Caroline is going to invest $5,500 and leave it in an account for 10 years. Assuming
the interest is compounded continuously, what interest rate, to the nearest tenth of a
percent, would be required in order for Caroline to end up with $10,100?

The hash of the given message is 135.

In computing, a message digest is a fixed-sized string of bytes that represents the original data's cryptographic hash. This hash is used to authenticate a message, guaranteeing the integrity of the data in the message.

Here, it is given the message m = 23  

The formula to calculate hash is him) - (m*7;2 MOD 7793.

So, let's calculate the hash : him) - (m*7;2 MOD 7793(him) - (23*7;2 MOD 7793

⇒ (8*23) - (49 MOD 7793)

⇒ 184 - 49= 135.

So, the hash of the given message is 135.

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The answer to your question is 1

Answer:

3/5

Step-by-step explanation:

m = y2-y1 / x2 - x1

6-3 / 3 - -2 = 3/5

Answer:

m= \(\frac{3}{5}\)

hope this helps!

Step-by-step explanation:

Answer:0

Step-by-step explanation:anything divided or multiplied by zero is zero for example how many times does 6 go into 0? ....zero!

Answer:

Let ac=ab=5

With this, bc= 5√2

Step-by-step explanation:

So to find ad, Let ad be x

5√2=(2)(x)

(5√2/2)= x

This proves that bc=2ad

1) The area of the given triangle is: 110.24 sq.units

2) The area of the triangle is: A = √[s(s - a)(s - b)(s - c)] where s = (a + b + c)/2.

The formula for the area of a triangle is:

Area = ¹/₂ * base * height

1) The sum of angles in a triangle is 180 degrees. Thus:

∠C = 180 - (68 + 36)

∠C = 76°

Using sine rule, we have:

AB/sin 76 = 12/sin 36

AB = (12 * sin 76)/sin 36

AB = 19.81

Using trigonometric ratios, the height is:

h/12 = sin 68

h = 12 * 0.9272

h = 11.13

Thus:

Area = ¹/₂ * 19.81 * 11.13

Area = 110.24 sq.units

2) The area of this triangle is:

A = √[s(s - a)(s - b)(s - c)]

where:

s is the semi-perimeter of the triangle given by:

s = (a + b + c)/2.

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The Z score for a bag weighing 1.08 kg is approximately equal to 0.2051.

Given, mean of the distribution, µ = 1 kg

Standard deviation of the distribution, σ = 0.39 kg

Weight of the bag, X = 1.08 kg

The Z score formula is,

Z = (X - µ) / σ

Substitute the values in the above formula to get,

Z score = (1.08 - 1) / 0.39

Z score = 0.08 / 0.39

Z score = 0.2051 (approx)

Therefore, the Z score for a bag weighing 1.08 kg is approximately equal to 0.2051.

Z score is the number of standard deviations from the mean and is calculated using the above formula.

A Z score indicates how far from the mean a data point is in terms of standard deviations.

For example, a Z score of 2 means the data point is two standard deviations above the mean.

In this case, the bag weighing 1.08 kg is 0.2051 standard deviations above the mean weight of the bags of sugar.

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Answer: B. The procedure for constructing the confidence interval is robust. The larger the sample​ size, the more resistant the mean.​ Therefore, the confidence interval is more robust.

Step-by-step explanation:

Large sized data samples usually have more stability than data with small samples, they yield a mean value which edges closer to the value of the population data. This means that large size data samples will have a mean which is more resistant to change than samples with a lower sample size. The confidence interval gives robustness while constructing a model by giving te leverage for a range of values based in a certain level of confidence upon which a statistical vale can be tested for validity.

Answer:

$8

Step-by-step explanation:

25% is .25, also known as 1/4. So if you think of it that way, $2 is 1/4 of the entire payment that was added to it. 2*4 is 8, so the price of the tacos was $8 before any tip was added. Andrea paid $10 in total if you include the tip.

Belinda would have to pay $10,765.16  at the end of 18 months to clear the remaining balance.

