A newly hired lawyer receives a $15,000 signing bonus from a law firm and invests the money in a savings account at 4.75% interest. After 42 months, the lawyer checks the account balance. Part A: Calculate the interest earned, to the nearest dollar, if the interest is compounded quarterly. Show all work. (2 points) Part B: Calculate the interest earned, to the nearest dollar, if the interest is compounded continuously. Show all work. (2 points) Part C: Using the values from Part A and Part B, compare the interest earned for each account by finding the difference in the amount of interest earned. (1 point)

Answer:

Sure, I can help with that! Here are the steps to solve each problem:

a) Since sin A = 0.6018, we can use the inverse sine function (sin^-1) to find the measure of angle A. Taking the inverse sine of 0.6018 gives us 37.19 degrees rounded to the nearest degree.

b) Since cos B = 0.9205, we can use the inverse cosine function (cos^-1) to find the measure of angle B. Taking the inverse cosine of 0.9205 gives us 23.06 degrees rounded to the nearest degree.

c) Since tan C = 0.0349, we can use the inverse tangent function (tan^-1) to find the measure of angle C. Taking the inverse tangent of 0.0349 gives us 2.00 degrees rounded to the nearest degree.

I hope that helps! Let me know if you need any further assistance.

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Explanation:

Let's say the teacher pulls the two boys out of the line, and stands in their place. So we have 5 girls and 1 teacher making 6 people total.

There are 6! = 6*5*4*3*2*1 = 720 different permutations here. Order matters. This involves the teacher, so let's have him/her step out of the line and have the two boys replace the teacher's position. This guarantees the boys stick together. For any permutation, we have 2 different ways to arrange the boys. So we have 2*720 = 1440 different ways to arrange the students so that the two boys are next to each other.

This is out of 7! = 7*6*5*4*3*2*1 = 5040 different permutations overall (we're arranging 5 girls+2 boys = 7 people).

The probability we're after is going to be 1440/5040 = 2/7

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Or you could see it like this

1440 = 2*6!

5040 = 7! = 7*6!

So,

1440/5040 = (2*6!)/(7*6!)

1440/5040 = 2/7

Step-by-step explanation:

I suppose those are fractions.....

columbia = 4  3/5 carleton    <===  columbia /(4 3/5 ) = carleton

carleton = 5 3/4 edward   <=== sub in the value of carleton (above)

columbia / ( 4 3/5) = 5 3/4 edward       multiply both sides by  4  3/5

columbia =  4  3/5  * 5  3/4   edward

                = 23/5  * 23/4 edward = 26  9/20 edward  (simplified)

( as an aside, I looked up Prince Edward Island high point = 499 ft

      so Mount Columbia = 26  9/20 ( 499) = ~13 199 ft above sea level)

Answer:

It would take him 3 miles to talk a 25-mile trail

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

R is mid point of IJ and S is midpoint of KJ.

So RS is half of IK.

2x-5=1/2(x+8)

4x-10=x+8

4x-x=8+10

3x=18

x=18/3=6

SR=2x-5=2(6)-5=12-5=7

Answer:

I think its obtuse but I'm not sure

Answer:

it's obtuse because one of the angle is obtuse and other two are acute so it's obtuse angles triangle

The values of {m} that is greater than 4.6 represent the solution of the given inequality.

An inequality is used to compare two or more expressions or numbers.

For example -

2x > 4y + 3

x + y > 3

x - y < 6

The given inequality is -

5m - 7 > 16

Adding 7 on both sides, we get -

5m - 7 + 7 > 16 + 7

5m > 23

m > 23/5

m > 4.6

Therefore, the values of {m} that is greater than 4.6 represent the solution of the given inequality.

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The ordered pair that is a solution of the system is (-3, -3), the second option.

There are two ways of finding this.

You can use your graph and identify which of the given pointes lies in the region where the two shaded areas intersect.

Another way, is replacing the values of the coordinate points in both inequalities and checking that both are true when evaluated in the point.

Here we will use the graph, because you already had it (and you can see a more precise graph in the image at the end).

We can see that the region os solutions is on the left side of the graph, and the only point that lies on there is (-3, -3)

So that point is the solution.

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Answer:

x inches = 46 inches

2x inches = 92 inches

(7x - 4) inches = 318 inches

Step-by-step explanation:

The perimeter of the triangle is the sum of all three sides. Therefore,

x + 2x + (7x - 4) = 456 inches

10x - 4 = 456

10x = 460

x = 46 inches

Now, we find the other remaining sides.

2x inches = 2(46) inches = 92 inches

(7x - 4) inches = (7(46) - 4) inches = (322 - 4) inches = 318 inches

So, the final answer is

x inches = 46 inches

2x inches = 96 inches

(7x - 4) inches = 318 inches

Answer:

obtuse angle

Step-by-step explanation:

as it is angle 1 is greater than 90

Answer:

y=-4x-2

Step-by-step explanation:

y-y1=m(x-x1)

y-14=-4(x-(-4))

y-14=-4(x+4)

y=-4x-16+14

y=-4x-2

Answer:

-24

Step-by-step explanation:

i think -24 is the answer

If the number of papers is 56, the ratio of the total height in millimeters of 2 mm thick paper to the total height in millimeters of 23 mm thick paper is 2:23.

The ratio is the relative size of two comparable quantities, values, or numbers.

Ratios are computed as the quotients of one value (the numerator) and another (the denominator).

We can depict ratios as decimals, fractions, percentages, or in their standard forms (:).

The total height in millimeters of 2 mm thick paper = 112 mm (56 x 2)

The total height in millimeters of 23 mm thick papers = 1,288 mm (56 x 23)

Ratio = 0.0869 (112 ÷ 1,288) or 2/23 or 8.69%.

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The average is 40 and  the margin of error is 10.95.

What is margin of error?

The margin of error is a statistic expressing the amount of random sampling in the result of a survey.

Average (A) = sum of all the value/ given set.

A = (51+ 41 + 28)/3 = 40

margin of error = 100/square root of 120 = 10.95.

Therefore, the average is 40 and  the margin of error is 10.95.

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Answer:

[-0.2  0.4]

[0.8   -0.6]

Step-by-step explanation:

...hope it help u.... ..

Answer:

\(\angle A'B'C' = 40\)

Step-by-step explanation:

Given

\(\triangle ABC\) and \(\triangle A'B'C'\)

Required

The measure of \(\angle A'B'C\) after the dilation

Dilation does not change the measure of angle of a shape.

So, we have:

Before dilation

\(\angle ABC = 40\)

This implies that: after dilation

\(\angle A'B'C' = 40\)

Answer:

94%

Step-by-step explanation:

A mathematical solution is an assignment of values to the unknown variables that makes the equality in the equation true.

A mathematical problem is a problem that can be represented, analyzed, and possibly solved, with the methods of mathematics.

Given is to understand the meaning of mathematical solution.

Therefore, a mathematical solution is an assignment of values to the unknown variables that makes the equality in the equation true.

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Answer:

B. 1 inch = 0.5 miles

Step-by-step explanation:

trust

The function g(x) can be expressed as g(x) = a(x - h) + k, where a is the coefficient of x (which is 1 for f(x) = x^2), h is the horizontal shift, and k is the vertical shift.

To translate a function 6 units left, we need to shift it horizontally by -6 units. So, h = -6.

Since the function g(x) is a translation of f(x), a and k will have the same values as in f(x). In this case, a = 1 and k = 0.

Therefore, the function g(x) that represents the translation 6 units left of f(x) is:

g(x) = a(x - h) + k

= 1(x - (-6)) + 0

= 1(x + 6) + 0

= x + 6

the answer is: g(x) = x + 6

Answer:

5001

PewDiePie

both!!

rblx, since there r similar games like mincraft in it lol

Answer:I want brainlest,5001 SUPA HARD pewdiepie (i subed)

I prefer minecraft i like both

Step-by-step explanation:

Not sure if thats what u wanted lol :D

Answer:

Ruby: £18

Edward: £24

Claire: £27

David: £42

Emma: £45

Step-by-step explanation:

6 + 8 + 9 + 14 + 15 = 52

Each one receives the following fraction of the total:

Ruby: 6/52

Edward: 8/52

Claire: 9/52

David: 14/52

Emma: 15/52

Ruby: 6/52 × £156 = £18

Edward: 8/52 × £156 = £24

Claire: 9/52 × £156 = £27

David: 14/52 × £156 = £42

Emma: 15/52 × £156 = £45

Answer:

Ruby: £18

Edward: £24

Claire: £27

David: £42

Emma: £45

Answer:

Ruby=18, Edward=24, Charlie=27, David=42, Emma=45

Step-by-step explanation:

sum of ratios is 52

for each one write the ratio over the sum of ratio multiplied by total amount

\(\frac{6}{52} *156\)=18

\(\frac{8}{52} *156\)=24

\(\frac{9}{52} * 156\)=27

\(\frac{14}{52} * 156\)=42

\(\frac{15}{52} * 156\)=45

and to check add all of them and they give 156 pounds

Answer:

Mean: 89 Median: 92 Mode: 94

Step-by-step explanation:

For Mean:

In mathematic terms, mean is the average number in the list.. How you find mean is all of the numbers shown in the table divided by the amount of people (In this scenario, it’s test scores.) All of the test scores added up equals 623. There is 7 test scores shown. So, after we divide the two numbers, we get 89.

For Median:

Median is the middle value in a list. But, this is in order. If we putted the numbers we have, we would get 78, 82, 85, 92, 94, 94, 98. If we look at the middle value, out number would be 92.

For Mode:

Mode is the most repeated number in the list. If you look at the list, every number is only shown once, except for 94. 94 is shown twice, so the answer would be 94.

Answer:

Last option

Step-by-step explanation:

\(-2(z + 3) - z = x - 4(z + 2)\)

\(x = -2(z + 3) - z + 4(z + 2)\)

\(x = -2z - 6 - z + 4z + 8\)

\(x = z + 2\)

The proportion in the tail with regards to the z scores will be:

a. z= 1.00

P(z > 1.00) = 1 - P(Z < 1.00)

= 1 - 0.8413

= 0.1587

The tail will be on the right side.

The proportion of the tail will be 0.1587.

b. z = 0.50

P(z > 0.50) = 1 - P(Z < 0.50)

= 1 - 0.6915

= 0.3085

The tail will be on the right side.

The proportion of the tail will be 0.3085

c. z= -1.25

P(z < -1.25)

= 0.1056

The tail will be on the left side.

The proportion of the tail will be 0.1056.

d. z= -0.40

P(z < -0.40)

= 0.3446

The tail will be on the left side.

The proportion of the tail will be 0.3446.

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Answer:

x = 2 or x = 1

Step-by-step explanation: