John placed $5000 in an account that earns interest compounded annually. His interest rate is 8.2%. If John leaves his money in the account for 10 years, what is the balance of his account? Round your answer to the nearest dollar.

To calculate the probability that two people chosen at random were born during the same month of the year, we need to consider the total number of possible outcomes and the favorable outcomes.

There are 12 months in a year, so the total number of possible outcomes is 12 (one for each month).

Now, let's consider the favorable outcomes. To have two people born in the same month, we need to choose any one of the 12 months for the first person, and then the second person should also be born in the same month.

The probability that the second person is born in the same month as the first person is 1/12 since there is only one favorable outcome out of 12 possible outcomes.

Therefore, the probability that two people chosen at random were born during the same month of the year is 1/12 or approximately 0.0833 (rounded to four decimal places).

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The linear function for this problem is defined as follows:

y = x + 50.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph touches the y-axis at y = 50, hence the intercept b is given as follows:

b = 50.

When x increases by 10, y also increases by 10, hence the slope m is given as follows:

m = 10/10

m = 1.

Hence the function is given as follows:

y = x + 50.

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Answer:

5

Step-by-step explanation:

Use slope formula.

y2-y1/x2-x1

12-2/5-3=

=10/2=5

The slope is 5.

Hope this helps!

Please mark as brainliest if correct!

How many books will Jim have to sort until he gets a break?" depends on the number of books in the library and the number of books starting with the letter Q.

A library worker named Jim is going through the returned books. Books are constantly arriving, and Jim's quirky boss, Quinten Quirrell, forces his workers to sort books until they sort a book with a title beginning with the letter Q. How many books will Jim have to sort until he gets a break?

The number of books Jim will have to sort until he gets a break cannot be determined beforehand since the number of books starting with the letter Q is unpredictable. However, if the number of books starting with the letter Q in the library is known, then the problem can be solved by dividing the total number of books in the library by the number of books starting with the letter Q.

For instance, if there are 1200 books in the library, and 100 books begin with the letter Q, then Jim will have to sort through 1200/100 = 12 books before he can take a break. If the number of books starting with the letter Q is unknown, Jim will keep sorting books until he gets one that begins with the letter Q. This could take a short or long time depending on the size of the library and the number of books starting with the letter Q.

In conclusion, the answer to the question "How many books will Jim have to sort until he gets a break?" depends on the number of books in the library and the number of books starting with the letter Q.

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Answer: 6g

Step-by-step explanation:

80% of 30 g= 80/100*30

= 8*3

=24g

(30-24g)

= 6g

Answer:

6g

Step-by-step explanation:

80% of 30 g = 80/100*30

= 8*3

= 24g

(30-24)g

= 6g

The question is:

This means it is required to find the z-score for 0.05.

To do this, you have to refer to the Area Under Normal Distribution Table.

z-scores are given along the 1st column and 1st row.

The value 0.05 is the significance level. We have to find its corresponding confidence level. To do that, subtract from 0.5:

The z-score for 0.45 is the same as the z-score for 0.05.

Check this or its approximate value in the table:

You'll see for 0.4495.

This falls on 1.6 under .04

Add them together to get 1.6+0.04=1.64

The z-score is 1.64.

The equation or system of equations that can be used to determine the number of cats and dogs Bea has in her pet shop is d = 2c - 5 d + 3 = c + 3. We can solve the system of equations using substitution and plug it back into either equation to find the value of d, which is 8 cats and 10 dogs.

The equation or system of equations that can be used to find the number of cats and dogs Bea has in her pet shop is:

d = 2c - 5

d + 3 = c + 3

No, Bea's Pet Shop could not initially have 15 cats and 20 dogs. This is because the equation or system of equations states that the number of dogs is five less than twice the number of cats, which would mean that 15 cats would result in 25 dogs, which is not equal to 20.

