Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling. Abha collected 178more cans than Shane did.

Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.

The amount Janelle will earn with the compound interest option can be calculated using the formula for compound interest:

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

Where:
A is the total amount after interest has been compounded
P is the principal amount (the initial deposit)
r is the annual interest rate (expressed as a decimal)
n is the number of times interest is compounded per year
t is the number of years

In this case, Janelle deposits 3,000 at an interest rate of 3% for 7 years. We'll compare the simple interest and compound interest options.

For the simple interest option, the interest is calculated using the formula:

I = P * r * t

Where:

I is the total interest earned

Using the given values, we can calculate the interest earned with simple interest:

I = 3000 * 0.03 * 7
I = 630

Now, let's calculate the total amount earned with the compound interest option.

Since the interest is compounded monthly, the interest rate needs to be divided by 12 and the number of years needs to be multiplied by 12:

r = 0.03/12

t = 7 * 12

Using these values, we can calculate the total amount with compound interest:

\(A = 3000 * (1 + 0.03/12)^{(7*12)}\)

A ≈ 3,729.19

To find out how much more Janelle will earn with the compound interest option, we subtract the initial deposit from the total amount with compound interest:

Difference = A - P
Difference = 3,729.19 - 3,000
Difference ≈ 729.19

Therefore, Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.

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4(x+1)+7(x+3)=

4x+4+7x+21=

-Hunter

Answer:

11x + 25

Step-by-step explanation:

\(4(x + 1) + 7(x + 3)\)

expand brackets:

\(\implies 4x+4+7x+21\)

Collect and combine like terms:

\(\implies 11x+25\)

Yes, this sample provides a likely estimate of the population parameter. To calculate the sample proportion, we need to divide the sample size by the number of successes.

In this case, the sample proportion is the number of teenagers that received the MMR vaccination (116) divided by the total sample size (400). This produces a sample proportion of 0.29 or 29%. This is close to the population parameter of 33%, so it provides a likely estimate of the population parameter. This can also be demonstrated by calculating the 95% confidence interval of the sample proportion. Using the formula (P ± 1.96√((P)(1-P)/n)), where P is the sample proportion (29%), and n is the sample size (400), the 95% confidence interval is (25.2%, 32.8%). Since the population parameter (33%) falls within this interval, it provides a likely estimate of the population parameter.

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Answer: Shade 23 squares on the bigger grid and 203 on the smaller one. 0.23 > 0.203

Step-by-step explanation:

Answer:

I hope this helps

Step-by-step explanation:

-3 1/8

Answer:

Angle S is 28 degrees.

Step-by-step explanation:

You know angle R is 62 degrees and that angle Q is 90 degrees because the angle is marked by a teeny square (as I like to call it). You ten can add these two angles together and you will get the angle of 152 degrees. And as you should know that all angles of a triangle added together are  180 degrees you just take 180 degrees and subtract it with the two known angles added together. Thus you know that the final answer to S is 28 degrees.

The descriptions of the transformations are:

The function is given as:

f(x) = -2|x + 6|

The above function is an absolute value function, and an absolute value function is represented as:

f(x) = a|x - h| + k

Where

Vertex = (h, k)

Scale factor = a

So, we have:

a = -2

(h, k) = (-6, 0)

There is no restriction to the input values.

So, the domain is the set of all real numbers

The y value in (h, k) = (-6, 0) is 0

i.e.

y = 0

Because the factor is negative (-2), then the vertex is a minimum

So, the range is all set of real numbers greater than or equal to 0

Hence, the descriptions of the transformations are:

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Answer:33

Step-by-step explanation:

$50.00-(4. $2.75) = $50.00 - $11.00= $39.00

$39.00 / $1.18 =33

Answer:

33

Step-by-step explanation:

$50.00-(4. $2.75) = $50.00 - $11.00= $39.00

$39.00 / $1.18 =33

Answer:

x≥3

Step-by-step explanation:

The correct option is " count 2 units below x=2 line."

In mathematics, a reflection (also spelled reflexion) is a mapping from a Euclidean space to itself that is an isometry with a hyper plane as a set of fixed.

Here, given that,

We have to find the reflection of point B(4,5) on the line x=2

Hence, from the given option the correct option is,

" count 2 units below x=2 line."

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By solving a system of equations, we can see that there are 17 children and 8 parents in the room.

Let's define the variables:

x = number of children.

y = number of parents.

We know that there are 9 more children than parents, then:

x = y + 9

And there is a total of 25 people, so:

x + y = 25

So we have a system of equations:

x = y + 9

x + y = 25

Replacing the first equation into the second one, we get:

(y +9) + y = 25

2y + 9 = 25

2y = 25 - 9 = 16

y = 16/2 = 8

then the value of x is:

x = y + 9 = 8 + 9 = 17

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Answer:

Brian: 22

Charlie: 88

Latoya: 14

Step-by-step explanation:

Set up an equation where b represents the number of messages Brian sent:

4b will represent Charlie because he sent 4 times more texts than Brian did

(b - 8) represents Latoya because they sent 8 less texts than Brian:

b + 4b + (b - 8) = 124

Add like terms:

6b - 8 = 124

6b = 132

b = 22

Now, we can plug in 22 as b to find Charlie and Latoya's number of texts:

4b = 4(22) = 88

b - 8 = 22 - 8 = 14

A half marathon is a long-distance running event that is 13.1 miles long. The event is a popular distance for runners and is considered to be a significant milestone in the sport of running.

To convert the distance of a half marathon from miles to kilometers, you need to use a conversion factor. One mile is equal to 1.60934 kilometers. Therefore, to convert miles to kilometers, you multiply the distance in miles by 1.60934.

For a half marathon, which is 13.1 miles long, you can use the conversion factor to find the distance in kilometers:

13.1 miles x 1.60934 kilometers/mile = 21.0975 kilometers

Therefore, a half marathon is approximately 21.1 kilometers long. This conversion is useful for runners who train or compete in events that use the metric system, which is commonly used outside of the United States.

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The statements that are true concerning the study that was carried out by the pharmaceutical company include the following: This study uses random sampling, This study uses blinding and This study uses a control group. That is option A, B and E.

A pharmaceutical company is defined as the company that has been certified to manufacture and distribute drugs such as the children's vitamin.

While selecting sample for the study, it was stated that 500 children grouped by age was randomly selected.

Out of the total samples, 250 was given the vitamin while the remaining half was given a placebo ( a blind) which would serve as concealment of the group allocation from them as they are serving as the control.

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Answer:

A,B,C,

Step-by-step explanation:

PLATO

Answer: what is the question?

Step-by-step explanation:

Answer:

74°

Step-by-step explanation:

106° + x = 180° [linear pair]

=> x = 180 - 106

=> x = 74°(Ans)

Using Simpson's Rule, the cardiac output can be estimated by approximating the area under the curve formed by the dye concentration readings at two-second intervals.

Simpson's Rule is a numerical method used to approximate definite integrals by dividing the interval into subinterval and applying a weighted average of function values. In this case, we have the time (t) and dye concentration (c(t)) readings at two-second intervals.

To estimate the cardiac output, we need to find the integral of the concentration function over the given time interval. Simpson's Rule can be applied by dividing the interval into subintervals (in this case, 0-12 seconds) and using the given function values to calculate the approximate integral.

By applying Simpson's Rule to the given data, the cardiac output can be estimated by calculating the weighted average of the function values and multiplying it by the width of the subintervals.

Please note that since the table is incomplete, providing the exact calculation and result of the cardiac output is not possible without additional data.

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To find the conditional probability that the number of heads after one more toss (n tosses in total) is even, given that the number of heads after n − 1 tosses is even, we need to divide the probability of getting an even number of heads after n tosses by the probability of getting an even number of heads after n − 1 tosses.

The conditional probability can be found using Bayes' theorem.

Let's break down the problem step by step:

1. We are given that after n − 1 tosses, the number of heads is even.

Let's denote this event as A.

2. We need to find the conditional probability that the number of heads after one more toss (n tosses in total) is even. Let's denote this event as B.

3. We know that P(A) = probability of getting an even number of heads after n − 1 tosses.

4. To find P(B|A), the probability of event B given event A, we can use Bayes' theorem:

  P(B|A) = P(A and B) / P(A)

  P(A and B) = probability of getting an even number of heads after n − 1 tosses and an even number of heads after one more toss.

