Tara placed $1200 in a savings account which compounds interest continuously at a rate of 1.4%.


How much will she have in the account after 3 years?

Round your answer to the nearest dollar.

Do NOT round until you have calculated the final answer.

The maximum height reached by each stone is 40.5 meters.

The height of each stone above the ocean is given by the function:

h = -2t² + 2t + 40

This is a quadratic function in standard form, with a = -2, b = 2, and c = 40.

The maximum height reached by the stone occurs at the vertex of the parabolic curve described by this function.

The t-coordinate of the vertex is given as:

t = -b / 2a

Substitute the values of a and b,

t = -2 / (2×(-2)) = 0.5

So the maximum height is reached 0.5 seconds after the stone is thrown.

To find the maximum height, substitute the value of t into the function:

h = -2(0.5)² + 2(0.5) + 40 = 40.5 meters

Therefore, the maximum height reached by each stone is 40.5 meters.

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The fact that multiple number of models of abnormality exist is caused by cultural and social values, cognitive bias, biological factors and limited research. Therefore, the answer is B. Cognitive bias.

The fact that multiple number of models of abnormality exist is caused by a variety of factors. Cultural and social values play a key role in influencing how mental health is viewed and understood. Biological factors, such as genetic predispositions and changes in the brain, can also contribute to psychological distress. Limited research on the subject has led to many different models of abnormality being developed, each with its own unique set of criteria for diagnosing mental health disorders. However, cognitive bias, or the tendency to think of certain behaviors and thoughts as abnormal, is not a major cause of the existence of multiple models of abnormality.

the complete question is :

according to the text, the fact that multiple models of abnormality exist is caused by all of these except:

A. Cultural and social values

B. Cognitive bias

C. Biological factors

D. Limited research

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Oliver's number is bigger than that of Chen.

It is a number equal to 10 times 10.

Given is that Oliver and Chen both write down a number. Oliver says, my number has 8 hundreds and Chen's number only has 3 hundreds, my number must be bigger.

Oliver number can be written as follows -

8 x 10 x 10

Chens number can be written as follows -

3 x 10 x 10

It can be concluded that Oliver's number is bigger than that of Chen.

Therefore, Oliver's number is bigger than that of Chen.

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The correct answer is (c) sec^2α.

What is the Pythagorean theorem?

Pythagoras Theorem is the way in which you can find the missing length of a right angled triangle.

The expression tan^2α + 1/secα can be simplified using trigonometric identities. Recall the following trigonometric identities:

tan^2α + 1 = sec^2α (Pythagorean identity for tangent)

secα = 1/cosα (definition of secant)

Substituting these identities into the original expression, we get:

tan^2α + 1/secα = sec^2α + 1/secα

Now, we can combine the terms with a common denominator:

(sec^2α * secα + 1)/secα

Using the definition of secant (secα = 1/cosα), we can further simplify:

(1/cos^2α * 1/cosα + 1)/secα

Multiplying numerator and denominator by cos^3α, we get:

(1 + cosα)/secα

Recalling that secα = 1/cosα, we can replace secα with its definition:

(1 + cosα)/(1/cosα)

Finally, multiplying the numerator and denominator by cosα, we get:

cosα + 1/cosα

Hence, the equivalent expression for tan^2α + 1/secα is cosα + 1/cosα, which is equivalent to sec^2α for all values of α for which secα is defined. Therefore, the correct answer is (c) sec^2α.

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I dont think that this question is possible.

\( \huge \boxed{Answer : - }\)

[ Due to complementary relation between sin and cos. ]

The value of x = 21

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\( \#TeeNForeveR\)

Answer:

%50

Step-by-step explanation:

hope this helped luv!

Answer:

.5648

Step-by-step explanation:

i am good at math :)

Answer:

= 56 + 0.048

= 56.048

Step-by-step explanation:

560 tenths + 48 thousandths

= 560 × 0.1 + 48 × 0.001

= 56 + 0.048

= 56.048

pls rate as brainliest

Answer:

Well you can't simplify the question anymore so I believe the question is the answer

Step-by-step explanation:

There is no equal sign so it can't be simplified anymore because it says 12i you can't combined 12i with -5 because of the variable

Answer:

\(y=(x+2)(x-3)\)

Step-by-step explanation:

Given: \(y=x^2-x-6\)

To find: a factored form of the given equation

Solution:

The equation \(y=ax^2+bx+c\) can be written in factored form as \(y=a(x-r_1)(x-r_2)\).

To find the x-intercepts, put \(y=0\).

Graph of the equation \(y=a(x-r_1)(x-r_2)\) represents a parabola.

\(y=x^2-x-6\\=x^2+(-1)x-6\\=x^2+(-3+2)x-6\\=x^2-3x+2x-6\\=x(x-3)+2(x-3)\\=(x+2)(x-3)\\\Rightarrow y=(x+2)(x-3)\)

Answer:

3 and 7 = co-interior angles

3 and 8 = corresponding angles

4 and 7 = Alternate angles

6 and 8 = Vertically Opposite Angles

1 and 2 = supplementary angles

2 and 5 = i don't know

Answer:

-1/2

Explanation:

Given the pairs of points (2,4) and (14,-2).

We then have:

The slope of the line joining the given points is -1/2.

Answer:

24 x 2 = 48 plus 24 equal 72

Step-by-step explanation:

3 days equal 72-hour

Answer:

12.5%

Step-by-step explanation:

Total hour in 3 days =72

Total%= 9/72*100

100/8

12.5%

Answer:

70 ÷ 10 = 7

30 30 ÷ 10 = 3

20 20 ÷ 10 = 2

Step-by-step explanation:

Answer: y-intercept is 0,4

Step-by-step explanation:

Answer:

I believe its C

Step-by-step explanation:

The x intercept is (5,0) and the y intercept is (0,4)

Here's a video for more help:

ht tps://w ww.you tube .com/w atch? v=hG yK6i v0 Lg8

Please erase the spaces

hope i helped! GL!!

Answer: The answer is 171.2 Miles

Step-by-step explanation: You can easily find a "Horizon finder" online. It helps for harder equations like this.

Also I just realized that you put 171.20. When a question asks for a nearest tenth, only put the first digit of the decimal.

We know that:

h(x) = 2x - 1

g(x) = 3x + 1

We are trying to find h(x) / g(x)

(h/g) (x) = (2x - 1) / (3x + 1)

This is simplest form.

Answer:

n= -10

Step-by-step explanation:

50-20= 30 so -3n=30. So n= -10.

Answer:

n=-10

Step-by-step explanation:

-3n+20=50 move constant to the right hand side

-3n=50-20 subtract the numbers

-3n=30 divide both sides by -3 and the answer is n=-10

Answer:

1/2 = 3/6 so if

1/2 + 1/6 = 3/6+1/6 = 4/6

to reduce 4/6, divide top and bottom by same number, in this case, 2.

4/6 = 2/3

Answer:

It took Adele's brother 37.45 + 2.10 = 39.55 seconds to run the race.

If wheel on a scooter completes 124 revolutions and travels 22.4 meters then  diameter of the wheel is 57 mm

Each revolution of the wheel covers a distance equal to the circumference of the wheel.

The diameter of the wheel "d".

The distance covered in 124 revolutions is:

distance = 124 x circumference

= 124 x pi x d

= 124 x 3.14 x d

We know that this distance is equal to 22.4 meters, so we can set up an equation:

124 x 3.14 x d = 22.4

Simplifying and solving for d:

d = 22.4 / (124 x 3.14)

d = 0.057 meters

As we know that 1 meter is equal to thousand millimeters so multiply by 1000 to get in millimeters

d = 57 millimeters

Therefore, the diameter of the wheel is approximately 57 mm.

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The author of the review is disappointed with the meatball sub casserole recipe posted on Recipe Masters, which did not turn out well despite following the recipe.

The author recommends that others should not attempt to make the recipe and believes that Recipe Masters should ensure that their posted recipes are reliable and thoroughly tested. The author also implies that the quality of the recipes on Recipe Masters is not as advertised, which could potentially lead subscribers to lose faith in the service and seek out free recipe sites instead.

Therefore, a suitable summary of the author's point of view would be: The author is dissatisfied with the meatball sub casserole recipe on Recipe Masters, which did not work out well and believes that Recipe Masters should provide reliable, thoroughly tested recipes as advertised.

