The table shows the steps for solving the given inequality for x.

−3(4−6x)
Select the reason for each step from the drop-down menus.

To find the initial deposit (P) of Francisco's savings account, we can use the compound interest formula P = A / (1 + r/n)^(nt) with the given values, leading to P = 2,033.88 / (1 + 0.029/12)^(12*9) and solve for P.

To determine the value of Francisco's initial deposit in a savings account that has grown to $2,033.88 with an interest rate of 2.9% compounded monthly after nine years, we need to use the formula for compound interest:

P = A / (1 + r/n)^(nt)

Where:

Given:

Substituting the given values into the formula, we get:

P = 2,033.88 / (1 + 0.029/12)^(12*9)

After calculating the above expression, we can find the initial deposit Francisco made into his savings account nine years ago.

Final answer:

Francisco initially deposited approximately $1,511.29 into the savings account.

Explanation:

To find out how much money Francisco initially deposited, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the final amount ($2,033.88)

P is the principal (initial deposit)

r is the interest rate per period (2.9% or 0.029 in decimal form)

n is the number of compounding periods per year (12 for monthly compounding)

t is the number of years (9)

Plugging in the values, we can solve for P:

2,033.88 = P(1 + 0.029/12)^(12*9)

Simplifying the expression:

2,033.88 = P(1.002416667)^108

2,033.88 = P(1.343917334)

P = 2,033.88 / 1.343917334

P ≈ $1,511.29

Therefore, Francisco initially deposited approximately $1,511.29 into the savings account.

The problem can be an incorrect sequence of reagents added, requirement of heat or proportion of relative reactants when all the reagents simultaneously added into the beaker.

Further  explanation:

The reaction sometimes occurs in a series of elementary reaction which can be described in the reaction mechanism of that particular reaction. So when we added the incorrect sequence of reagents then the reaction may not happen as the way we want.

Some factors which can affect the reaction are as follows:

1. The ratio amount of given reagent may not be correct.

2. Some of the reactions have very slow rate of reactions and thus they required heat to increase the rate of reaction.

3. Sometimes the reagent which is important for the first step can undergo a side reaction with the reagent which should not be there otherwise.

4. That mechanism of reaction may be required light since chemoluminescence reactions depend on excitation of atoms.

5. Sometimes reactants should be mix in dark which can lose their activity in the light.

Learn more:

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2. Calculation of volume of gas: https://brainly.com/question/3636135

Answer details:

Grade: Senior School

Subject: Chemistry

Chapter: Keys to study chemistry

Keywords: Performing experiment, lab partner, add all the reagents into one beaker, two separate beakers, and no reaction occur.

The required property is associative property.

Given that,
To determine a property of addition is shown in the following number sentence 7+(3+5)=(7+3)+5.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
7 + (3 + 5) = (7 + 3) + 5
Here, accoding to the PEMDAS rule, in mathematical string solution of the parenthesis is on priority. But we can see here on the left we add first 3 and 5 then the product adds to 7 and on the right, we add first 7 and 3 then the product adds to 5 gives the same result, this property of addition of number is called associative property.
As
7 + (3 + 5) = (7 + 3) + 5
7 + 8 = 10 + 5
15 = 15

Thus, the required property is associative property.

Learn more about simplification here: https://brainly.com/question/12501526

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Answer:

72º

Step-by-step explanation:

In order to calculate this you have to remember that the center angle of any polygon measures 360º, so what we do is just divide those 360 by the number of angles that you will find in the polygon, the number of angles equals the number of sides, so the pentagon has 5 sides, it will also have 5 angles. So we just divide the 360/5=72

So the smallest angle of rotational symmetry that maps a regular pentagon onto itself will be 72º

Answer: 35 minutes

Step-by-step explanation:

Given : Jess spent 7x minutes on the computer.

Her sister spent 5 x + 10 minutes on the computer, which was the same amount of time Jess spent.

Thus , we have

[tex]7x=5x+10[/tex]

Subtract 5x from both the sides , we get

[tex]2x=10[/tex]

Divide both sides by 2, we get

[tex]x=5[/tex]

Now, the time spent by Jess = 7(5)=35 minutes

Hence, Jess was 35 minutes on computer.

The normal time for this operation is approximately 8.333 seconds. Charlene Brewster is performing at a similar speed to the average for this operation.

The question provides the lap times for Charlene Brewster as 8.4, 8.6, 8.3, 8.5, 8.7, and 8.5, with a performance rating of 110%. To find the normal time for this operation, we can calculate the average of the lap times. Adding all the lap times together and dividing by the number of laps, we get (8.4 + 8.6 + 8.3 + 8.5 + 8.7 + 8.5) / 6 = 50 / 6 = 8.333. Therefore, the normal time for this operation is approximately 8.333 seconds.

Comparing the normal time to Charlene's lap times, we see that her lap times are relatively close to the normal time. This indicates that she is performing at a similar speed to the average for this operation.

Answer:

Step-by-step explanation:

Let the other be [tex] = x[/tex]

As the sum of the number is given as [tex] \frac {7}{8}[/tex]

And one number is [tex] \frac{3}{4}[/tex]

According to question

[tex] \frac{3}{4} +x = \frac{7}{8}[/tex]

Subtracting [tex] \frac{3}{4}[/tex] from both sides we get

[tex] \frac{3}{4} +x - \frac{3}{4} = \frac{7}{8} - \frac{3}{4}[/tex]

Taking LCM of 4 and 8 we get 8

And making

[tex] \frac{3}{4} [/tex] and [tex]\frac{7}{8}[/tex] like fraction by making denominator same.

Multiply [tex] \frac{3}{4} [/tex] by 2 in numerator and denominator and multiply [tex]\frac {7}{8}[/tex] by 1 in numerator and denominator we get

[tex]x= \frac{7}{8} - \frac{6}{8}[/tex]

[tex]x= \frac{7-6}{8}[/tex]

[tex]x =\frac{1}{8}[/tex]

Hence, the other number is [tex]\frac{1}{8}[/tex]

The probability that less than 40% of the 80 voters surveyed indicate they voted for candidate A is P(phat <0.4) = P((phat-p)/sqrt(p*(1-p)/n) <(0.4-0.43)/sqrt(0.43*(1-0.43)/80)) =P(Z<-0.542) =0.2939 (from standard normal table)

Answer:

29.46% probability that less than 40% of the 80 voters surveyed indicate they voted for candidate a

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

For a proportion p in a sample of size n, we have [tex]\mu = p, \sigma = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this problem, we have that:

[tex]\mu = 0.43, \sigma = \sqrt{\frac{0.43*0.57}{80}} = 0.05535[/tex]

What is the probability that less than 40% of the 80 voters surveyed indicate they voted for candidate a?

This is the pvalue of Z when X = 0.4. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{0.4 - 0.43}{0.05535}[/tex]

[tex]Z = -0.54[/tex]

[tex]Z = -0.54[/tex] has a pvalue of 0.2946

29.46% probability that less than 40% of the 80 voters surveyed indicate they voted for candidate a