By rounding to 1 significant figure, estimate
102.2 x 4.2

Answer:

Interest=$3600

Step-by-step explanation:

I = P * r * x * t

Where:

P is the principal amount, $12000.00.

r is the interest rate, 5% per year, or in decimal form, 5/100=0.05.

t is the time involved, 6....year(s) time periods.

So, t is 6....year time periods.

To find the simple interest, we multiply 12000 × 0.05 × 6 to get that:

The interest is: $3600.00

Usually now, the interest is added onto the principal to figure some new amount after 6 year(s),

or 12000.00 + 3600.00 = 15600.00. For example:

If you borrowed the $12000.00, you would now owe $15600.00

If you loaned someone $12000.00, you would now be due $15600.00

If owned something, like a $12000.00 bond, it would be worth $15600.00 now.

push ups Step-by-step explanation:

The density is 0.0768 kg/cup in kilograms per cup.

What are derived units?

Defining a derived unit is the process of deriving a measurement unit from one or more of the seven base units of the International System of Units (SI). There are two types of derived units: dimensionless and the product of base units

It is known that 1 kilogram equals \(10^{6}\) mg of material and also,

1 fluid ounce equals 0.125 cups therefore the density \(\delta\) of a certain material

is expressed in kilograms per cup as :

                              \(\begin{aligned}\delta &= \frac{9600 \cdot 10^{-6}\text{\:kg}}{0.125\text{\:cups}}\\&=\frac{9600\cdot8} {10^{6}}\\&=0.0768 \text{\:kg/cup}\end{aligned}\)  

Therefore, The density is 0.0768 kg/cup in kilograms per cup.

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Answer:

5. beth can buy 49 avocados. 592 divided by 3 = 197 divided by 4 = 49

6. the painting will be 23 inches tall. 27 - 9 = 18 so 5 + 18 = 23

7. the photo will be 18 inches tall. 13 - 1 = 12 so 6 + 12 = 18

8. i think it's $273.08 . 37 divided by 10 = 3.7 x 74 = 273.8

Rose gets 12 refills by a coffee shop.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A coffee shop sells a mug for $8.95. Each refill costs $1.50.

And, Last month Rose spent $26.75 on a mug and refills.

Let number of refills she get = x

So, We can formulate;

⇒ $8.95 + $1.50x = $26.75

⇒ 8.95 + 1.50x = 26.75

⇒ 1.50x = 26.75 - 8.95

⇒ 1.50x = 17.80

⇒ x = 17.8 / 1.5

⇒ x = 12

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Answer:

the two factors are (x + 1 ) , (x - 5)

Step-by-step explanation:

The factors of the quadratic equation x² - 4x - 5 is (x + 1) (x - 5)

A quadratic equation is an algebraic expression whose power is raised to the second degree. The solution of a quadratic equation usually leads to a pair of two factors.

From the given question, we are going to look for two numbers:

Thus, the expansion of the quadratic equation will lead to the following factors:

= (x + 1) (x - 5)

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Answer:

$4, and $44

Step-by-step explanation:

10% of 40 = $4

40+4=$44

just mark 4 ,  44 on number line

Answer: $44.00

Step-by-step explanation: The dollar amount of the taxes are $4.00 and the total amount he paid was$44.00

Answer:

400*6=2,400

2,400-250*6=1,500

2,400-1,500=900, also forgot to add the initial 100 so, 900+100=1,000

1,000-200(5)=0

So he can only make withdrawals every month from his savings account for 5 months.

The factorization of of −12x+6 is 6(-2x + 1).

Factorization simply means writing if a number as a product of several factors. It is also the breaking or the decomposition of an entity.

In this case, -12x + 6 will be illustrated thus. It should be noted that the common factor between the numbers is 6. This will be:

= -12x + 6

= 6(-2x + 1)

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The ratio of the forces is less than 1, we can conclude that Tobin exerts a greater force than Espi. Therefore, Tobin pulls with the most force between the two individuals.

To determine which individual pulls with the most force, we need to compare the magnitudes of the forces exerted by Tobin and Espi. The work done by each person is related to the magnitude of the force applied and the displacement of the boat.

The work done by a force can be calculated using the formula:

Work = Force * Displacement * cos(θ)

Where:

Work is the work done (given as 1900 J for Tobin and 1100 J for Espi)

Force is the magnitude of the force applied

Displacement is the distance the boat is pulled

θ is the angle between the force and the direction of displacement

Let's denote the force exerted by Tobin as F_Tobin and the force exerted by Espi as F_Espi. We can set up the following equations based on the given information:

1900 = F_Tobin * Displacement * cos(25°)   (Equation 1)

1100 = F_Espi * Displacement * cos(45°)    (Equation 2)

To compare the forces, we can divide Equation 2 by Equation 1:

1100 / 1900 = (F_Espi * Displacement * cos(45°)) / (F_Tobin * Displacement * cos(25°))

Simplifying the equation:

0.5789 = (F_Espi * cos(45°)) / (F_Tobin * cos(25°))

The displacements cancel out, and we can evaluate the cosine values:

0.5789 = (F_Espi * (√2/2)) / (F_Tobin * (√3/2))

Simplifying further:

0.5789 = (F_Espi * √2) / (F_Tobin * √3)

To find the ratio of the forces, we can rearrange the equation:

(F_Espi / F_Tobin) = (0.5789 * √3) / √2

Evaluating the right side of the equation gives approximately 0.8899.

Since the ratio of the forces is less than 1, we can conclude that Tobin exerts a greater force than Espi. Therefore, Tobin pulls with the most force between the two individuals.

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a) To maximize its net savings, the company should use the new machine for 7 years.  b) The net savings during the first year of use of the machine are $405 (rounded off to the nearest dollar).  c) The net savings over the period determined in part a are $1,833.33 (rounded off to the nearest cent).

Step-by-step explanation: a) To determine for how many years should the company use the new machine to maximize its net savings, we need to find the value of x that maximizes the difference between the savings and the costs.To do this, we need to first calculate the net savings, N(x), which is given by:S'(x) - C'(x) = 175 - x² - (x² + 11x) = -2x² - 11x + 175To find the maximum value of N(x), we need to find the critical values, which are the values of x that make N'(x) = 0:N'(x) = -4x - 11 = 0 ⇒ x = -11/4The critical value x = -11/4 is not a valid solution because x represents the number of years of operation of the machine, which cannot be negative. (i.e., not use it at all).However, this answer does not make sense because the company would not introduce a new machine that it does not intend to use. Therefore, we need to examine the concavity of N(x) to see if there is a local maximum in the feasible interval.

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Answer:

$8874

Step-by-step explanation:

At the end of the first year, Terrence's car depreciated by 15%.  We can calculate the resulting value with the expression ($20,000)(1 - 0.15) = $17000.  The end of the second year is another 15% reduction, on the already lower value.  For x years, we can write an expression that gives the new value at the end of the year:

f(x) ($20,000)(1 - 0.15)^x

After 5 years the new value would be ($20,000)(1 - 0.15)^5

($20,000)(1 - 0.15)^5 = 8874.11 or $8874

The safe moment capacity of the prestressed beam is approximately 2663.375 kNm.

To determine the safe moment capacity of the prestressed beam, we need to consider the compressive and tensile stresses in the concrete. Given the dimensions of the beam (300mm x 600mm), the effective depth can be calculated as the distance from the centroid to the extreme fiber.

Effective depth (d) = 600mm - (200mm + 300mm/2) = 550mm

Next, we can calculate the lever arm distance (a) using the effective depth:

Lever arm (a) = d/3 = 550mm/3 = 183.33mm

Now, let's calculate the compressive stress (σ_c) in the concrete:

σ_c = Prestressing Force/Area

    = 1110kN / (300mm x 600mm)

    = 6.17 MPa

Since the compressive stress (6.17 MPa) is below the allowable stress in compression (13.5 MPa), we can assume that the beam remains uncracked in compression.

To determine the safe moment capacity (M), we can use the formula:

M = (σ_c * A * d) - (σ_t * A_t * a)

where:

A = Cross-sectional area of the beam (300mm x 600mm)

σ_t = Allowable stress in tension (1.4 MPa)

A_t = Tensile force due to prestressing (Initial force - Final force)

    = (1110kN - 880kN)

    = 230kN

Substituting the values into the formula:

M = (6.17 MPa * 300mm x 600mm * 550mm) - (1.4 MPa * 230kN * 183.33mm)

 = 6.17 * 0.3 * 0.6 * 0.55 * 550 - 1.4 * 230 * 0.18333

 = 2663.375 kNm

Therefore, the safe moment capacity of the prestressed beam is approximately 2663.375 kNm.

To determine the superimposed live load that the beam can carry, we need to consider the appropriate load factors and the span length. The specific load factors depend on the design code and requirements. Once the load factors are determined, the superimposed live load can be calculated based on the safe moment capacity and the span length.

It is important to note that this is a simplified calculation, and a more detailed analysis should be conducted by a qualified structural engineer to ensure the structural integrity and safety of the condominium.

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Answer:

The answer is P = 40

if you click the image it will show you how to solve the equation. I hope this helps you :)

Answer: B

Step-by-step explanation:

196π=πr^2

196=r^2

14=r

14<30

It is not practical to randomly select 120 amino acids and expect to get the correct sequence. The chances of doing so are incredibly small, and it would take an enormous amount of tries to achieve it.