To determine algebraically the number of cats and the number of dogs Bea initially had in her pet shop, we can use the equation or system of equations that we previously created.

d = 2c - 5

d + 3 = c + 3

We can solve the system of equations using substitution:

d = 2c - 5

d + 3 = c + 3

d + 3 = c + 3

d = c + 3

2c - 5 = c + 3

2c = c + 8

c = 8

Once we determine the value of c, we can plug it back into either equation to find the value of d:

d = 2(8) - 5

d = 15 - 5

d = 10

Therefore, Bea initially had 8 cats and 10 dogs in her pet shop.

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The complete question is: At Bea's Pet Shop, the number of dogs, d, is initially five less than twice the number of cats, c. If she decides to add three more of each, the ratio of cats to dogs will be – Write an equation or system of equations that can be used to find the number of cats and dogs Bea has in her pet shop. Could Bea's Pet Shop initially have 15 cats and 20 dogs? Explain your reasoning. Determine algebraically the number of cats and the number of dogs Bea initially had in her pet shop.​

The 14.7 times larger is (1.176 x 10¹) than (8 × 10-¹) if the numbers are  (1.176 x 10¹) than (8 × 10-¹).

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

The numbers are:

(1.176 x 10¹) and (8 × 10-¹)

= (1.176 x 10¹)/(8 × 10-¹)

= 14.7

Thus, the 14.7 times larger is (1.176 x 10¹) than (8 × 10-¹) if the numbers are  (1.176 x 10¹) than (8 × 10-¹).

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Answer: 14.7 Hope it helps

(I got it right on the practice exam)

Step-by-step explanation:

Using the scale factor of 4:1, the side lengths of the real objects are:

B. Side a is 5 inches long and side b is 4.5 inches long.

A scale factor is a number that represents the ratio of the size or dimensions of an object in relation to another object. It is a proportional relationship between two similar objects, where the scale factor is the ratio of any corresponding lengths or dimensions.

Thus, given that the scale factor is 4:1, it means 4 inches of the scale drawing represents 1 inch of the real object.

Therefore, the sides would be:

Side a = 20/4 = 5 in.

Side b = 18/4 = 4.5 in

The answer is B.

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Answer:

$330

Step-by-step explanation:

Start by dividing the original price by five, then multiply by 3. You do that because he paid 3/5 of the original price. Hope this helps!

Answer:

$220

Step-by-step explanation:

Markdown is the percentage decrease

2/5 is written as .4 in decimal form (40%)   \(\frac{2}{5} times 20=\frac{40}{100}\)

So when you multiply the number with the markdown percent, you get

550 times .4 = $220

Answer:

50

Step-by-step explanation:

m3 and m4 are going to be equaivalent due to some law I don't remember the name of.

So, 3x-16 = x+84

(do some rearranging)

2x=100

x=50

Answer:

102 sq. ft.

Step-by-step explanation:

In order to find the side lengths, we divide 1604 by 2. Since it's a square, each side is the same length. Area is length times width so we only need two sides.

1604÷2=102

37.9 Celsius is equal to 100.22 Fahrenheit.

To convert Celsius to Fahrenheit, you can use the following formula: Fahrenheit = (9/5) * Celsius + 32.So when you plug in 37.9 for Celsius, you get: Fahrenheit = (9/5) * 37.9 + 32 = (37.9*9/5) + 32 = 68.982 + 32 = 100.22.

It's important to note that the Fahrenheit and Celsius scales are different ways of measuring temperature. The Fahrenheit scale is used primarily in the United States, while the Celsius scale is used in most other countries.

It is important to be able to convert between the two scales in order to understand temperature measurements in different parts of the world. Knowing the conversion formula or having a conversion table handy allows to convert quickly and easily between the two scales.

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there would be 5 roses in the bouquet.

Let's assume the number of roses in the bouquet is 'x'.

The cost of the bouquet from Riverside Florist would be: $3 (cost per rose) * x (number of roses) + $15 (vase cost) = 3x + 15 dollars.

The cost of the bouquet from Matthew's Flowers would be: $2 (cost per rose) * x (number of roses) + $20 (vase cost) = 2x + 20 dollars.