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Answer:

alot

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Like you said, the answer is 0.85.

Answer:

300-20w=?

150+10w=?

Step-by-step explanation:

Answer:

Step-by-step explanation:

320

Answer:2,440,000,000

Step-by-step explanation:

The risk ratios for Virtual Gaming Systems for 2021 are as follows:

Current Ratio: 2.5

Quick Ratio: 1.5

Inventory Turnover: 7.5 times

Days' Sales in Receivables: 29.3 days

Debt-to-Equity Ratio: 1.7

Gross Profit Margin: 35.9%

Return on Assets: 14.5%

Return on Equity: 40.6%

The risk ratios for Virtual Gaming Systems for 2021 are as follows:

Current Ratio: The current ratio is calculated by dividing current assets by current liabilities.

Current Ratio = (Cash + Accounts Receivable + Inventory + Prepaid Rent) / Accounts Payable

Current Ratio = (188,000 + 83,000 + 107,000 + 12,200) / 68,000

Current Ratio = 2.5

Quick Ratio: The quick ratio (also known as the acid-test ratio) is calculated by excluding inventory from current assets in the current ratio formula.

Quick Ratio = (Cash + Accounts Receivable + Prepaid Rent) / Accounts Payable

Quick Ratio = (188,000 + 83,000 + 12,200) / 68,000

Quick Ratio = 1.5

Inventory Turnover: The inventory turnover ratio is calculated by dividing the cost of goods sold by the average inventory.

Inventory Turnover = Cost of Goods Sold / (Opening Inventory + Closing Inventory) / 2

Inventory Turnover = 1,952,000 / (137,000 + 107,000) / 2

Inventory Turnover = 7.5 times

Days' Sales in Receivables: The days' sales in receivables ratio is calculated by dividing accounts receivable by the average daily sales.

Days' Sales in Receivables = (Accounts Receivable / Net Sales) * 365

Days' Sales in Receivables = (83,000 / 3,046,000) * 365

Days' Sales in Receivables = 29.3 days

Debt-to-Equity Ratio: The debt-to-equity ratio is calculated by dividing total liabilities by total stockholders' equity.

Debt-to-Equity Ratio = (Current Liabilities + Long-term Liabilities) / Stockholders' Equity

Debt-to-Equity Ratio = (68,000 + 6,400 + 16,000 + 287,000) / (302,000 + 229,800)

Debt-to-Equity Ratio = 1.7

Gross Profit Margin: The gross profit margin is calculated by dividing gross profit by net sales and multiplying by 100 to express it as a percentage.

Gross Profit Margin = (Gross Profit / Net Sales) * 100

Gross Profit Margin = (1,094,000 / 3,046,000) * 100

Gross Profit Margin = 35.9%

Return on Assets: The return on assets ratio is calculated by dividing net income by total assets and multiplying by 100 to express it as a percentage.

Return on Assets = (Net Income / Total Assets) * 100

Return on Assets = (131,800 / 909,200) * 100

Return on Assets = 14.5%

Return on Equity: The return on equity ratio is calculated by dividing net income by total stockholders' equity and multiplying by 100 to express it as a percentage.

Return on Equity = (Net Income / Stockholders' Equity) * 100

Return on Equity = (131,800 / 531,800) * 100

Return on Equity = 40.6%

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Answer:

The missing side length is 24.98 units

Step-by-step explanation:

Given

The attached right-triangle

Required

The length of the missing length

Let the missing length be x.

Apply Pythagoras theorem

\(Hyp^2 = Opp^2 + Adj^2\)

This gives

\(43^2 = 35^2 + x^2\)

\(1849 = 1225 + x^2\)

Collect like terms

\(x^2 = 1849 - 1225\)

\(x^2 = 624\)

Take square roots of both sides

\(x = \sqrt{624\)

\(x = 24.98\) --- approximated

The Length and width of the rectangle in discuss as in the task content are; 42cm and 7cm respectively.

Let x = width of the rectangle

Therefore the perimeter of the rectangle can be evaluated as follows;

98 = 2(6x+x)

98 = 14x

x = 7

Hence, the length of the rectangle is; 6 × 7 = 42cm.

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