To calculate the number of tries it would take to randomly select the 120 amino acids in the correct sequence, we can use the formula:
n!/(n-r)!
Where n is the number of options and r is the number of selections.
In this case, there are 20 different types of amino acids, so n = 20. We need to select 120 amino acids in the correct sequence, so r = 120.
Using the formula, we get:
20!/ (20-120)! = 20!/(-100)! = (20 x 19 x 18 x ... x 2 x 1) / (-100 x -99 x -98 x ... x -1)
This calculation results in a very large number, which is essentially impossible to calculate or conceptualize. Therefore, it is not practical to randomly select 120 amino acids and expect to get the correct sequence. The chances of doing so are incredibly small, and it would take an enormous amount of tries to achieve it.
To consider the probability of randomly selecting the correct sequence of 120 amino acids. There are 20 different amino acids, so the chance of selecting the correct one for each position is 1/20.
Since there are 120 amino acids in the protein, the probability of selecting the correct sequence in one try is (1/20)^120. To find the average number of tries it would take to achieve this, we can calculate the inverse of this probability:
Average number of tries = 1 / [(1/20)^120] = 20^120
So, on average, it would take 20^120 tries to randomly select the 120 amino acids in the correct sequence.

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Answer: BC=3

Step-by-step explanation: Set the two side lengths equal to each other and solve.

Answer:

BC = 20 units.

Step-by-step explanation:

This triangle has 3 equal sides.

so: -y + 23 = 6y + 2

23 - 2 = 6y + y

21 = 7y

y = 3.

So each side is 6(3) + 2 = 20 units long.

The transformations needed to show that a square CD case is similar to a baseball diamond are a dilation and a rotation.

A dilation is a transformation that enlarges or shrinks an object by a certain factor. In this case, the CD case would need to be enlarged by a factor of 4 to match the size of the baseball diamond.

A rotation is a transformation that turns an object about a certain point. In this case, the CD case would need to be rotated 90 degrees about its center to match the orientation of the baseball diamond.

Once the CD case has been dilated and rotated, it will be similar to the baseball diamond. This means that the two figures will have the same shape, but they will not be the same size.

Answer:

9

Step-by-step explanation:

4-x = 5(16-x)

44-x = 80-5x

4x = 36

x = 9

The 100%-Norm.Dist(value,mean,sd,true) percent of the population has an iq over 115

According to the statement

we have to find that the what percent of the population has an iq over 115.

And from given information,

the mean iq score is 100 and the standard deviation is 15.

And

Normal distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

And by use of this formula, we find the percentage of the population has an iq over 115.

Then the result will comes as 100%.

hence, 100%-Norm.Dist(value,mean,sd,true)

So, The 100%-Norm.Dist(value,mean,sd,true) percent of the population has an iq over 115.

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Answer:

A

Step-by-step explanation:

We have to look at the x axis. The graph starts in x=0 and stops in x=5

Sorry for bad handwriting

if i was helpful Brainliests my answer ^_^

Answer:

7 over 9 so 7/9

Step-by-step explanation:

Answer:

x = 7/ 9  

Step-by-step explanation:

Let  x =  0.777777777777 ... ... ... ...  ...........(A)  

then  10 x = 7.7777777777777 ... ... ... ... ............(B)

Subtracting (A) from (B)

9 x  = 7  and  x = 7 /9

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Answer:

\(a_n=4n-11\)

Step-by-step explanation:

The common difference is \(d=4\) with the first term being \(a_1=-7\), so we can generate an explicit formula for this arithmetic sequence:

\(a_n=a_1+(n-1)d\\a_n=-7+(n-1)(4)\\a_n=-7+4n-4\\a_n=4n-11\)

To forecast future demand using trend adjusted exponential smoothing, the given information includes actual demand for the past 16 periods and the parameters required for the forecast. The parameters include the smoothing constant (α), the trend smoothing constant (β), the trend-adjusted forecast for period 5 (TAF5), and the trend for period 5 (T5).

The question asks to prepare a trend-adjusted exponential smoothing forecast based on these parameters.

Trend adjusted exponential smoothing combines exponential smoothing with a trend component to forecast future values. The formula for calculating the forecast is:

Ft+1 = Ft + Tt + α * (At - Ft) + β * (Tt - Tt-1)

Where:

Ft is the forecast for period t

Tt is the trend component for period t

At is the actual demand for period t

α is the smoothing constant

β is the trend smoothing constant

To start, we need to initialize the forecast and trend values. In this case, we are given the trend-adjusted forecast for period 5 (TAF5) and the trend for period 5 (T5). So, we set F5 = TAF5 and T5 = T5.

Next, we can use the formula to calculate the forecast and trend values for the remaining periods.

We iterate through the periods from t = 6 to t = 16, applying the formula to update the forecast and trend values based on the actual demand for each period.

Finally, we round the forecast values to the desired precision.

By following this procedure and applying the given parameters, we can prepare a trend-adjusted exponential smoothing forecast for the future demand.

The forecast values will reflect the trend in the historical data while incorporating the smoothing constants for better accuracy.

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Answer:

SSS: Side-Side-Side
SAS: Side-Angle-Side
ASA: Angle-Side-Angle

AAS: Angle-Angle-Side

Step-by-step explanation:

They are the conditions used to determine whether two triangles are congruent or not.

Answer:

-5x+(- 15 ) = 20

x=-7

Step by Step

-5x+(-15)= 20 becomes

-5-15=20 add 15 tp (15 and 20)

-5x=35 ( divide by 51

x=-7