This chart shows the annual earnings you are allowed to have after normal retirement age, without affecting Social Security benefits . What year or years was this amount $14,160?

Answer:

Step-by-step explanation: Hello! (Don't read this if you are taking a test, please!)

You know that the taxi will already charge $3.50.  Write that down.  You know that Jamar is riding for 7 miles.  You know that each mile costs $2.  Multiply the cost of a single mile by the amount of miles, 7.  Then you will get your answer.  I hope I helped you out!

Answer:

1.\(8m-2n\)
2.\(-2b+5\)
3.\(-8c+46\)

Step-by-step explanation:

Given the following questions:

\(3m-2n+5m\)
\(-b-b+5\)
\(50-9-8c+5\)

To simplify the following we are going to have to regroup and combine like terms which means we are going to use inverse of operations on terms with similar variables.

Question one:
\(3m-2n+5m\)
\(3m-2n+5m=3m+5m-2n\)
\(3m+5m-2n\)
\(3m+5m=8m\)
\(=8m-2n\)

Question two:
\(-b-b+5\)
\(-b-b=-b+-b=-2b\)
\(=-2b+5\)

Question three:
\(50-9-8c+5\)
\(50-9-8c+5=-8c+50-9+5\)
\(-8c+50-9+5\)
\(50-9=41\)
\(-8c+41+5\)
\(41+5=46\)
\(=-8c+46\)

Which means your answers are "8m - 2n, -2b + 5, and -8c + 46."

Hope this helps.

mhorn seems to be correct

Step-by-step explanation:

yshahaa

A set of data is given: 3, 7, 11, 11, 16 Jesse calculated a measure of central tendency and got 9. 6.

Jesse has calculated the Mean of the given set of data. The centre or middle of a set of data values is represented by a measure of central tendency. Mean, median, and mode are the most often used measures of central tendency.

The most common and well-known index of central tendency is the mean (or average). Although it can be used with both discrete and continuous data, continuous data is the most common type utilized with it. The mean is determined by dividing the total number of values in the data set by the number of values in the data set.

Formula for calculating mean is -  Sum of the observations/Total number of observations.

So here in the question, the sum of the observations is 48 which is calculated by adding all the values of data i.e 3+7+11+11+16 = 48 and the total number of observations are 5.

Hence, the Mean = 48/5 = 9.6

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Answer:

73.6

Step-by-step explanation:

The number line that represents the solution set for the inequality 3(8 – 4x) < 6(x – 5) will be D. A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.

It should be noted that a number line is used to illustrate the intervals between the numbers given.

Therefore, the number line that represents the solution set for the inequality 3(8 – 4x) < 6(x – 5) will be a number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right

In conclusion, the correct option is D.

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The odds in favor of pulling out a quarter from Mel's pocket are 5 to 6. This means that out of the total of 11 coins (5 quarters + 6 dimes), there are 5 quarters, so the odds in favor of choosing a quarter are 5 out of 11.

The odds in favor of pulling out a dime from Mel's pocket are 6 to 5. This means that out of the total of 11 coins, there are 6 dimes, so the odds in favor of choosing a dime are 6 out of 11.

To calculate the probability of choosing a quarter, we divide the number of favorable outcomes (5 quarters) by the total number of possible outcomes (11 coins). Therefore, the probability of choosing a quarter is 5/11.

Similarly, to calculate the probability of choosing a dime, we divide the number of favorable outcomes (6 dimes) by the total number of possible outcomes (11 coins). Hence, the probability of choosing a dime is 6/11.

The odds against choosing a dime can be determined by considering the remaining coins in Mel's pocket. Since there are 5 quarters and 6 dimes, the odds against choosing a dime would be 5 to 6. This implies that out of the remaining 11 coins (after pulling one out), there are 5 quarters and 6 dimes, resulting in odds against choosing a dime being 5 out of 11.

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Answer:

Quadrant 2

Step-by-step explanation:

-8 - 9 = -17

5 - (-1) = 6

(-17, 6) = second quadrant

a) The relevant population is the heavy soft-drink users in the given case, and the appropriate sampling design that should be used is  stratified random sampling. The list of all heavy soft-drink users is the sampling frame.

b) Cluster sampling refers to a sampling design where population is divided into naturally occurring groups and a random sample of clusters is chosen.

The advantages are efficient, easy to perform, and used when the population is widely dispersed. The disadvantages are sampling errors, have lower level of precision, and have the standard error of the estimate.

a) The relevant population for the public relations research department to investigate the initial reactions of heavy soft-drink users to a new all-natural soft drink is heavy soft-drink users. The appropriate sampling design that can be used to investigate the issues is stratified random sampling.

Stratified random sampling is a technique of sampling in which the entire population is divided into subgroups (or strata) based on a particular characteristic that the population shares. Then, simple random sampling is done from each stratum. Stratified random sampling is appropriate because it ensures that every member of the population has an equal chance of being selected.

Moreover, it ensures that every subgroup of the population is adequately represented, and reliable estimates can be made concerning the entire population. The list of all heavy soft-drink users can be the sampling frame.

b) Cluster sampling is a type of sampling design in which the population is divided into naturally occurring groups or clusters, and a random sample of clusters is chosen. The elements within each chosen cluster are then sampled.

The advantages of cluster sampling are:

The disadvantages of cluster sampling are:

A situation where cluster sampling would be appropriate is in investigating the effects of a new medication on various groups of people. In this case, the population can be divided into different clinics, and a random sample of clinics can be selected. Then, all patients who meet the inclusion criteria from the selected clinics can be recruited for the study. This way, the study will be less expensive, and it will ensure that the sample is representative of the entire population.

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Answer:

C.

Step-by-step explanation:

Adjacent / Hypotenuse = 24 / 25

Therefore, the correct statistical decision is (b) reject the null hypothesis with either α = .05 or α = .01.

To determine the correct statistical decision, we need to compare the calculated F-ratio to the critical F-value based on the degrees of freedom and the chosen alpha level (α).

The degrees of freedom for the numerator (df between) is k - 1, where k is the number of conditions (k = 4 in this case). The degrees of freedom for the denominator (df within) is N - k, where N is the total sample size (N = 8 * 4 = 32).

Using a significance level of α = .05, we can consult an F-table or use statistical software to find the critical F-value with (k-1) and (N-k) degrees of freedom. For this case, the critical F-value is 3.10.

Since the calculated F-ratio (F = 4.60) is greater than the critical F-value (3.10) at α = .05, we can reject the null hypothesis and conclude that there are statistically significant mean differences among the four conditions.

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well, from 1990 to 1998 is 8 years, and we know the amount went from $4800 to $6300, let's check for the rate of growth.

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$6300\\ P=\textit{initial amount}\dotfill &\$4800\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{years}\dotfill &8\\ \end{cases} \\\\\\ 6300=4800(1 + \frac{r}{100})^{8} \implies \cfrac{6300}{4800}=(1 + \frac{r}{100})^8\implies \cfrac{21}{16}=(1 + \frac{r}{100})^8\)

\(\sqrt[8]{\cfrac{21}{16}}=1 + \cfrac{r}{100}\implies \sqrt[8]{\cfrac{21}{16}}=\cfrac{100+r}{100} \\\\\\ 100\sqrt[8]{\cfrac{21}{16}}=100+r\implies 100\sqrt[8]{\cfrac{21}{16}}-100=r\implies \stackrel{\%}{3.46}\approx r\)

now, with an initial amount of $4800, up to 2007, namely 17 years later, how much will that be with a 3.46% rate?

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &4800\\ r=rate\to 3.46\%\to \frac{3.46}{100}\dotfill &0.0346\\ t=years\dotfill &17\\ \end{cases} \\\\\\ A=4800(1 + 0.0346)^{17} \implies A=4800(1.0346)^{17}\implies A \approx 8558.02\)

In a polynomial function of the lowest degree with rational coefficients that have the given numbers as some of its zeros, we can use the fact that if a number "a" is a zero of a polynomial function, then (x-a) is a factor of the function.

Therefore, we can start by multiplying together (x-a) for each given zero, and then simplify the resulting expression to get the polynomial function in standard form with rational coefficients.

For example, if the given zeros are 2, -1, and 1/2, we would start by multiplying (x-2)(x+1)(x-1/2), which gives:

(x-2)(x+1)(2x-1)

Expanding this expression, we get:

2x^3 - 3x^2 - 5x + 2

This is a polynomial function of degree 3 (highest exponent is 3) with rational coefficients (all coefficients are integers or fractions). Note that this is the lowest degree possible for a polynomial with these zeros, since there are three distinct zeros.

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The cost of Japan and Switzerland tickets are 17.15 dollars and 13.15 dollars respectively.

it would cost $77.75 to buy three tickets in Japan plus 2 tickets in Switzerland. Three tickets in Switzerland plus two tickets in japan would cost $73.75.

Using system of equation,

let

x = cost of each ticket in Japan

y = cost of each ticket in Switzerland

Therefore,

3x + 2y = 77.75

2x + 3y = 73.75

Multiply equation(ii) by 1.5

3x + 2y = 77.75

3x + 4.5y = 110.625

subtract the equations

2.5y = 32.875

y = 32.875 / 2.5

y = 13.15 dollars

Hence,

3x + 2y = 77.75

3x = 77.75 - 2y

3x = 77.75 - 2(13.15)

3x = 77.75 - 26.3

x = 51.45 / 3

x = 17.15 dollars

Therefore,

cost of Japan ticket = 17.15 dollars

cost of Switzerland ticket = 13.15 dollar

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Answer:

82.3

Step-by-step explanation:

p=3, r=4

12.1*3= 36.3

11.5*4= 46

36.3+46= 82.3

Answer:

82.3

Step-by-step explanation:

Hi there!

We are given the expression 12.1p+11.5r, and we want to evaluate it if p=3 and r=4

We need to simply substitute the given values into 12.1p and 11.5r respectively, then add the numbers together

If p is equal to 3, then that means that 12.1p is equal to 12.1*3, which would be 36.3

If r is equal to 4, then that means 11.5r is equal to 11.5*4, which would be 46

Now add 36.3 and 46 together

36.3+46=82.3

Hope this helps!

Answer:

60/15 =4, 45/15=-3

Step-by-step explanation:

Answer:

Because 4 and 3 both equally times by 15.

Step-by-step explanation:

4 × 15 : 3 × 15 = 60 : 45

Answer:

The change is a decrease of 87%

Answer:

the change of decrease is 87%

Step-by-step explanation:

Answer:

in explanation

Step-by-step explanation:

m5 <  20 + 3m

A particular solution to the differential equation d^(2)y/dt^(2) + y = 1/cos(t), with initial conditions y(0) = 0 and y'(0) = 0, is y(t) = (1/2)log[sec(t)+tan(t)].

We can use the method of undetermined coefficients to find a particular solution to the given differential equation. Since the right-hand side is 1/cos(t), which is not a polynomial in sin(t) and cos(t), we assume a particular solution of the form y_p(t) = Alog[sec(t)+tan(t)] + B. We can then differentiate this twice to find d^(2)y_p/dt^(2) = A[sec(t)+tan(t)][tan(t)+sec(t)]/cos^2(t), and substitute this into the differential equation to obtain:

A[sec(t)+tan(t)][tan(t)+sec(t)]/cos^2(t) + Alog[sec(t)+tan(t)] + B = 1/cos(t)

Multiplying both sides by cos^2(t) and simplifying yields:

A[tan(t)sec(t)+sec^2(t)] + Alog[sec(t)+tan(t)]cos^2(t) + Bcos^2(t) = 1

To satisfy this equation, we must have A = 1/2 and B = 0. Therefore, the particular solution is y_p(t) = (1/2)log[sec(t)+tan(t)]. To find the general solution, we add the complementary function y_c(t) = c1cos(t) + c2sin(t), where c1 and c2 are constants determined by the initial conditions. Since y(0) = 0 and y'(0) = 0, we have c1 = 0 and c2 = 0. Therefore, the general solution is y(t) = y_c(t) + y_p(t) = (1/2)log[sec(t)+tan(t)].

Therefore, a particular solution to the given differential equation with initial conditions y(0) = 0 and y'(0) = 0 is y(t) = (1/2)log[sec(t)+tan(t)].

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Answer:

36:1

Step-by-step explanation:

Divide 504 by 14 to get the ratio

7+(-1) = -3

Steps of adding 7+(-10) using number line are as following:

1) Draw a number line by ranging from -10 to +10.

2) Point out 7 on the number line.

3) Because -10 is added to 7 on the number line, please move 10 numbers left to 7 on the number line. We always go left in addition of a negative number on the number line.

4) The number we reach -3 on left side would be our final sum.

5) From the number we can clearly see that moving 10 number on left to 7, we get -3.

Note: We are moving left because of negative sign in front of 10.

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Answer:

7694

Step-by-step explanation:

2891x2+890x2+66x2=7694

It depends on the rotational speed of the wheel. To calculate this speed, we need to know the angular velocity of the wheel.

The maximum speed of a point on the outside of the wheel, 15 cm from the axle, if we assume that the wheel is rotating at a constant rate, we can use the formula v = rω, where v is the speed of the point on the outside of the wheel, r is the radius of the wheel (15 cm in this case), and ω is the angular velocity of the wheel. Therefore, the maximum speed of a point on the outside of the wheel would be directly proportional to the angular velocity of the wheel.
The formula to calculate the maximum linear speed (v) is:
v = ω × r
where v is the linear speed, ω is the angular velocity in radians per second, and r is the distance from the axle (15 cm, or 0.15 meters in this case).
Once you have the angular velocity (ω) of the wheel, you can plug it into the formula and find the maximum speed of a point on the outside of the wheel.

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Answer:

n=16

Step-by-step explanation:

3 (n-4) = 36

3n -12=36

add twelve to both sides. because -12 + 12 is 0. and once you are at zero, you can cancel it out.

3n=48

divide by 3 on both sides

n=16

Answer:

tab, bat and sometimes abt

Step-by-step explanation:

Answer:

∠BAT,∠TAB,∠A

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

I dont have an explanation, sorry

Answer:

would it be 64

Step-by-step explanation: