Please help me understand how to solve this answer and many more similar

The interest rate for Jaden's savings account is 15%.

To find the interest rate, we can use the formula for simple interest:

Simple Interest = Principal × Interest Rate × Time

Given that Jaden deposited $8,000 and after one year the account held $9,200, we can calculate the interest:

Interest = Final Amount - Principal

Interest = $9,200 - $8,000

Interest = $1,200

Now, let's substitute the values into the formula to find the interest rate:

$1,200 = $8,000 × Interest Rate × 1

Dividing both sides of the equation by $8,000 gives:

Interest Rate = $1,200 / $8,000

Interest Rate = 0.15 or 15%

Therefore, the interest rate for Jaden's savings account is 15%.

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Answer:

Solution We substitute the value 3 for x in the equation and see if the left-hand member equals the right-hand member. 4(3) - 2 = 3(3) + 1. 12 - 2 = 9 + 1.

Answer:

The value of the determinant is 0.

Step-by-step explanation:

Since it is a 3 x 3 determinant, we can calculate its value by the Law of Sarrus:

\(Det = (11)\cdot (98)\cdot (26\cdot y) + (97)\cdot (24\cdot y) \cdot (13) + (22\cdot y) \cdot (12) \cdot (99) - (22\cdot y) \cdot (98) \cdot (13) - (97)\cdot (12) \cdot (26\cdot y) - (11) \cdot (24\cdot y) \cdot (99)\)

\(Det = 28028\cdot y + 30264\cdot y + 26136\cdot y - 28028\cdot y - 30264\cdot y - 26136\cdot y\)

\(Det = 0\)

The value of the determinant is 0.

Answer:

the answer of that is 16 x 5

Step-by-step explanation:

Answer:

x = 4/7

Step-by-step explanation:

\(2\left(3x-1\right)=5-\left(x+3\right)\\\\\mathrm{Expand\:}2\left(3x-1\right):\quad 6x-2\\\\\mathrm{Expand\:}5-\left(x+3\right):\quad -x+2\\6x-2=-x+2\\\\\mathrm{Add\:}2\mathrm{\:to\:both\:sides}\\6x-2+2=-x+2+2\\\\Simplify\\6x=-x+4\\\\\mathrm{Add\:}x\mathrm{\:to\:both\:sides}\\6x+x=-x+4+x\\\\Simplify\\7x=4\\\mathrm{Divide\:both\:sides\:by\:}7\\\\\frac{7x}{7}=\frac{4}{7}\\\\x=\frac{4}{7}\)

Answer:

x = 4/7

Step-by-step explanation:

2(3x – 1) = 5 – (x + 3)

Distribute

6x -2 = 5 -x -3

Combine like terms

6x -2 = 2-x

Add x to each side

6x +x -2 = 2-x+x

7x -2 = 2

Add 2 to each side

7x-2+2 =2+2

7x =4

Divide by 7

7x/7 = 4/7

x = 4/7

The equation used to determine the number of days, x, required for the substance to decay to 63 grams is: x ≈ 83.60

To determine the number of days, x, required for a radioactive substance to decay to 63 grams, we can use the exponential decay formula. The equation that represents the decay of a radioactive substance over time is:

N(t) = N₀ * (1/2)^(t/h)

Where:

N(t) is the remaining mass of the substance at time t

N₀ is the initial mass of the substance

t is the time elapsed

h is the half-life of the substance

In this case, we have an initial mass of 475 grams, and we want to find the number of days required for the substance to decay to 63 grams. We can set up the equation as follows:

63 = 475 * (1/2)^(x/20)

To solve for x, we can isolate the exponential term on one side of the equation:

(1/2)^(x/20) = 63/475

Next, we can take the logarithm (base 1/2) of both sides to eliminate the exponential term:

log(base 1/2) [(1/2)^(x/20)] = log(base 1/2) (63/475)

By applying the logarithmic property log(base b) (b^x) = x, the equation simplifies to:

x/20 = log(base 1/2) (63/475)

Finally, we can solve for x by multiplying both sides of the equation by 20:

x = 20 * log(base 1/2) (63/475)

Using a calculator to evaluate log(base 1/2) (63/475) ≈ 4.1802, we find:

x ≈ 20 * 4.1802

x ≈ 83.60

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The correct answer is the margin of error is 0.13.

A population's standard deviation serves as a gauge for how widely distributed its individual data points are. It's a way to express how dispersed from the mean the data is.

To determine if a discovery or association is statistically significant or not, hypothesis testing uses a z-test. It  checks specifically to see if two means are the same (the null hypothesis). A z-test can only be used when the population standard deviation is known and the sample size is 30 data points or more.

It is given that a sample of 49 eggs yields a sample mean weight of 2.00 ounces

Sample mean , x = 1.69

Population, SD =σ = 0.46

Sample size = n =49

Significance level = α =0.05

The critical value Z* = 1.960

Margin of error = Z* (σ /√n) = 1.96 (0.46/√49) = 0.1288≈ 0.13

Hence, the margin of error is 0.13

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Answer:

30%

Step-by-step explanation:

To be able to calculate the percent of increase between two numbers, you have to divide the increase by the initial number and multiply by 100:

Increase= 1,500

Initial number=5,000

Percent of increase=(1,500/5,000)*100

Percent of increase=0.3*100

Percent of increase=30%

According to this, the answer is that the percent of increase was 30%.

Answer:

30%

Step-by-step explanation:

Answer:

y = 3/5 x + 2

Step-by-step explanation:

y = mx + b

From the graph, we see that b = 2.

y = mx + 2

From the graph, we see that the slope is

slope = m = rise/run = 3/5

y = 3/5 x + 2

Answer:

BC = 12

Step-by-step explanation:

23 - (2 + 9)

23 - 11 = 12

BC = 12

Answer:

600

Step-by-step explanation:

Answer: 0.864

Step-by-step explanation:

0.6 x 0.8 x 1.8 = 0.864

Answer:

7/20

0.35

35%

Step-by-step explanation:

12 year olds: 40%

12 year olds: 25%

11 year olds: 100% - 40% - 25% = 35%

35% = 35/100 = 7/20

35% = 0.35

35% = 35%

(a) The probability is 0.4493.

(a) The number of surface flaws in the interior of automobiles follows a Poisson distribution with a mean of 0.08 flaws per square foot.

Since an automobile interior contains 10 square feet of plastic panel, we can calculate the probability of having no surface flaws using the Poisson distribution formula:

P(X = 0) = (e^(-λ) * λ^0) / 0!

where λ is the average number of flaws per square foot, which is 0.08 * 10 = 0.8 in this case.

Substituting the values into the formula, we have:

P(X = 0) = (e^(-0.8) * 0.8^0) / 0! ≈ 0.4493

Therefore, the probability that there are no surface flaws in an automobile's interior is approximately 0.4493.

(b) If 10 cars are sold to a rental company, we can assume that the presence of surface flaws in each car is independent.

Therefore, the probability that none of the 10 cars has any surface flaws is simply the probability that a single car has no flaws raised to the power of 10.

Using the same Poisson distribution with a mean of 0.08 * 10 = 0.8, we can calculate:

P(X = 0)^10 ≈ 0.4493^10 ≈ 0.0603

Hence, the probability that none of the 10 cars has any surface flaws is approximately 0.0603.

(c) To find the probability that at most 1 car has any surface flaws, we need to calculate the probabilities of having 0 flaws and 1 flaw and then sum them up.

P(X ≤ 1) = P(X = 0) + P(X = 1)

Using the Poisson distribution, we can calculate:

P(X = 1) = (e^(-0.8) * 0.8^1) / 1!

Substituting the values into the formula, we have:

P(X ≤ 1) = P(X = 0) + P(X = 1) ≈ 0.4493 + ((e^(-0.8) * 0.8^1) / 1!) ≈ 0.6389

Therefore, the probability that at most 1 car has any surface flaws among the 10 cars sold to the rental company is approximately 0.6389.

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Using the area of the rectangle given, the length and width of the rectangle are 12 miles and 6 miles respectively.

To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.

In the question, we are given that the width is 6 miles less than the length of the rectangle and the area is 72 squared miles.

Let;

w = l - 6

A = l * w

72 = l * (l - 6)

72 = l² - 6l

l² - 6l - 72 = 0

solving the quadratic equation and taking the positive value;

l = 12 miles

This implies that width will be

w = l - 6; w = 12 - 6 = 6 miles

The length is 12 miles and width is 6 miles

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Answer:

580

Step-by-step explanation:

Assuming that the answer should be in terms of z scores, we can calculate the z score as

z = (observed value - mean)/(standard deviation)

For the first exam, the observed value is 86, the mean is 71, and the standard deviation is 20. The z score fot that exam is

z = (86-71)/20 = 0.75

Then, for the second exam, Evelyn has to do equivalently well, so the z score must be the same. Therefore, we have

0.75 = (observed score - 550)/40

multiply both sides by 40 to remove a denominator

0.75 * 40 = observed score - 550

add 550 to both sides to isolate the observed score

0.75 * 40 + 550 = observed score = 580

Answer:

72°

Step-by-step explanation:

From the figure given, angle D intercepts arc ABC. According to the Inscribed Angle Theorem:

m < D = ½(ABC) = ½(AB + BC)

Thus,

\( 56 = \frac{1}{2}(AB + 40) \)

Solve for AB

\( 56 = \frac{AB + 40}{2} \)

Multiply both sides by 2

\( 56*2 = \frac{AB + 40}{2}*2 \)

\( 112 = AB + 40 \)

Subtract both sides by 40

\( 112 - 40 = AB + 40 - 40 \)

\( 72 = AB \)

Arc AB = 72°

If $1.00 will buy 0.76 euros, then one euro will buy:

1 euro / 0.76 dollars/euro = 1.3158 dollars/euro

Rounded to the nearest cent, one euro will buy $1.32.

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We are given the following two functions

We are to find (f/g)(x)

(f/g)(x) is basically the division of function f(x) by function g(x)

Therefore, the function (f/g)(x) is

Answer:

a.

\(f(t) = 21000( {.918}^{t} )\)

b.

\(f(4) = 21000( {.918}^{4}) = 14913.86\)

The range is 4.5, and it means that the data varies by a value of 4.5.

What is the data set?

A data set is an ordered collection of data. As we know, a collection of information obtained through observations, measurements, study, or analysis is referred to as data. It could include information such as facts, numbers, figures, names, or even basic descriptions of objects.

The range is the difference between the largest and smallest values in a data set.

In this case, the largest value is 8 and the smallest value is 3.5, so the range is 8 - 3.5 = 4.5.

This means that the ballet shoe sizes in this class vary by 4.5, with the largest size being 8 and the smallest size being 3.5.

Hence, The range is 4.5, and it means that the data varies by a value of 4.5.

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Answer:

c: 8

Step-by-step explanation:

Answer:

There are 28 sweets in total.

Step-by-step explanation:

x = total number of sweets = 4/4

toffees = 1/4 or a quarter

4/4 - 1/4 = 3/4

3/4 of x = 21 mints

3/4*x = 24

3x = 21*4

x = 21*4/3

x = 28

Hope this helps.

9514 1404 393

Answer:

  f(x) = 2(x+1)

Step-by-step explanation:

Try the choices and see:

  2(4 +1) = 2·5 = 10 . . . . first choice works

  3·4 -8 = 4 . . . . doesn't work

  4² -7 = 9 . . . . doesn't work

  -4 +12 = 8 . . . . doesn't work

The appropriate choice is ...

  f(x) = 2(x +1)

Answer:

Step-by-step explanation:

Angles around a point add up to 360

x + 53 + 37 + 139 = 360

               x + 229 = 360

                        x = 360 - 229

                        x = 131

Answer:

No solution.

Step-by-step explanation:

It only leads into another equation, that being \(3(4x+9)\). And if you try solving that, you'll just get \(12x + 27\) again. Therefore, there is no visible solution to this problem.

The probability that a dancer performs first in the talent competition can be calculated by dividing the number of favorable outcomes (a dancer performing first) by the total number of possible outcomes (all possible orderings of the acts). The answer is a simplified fraction.

There are a total of 20 acts consisting of 4 instrumentalists, 10 singers, and 6 dancers. Since we want to find the probability of a dancer performing first, we can consider the first act as the dancer, and the remaining acts can be arranged in any order.

The total number of possible orderings of the 20 acts is 20!, which represents the factorial of 20 (20 factorial).

The number of favorable outcomes is 6 * 19!, which means fixing one dancer as the first act and arranging the remaining 19 acts in any order.

Therefore, the probability can be calculated as:

Probability = (Number of favorable outcomes) / (Total number of possible outcomes)

= (6 * 19!) / 20!

The expression (6 * 19!) / 20! can be simplified by canceling out the common factors:

Probability = 6 / 20

Hence, the probability that a dancer performs first is 6/20, which simplifies to 3/10.

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how many ways could the yearbook choose the winners of most athletic, class clown, and best school spirit is 9240

What are series and sequence with an example?

For instance, if the sequence a1, a2, a3,...an... exists, then the series a1 + a2 + a3 +...an +... exists. The indicated sum of the terms in an arithmetic sequence is known as an arithmetic series. Think about the numbers 6, 9, 12, 15, and 18... S5 stands for the sum of the first five terms in this sequence.

We need to basically choose 3 out of 22 students and then assign them for different awards. Hence,

Number of ways

= 22P3

= 22! / (22 - 3)!

= 22! / 19!

= 9240

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The number of receptacles required in the classroom is 14.

To determine the number of receptacles required in a classroom, we need to consider the electrical code requirements for the room size and layout.

According to the National Electrical Code (NEC), there should be at least one duplex receptacle for every 12 linear feet of wall space in a classroom.

In addition, there should be at least one receptacle within 6 feet of each doorway and at least one receptacle on each wall space that is 2 feet or more in width.

Using this information and the dimensions provided, we can calculate the required number of receptacles as follows:

Calculate the perimeter of the room:

Perimeter = 2(Length + Width) = 2(36 + 24) = 120 feet

Calculate the total linear feet of wall space:

Total wall space = Perimeter - Width of door = 120 - 3 = 117 feet

Determine the number of receptacles required:

Number of receptacles = Total wall space / 12 + Number of doorways + Number of wall spaces wider than 2 feet

Number of doorways = 1 (as stated in the question)

Number of wall spaces wider than 2 feet = 2 (the two 24-foot-long walls)

Number of receptacles = (117 / 12) + 1 + 2 = 11 + 1 + 2 = 14

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The total earnings of the bus driver in a year is $28500.

A function, according to a technical definition, is a relationship between a set of inputs and a set of potential outputs, where each input is connected to precisely one output.

The bus driver works 2000 hours each year and makes $14 per hour.

If the bus driver gets $50 for each new recruit he hired.

Let y be his total earnings and x be the number of new drivers he recruits.

Then his total earnings can be represented by the function:

y = 14 × 2000 + 50 × x

If the bus driver recruits x = 7 new drivers.

y = 28000 + 50 × 7

y = 28000 + 350

y = $28350

The total earnings of the bus driver are $2850.

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