To calculate the final payment, we need to consider the initial loan amount, the interest rate, and the time period. Belinda borrowed $18,500 at a simple interest rate of 4.40% per year.

She made two payments during the loan period. At the end of 3 months, she paid $5,200, and at the end of 6 months, she paid $3,200. These payments reduce the outstanding balance.

To calculate the remaining balance after the initial payments, we subtract the total amount paid from the initial loan amount:

Remaining Balance = Initial Loan Amount - Total Amount Paid

= $18,500 - ($5,200 + $3,200) = $10,100

Now, we need to calculate the interest accrued on the remaining balance for the remaining 12 months (18 months - 6 months). To calculate the interest, we use the formula: Interest = Principal * Rate * Time.

Interest = $10,100 * 0.044 * (12/12) = $443.44

Finally, we add the interest accrued to the remaining balance to find the final payment: Final Payment = Remaining Balance + Interest Accrued = $10,100 + $443.44 = $10,543.44

Therefore, Belinda would have to pay $10,543.44 at the end of 18 months to clear the balance. However, since we are using 'now' as the focal date, and 18 months have already passed, we need to account for the additional 6 months that have elapsed. Hence, the final payment becomes:

Final Payment = Remaining Balance + Interest Accrued for the additional 6 months = $10,100 + $443.44 + ($10,100 * 0.044 * (6/12)) = $10,765.16. Therefore, Belinda would have to pay $10,765.16 at the end of 18 months from 'now' to clear the balance.

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The complete question is:

Belinda borrowed $18,500 at simple interest rate of 4.40% p.a. from her parents to start a business. At the end of 3 months, she paid them $5,200 and $3,200 at the end of 6 months. How much would she have to pay them at the end of 18 months to clear the balance? Use 'now' as the focal date.

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\(\underset{ \textit{angle in degrees} }{\textit{area of a regular polygon}}\\\\ A=\cfrac{ns^2}{4}\cot\left( \frac{180}{n} \right) ~~ \begin{cases} n=\stackrel{sides'}{number}\\ s=\stackrel{side's}{length}\\[-0.5em] \hrulefill\\ n=9\\ s=4 \end{cases}\implies A=\cfrac{(9)(4)^2}{4}\cot\left( \frac{180}{9} \right) \\\\\\ A=36\cot(20^o)\implies A\approx 98.91~m^2\)

Make sure your calculator is in Degree mode.

Step-by-step explanation:

Area = 1/2 apothem × perimeter

Area = 1/2 apothem × perimeter A= 1/2 r cos(20) × N × S

Area = 1/2 apothem × perimeter A= 1/2 r cos(20) × N × S we need to find radius so

Area = 1/2 apothem × perimeter A= 1/2 r cos(20) × N × S we need to find radius so s = 2rsin(180/90)

Area = 1/2 apothem × perimeter A= 1/2 r cos(20) × N × S we need to find radius so s = 2rsin(180/90)4 = r ( 2 sin(20) )

Area = 1/2 apothem × perimeter A= 1/2 r cos(20) × N × S we need to find radius so s = 2rsin(180/90)4 = r ( 2 sin(20) )r = 4/ ( 2 sin(20)

Area = 1/2 apothem × perimeter A= 1/2 r cos(20) × N × S we need to find radius so s = 2rsin(180/90)4 = r ( 2 sin(20) )r = 4/ ( 2 sin(20)r = 5.847 approximate to 6

when we go back

A = 1/2( 6 × cos(180/n) )×9×4

A = 1/2( 6 × cos(180/n) )×9×4A = 1/2( 6 × cos(180/9) )×9×4

A = 1/2( 6 × cos(180/n) )×9×4A = 1/2( 6 × cos(180/9) )×9×4A = 101.486m2 app|ozximate to 102 m2

Answer:

The answer is G = -5

Step-by-step explanation:

your welcome :)

Answer:

\( \displaystyle \large{x(7 {x}^{2} + 4)}\)

Step-by-step explanation:

We are given the cubic expression:

\( \displaystyle \large{7 {x}^{3} + 4x}\)

In the expression, there exists same x-term but not like term.

Factor using LCF (Least Common Factor which is x)

\( \displaystyle \large{x(7 {x}^{2} + 4)}\)

From 7x^2+4, the expression is not factorable and thus:-

\( \displaystyle \large{x(7 {x}^{2} + 4)}\)

is the simplified form.

Answer:

x = 116

Explanation:

We can name the angles as follows:

So, taking into account the figure, the sum of angle A and the angle with measure 26 is equal to 90. Then, the value of angle A is:

A + 26 = 90

A + 26 - 26 = 90 - 26

A = 64

Then, angles A and B are part of an isosceles triangle. So, the measure of them is the same:

B = A

B = 64

Finally, the sum of angles B and x is 180 degrees because they form a straight line. So, the value of x is:

B + x = 180

64 + x = 180

64 + x - 64 = 180 - 64

x = 116

Therefore, the answer is x = 116

Answer:

$29555.20

Step-by-step explanation:

Given that:

P = $725

r = 8.25% = 0.0825

n = 12

t = 4 years

From the given formula:

\(A = \dfrac{P{(1+\dfrac{r}{n})^{n*t}-1 } }{\dfrac{r}{n}(1+ \dfrac{r}{n})^{nt}}}\)

\(A = \dfrac{725{(1+\dfrac{0.0825}{12})^{12*4}-1 } }{\dfrac{0.0825}{12}(1+ \dfrac{0.0825}{12})^{4\times 12}}}\)

\(A = \dfrac{725{(1.3894-1 )} } { 0.006875 \times 1.3894 }\)

A = $29555.20

If Scarlet Company received an invoice for $53,000.00 that had payment terms of 3/5 n/30 and made a partial payment of $16,800.00 during the discount period, the balance of the invoice is $34,610.

To calculate the balance of the invoice, follow these steps:

Therefore, the balance of the invoice is $34,610.

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As no explicit alternative hypothesis is supplied, we should use the two-tailed test, which includes both possibilities of the proportion being less or greater than 62%. As a result, the correct answer is (c) two-tailed test.

To determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed, let's consider the possible alternatives to the researcher's claim:

1. The proportion of voters favoring gun control is less than 62%.
2. The proportion of voters favoring gun control is more than 62%.
3. The proportion of voters favoring gun control is not equal to 62%.

If we were to test against alternative 1, it would be a right-tailed test.
If we were to test against alternative 2, it would be a left-tailed test.
If we were to test against alternative 3, it would be a two-tailed test.

Since we are not provided with any specific alternative hypothesis, it is most appropriate to choose the two-tailed test, as it covers both possibilities of the proportion being either less or more than 62%. Therefore, the answer is (c) two-tailed test.

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Answer: a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.

Step-by-step explanation: the y-intercept is where the line meets the y line which in this case is -3. I used slope formula to find the m of the equation ( slope ) take a look at the attached image to see how I solved it.

Answer:

a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.

Step-by-step explanation:

Using proportions, it is found that he would have to ride his bike 3 miles a day to meet his goal.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

He has already ridden the bike for 6 miles, and needs to run 21 - 6 = 15 miles in 5 days, hence the average is given by:

x = 15/5 = 3 miles a day.

He would have to ride his bike 3 miles a day to meet his goal.

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Answer:

a

Step-by-step explanation:

you have to multply

Answer:

A

Step-by-step explanation:

Answer:

expression is 20. +20...

Answer:

$799.92

Step-by-step explanation:

To find his pay, multiply the number of hours he worked by his pay per hour:

22.22(36)

= 799.92

So, his pay was $799.92

Answer:

Step-by-step explanation:

Explanation: A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.

Given the probabilities P(A|B)=0.6, P(B|A)=0.45, P(A)=0.44, and P(B)=0.33, we can estimate y(1) and y(-1) to be approximately 0.16. Additional information about the events A and B is required to obtain accurate estimates.