5. Since getting an even number of heads after one more toss depends on the outcome of the (n − 1) tosses, the probability of A and B is the same as the probability of getting an even number of heads after n tosses.

6. Therefore, P(A and B) = probability of getting an even number of heads after n tosses.

7. Finally, P(B|A) = P(A and B) / P(A) = probability of getting an even number of heads after n tosses divided by the probability of getting an even number of heads after n − 1 tosses.

In summary, to find the conditional probability that the number of heads after one more toss (n tosses in total) is even, given that the number of heads after n − 1 tosses is even, we need to divide the probability of getting an even number of heads after n tosses by the probability of getting an even number of heads after n − 1 tosses.

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Answer:

x = 9, Angles are 54°

Step-by-step explanation:

First, we need to find x:

7x-9 = 5x+9

+9 +9

7x = 5x+18

-5x -5x

2x = 18

x = 9

Now, we plug our x value in to find our angles.

5(9) + 9 = 54

Angle B = 54°

7(9) - 9 = 54°

Angle E = 54°

(angles are the same due to AAA property)

a certified public accountant (cpa) examines a sample of credit memoranda to ensure they were signed by an officer of the company this is an example of test of a control.

A test of a control is conducted to evaluate the effectiveness of internal controls within an organization. It aims to determine whether the control procedures in place are operating effectively to ensure compliance with company policies and procedures. In this case, the CPA is examining the credit memoranda to verify if they were signed by an authorized officer, which is a control procedure in place to prevent unauthorized transactions or fraudulent activities.

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Answer:

each game takes up 7.15 gigabytes (assuming each game takes up the same amount of storage.

Step-by-step explanation:

57.2 divided by 8 is 7.15

Answer: B

Step-by-step explanation:

B) Copernicus rediscovered Aristarchus's heliocentric model. The event which took place during the Copernican revolution.

Answer: HELP

Step-by-step explanation:

HELP MEEEE

Answer:

p = 3  and q = 23.

Step-by-step explanation:

Answer:

–3{6+2π} +7 =4

–3+8π+7=4

5π+7=4

12π =4

π =12/4

π=3

it help you

Answer:

1.{2,8}

Step-by-step explanation:

that's my answer

Answer :

1. { 2, 8 }

x² - 10x + 16 = 0

x² - 2x - 8x + 16 = 0

x ( x - 2 ) - 8 ( x - 2 ) = 0

( x - 2 ) ( x - 8 ) = 0

x - 2 = 0

x = 2

x - 8 = 0

x = 8

Therefore,

the solution to the equation x² - 10x + 16 = 0 is { 2, 8 }.

Answer:

B.16

Step-by-step explanation:

4x4=16

Therefore, each of the equal payments will be approximately $1,293.43.

To calculate the equal payments, we can use the concept of present value. We need to determine the present value of the total repayment amount, considering the interest rate of 10% per year.

The original repayment amounts were $2,000 and $1,800, which were due 60 days ago and 30 days ago, respectively. We need to calculate the present value of these two amounts.

Using the formula for present value, we have:

\(PV = FV / (1 + r)^n\)

Where PV is the present value, FV is the future value, r is the interest rate, and n is the time period in years.

For the $2,000 repayment due 60 days ago, the present value is:

\(PV_1 = $2,000 / (1 + 0.1)^{(60/365)\)

≈ $1,918.13

For the $1,800 repayment due 30 days ago, the present value is:

\(PV_2 = $1,800 / (1 + 0.1)^{(30/365)\)

≈ $1,782.30

Now, we need to determine the equal payments that will be made today, 60 days from today, and 120 days from today.

Let's denote the equal payment amount as P.

The total present value of these equal payments should be equal to the sum of the present values of the original repayments:

\(PV_1 + PV_2 = P / (1 + 0.1)^{(60/365)} + P / (1 + 0.1)^{(120/365)}\)

$1,918.13 + $1,782.30 =\(P / (1 + 0.1)^{(60/365)} + P / (1 + 0.1)^{(120/365)}\)

$3,700.43 = P / 1.02274 + P / 1.04646

$3,700.43 = 1.97746P

P ≈ $1,868.33

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Answer:

3.6

Step-by-step explanation:

Answer:

3.6

Step-by-step explanation: