inequality.

Learn more about linear inequality here: https://brainly.com/question/30440630

#SPJ11

Answer:

A

Step-by-step explanation:

using the rule of radicals

\(\sqrt{ab}\) = \(\sqrt{a}\) × \(\sqrt{b}\)

note that 0.231 × 100 = 23.1

given

\(\sqrt{23.1}\)

= \(\sqrt{100(0.231)}\)

= \(\sqrt{100}\) × \(\sqrt{0.231}\)

= 10 × k

= 10k

The value of √23.1 using the value √0.231 = k is 10k.

Thus, option (A) is correct.

Let's first find the value of "k" when √0.231 = k:

√0.231 = k

Now, the value of √23.1 using the value of "k":

√23.1 = √(10 × 2.31)

As √2.31 = k, substitute it in:

√23.1 = √(10 × 2.31)

         = √10 × √2.31

         = 3.162 × √2.31

Also, √2.31 = 1.52

So, the required value

√23.1 = 3.162 × 1.52

          = 4.807

let's check the given options to find the closest value to 4.807:

A. 10k = 10 × √0.231 = 4.807.

B. 0.1k = 0.1 × √0.231  = 0.04806

C. 100k = 100 × √0.231 = 48.06  

D. 20k = 20 × √0.231 = 9.6124

Therefore, The value of √23.1 is 10k.

Thus, option (A) is correct.

Learn more about Radical here:

https://brainly.com/question/151386

#SPJ4

The probability that more than a fifth (i.e. 6 or more) of the 10 buyers would prefer green is 0.3981.

To conduct a study of the color preferences of new car buyers, a researcher wishes to conduct a research. Suppose that 30% of the population prefers green. If ten buyers are selected at random, what is the probability that more than a fifth of the buyers will prefer green?

The random variable X represents the number of buyers who prefer green. When n = 10 and p = 0.3, this is a binomial probability experiment. P(X > 2) is the probability that more than a fifth of the buyers would prefer green.P(X > 2) = 1 - P(X ≤ 2)P(X > 2) = 1 - [P(X = 0) + P(X = 1) + P(X = 2)]P(X > 2) = 1 - [C(10,0) (0.3)^0 (0.7)^10 + C(10,1) (0.3)^1 (0.7)^9 + C(10,2) (0.3)^2 (0.7)^8]P(X > 2) = 1 - [1(0.7)^10 + 10(0.3)(0.7)^9 + 45(0.3)^2 (0.7)^8]P(X > 2) = 0.2743

Therefore, the probability that more than a fifth of the buyers would prefer green is 0.2743, rounded to four decimal places.

You can read more about probability at https://brainly.com/question/24756209

#SPJ11

D (-1,9) i did it in calcukator

Answer:

My answers:

1. p = 0.20 × 100 × k

4. y = 1.25x + 3; $8.00

Step-by-step explanation:

your welcome

Answer:

A and C are correct

Step-by-step explanation:

Making the decimal value greater than 4.3 or 4.30 will make the statement correct

Answer:

A

Step-by-step explanation:

incomplete statement

4.3 < 4 ← obviously not true

to make the statement true requires the value in the tenths place to be greater than 3 , for example

4.3 < 4.4 ← is a true statement

a) Issuance of the note:

Debit Cash $285,000

Credit Notes Payable $285,000

b) Adjusting entry:

Debit Interest Expense $1,900

Credit Interest Payable $1,900

c) Repayment of the note:

Debit Notes Payable $285,000

Debit Interest Payable $1,900

Credit Cash $286,900

a) The issuance of the note:

On October 1, Bonnie's Painting Service would record the following journal entry to reflect the borrowing of $285,000 from Nationwide Bank:

Debit: Cash $285,000

Credit: Notes Payable $285,000

This entry increases the Cash account by $285,000 (representing the funds received) and creates a liability in the form of Notes Payable for the same amount.

b) Adjusting entry:

Assuming the interest expense is accrued at the end of each month, an adjusting entry would be made on November 30 to record the interest expense for two months (October and November). Assuming a 4% annual interest rate, the interest expense would be calculated as follows:

Interest Expense = Principal Amount x Annual Interest Rate x (Number of Months / 12)

Interest Expense = $285,000 x 4% x (2/12) = $1,900

The adjusting entry would be:

Debit: Interest Expense $1,900

Credit: Interest Payable $1,900

This entry recognizes the interest expense for the two-month period and creates a liability in the form of Interest Payable.

c) Repayment of the note:

On February 1 (4 months after borrowing), when Bonnie's Painting Service repays the note in full, the following journal entry would be recorded:

Debit: Notes Payable $285,000

Debit: Interest Payable $1,900

Debit: Interest Expense (for the remaining month, if applicable)

Credit: Cash $286,900

This entry reduces both the Notes Payable and Interest Payable accounts by their respective balances, and the remaining cash amount represents the repayment of the note along with any remaining interest expense. The interest expense for the final month would be recorded if the repayment occurs after November 30.

Learn more about Adjusting entry here:

https://brainly.com/question/28902824

#SPJ11

Answer:

It will land in quadrant 1 (quadrant 1)

Step-by-step explanation:

1. One mean 2. One proportion 3. Proportions from dependent samples 4. Two independent means 5. Means from dependent samples 6. Proportions from dependent samples

1. You want to estimate the typical salary for women working in the nursing field.
  Answer: One mean
2. You want to estimate the proportion of nurses that quit after working for only one year.
  Answer: One proportion
3. You want to estimate the difference in the number of men and women that quit the nursing field after only one year.
  Answer: Two independent means
4. You want to estimate the difference in the salaries of men and women working in the nursing field.
  Answer: Two independent means
5. The same one hundred people were asked in 2000 and in 2006 how much they had spent on medical bills. Has there been an increase in medical cost?
  Answer: Means from dependent samples
6. The same one hundred people were asked in the year 2000 and again in the year 2006 if they trusted their local hospitals. Has there been a change in people's trust?
  Answer: Proportions from dependent samples

Learn more about mean here : https://brainly.com/question/31101410

#SPJ11

Answer:

0.01%

Step-by-step explanation:

y=a (0.5)^t/5730

y=a [(0.5)^t/5730]

when you put 0.5^1/5730

it'll give you 0.99

The "equation" is y=a(1-r)^t

so 1-0.99 is 0.01

The percent of carbon-14 released each year will be 50.

Consider the function:

y = a (1 ± r) ˣ

Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is a plus sign, then there is exponential growth happening by r fraction or 100r %.

If there is a minus sign, then there is exponential decay happening by r fraction or 100r %.

The equation is given below.

\(\rm y= a \left ( 0.5 \right )^{t/5730}\)

Where 'a' is the initial amount (in grams) and 't' represents the number of years.

The equation is also written as,

\(\rm y= a \left ( 0.5 \right )^{t/5730}\\\\\rm y= a \left ( 1 - 0.5 \right )^{t/5730}\)

The percent of carbon-14 released each year will be 50.

More about the exponent link is given below.

https://brainly.com/question/5497425

#SPJ2

For exercise 1, the derivative of F(x) = 2x^3 - 3x^2 + 3/x^2 is f'(x) = 6x^2 - 6x + 6/x^3, obtained by applying the power rule. For exercise 2, the derivative of F(x) = (x^2 + 2x)(3x^2 - 4) is f'(x) = 12x^3 - 8x + 18x^2 - 8, obtained by expanding and differentiating each term separately using the power rule.

Exercise 1:

Given: F(x) = 2x^3 - 3x^2 + 3/x^2

To find the derivative f'(x), we first rewrite F(x) as a polynomial:

F(x) = 2x^3 - 3x^2 + 3x^(-2)

Applying the power rule to find f'(x), we differentiate each term separately:

For the first term, 2x^3, we apply the power rule:

f'(x) = 3 * 2x^(3-1) = 6x^2

For the second term, -3x^2, the power rule gives:

f'(x) = -2 * 3x^(2-1) = -6x

For the third term, 3x^(-2), we use the power rule and the chain rule:

f'(x) = -2 * 3x^(-2-1) * (-1/x^2) = 6/x^3

Combining these derivatives, we get the overall derivative:

f'(x) = 6x^2 - 6x + 6/x^3

Exercise 2:

Given: F(x) = (x^2 + 2x)(3x^2 - 4)

To find the derivative f'(x), we expand the expression first:

F(x) = 3x^4 - 4x^2 + 6x^3 - 8x

Applying the power rule to find f'(x), we differentiate each term separately:

For the first term, 3x^4, we apply the power rule:

f'(x) = 4 * 3x^(4-1) = 12x^3

For the second term, -4x^2, the power rule gives:

f'(x) = -2 * 4x^(2-1) = -8x

For the third term, 6x^3, we apply the power rule:

f'(x) = 3 * 6x^(3-1) = 18x^2

For the fourth term, -8x, the power rule gives:

f'(x) = -1 * 8x^(1-1) = -8

Combining these derivatives, we get the overall derivative:

f'(x) = 12x^3 - 8x + 18x^2 - 8

To know more about derivative ,

https://brainly.com/question/19481279

#SPJ11

Answer:

3 books or 3 and 1/5th

Step-by-step explanation:

The closest number downside divisible by 5 would be 15 or 20.

Divide 19 by 5 or divide 15 by 5.

-kiniwih426

Answer:

12

Step-by-step explanation:

192/16=12

Yes, it is possible to have a c2 strictly convex function on a compact domain that is not also strongly convex.

Let's have a look at the following details of it.

A strictly convex function is a function whose Hessian matrix is positive-definite for all arguments. As a result, if f is differentiable and convex, it is strictly convex if and only if its Hessian matrix is positive-definite for all arguments.

The Definition of Strong Convexity: A function is said to be strongly convex if it meets the following criteria:
Let C be a convex subset of a Hilbert space H, and let f:C→ℝ be a continuously differentiable function. There is a positive constant μ such that, for all x,y∈C: f(y)≥f(x)+⟨∇f(x),y−x⟩+μ/2‖y−x‖2

Thus, it is clear from the above-mentioned definitions that it is possible to have a c2 strictly convex function on a compact domain that is not also strongly convex.

To know more about convex function refer here:

https://brainly.com/question/29656636

#SPJ11

Answer:

(5,6)

Step-by-step explanation:

10-5=5

The probability of a contestant winning the grand prize after making eight selections is approximately 0.000181.

The probability of finding one prize in one selection is 5/30, as there are five prizes and 30 containers in total. After one prize has been found, there will be 4 prizes and 29 containers left, so the probability of finding another prize in the second selection is 4/29.

Similarly, the probability of finding a third prize in the third selection is 3/28, and so on. To find the probability of winning the grand prize, we need to multiply these probabilities together:

= \(\left(\frac{5}{30}\right)\left(\frac{4}{29}\right)\left(\frac{3}{28}\right)\left(\frac{2}{27}\right)\left(\frac{1}{26}\right)\)

= 0.000181

Therefore, the probability of a contestant winning the grand prize after making eight selections is approximately 0.000181, or 0.0181%. This is a very low probability, as the contestant only has a 1 in 5517 chance of winning the grand prize.

Learn more about probability: https://brainly.com/question/24756209

#SPJ11

Answer:

The best estimate for her earnings is $1200

Step-by-step explanation:

Number of time spent babysitting each week = 21 hours = BBS

Number of time spent dog walking each week = 9 hours = DW

She earns $7.50 per hour for dog walking,

She earns $(7.50+1.50) = $9 for baby sitting,

There are 4 1/2 weeks = 9/2 weeks in July,

Now, for each week she earns 21(9) = $189 from baby sitting

and 9(7.5) = $67.5 from dog walking,

So, for the month of July, i.e. 9/2 weeks, she earns,

9/2(189) = $ 850.5 from baby sitting,

and (9/2)(67.5) = $303.75 from dog walking,

In total for the month, she earns,

850.5 + 303.75 = $1154.25

Hence the best estimate for her earnings is $1200

The correct answer is  you will get approximately £1.30 for one Australian dollar.

To find out how many British pounds you will get for one Australian dollar, we need to determine the exchange rate between the British pound and the Australian dollar.

Given that £1 = US$1.11316 and A$1 = US$0.8558, we can calculate the exchange rate between the British pound and the Australian dollar as follows:

£1 / (US$1.11316) = A$1 / (US$0.8558)

To find the value of £1 in Australian dollars, we can rearrange the equation:

£1 = (A$1 / (US$0.8558)) * (US$1.11316)

Calculating this expression, we get:

£1 ≈ (1 / 0.8558) * 1.11316 ≈ 1.2992

Therefore, you will get approximately £1.30 for one Australian dollar.

Learn more about statistics here:

https://brainly.com/question/30915447

#SPJ11

Person A would save the most money because they had a coupon that was worth more than their portion of the purchase price.

To determine who would save the most money if each person paid an equal amount, we need to calculate how much each person paid and then compare the amounts saved by each person. For instance, let's consider an example with four people who want to split the cost of a $60 purchase equally. Each person would pay $60 / 4 = $15.

If person A has a $20 coupon, then they would save $20, and their net cost would be $15 - $20 = -$5. Person B has a $15 coupon, so they would save $15, and their net cost would be $15 - $15 = $0. Person C has a $10 coupon, so they would save $10, and their net cost would be $15 - $10 = $5. Person D has a $5 coupon, so they would save $5, and their net cost would be $15 - $5 = $10.

You can learn more about coupons at: brainly.com/question/31727353

#SPJ11