If a $100 per month annuity was offering an annual 4.8% interest compounded monthly, how much money would be in the account after two years? Round your answer to the nearest cent, and do not include a dollar sign in your answer.​

Answer:

There are 0

Step-by-step explanation:

Absolute value is the positive distance a number is away from 0, so no value of x will make the equation true

Answer:

A 0

Step-by-step explanation:

There are no solutions. Because the absolute value always returns a positive value, there are no solutions to this equation.

If x is negative, the answer will be positive. If x is positive the answer will still be positive. No value of x will give a value of -4. So there is no solution.

Answer:

Only integer solution is x=8

Step-by-step explanation:

\(\displaystyle \frac{1}{x}+\frac{1}{x+2}=\frac{9}{40}\\\\\frac{x+2}{x^2+2x}+\frac{x}{x^2+2x}=\frac{9}{40}\\\\\frac{2x+2}{x^2+2x}=\frac{9}{40}\\\\40(2x+2)=9(x^2+2x)\\\\80x+80=9x^2+18x\\\\0=9x^2-62x-80\\\\0=x^2-62x-720\\\\0=(x-72)(x+10)\\\\0=(x-8)(9x+10)\\\\x=8,\,x=-\frac{10}{9}\)

Therefore, the only integer solution is x=8

The equation of the exponential function is y = 0.2⋅2^x

The steps for this process are as follows:

Step 1: Set up the equation.

The equation of an exponential function has the form y = a⋅b^x

where a and b are constants and b is greater than 0 and not equal to 1.

Step 2: Find the constants.

We can use the given points to find the constants in the equation. For example, when x = 0, y = 0.2.

So we can set 0.2 = a⋅b^0.

This means that a = 0.2 and b^0 = 1,

so b = 1.

Step 3: Write the equation.

Substituting a = 0.2 and b = 1 into the equation gives us y = 0.2⋅2^x.

This is the equation of the exponential function represented by the table.

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Answer:

10

Step-by-step explanation:

2x + 5 = 8x

Subtract 2x from each side

2x-2x + 5 = 8x-2x

5 = 6x

We want 12x so multiply each side by 2

2*5 = 6x*2

10 = 12x

Answer:

B. 10

Step-by-step explanation:

To find 12x, you first need to find the value of x using the first equation:

\(2x+5=8x\)

You need to get the variables (x) on the same side of the equation in order to simplify them. To do this, use reverse operations. Subtract 2x from both sides to keep the equation balanced:

\(2x-2x+5=8x-2x\\\\5=6x\)

Now isolate the variable (x) by dividing both sides of the equation by 6 (using reverse operations):

\(\frac{5}{6}=\frac{6x}{6} \\\\\frac{5}{6}=x\)

Now insert the given value of x into 12x:

\(12(\frac{5}{6})\)

Simplify:

\(12*\frac{5}{6} \\\\\frac{12}{1}*\frac{5}{6}\\\\\frac{60}{6}=10\)

12x equals 10.

:Done

Roland's percent error is approximately 3.889%.

This means that his measured value differs from the actual value by 3.889% or 0.03889 in decimal form.

The positive sign indicates that Roland's measured value is slightly lower than the actual value.

To calculate Roland's percent error, we can use the formula:

Percent Error = (|Measured Value - Actual Value| / Actual Value) \(\times\) 100

Given that Roland measured a current of 0.173 amps while expecting a current of 0.180 amps, we can substitute these values into the formula:

Percent Error = (|0.173 - 0.180| / 0.180) \(\times\) 100

Simplifying the expression within the absolute value:

Percent Error = (|-0.007| / 0.180) \(\times\) 100

Since the absolute value of -0.007 is 0.007, we have:

Percent Error = (0.007 / 0.180) \(\times\) 100

Calculating the division:

Percent Error = 0.03889 \(\times\) 100

Percent Error = 3.889%.

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True statement for Protecting classified data is classified material must be appropriately marked.

Classified information being transmitted from one commission office to another shall be protected with a classified document cover sheet and hand delivered by an appropriately cleared person to another appropriately cleared person.

Classified information is material that a government body deems to be sensitive information that must be protected. Access is restricted by law or regulation to particular groups of people with the necessary security clearance and need to know, and mishandling of the material can incur criminal penalties.

Data classification is broadly defined as the process of organizing data by relevant categories so that it may be used and protected more efficiently. Data classification involves tagging data to make it easily searchable and trackable.  

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Answer:

|4| = 4

|-4| = 4

Step-by-step explanation:

Answer:

its 4

Step-by-step explanation:

absolute value of 4 is 4 you get rid of any signs co efficients etc.

Answer:

17cm Squared

Step-by-step explanation:

Get the area of the whole triangle, then the area of the white part. Then subtract the white from the whole area

The explanation for the reason why the graph is not a function is: It is not a function because the graph has two different y-values for a single x-value.

A graph is a function when there are exactly one y-value for every x-value that is plotted on the graph.

This implies that, no single x-value can have two different y-values in a graph that represents a function. If there are two different y-values for a single x-value, then the graph is not a function.

In the graph given below, the x-value, 4, has two different y-values, -2 and 4. This makes the graph not a function.

Therefore, the explanation for the reason why the graph is not a function is: It is not a function because the graph has two different y-values for a single x-value.

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Answer:

Step-by-step explanation:

It is not a function because there are two different y-values for a single x-value.

Answer:

Step-by-step explanation:

Given: DE║BC

To prove: \(\frac{\text{AD}}{\text{DB}}=\frac{\text{AE}}{\text{EC}}\)

                Statements                           Reasons

1). DE║BC                                   1). Given

2). ∠1 ≅ ∠4, ∠3 ≅ ∠4                2). Corresponding angles theorem

3). ΔADE ~ ΔABC                      3). AA Similarity theorem

4). \(\frac{\text{AB}}{\text{AD}}=\frac{\text{AC}}{\text{AE}}\)                                4). Corresponding sides are proportional

5). \(\frac{\text{AD+DB}}{\text{AD}}=\frac{\text{AE+EC}}{AE}\)                   5). Segment addition postulate

6). \(1+\frac{\text{DB}}{\text{AD}}=1+\frac{\text{EC}}{\text{AE}}\)                   6). \(\frac{a+b}{c}=\frac{a}{c}+\frac{b}{c}\)

7). \(\frac{\text{DB}}{\text{AD}}=\frac{\text{EC}}{\text{AE}}\)                                7). Subtract 1 from both sides

8). \(\frac{\text{AD}}{\text{DB}}=\frac{\text{AE}}{\text{EC}}\)                               8). Take the reciprocal of both sides

Gender is categorical nominal, end-of-the-year stock classification is categorical and ordinal, and distance is quantitative and ratio.

Quantitative variables are measured with numbers. Some examples include:

Weight measured in kilos

The distance measured in meters or kilometers

Time measured in seconds or hours

On the other hand, a categorical variable is defined by features, categories, or concepts rather than numbers. Here is an example:

Breeds of dogs: Poodles, Boston Terriers, German shepherds, etc.

Moreover, variables can be classified as:

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Answer:

This is your answer ☺️☺️☺️

Answer:

$886.47

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

5/9(50-32)

5/9(18)

5/9×18=10

Hope this helps! :)

The percentage change in attendance after rounding off the answer to the nearest hundredth of a percent will be approximately 48.78%.

To find the percentage change in attendance, we need to calculate the difference between the new and old attendance, divide by the old attendance, and then multiply by 100 to express the result as a percentage:

percentage change = (new attendance - old attendance) ÷ old attendance × 100%

Plugging in the given values, we get:

percentage change = (61 - 41) ÷ 41 × 100%

percentage change = 20 ÷ 41 × 100%

percentage change = 0.4878 × 100%

percentage change ≈ 48.78%

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Answer:

m=-52

Step-by-step explanation:

1) multiply both sides by 4

m=-13×4=-52

Answer:

3zx-15z+12x-60

Step-by-step explanation:

first do parenthesis and distribute (z+4)(x-5) into zx-5z+4x-20

then distribute the 3 to get the answer

Answer:

$42.00

Step-by-step explanation:

We can represent the given information as a ratio:

% of original price : price

                          5% : $2.00

Then, we can multiply both sides of this ratio by 20 (or 100% / 5%) to get 100% of the original price, which IS the original price.

5%      :  $2.00

↓ × 20   ↓ × 20

100%  :  $40.00

Now that we know the original price, we can add $2.00 to get the new price.

$40.00 + $2.00 = $42.00

The difference between the actual quotient and the estimated quotient of 54,114 ÷ 29 is approximately 66.3448275862068965517241379.

To find the difference between the actual quotient and the estimated quotient of 54,114 ÷ 29, we need to first calculate the actual quotient and then the estimated quotient.

Actual quotient:

Dividing 54,114 by 29, we get:

54,114 ÷ 29 = 1,866.3448275862068965517241379 (approximated to 28 decimal places)

Estimated quotient:

Rounding the dividend, 54,114, to the nearest thousand gives us 54,000. Rounding the divisor, 29, to the nearest ten gives us 30. Now, we can perform the division with the rounded values:

54,000 ÷ 30 = 1,800

Difference between actual and estimated quotient:

Actual quotient - Estimated quotient = 1,866.3448275862068965517241379 - 1,800 = 66.3448275862068965517241379

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Answer:

9.5

Step-by-step explanation:

5/(a+3)=3/(a-2)

5(a-2)=3(a+3)

5a-10=3a+9

5a-3a=9+10

2a=19

a=9.5

M

The equation that can be used to represent this situation is 8x + 10y = 1600

Let x represent the number of student tickets sold and y represents the number of adult tickets sold.

Since students ticket cost $8 and adult tickets cost $10, and the total ticket sold was $1600, hence this can be represented by the equation:

8x + 10y = 1600

Therefore the graph of the above equation is attached

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i) The probability of getting at least 4 heads is 0.1875.

ii) The probability of getting at most 4 heads is 0.96875.

The probability of getting exactly k successes in n independent Bernoulli trials with probability of success p is given by the Binomial distribution:

\(P(X = k) = (n choose k) p^k (1-p)^(n-k)\\where (n choose k) = n! / (k!(n-k)!)\)

In this case, we have n = 5 and p = 0.5 (assuming a fair coin).

(i) To find the probability of getting at least 4 heads, we need to add the probabilities of getting 4 heads and getting 5 heads:

\(P(X > = 4) = P(X = 4) + P(X = 5)\)

= \((5 choose 4) 0.5^4 0.5^1 + (5 choose 5) 0.5^5 0.5^0\)

= \(0.15625 + 0.03125\)

= \(0.1875\)

Therefore, the probability of getting at least 4 heads is 0.1875.

(ii) To find the probability of getting at most 4 heads, we need to add the probabilities of getting 0, 1, 2, 3, and 4 heads:

\(P(X < = 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)\)

=\((5 choose 0) 0.5^0 0.5^5 + (5 choose 1) 0.5^1 0.5^4 + (5 choose 2) 0.5^2 0.5^3 + (5 choose 3) 0.5^3 0.5^2 + (5 choose 4) 0.5^4 0.5^1\\= 0.03125 + 0.15625 + 0.3125 + 0.3125 + 0.15625\\= 0.96875\)

Therefore, the probability of getting at most 4 heads is 0.96875.

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9514 1404 393

Answer:

  3.6 s

Step-by-step explanation:

This is nicely solved by a graphing calculator. It takes about 3.6 seconds to hit the ground.

__

We notice that the vertical velocity is a multiple of the leading coefficient, so we can solve this by completing the square.

  0 = -4.9(t^2 -2t) +28 . . . . . for h = 0

  28 +4.9 = 4.9(t^2 -2t +1) . . . . . rearrange, add 4.9 to both sides

  32.9/4.9 = (t -1)^2

  1 +(1/7)√329 = t ≈ 3.5912. . . . . square root and add 1

It takes about 3.6 seconds for the watermelon to hit the street.

Answer:

A.80is the answer or not

The equation of the line in slope - intercept form is \(y=\frac{-7}{4}x-5\)


Explain what the slope-intercept form is?

Simply put, the slope-intercept form is the way to write a line's equation so that the y-intercept (where the line crosses the vertical y-axis) and slope (steepness) are instantly visible. This expression is sometimes referred to as y = mx + b form

Given: x = -4 , y = 2 and b = -5

y = mx + b

2 = m (-4) + (-5)

m = \(\frac{-7}{4}\)
By putting the value of m we get equation of line
\(y=\frac{-7}{4}x-5\)

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Answer:

C

Step-by-step explanation:

Oleg is correct because the least common denominator of both is 4, so each must have 4 peices

\(\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the Concept of the Statistics,

If we see here, The Andrew is working for 20 hours and his pay for 20hours is, $175

so for 1 hour, he gets = 175÷20 => $8.75 per hour

, so now after 1 year, his pay increases by $1.05 per hour, then we have to add this new amount of pay in his old amount, so that we can show that his pay is actually INCREASED, so the new pay is given as,

$8.75 + $1.05 (per hour)= $9.80

so now his total pay is given as,

E= 9.80h

Option D.) is correct

The simplified expression is cos(x) of trigonometric expression  (sin (30° + x)+sin (30° - x))

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

We can simplify this expression using the sum-to-product formula for sine:

sin(a + b) + sin(a - b) = 2 sin(a) cos(b)

Let's use this formula by setting a = 30° and b = x:

sin(30° + x) + sin(30° - x) = 2 sin(30°) cos(x)

We know that sin(30°) = 1/2, so we can substitute:

sin(30° + x) + sin(30° - x) = 2(1/2) cos(x)

sin(30° + x) + sin(30° - x) = cos(x)

Therefore, the simplified expression is cos(x).

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