To solve this problem, we can use Bayes' theorem:

P(A|B) = P(B|A)P(A) / P(B)

To find P(B), we can use the law of total probability:

P(B) = P(B|A)P(A) + P(B|A')P(A')

where A' represents the complement of A (i.e., the event that A does not occur).

We can use the fact that P(A') = 1 - P(A) = 0.56 to find P(B|A'):

P(B|A') = P(B and A') / P(A') = (P(B) - P(B and A)) / P(A')

Substituting in the values we know, we get:

P(B|A') = (P(B) - P(B|A)P(A)) / P(A') = (P(B) - 0.45*0.44) / 0.56

Simplifying this expression, we get:

P(B|A') = (P(B) - 0.198) / 0.56

To solve for P(B), we can substitute all the known values into the equation for P(A|B) using Bayes' theorem:

0.6 = 0.45*0.44 / P(B)

Solving for P(B), we get:

P(B) = 0.45*0.44 / 0.6 = 0.33

Therefore, P(B) = 0.33. We can also use the law of total probability to find P(B|A):

P(B|A) = (P(B) - P(B|A')P(A')) / P(A) = (0.33 - 0.6*0.33) / 0.44 = 0.16

Using this information, we can estimate:

y(1) \approx 0.16

y(-1) \approx 0.16

Note that these estimates assume that we have additional information about the events A and B, as well as their relationship, which is not provided in the problem statement.

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Answer:

1.  D. (7, 0.5)

2. 0 and 1

Step-by-step explanation:

1. The question says to estimate the best solution for the two equations. They are looking for the point of intersection for the two lines. Choices B and C aren't on either line, and Choice A only lies on the first line, so it is not a solution to both equations. You can also check this:  Add the two equations such that 2y = 1;  y = 0.5, the coordinate for Option D.

2. This time, the question is only looking for values of x that satisfy the equation. You can look at the graph and see that the two functions intersect at (0,2). 0 is the x-coordinate for this point so it is one of the answers. The second intersection point lies on x = 1, we can't tell what the y-value is at that point, but it doesn't matter because the question is only looking for x-values.

You can check both of these numbers by substituting them into the equation where f(x) and g(x) are set equal to each other.

Check for 0

\(-\frac{3}{4} (0) +2 = \frac{1}{4}^0 +1\\0+2 = 1+1\\2=2\\\)            Note that any number raised to the 0 power is 1.

Check for 1

\(-\frac{3}{4}(1)+2 = \frac{1}{4}^1+1\\ \\-\frac{3}{4} +2 = \frac{1}{4} + 1\\ \\\frac{5}{4} = \frac{5}{4}\)

So the solutions to f(x) = g(x) are x = 0, 1.

Pythagoras's theorem - The two teachers are both seated at a distance of 15 meters from each other.

What is Pythagoras' theorem?

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic Euclidean geometry relationship between a right triangle's three sides. According to this rule, the area of the square with the hypotenuse (the side across from the right angle) is equal to the sum of the areas of the squares with the other two sides. The Pythagorean equation, which generally refers to the relationship between the lengths of the legs a, b, and the hypotenuse c, can be used to represent this theorem.

We are given,
the distance between Krysta and her math teacher to be 12 meters, and the distance between Krysta and her science teacher to be 9 meters

for simplicity, we'll let  
the distance between Krysta and her math teacher to be KM =12 meters
and the distance between krysta and her science teacher to be KS =9 meters we need to find the distance between the maths teacher and the science teacher, i.e. MS.

all three people's sitting arrangement makes a triangle, with them sitting on the vertex of it.

Using Pythagoras' theorem,

(KM)² + (KS)² = (MS)²

(12)² + (9)² = (MS)²

144 + 81 = (MS)²

225 = (MS)²

√225 = (MS)

thus, MS = 15 meters

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Answer:

A: $5.46

Step-by-step explanation:

28% of $19.50 is $5.46