Since the cost of the bouquet is the same at both flower shops, we can set up the equation:

3x + 15 = 2x + 20

Subtracting 2x from both sides:

3x - 2x + 15 = 2x - 2x + 20

x + 15 = 20

Subtracting 15 from both sides:

x + 15 - 15 = 20 - 15

x = 5

Therefore, there would be 5 roses in the bouquet.

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The 18th term in the sequence, 5,-3,-1,1,3,  is 31.

The first step is to determine the rate of change between the terms in the sequence.

Difference between the first and second term : -3 - (-5) = 2

Difference between the second and third term: -1 - (-3) = 2

Difference between the third term and fourth term: 1 - (-1) = 2

Difference between the fourth and fifth term: 3 - 1 = 2

It can be seen that the terms in the sequence increases by a value of 2. The terms in the sequence can be represented with a linear equation. A linear equation is an equation that increases by a constant terms

The form of a linear equation :

First term + (rate of increase x term)

-5 + (2 x 18)

-5 + 36

= 31

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The approximate the radius of the ball 2.15 cm.

What is the volume of the rectangular prism?

To find the volume of a rectangular prism, we multiply the length of the prism by the width of the prism by the height of the prism.

The volume of the rectangular prism is 2 cm x 3 cm x 8 cm = 48 cubic cm.

A sphere with volume V has a radius r given by the formula:

V = (4/3) * pi * r³

We can rearrange the formula to solve for r:

r = (V * 3 / 4 * pi)^(1/3)

Substituting the volume of the rectangular prism for V:

r = (48 * 3 / 4 * pi)⁻³

The value of r = (48 * 3 / 4 * pi)^(1/3) is approximately equal to 2.15.

hence, The approximate the radius of the ball 2.15 cm.

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Answer:

57 ÷ 6

Step-by-step explanation:

The answer to 57 ÷ 6 will give you the exact amount of paint Judd should use on each figure

The equation that can be used to determine the pounds of laundry the customer brought in to be washed and folded that month is;

D. 0.53x + 26.00 = 37.66

We are given that;

Monthly service fee for Lundromat = $26

They wash and fold clothes at $0.53 per pound  for those customers with a laundry service.

Now, we are told that a customer paid $37.66 total for the month.

If the number of pounds of clothes is denoted as x, then it means that the equation for this will be;

0.53x + 26.00 = 37.66

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Answer: I believe the socks would be $18

Step-by-step explanation:

75% of 24 is 18. 24-18=6 so the shirt was $6 with the discount. 24-6= 18 so that would leave the socks at $18

Answer:

Step-by-step explanation:

Hey Sam,  this seems like "simple" algebra, but it's a lot of implied understanding.  everyone asks about this kind of question.  it's really amazing how teacher can't seem to teach this type of problem.  It's not the students, but the teachers that fail at teaching this .   anyway...

we are given two points and asked to write an equation for the line passing through the two points.  

So, first, do you understand the idea of "an equation of a line" ?

we could use the slope-intercept formula   y=mx+b as the template for what we want to make.  But you also have to understand what that formula is explaining.  The idea or concept is important b/c so much more math is built on this.  The equation of a line.

just remember the two formula's   slope-intercept and point-slope,  they are very related.    Y=mx+b   and  Y-y1=m(x-x1)    respectively.

the given points:  

point P1 (2,7)  in the form (x1,y1)

point P2(0,-5)  in the form (x2,y2)

step one:

slope = m

m = (y2-y1) / (x2-x1)

now plug in the given points ,  to find the slope.

m = (-5-7) / (0-2)

m = -12 / -2

m = 12  / 2

m = 6

Step two:

since we've found the slope, now use the point-slope formula  with either of the given points and then solve for Y, that is, isolate Y.  This will automatically give us the slope-intercept form and the equation for the line :) I'll use P1

Y - y1 = m(x -x1)

Y - 7 = 6(x-2)

I just plugged in the point P1 for x1,y1 and m=6, now use your algebra skillz

Y - 7 = 6x -12

Y = 6x -12 +7

Y = 6x - 5

there is your answer,  and the equation for the line in slope-intercept form.  :)

On graphing function A: 3x - 21 and function B: y = 2x - 3, it is known that both are linear as they both form a straight line.

What is a linear function?

A linear function is a function that, when plotted, creates a straight line. Typically, it is a polynomial function with a maximum degree of 1 or 0. Nevertheless, calculus and linear algebra are also used to represent linear functions.

The function A is given as 3x - 21.

The function B can be written in slope intercept form -

y = mx + b

where m is the slope and b is the y-intercept.

m = (y2-y1)/(x2-x1)

m = [1-(-1)]/(2-1)

m = 2/1

m = 2

To find y-intercept substitute x = 1 and y = -1.

y = mx + b

-1 = 2(1) + b

-1 = 2 + b

b = -1 - 2

b = -3

Hence the equation for function B is y = 2x - 3.

Therefore, on graphing function A and B it can be seen that both are linear.

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The correct answer is A. The function T(t) is continuous because the temperature changes gradually as time increases, with no jumps in between.

In this context, a continuous function means that the temperature changes smoothly and continuously with time, without any abrupt or sudden changes. Since the temperature is expected to change gradually over time, there are no jumps or discontinuities in the function. Option B is incorrect because the temperature being constant would imply that there are no changes at all, which is unlikely for a given day in Chicago.

Option C is incorrect because it states that the temperature changes quickly, implying abrupt changes, which contradicts the expectation of gradual changes mentioned in the problem. Option D is incorrect because it suggests that the temperature varies throughout the night, which is expected and does not indicate discontinuity.

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Problem

4) g(x) = x2 + 4, h(x) = x +4. Find (g oh)(x)

Solution

We want to find goh(x) so we need to do the following:

goh(x) = ghf(x))

And replacing we got:

goh(x)= (x+4)^2 +3

And if we solve the square we got:

goh(x)=x^2 +8x +16+3= x^2 +8x+9

Answer:

because a line tends to an infinite point and if the line is divided into two, you will not have equal parts

Answer:13.D      14.C

Step-by-step explanation:

The values of x and y that make RAPT a parallelogram are;

x = 15 and y = 25

Angle T and angle P are supplementary angles by parallel lines. Thus they sum up to 180 degrees and we have;

3x + 10 + 8x + 5 = 180

11x + 15 = 180

11x = 165

x = 15

T = 55°

P = 125°

Likewise R and T are supplementary angles by parallel lines and so we have;

55 + 5y = 180

5y = 180 -55

5y = 125

y = 25

R = 125°

A must be 55° since the angles add up to 360°.

R + A + P + T =

125 + 55 + 125 + 55 = 360°

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Answer:

Let ac=ab=5

With this, bc= 5√2

Step-by-step explanation:

So to find ad, Let ad be x

5√2=(2)(x)

(5√2/2)= x

This proves that bc=2ad

Answer:

\( \sqrt{6} \)

Step-by-step explanation:

We first divide sqrt8 by to 2.

Next we multiply that by sqrt3

\( \sqrt{8} \ \div 2 \times \sqrt{3} \)

Answer:

x=10 and y=4

Im not sure if this is correct but I looked it up and it said it was right

Answer:

(if you're looking for intercepts then: x = 10, y = -4)

Step-by-step explanation:

\(\sf{2x - 5y = 20\)

\(\sf{Finding~x:\)

\(2x - 5y = 20\)

     \(+ 5y = + 5y\)

↪ 2x = 5y + 20

\(\frac{2x}{2} = \frac{5y}{2} + \frac{20}{2}\)

\(\sf{Finding~y:}\)

\(2x - 5y = 20\)

\(-2x~ = ~~~~-2x\)

↪ -5y = -2x + 20

\(\frac{-5y}{-5} = \frac{-2x}{-5} + \frac{20}{-5}\)

--------------------

Hope this helps!

Answer:

Step-by-step explanation:

The answer is 570 because if you multiply 38 times 15 = 570 so it is 570. Thank you for answering to hope this helps you if you need more help contact me!

Answer:

$5.70

Step-by-step explanation:

Since it is 15% to make it a decimal you would move the decimal 2 places to the left to make it 0.15 and then multiply like this 38(.15) which is 5.7. So, shipping and handling is $5.70.