a ball is thrown from an initial 5 feet with an initial upward velocity of 17 ft per second the balls height H( in feet) after T seconds is given by the following.h=5+17t-16t^2find all values of t for which the balls height is 9 ft. round your answer(s) to the nearest hundreds .

Melvin earned interest of $14.20.

The compensation a lender or financial institution receives for lending out money is called interest. The percentage of a stockholder's ownership in a company that is also referred to as interest.

The current balance is the previous balance increased by the deposit and interest and decreased by the withdrawal. Let x be the interest.

$6,955.01 + $2,815.85 + x − $100.00=$9,685.06

Combine like terms

$9,670.86 + x = $9,685.06

Subtract $ 9,670.86 from both sides of the equation

x = $14.20

Hence, Melvin earned interest of $14.20.

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Answer:

£109

Step-by-step explanation:

Anything at or above 50 gets rounded up.

49 and below gets rounded down.

Answer: is, £109, rounded to the nearest pound.

Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.

here, given that,

£108.72 has to be rounded off.

we know,

Anything at or above 50 gets rounded up.

49 and below gets rounded down.

hence, Answer: is, £109, rounded to the nearest pound.

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The depreciation in year 2 using the units of activity method is  $23,125.

The depreciation in year 2 using the double declining balance is $19,750.

Depreciation is when the value of an asset declines as a result of wear and tear.

Deprecation in year 2 using the units of activity method = (miles driven in year 2 / total miles) x (cost of the asset - salvage value)

Deprecation = (45,000 / 120,000) x ($79,000 - $12,000)

Deprecation = $23,125

Deprecation using the double declining method = (2/ useful life) x cost of the asset

Depreciation in year 1 = (2/4) x 79,000 = $39,500

Book value in year 2 = 79,000 - $39,500 = $39,500

Depreciation in year 2 = (2/4) x  $39,500 = $19,750

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Answer:

\(BC=5.1\)

\(B=23^{\circ}\)

\(C=116^{\circ}\)

Step-by-step explanation:

The diagram shows triangle ABC, with two side measures and the included angle.

To find the measure of the third side, we can use the Law of Cosines.

\(\boxed{\begin{minipage}{6 cm}\underline{Law of Cosines} \\\\$c^2=a^2+b^2-2ab \cos C$\\\\where:\\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides.\\ \phantom{ww}$\bullet$ $C$ is the angle opposite side $c$. \\\end{minipage}}\)

In this case, A is the angle, and BC is the side opposite angle A, so:

\(BC^2=AB^2+AC^2-2(AB)(AC) \cos A\)

Substitute the given side lengths and angle in the formula, and solve for BC:

\(BC^2=7^2+3^2-2(7)(3) \cos 41^{\circ}\)

\(BC^2=49+9-2(7)(3) \cos 41^{\circ}\)

\(BC^2=49+9-42\cos 41^{\circ}\)

\(BC^2=58-42\cos 41^{\circ}\)

\(BC=\sqrt{58-42\cos 41^{\circ}}\)

\(BC=5.12856682...\)

\(BC=5.1\; \sf (nearest\;tenth)\)

Now we have the length of all three sides of the triangle and one of the interior angles, we can use the Law of Sines to find the measures of angles B and C.

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c} $\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

In this case, side BC is opposite angle A, side AC is opposite angle B, and side AB is opposite angle C. Therefore:

\(\dfrac{\sin A}{BC}=\dfrac{\sin B}{AC}=\dfrac{\sin C}{AB}\)

Substitute the values of the sides and angle A into the formula and solve for the remaining angles.

\(\dfrac{\sin 41^{\circ}}{5.12856682...}=\dfrac{\sin B}{3}=\dfrac{\sin C}{7}\)

Therefore:

\(\dfrac{\sin B}{3}=\dfrac{\sin 41^{\circ}}{5.12856682...}\)

\(\sin B=\dfrac{3\sin 41^{\circ}}{5.12856682...}\)

\(B=\sin^{-1}\left(\dfrac{3\sin 41^{\circ}}{5.12856682...}\right)\)

\(B=22.5672442...^{\circ}\)

\(B=23^{\circ}\)

From the diagram, we can see that angle C is obtuse (it measures more than 90° but less than 180°). Therefore, we need to use sin(180° - C):

\(\dfrac{\sin (180^{\circ}-C)}{7}=\dfrac{\sin 41^{\circ}}{5.12856682...}\)

\(\sin (180^{\circ}-C)=\dfrac{7\sin 41^{\circ}}{5.12856682...}\)

\(180^{\circ}-C=\sin^{-1}\left(\dfrac{7\sin 41^{\circ}}{5.12856682...}\right)\)

\(180^{\circ}-C=63.5672442...^{\circ}\)

\(C=180^{\circ}-63.5672442...^{\circ}\)

\(C=116.432755...^{\circ}\)

\(C=116^{\circ}\)

\(\hrulefill\)

Additional notes:

I have used the exact measure of side BC in my calculations for angles B and C. However, the results will be the same (when rounded to the nearest degree), if you use the rounded measure of BC in your angle calculations.

2. The total dollar amount for each cash dividend is $23,700.

 1. Calculation of outstanding common shares on each cash dividend date:

2.

Calculation of total dollar amount for each cash dividend:

Therefore, the total dollar amount for each cash dividend is $23,700.

3.

Calculation of the capitalization of retained earnings for the stock dividend:

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The equity sections from Atticus Group’s 2016 and 2017 year-end balance sheets follow Stockholders’ Equity (December 31, 2016)

Common stock—$4 par value, 100,000 shares

authorized, 40,000 shares issued and outstanding . .. . . . . . . . . . $160,000

Paid-in capital in excess of par value, common stock .. . . . . . . . . . . . . . . . 120,000

Retained earnings .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 320,000

Total stockholders’ equity .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . $600,000

Stockholders’ Equity (December 31, 2017)

Common stock—$4 par value, 100,000 shares

authorized, 47,400 shares issued, 3,000 shares in treasury . .. . . . . . . $189,600

Paid-in capital in excess of par value, common stock . . . . . .. . . . . . . . . . . . 179,200

Retained earnings ($30,000 restricted by treasury stock) .. . . . . . . . . . . . . 400,000

768,800

Less cost of treasury stock . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (30,000)

Total stockholders’ equity . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . $738,800

The following transactions and events affected its equity during year 2017.

Jan. 5 Declared a $0.50 per share cash dividend, date of record January 10.

Mar. 20 Purchased treasury stock for cash.

Apr. 5 Declared a $0.50 per share cash dividend, date of record April 10.

July 5 Declared a $0.50 per share cash dividend, date of record July 10.

July 31 Declared a 20% stock dividend when the stock’s market value was $12 per share.

Aug. 14 Issued the stock dividend that was declared on July 31.

Oct. 5 Declared a $0.50 per share cash dividend, date of record October 10.

Required

1. How many common shares are outstanding on each cash dividend date?

2. What is the total dollar amount for each of the four cash dividends?

3. What is the amount of the capitalization of retained earnings for the stock dividend?

Answer:

Step-by-step explanation:

45

Answer:

Step-by-step explanation:

5

Answer:

Step-by-step explanation:

the slope of the line perpendicular is -8 (negative recriporal of line)

substitue (3,5) in equation: y = -8x+b

5 = -24+b

b = 29

the equation is y = -8x+29

The simple interest on 1600 with a 6% interest rate for 2 years is $192.

The simple interest simply means the method that's used to calculate the interest that's charged on a loan or money given out.

In this situation, we want to calculate the simple interest on 1600 with a 6% interest rate for 2 years. This will be calculated thus:

Simple interest = Principal × Rate × Interest

Simple interest = $1600 × 6% × 2

Simple interest = $1600 × 0.06 × 2

Simple interest = $192

The interest is $192.

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Complete question

Calculate the simple interest on 1600 with a 6% interest rate for 2 years.

9514 1404 393

Answer:

  3/4; 1/4, 1/4, 1/4

Step-by-step explanation:

The intent here is to let you demonstrate your understanding that multiplication by an integer is the same as repeated addition.

Your knowledge of fractions tells you ...

  \(\dfrac{1}{4}\times3=\dfrac{3}{4}\)

The factor of 3 means this is equivalent to adding 1/4 a total of 3 times:

  \(\dfrac{1}{4}\times3=\dfrac{1}{4}+\dfrac{1}{4}+\dfrac{1}{4}\)

\(1.4 < \sqrt{2} < 1.5\hspace{5em}1.7 < \sqrt{3} < 1.8 \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lllll} 1.7& < &\sqrt{3}& < &1.8\\\\ 1.7-\sqrt{2}& < &\sqrt{3}-\sqrt{2}& < &1.8-\sqrt{2}\\\\ 1.7-1.5& < &\sqrt{3}-\sqrt{2}& < &1.8-1.4\\\\ 0.2& < &\sqrt{3}-\sqrt{2}& < &0.4 \end{array}\)

we're subtracting the upper-bound of √2, so is the most we can subtract from 1.7, and we're subtracting the lower-bound of √2 from 1.8, that way the resultant is within range.

The equation in slope-intercept form is y = x - 6.

What is in slope-intercept form?

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

The equation of the given line p is

y = 8x + 2

Comparing with the slope intercept form, slope = 8

If two lines are parallel, it means that they have the same slope. Therefore, the slope of line q passing through ( -1 , -2 ) is 8

To determine the y intercept, we would substitute m = 8, x = - 1 and

y = -2 into y = mx + c. It becomes

-2 = 8 × - 1 + c

-2 = - 8 + c

c = - 8 + 2 = -6

The equation becomes

y = x - 6

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Answer:

1+i +1-i

4-4i =4+4i

2+5i=2-5i

2(-1/2+i3/2

Step-by-step explanation:

Answer:

i believe the answer that you picked is right ....i think ^^

Answer:

Excise tax

Step-by-step explanation:

Correct me if I'm wrong <3

The smallest positive integer which when divided by 5 leaves a remainder of 3 is 8

From the question, we have the following parameters that can be used in our computation:

Divisor = 5

Remainder = 3

Using the above as a guide, we have the following:

Smallest integer = Divisor + Remainder

So, we have

Smallest integer = 5 + 3

Evaluate

Smallest integer = 8

Hence, the smallest is 8

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Answer:

Options (B) and (C).

Step-by-step explanation:

When a quadratic function 'f' is multiplied by k,

1). If k > 0, function 'f' will be vertically stretched Or horizontally compressed.

2). If 0 < k < 1, function will be vertically compressed Or horizontally stretched.

Given quadratic function is,

f(x) = 3x² + 3x - 7

This function is multiplied by 0.5.

Since 0 < 0.5 < 1, therefore, the function will be compressed vertically Or stretched horizontally.

Therefore, Options B and C are the correct options.

Answer:

20.8

Step-by-step explanation:

so x is opposite the 60 degree angle so that means that it is half of the hypotanuese times root three

so then x would be equal

24/12=12 root three which is equal to 20.8

Answer:

x = 40

Step-by-step explanation:

2x = 80° (Alternate Interior Angles)

x = 40

The graph that has a slope of negative three halves and a y-intercept of 2 is the graph of a line passing through the points (0,2) and (3,0).

What is the slope?

One of the most important things to understand about lines is the definition of slope. The slope is the 'steepness' of the line, also commonly known as rise over run. We can calculate the slope by dividing the change in the y-value between two points over the change in the x-value.

To find the slope of the line, you can use the point-slope formula which is (y2-y1)/(x2-x1) = m,

where m is the slope and (x1,y1) and (x2,y2) are points on the line.

So using the given points in the question, we get (0-2)/(3-0) = -2/3 = -0.66 = -3/2.

And the y-intercept is the point where the line crosses the y-axis, which is 2 in this case.

Hence, the graph that has a slope of negative three halves and a y-intercept of 2 is the graph of a line passing through the points (0,2) and (3,0).

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Answer:

(2, 4)

Step-by-step explanation:

y = 3x - 2

y = -2x + 8

3x - 2 = -2x + 8

    + 2          +2

3x = -2x + 10

+2x   +2x

5x = 10

/5    /5

x = 2

y = 3x - 2

y = 3(2) - 2

y = 6 - 2

y = 4

(x, y) --> (2, 4)

Hope this helps!

The equation of the line would be y = (4/5)x + 4 which in slope-intercept form represents the graph.

The graph is given in the question.

As per the given line, we take two points (0, 4) and (5, 8)

Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = 0, y₁ = 4

x₂ = 5, y₂ = 8

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Substitute values in the equation, we get

⇒ y - 4 = (8 - 4)/(5-0 )[x -0]

⇒ y - 4 = (4/5)x

⇒ y = (4/5)x + 4

The given equation of the line y = 4x + 5 is incorrect because its slope is not correct.

So, the equation of the line would be y = (4/5)x + 4.

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Answer:

\(\displaystyle V = \pi \int_0^{1.835}\left[ 4 - y^2\right]^2 - \left[ 4-\sqrt{4(y+1)}\right]^2\, dy\)

Step-by-step explanation:

We can use the washer method. Because the axis of revolution is vertical, our representative rectangle is horizontal. Recall that:

\(\displaystyle V = \pi \int_a^b \left[ R(y)\right] ^2 - \left[r(y)\right]^2 \, dy\)

Solve each equation as a function of y:

\(\displaystyle \begin{aligned} y & = \sqrt{x} \\ \\ x_1 & = y^2\end{aligned}\)

And:

\(\displaystyle \begin{aligned} y & = \frac{1}{4}x^2 - 1 \\ \\ x_2 & = \pm\sqrt{4(y+1)} \\ \\ & = \sqrt{4(y+1)}\end{aligned}\)

The outer radius R is simply (4 - x₁) and the inner radius r is (4 - x₂). The point of intersection is (3.368, 1,835), so our limits of integration are from y = 0 to y = 1.835.

Therefore, the integral that represents the region being revolved around

x = 4 is:

\(\displaystyle V = \pi \int_0^{1.835}\left[ 4 - y^2\right]^2 - \left[ 4-\sqrt{4(y+1)}\right]^2\, dy\)

Answer:

???? did u type it correctly?

The slope-intercept equation of a linear function f whose graph satisfies the given condition is y = 5.

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁)

Where:

Since the line is perpendicular to x = 6, which is a vertical line, the other line must be horizontal with a slope of zero (0). Therefore, the required equation is given by:

y - y₁ = m(x - x₁)

y - 5 = 0(x - (-5))

y - 5 = 0(x + 5)

y - 5 = 0

y = 5.

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Answer:

Kate.

Step-by-step explanation:

Answer:

Kate, 29.26 is correct

Step-by-step explanation:

99.91 - 70.65 is 29.26

Answer:

how to convert

Step-by-step explanation:

To convert a mixed number to an improper fraction, follow these steps: Multiply the denominator of the fractional part by the whole number, and add the result to the numerator. Use this result as your numerator, and place it over the denominator you already have. This method works for all mixed numbers

Answer:

Change the whole numbers

Step-by-step explanation:

For example

5 3/6

A whole number written as a fraction for this problem is 6/6.

If the problem was 7 4/9, it would 9/9

I'd the problem was 2 3/4, it would be 4/4.

So basically a whole number written as a fraction is when both the top and bottom number are the same. when divide by each other they equal one. 6 divided by 6 is 1, 9 divided by 9 is 1, 4 divide by 4 is 1.

First

Turn 5 3/6 into 5/1 + 3/6

Now add them to together

To add fractions together they have to have the same denominator or bottom number.

What is a number 1 and 6 have in common ?

6 because 1 can be multiplied with any number but 6 can never be multiplied to create 1.

5 is simple 5 whole numbers

so 5/1 × 6/6= 30/6

30/6 + 3/6 = 33/6

now it's an improper faction. There is no whole number, it been converted into a fraction where the top is bigger than the bottom hence why it is improper

There will be 12 slices of pizza left over, which can be expressed as 3/2 or 1 1/2 slices in fraction form.

To find out how much pizza will be left over, we need to calculate the total number of slices available and subtract the number of slices consumed by the players.

Given that there are six pizzas and each pizza has eight slices, the total number of slices available is 6 pizzas * 8 slices/pizza = 48 slices.

Since there are 36 players on the team, and each player has one slice, the total number of slices consumed is 36 slices.

To determine the remaining slices, we subtract the consumed slices from the total available slices: 48 slices - 36 slices = 12 slices.

Therefore, there will be 12 slices of pizza left over.

To express this as a fraction, we can write it as 12/1, which simplifies to 12. This means there will be 12 whole slices of pizza left over.

If you would like to express it as a fraction in its simplest form, you can write it as 12/8. By dividing both the numerator and denominator by their greatest common divisor, which is 4, we get 3/2. So, in fraction form, there will be 3/2 or 1 1/2 slices of pizza left over.

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It would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

To calculate the time it would take to drive from Statesville, NC to Washington, DC, we can divide the distance of 389 miles by the average speed of 65 mph.

Time = Distance / Speed

Time = 389 miles / 65 mph

Time ≈ 5.98 hours

Therefore, it would take approximately 5.98 hours to drive from Statesville, NC to Washington, DC on interstates with an average speed of 65 mph.

To calculate the cost of driving to Washington, DC, we need to know the number of gallons of gas required for the trip. We can find this by dividing the distance by the car's mileage, which is 29 miles per gallon.

Number of gallons = Distance / Mileage

Number of gallons = 389 miles / 29 miles per gallon

Number of gallons ≈ 13.41 gallons

The cost of gas can be calculated by multiplying the number of gallons by the cost per gallon, which is $3.89.

Cost = Number of gallons * Cost per gallon

Cost ≈ 13.41 gallons * $3.89/gallon

Cost ≈ $52.18

Therefore, it would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

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