donald needs to stamp 145 pieces of mail. he has finished 97 pieces. how many more does he have to do?

a. To represent the value of the house t years after the house was purchased, we can use the formula for compound interest:

Value = Principal * (1 + Rate)^Time

In this case, the principal (P) is the initial purchase price of the house, which is $135,000.

The rate (R) is the annual appreciation rate, which is 4% or 0.04. The time (T) is the number of years after the house was purchased.

Therefore, the function to represent the value of the house t years after the purchase is:

Value(t) = $135,000 * (1 + 0.04)^t

b. To find the value of the house in 10 years, we can substitute t = 10 into the function:

Value(10) = $135,000 * (1 + 0.04)^10

Calculating this expression gives us the value of the house after 10 years based on the given rate of appreciation.

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Answer:

20

Step-by-step explanation:

20

I hope it will help

Answer:

In the picture below

Step-by-step explanation:

Answer:

x=-3/2

Step-by-step explanation:

Up above!

Answer: $50

Step-by-step explanation:

The probability exactly two of the appeals were successful is 0.9536

We are given that 40% of first-round appeals were successful (The Wall Street Journal, October 22, 2012), and suppose ten first-round appeals have just been received by a Medicare appeals office.

This situation can be represented through Binomial distribution as;

\(P(X=r)={}^{n}C_{r}(p)^r(1-p)^r\) where \(x=0,1,2,3.....\)

where,  n = number of trials (samples) taken = 10

            r = number of success

            p = probability of success which in our question is % of first-round

                  appeals that were successful, i.e.; 40%

So, here X ~ Binom(n=10 , p=0.40

Probability that at least two of the appeals will be successful = P(X>=2)

   P(X >= 2) = 1 - P(X = 0) - P(X = 1)

                    = 1 - \(^{10}C_{0}(0.40)^0(1-0.40)^{10-0}-^{10}C_{1}(0.40)^1(1-0.40)^{10-1}\)

                     = 1 - 0.00605 - 0.0403

                     = 0.9536

Hence, the probability exactly two of the appeals were successful is 0.9536

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162 centimeters is equivalent to approximately 5.28 feet.

Converting units of length is a common task in various fields, including science, engineering, and mathematics. There are many different units of length, including centimeters, meters, feet, and inches.

To convert centimeters to feet, you need to know the conversion factor between the two units. One foot is equivalent to approximately 30.48 centimeters, so to convert centimeters to feet, divide the number of centimeters by 30.48.

For example, to convert 162 centimeters to feet, divide 162 by 30.48:

162 cm / 30.48 cm/foot = 5.28 feet

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When calculating basic temperature data, the difference between the highest and lowest monthly means is called temperature range.

Temperature range refers to the difference or interval between the highest and lowest monthly mean temperatures. It provides information about the variability in temperatures experienced over a specific period, typically within a month. This range is obtained by subtracting the lowest monthly mean temperature from the highest monthly mean temperature.

Temperature range is an essential metric in climate and weather analysis. It helps to understand the extent of temperature fluctuations and the overall temperature variability in a particular region.

A larger temperature range indicates greater variable, while a smaller range suggests more consistent temperatures.

By examining the temperature range, climatologists, meteorologists, and researchers can gain insights into seasonal temperature patterns, diurnal temperature variations, and potential climate trends.

Temperature range is also relevant for various applications, such as agriculture, energy management, and human comfort assessments.

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The temperature in Sheffield at 4:00pm was [temperature at 7:00am + 1.7°C].

We know that at 4:00pm, the temperature in Sheffield was 1.7 degrees Celsius higher than at 7:00am.

To find the temperature at 4:00pm, we need to add the 1.7 degrees Celsius increase to the temperature at 7:00am.

Since the exact temperature at 7:00am is not provided, we can calculate it by adding the given increase to the morning temperature.

To find the temperature in Sheffield at 4:00pm, we need to determine the temperature at 7:00am and add 1.7 degrees Celsius to it.

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Answer:

ad =4

Step-by-step explanation:

the value today of the money machine is approximately $29,499.48.

The formula to calculate the present value of an annuity is:

PV = C * (1 - (1 + r)^(-n)) / r

PV is the present value

C is the cash flow per period

r is the interest rate per period

n is the number of periods

Cash flow per year (C) = $4,161.00

Number of years (n) = 23.00

Interest rate (r) = 15.00%

First, let's convert the annual interest rate to a decimal and calculate the interest rate per period:

r = 15.00% / 100 = 0.15

PV = $4,161.00 * (1 - (1 + 0.15)^(-23)) / 0.15

Using a calculator, we find that the present value (PV) is approximately $29,499.48.

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Answer:

Melisa's height = 150 cm

Step-by-step explanation:

Initially, we are told there are 4 girls and their average height is 152 cm.

Now, the formula for this average is;

Average height = total sum of heights/number of girls

Thus;

152 = total sum of heights/4

We cross multiply to get;

Total sum of heights = 152 × 4

Total sum of 4 girls height = 608 cm

Now we are told that melissa joins them and the average height of the 5 of them is now 151.6.

Let melissa's height be x.

Thus;

Total height of 5 girls is now; (608 + x)

So, from the formula for average initially;

151.6 = (608 + x)/5

Cross multiply to get;

151.6 × 5 = (608 + x)

758 = 608 + x

Subtract 608 from both sides to get;

758 - 608 = x

x = 150 cm

The curve is given by \(x = y^2,\)so we can express the integral as:

\(∫c x^3 y^4 dx = ∫c (y^2)^3 y^4 dx = ∫c y^10 dx\)

To find the limits of integration, we need to determine the values of y for the endpoints of the curve. At the starting point (0, 0), we have y = 0, and at the endpoint (4, 2), we have y = 2^(1/2). Therefore, the integral becomes:

\(∫c x^3 y^4 dx = ∫0^(2^(1/2)) y^10 dx = [1/11 y^11]_0^(2^(1/2)) =\)\(2^(11/2) / 11\)

Therefore, the value of the integral is \(2^(11/2) / 11\)

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Answer:

Step-by-step explanation:

For correct scientific notation, we need to have 1 number to the left of the decimal, and everything else to the right. Since our number is already less than 1, the exponent representing the number of places we move the decimal will be negative. We have to move the decimal 5 places to the right to get the 5 to the left of the decimal and everything else to the right, making this:

\(5.974*10^{-5\)

Answer:

x=12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

just find the arithimetic sequence and count backwards have a great day

5/3 :8/3= 5/3 X3/8 =5/8

Answer:

you stated the question wrong, a tree grows upwards. state the question again

Answer:

slope = 6

Step-by-step explanation:

since the rate is 6 in/yr, the slope is 6.

94% of the total variation of the dependent variable is explained by the independent variable.

Coefficient of determination refers to the ratio showing the percentage of the variation in the model explained by the independent variables used to study the model.

Higher the value of R2, higher the explanatory power of the model.

In the given question, R2 = 0.94, implying 94% of the total variation in the model is explained by the independent variables.

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Let's assume the sum of the scores of the 28 students who took the test yesterday is 28 * 72 = 2016.

We know that the sum of the scores of all 30 students is (28 * 72) + x + y, where x and y are the scores of the two students who took the test this morning.

We also know that the mean of all 30 scores is 73. So we can write an equation:

[(28 * 72) + x + y]/30 = 73

Multiplying both sides by 30, we get:

2016 + x + y = 2190

So, x + y = 174.

We are given that the difference of the two scores is 22, so we can write another equation:

y - x = 22

Solving these two equations simultaneously, we get y = 98 and x = 76.

Therefore, the lower score from this morning is 76.

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Answer:

The answer is b

Step-by-step explanation:

The distance traveled by the passenger train and the cattle train is equal to the total distance between them, which is 960 miles. Let x be the time (in hours) traveled by the passenger train and cattle train. Then, the equation that represents this situation is:

55x + 65x = 960

Simplifying the left-hand side of the equation, we get:

120x = 960

Dividing both sides by 120, we get:

x = 8

Therefore, the correct equation is:

B - 65x - 55x = 960

The car οvertakes twο buses οn its way tο the city center with the given time and distance.

On its jοurney tο the city centre, the autοmοbile wοuld never pass any buses if it mοved at the same pace as the bus. This is due tο the fact that if bοth the autοmοbile and the bus are mοving at the same speed, their separatiοn will remain cοnstant. Hence, withοut passing any buses, the autοmοbile wοuld arrive in the city centre at the same time as the bus.

Let us suppοse the distance = p.

The distance travelled by the bus in 60 minutes is d/60.

The distance cοvered by the bus in 35 minutes is:

d/60(35)

Fοr the first bus:

It leaves 60 minutes befοre car, thus the distance travelled is:

(d/60) x 60.

If the car οvertakes thus bus by an additiοnal distance x, then the distance travelled by car is:

d = (d/60) x 35 + (d/60) x 60 + x

d = (5/12)d + x

x = 7/12 d

Fοr the secοnd bus:

The bus wοuld have left the airpοrt 120 minutes befοre the car:

(d/60) x 120

The distance cοvered by car with additiοnal distance y is:

d = (d/60) x 35 + (d/60) x 60 + (7/12)d + y

d = (5/6)d + y

y = 1/6d

The car οvertakes the bus thus,

(7/12)d + (1/6)d = d

d = 12/5

Therefοre, the car οvertakes twο buses οn its way tο the city centre.

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Answer:

the answer is C

Step-by-step explanation:

Answer:

-7x-1

Step-by-step explanation:

6-(9x+7)+2x

-(9x+7): -9x-7

= 6-9x-7+2x

6-9x-7+2x=-7x-1

-7x-1

Answer:

-7x - 1

Step-by-step explanation:

Well to start off we have to multiply because of the - symbol at the start of the parenthesis.

So - * 9x is -9x and - * 7 is -7 so our equation looks like this now \(6-9x-7+2x=\).

Now we have to combine like terms so 6 + -7 is -1 and -9x + 2x is -7x.

So now our equation looks like this \(-7x-1=\).

So that is simplifued all the way.

Given the points (1,2) and (2,6), we can find the relation function with the slope-point formula for the equation of a line:

we have that the linear function is y=4x-2. Then for x=4 we have the following:

therefore, the missing value is y=14

(Me again, angles rock!)

Answer:

x = 15

Step-by-step explanation:

Angle QRT and TRS share a line and a vertices, which means they are supplementary. Supplementary angles add up to 180 degrees. Knowing this, we know that the sum of the two angles must equal 180 degrees.

Our equation:

\(3x + 9x = 180\\12x = 180\\12x/12 = 180/12\\x = 15\)

Answer:

x = 15

Step-by-step explanation:

"linear pair" is the sane functionally as "supplementary". These two angles add up to 180°

They threw in there "straight angle" which is basically a straight line just to make sure you knew its flat, straight across 180°

So 9x + 3x = 180

combine like terms

12x = 180

divide by 12

x = 15

Answer:

no

Step-by-step explanation:

its an obtuse triangle

Using an equation while minimizing the value of b, the smallest number of bouts that the B lack Knight could have entered is 6.

Let's assume that the Black Knight entered "b" bouts and the Red Knight entered "r" bouts.

Each knight receives 17 points for every bout entered, so the total points earned by the Black Knight would be 17b, and the total points earned by the Red Knight would be 17r.

The winner of each bout receives an extra 3 points, so if the Black Knight won "w" bouts, he would have received an additional 3w points.

According to the problem, the Black Knight has exactly one more point than the Red Knight, so we can set up the equation:

17b + 3w = 17r

We need to find the smallest number of bouts that the Black Knight could have entered, which means we need to minimize the value of "b."

We know that the Black Knight has one more point than the Red Knight, so we can modify the equation to:

17b + 3w = 17r + 1

Simplifying further, we get:

17b - 17r = 3w - 1

Since we want to minimize the value of "b," we should find the smallest positive difference between 17b and 17r. This difference is 17 (17 - 0 = 17), so we can set b - r = 1 (as b - r = 0 would mean they have the same number of points, not one more).

Substituting b - r = 1 into the equation, we have:

17(1) = 3w - 1

17 = 3w - 1

3w = 18

w = 6

Therefore, the smallest number of bouts that the Black Knight could have entered is 6.

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Answer:

Step-by-step explanation:

Correct option is A)

When we have a normal model for the sampling distribution, we cannot say that a sample mean or sample proportion is approximately 2 standard errors (ses) away from the population mean or the true proportion.

Instead, we can say that 95% of the sample proportions fall within two standard errors of the population proportion. Similar to this, the percentage of sample proportions decreases as the standard error distance decreases and increases as the standard error distance increases.

Therefore, the standard error distance will be greater than 2 standard errors (ses) if 99% of the sample proportions are within a given standard error distance of the population proportion.

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