A company charges 15% interest at the end of each month for any amount owed on a credit card. How much interest will a person have to pay if their balance is $300.00?​

Answer:

We set up 2 equations:

n - m = 80 so "n" is the larger number

A) n - m = 80

B) m / n = .6

A) n = 80 + m

B) m = .6 n   so B) n = (5/3) m

We substitute B) into A)

(5/3) m = 80 + m

(2/3) m = 80

m = 1.5 * 80

m = 120

n = 200

Step-by-step explanation:

if a car used 1/64 of a gallon of gas to drive 1/4 of a mile, at this rate, the car can travel 16 miles using 1 gallon of gas.

The total distance that the car can travel using 1 gallon of gas is determined by proportions.

A proportion involves two ratios equated to each other.

By equating the rate (ratio) of gas usage to the number of miles traveled, we can determine the total distance when the car uses 1 gallon of gas, as follows:

The rate of gas usage per 1/4 mile = 1/64 gallons

For 1 gallon, the number of miles = 16 (1/4 x 64/1) or (0.25/0.015625

Based on proportions, we can conclude that at this gas usage rate, the car can travel 16 miles using only 1 gallon of gas.

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The height of the steeple is approximately 62 feet (rounded to the nearest foot).

Let x be the height of the steeple, and y be the height from the ground to the bottom of the steeple. The distance from the observer to the church is 120 feet.

Using the tangent function for angle A:

tan(A) = y / 120

tan(18.2) = y / 120

Solve for y:

y = 120 * tan(18.2) ≈ 40.76 feet

Using the tangent function for angle B:

tan(B) = (y + x) / 120

tan(24.4) = (40.76 + x) / 120

Solve for x:

x = 120 * tan(24.4) - 40.76 ≈ 61.92 feet

The height of the steeple is approximately 62 feet (rounded to the nearest foot).

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Answer:

i can't see those word very Well am confuse

Step-by-step explanation:

please Mark Me as brainly.

Answer: Convection

Step-by-step explanation: This is convection as hot air rises as its not heavy then sinks as it cools because cool air is heavier than warm air. I hope this helps you.

Answer:

convection

Step-by-step explanation:

Answer:

B. 8 inches and 5 inches

Step-by-step explanation:

Rectangles: opposite sides are parallel and equal and adjacent sides form right angles.

Since we need to round up to the next integer, the required sample size for this experiment is 284 people for the confidence level.

To find the required sample size for NASA's experiment, we can use the following formula for the sample size estimation in a proportion experiment:

\(n = (Z^2 * p * (1-p)) / E^2\)

where:
- n is the sample size
- Z is the z-score corresponding to the desired confidence level (85% in this case)
- p is the estimated population proportion (0.33)
- E is the margin of error (0.04)

First, we need to find the z-score for an 85% confidence level. We can look this up in a z-table, or use an online calculator. The z-score for an 85% confidence level is approximately 1.44.

Next, we can plug the values into the formula:
\(n = (1.44^2 * 0.33 * (1-0.33)) / 0.04^2\)
n ≈ (2.0736 * 0.33 * 0.67) / 0.0016
n ≈ 283.66

Since we need to round up to the next integer, the required sample size for this experiment is 284 people.

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A piecewise function is used that combines several functions at different intervals.

The domain of the function represented by f(x) = x + 1 is x > 1

The function f(x) = x + 1 is represented by the second line that has an open circle at (1,2) and continues to (3,4)

The open circle at point (1,2) means that, the x value at this point is not included in the domain of f(x) = x + 1

So, the domain of f(x) = x + 1 is x > 1

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Answer:

D

Step-by-step explanation:

Correct on Edge

Answer:

The acceleration of the box is;

Explanation:

Given;

Final velocity v = 30 m/s

initial velocity u = 0

time taken t = 3 seconds

Acceleration is the change in velocity per unit time.

The acceleration a can be calculated using the formula;

substituting the given values we have;

The acceleration of the box is;

The probability of (A and B) is 0.2356, the conditional probability of (A|B) is 0.31, the conditional probability of (B|A) is 0.76, and the probability of (A or B) is 0.8144.

Probability is a measure of the likelihood of a particular event occurring. It is expressed as a number between 0 and 1, where 0 indicates that an event is impossible and 1 indicates that an event is certain to occur.

When events A and B are independent, the probability of them occurring together is the product of their individual probabilities.

P(A and B) = P(A) * P(B) = 0.31 * 0.76 = 0.2356

P(A|B) = P(A and B) / P(B) = 0.2356 / 0.76 = 0.31 (It is same as P(A) because events A and B are independent)

P(B|A) = P(A and B) / P(A) = 0.2356 / 0.31 = 0.76 (It is same as P(B) because events A and B are independent)

P(A or B) = P(A) + P(B) - P(A and B) = 0.31 + 0.76 - 0.2356 = 0.8144

Therefore, the probability of (A and B) is 0.2356, the conditional probability of (A|B) is 0.31, the conditional probability of (B|A) is 0.76, and the probability of (A or B) is 0.8144.

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The correct option is a) $5161.24

To evaluate the expression P(1+rt) with the given values:

P = 1575

r = 0.055

t = 168/365

First, let's calculate rt:

rt = 0.055 * (168/365)

= 0.0252836 (rounded to 7 decimal places)

Now, substitute the values into the expression P(1+rt):

P(1+rt) = 1575 * (1 + 0.0252836)

= 1575 * 1.0252836

= 1615.85846 (rounded to 5 decimal places)

The result is approximately $1615.86.

Therefore, the correct option is a) $5161.24

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Answer:

David=$8.8

Jo=$13.2

Mary=$22

Step-by-step explanation:

2+3+5=10

44/10=4.4

David=4.4x2=$8.8

Jo=4.4x3=$13.2

Mary=4.4x5=$22

8.8+13.2+22=44

Answer: $10,000

Step-by-step explanation:

Given the following :

Profit if economy remains strong = $30,000

Profit if economy grows at moderate pace = $10, 000

Loss if economy goes into recession = $30,000

Probability that economy will remain strong = 20% = 0.2

probability the economy will grow at a moderate pace = 70% = 0.7

probability the economy will slip into recession = 10% = 0.1

Expected value = sum of (x * p(x))

Here expected value equals;

Strong economy profit = $30,000 * 0.2 = $6000

Moderate economy profit = $10,000 * 0.7 = $7000

Loss on Recession = $30,000 * 0.1 = $3000

Expected profit = $(6000 + 7000 - 3000)

Expected profit = $10,000

Answer:

A & C

Step-by-step explanation:

Factors of 18 : 1, 2, 3, 6, 9, 18

18

/\

2 9

/\

3 3

Prime factorization : 18 = 2x3x3

18

/\

3 6

/\

2 3

Prime factorization : 18 = 3x2x3

If A does not equal B, then the outcome of the formula =if(a1=b1, c1, c2) will be c2.

One of the most well-known Excel functions is certainly the IF one. The "IF Function" typically enables us to compare values logically to what we anticipate. This implies that an IF statement may produce one of two outcomes. If your comparison is True, the first result will be the case; if it is False, the second result will be the case.

Now, this indicates hat the IF function takes 3 arguments namely;

Comparing data or determining whether a condition is met is a logical test.

If this argument were defined, Excel would be instructed to return a specific value if the logical test's condition was satisfied.

if false, value.

From the above definitions when they are applied to the question, since a1 = b1, then we can say that the result can be c2 if A is not equal to B.

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Answer:

1/32 and 1/64

p and v

Step-by-step explanation:

Answer:

a. 1/32 then 1/64

b. P then V

Step-by-step explanation:

A is multiplied by 2 every time.

While b is doubled every time as well.

Answer:

1.125

Step-by-step explanation:

1 and 3/4 = 1.75

2 and 7/8 = 2.875

So

2.875 - 1.75 = 1.125

The correct answer is row number 16 since the sum is 65536 in

pascal's triangle which equals to the 2 power of 16 , that is 4th option.

Pascal's triangle, in algebra, a triangular arrangement of numbers that gives the coefficients in the expansion of any binomial expression, such as (x + y)n. This triangle is the triangular array of numbers that begins with 1 on the top and with 1's running down the two sides of a triangle. In any row of Pascal's triangle, the sum of the first, third, fifth, … numbers is equal to the sum of the second, fourth, sixth numbers.

(1+x)n=(n0)+(n1)x+(n2)x2+⋯+(nr)xr+⋯+(nn−1)xn−1+(nn)xn.

We know that , 2^16 = 65536

Therefore, the numbers come from the row number.16

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Answer:

a: 0.5 + 0.3 = 0.8

b: 2.7 + 28.2 = 30.9

c: 3.1 + 2.4 + 9.9 = 15.4

d: 15.2 + 1.4 + 0.8 = 17.4

e: 39.2 + 2.5 + 0.8 = 42.5

Step-by-step explanation:

I did the assignment and I got it right

The employee's yearly salary is calculated as $37,440 using the arithmetic operations.  

The employee earns $18 per hour and works 40 hours per week. To calculate the weekly salary, we multiply the hourly wage by the number of hours worked:

Weekly salary = Hourly wage × Hours worked per week

Weekly salary = $18/hour × 40 hours/week = $720

Next, to calculate the yearly salary, we use the multiplication operation the weekly salary by the number of weeks in a year:

Yearly salary = Weekly salary × Weeks in a year

Yearly salary = $720/week × 52 weeks/year = $37,440

Therefore, the employee's yearly salary is $37,440. This calculation assumes a 40-hour work week and 52 weeks in a year. It's important to note that this calculation does not account for overtime pay or any other additional benefits or deductions that may affect the employee's total annual income.

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EXPLANATION:

Given;

We are given a parallel pair of lines m and n, and a transversal that cuts both lines.

Required;

We are required to find the value of x.

Step-by-step solution;

When a pair of parallel lines are cut by a transversal, the angle formed by the point of intersection of one line and the transversal is equal to that formed by the other line and the transversal when they both lie on the same side of the transversal.

This means on the diagram given;

This means angle 167 on line n is equal to angle 167 on line m. These are called corresponding angles.

The same applies to angle x on the line m and the other angle on line n. They both are also corresponding angles.

Next, take note that angles that lie on either side of a vertex where two lines intersect are called vertically opposite angles (or just opposite angles).

Therefore, angle x = 167 and angle 167 = x.

ANSWER:

Answer:

Harry has a loan of $9000 in total. Harry obtained a loan from the bank. Explanation Harry's remaining debt, expressed in dollars, is modeled as a function of time t, expressed in months, by the function D(t). The role is played by, This function can be used to determine that $200 is being subtracted each month from the function, meaning Harry is paying $200 toward his loan. Harry has not yet made any payments, therefore we may set t=0 to obtain the total amount of his solo. Therefore, the value of D(t) will reveal the loan's net amount. Harry's borrowing, therefore, equals to $9000.

The percentage would be 7.94%.

In the 2012 US Presidential election, there were 126 million voters, and Barack Obama won with 51% of the votes. To determine the percentage of the final voters targeted with unique profiles through the big data project, we need more information about the project's objectives and scope.

The given information about the election outcome (Obama winning with 51% of the votes) is not directly related to the big data project's details. The big data project might have involved collecting and analyzing data from various sources to understand voter behavior, demographics, preferences, or other factors that could influence the election outcome. It could have targeted specific groups of voters with tailored messages, ads, or outreach campaigns based on the insights gained from the data analysis.

Without additional information about the big data project, such as the specific voter segments targeted or the goals of the project, we cannot calculate the percentage of final voters targeted with unique profiles. The percentage would depend on the project's goals and how many voters fell into the targeted segments. For example, if the project targeted 10 million voters out of the 126 million, the percentage would be 10 million / 126 million = 7.94%.

To determine the percentage accurately, we would need a comprehensive understanding of the big data project's methodology, data sources, and the specific criteria used to target voters with unique profiles. Only with this detailed information could we calculate the percentage of voters targeted by the big data project.

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Because the temperature is greater, the relative humidity of the atmosphere is higher.

Water vapor is also measured by relative humidity (RH), which is stated as a percentage but RELATIVE to the air's temperature. In plenty of other terms, it is a comparison between the quantity of water vapor that is really present in the air and the maximum amount water vapor that is possible for the air at the current temperature.

By deducting the temperature just on wet-bulb thermometer from of the temperature just on dry-bulb thermometers and utilizing a relative humidity chart, one may determine the relative humidity.

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Main Answer:The area of the right triangle is:4.5

Supporting Question and Answer:

How can we find the slope of the tangent line to a curve at a given point?

To find the slope of the tangent line to a curve at a given point, we can calculate the derivative of the function representing the curve and evaluate it at the x-coordinate of the given point. The resulting value will give us the slope of the tangent line at that point.

Body of the Solution:To find the area of the right triangle formed by the tangent line and the coordinate axes, we need to determine the length of the legs of the triangle.

Given that the tangent line is drawn to the graph of y = 4x/(1 + x^3) at the point (1, 2), we can find the slope of the tangent line at that point by taking the derivative of the function y with respect to x and evaluating it at x = 1.

Let's calculate the derivative:

dy/dx = [(1 + x^3)(d/dx)(4x) - 4x(d/dx)(1 + x^3)] / (1 + x^3)^2

= (4 + 4x^3 - 12x^3) / (1 + x^3)^2

Evaluating the derivative at x = 1:

dy/dx = (4 + 4(1)^3 - 12(1)^3) / (1 + (1)^3)^2

= (4 + 4 - 12) / (1 + 1)^2

=-4/4

=-1

Therefore, the slope of the tangent line at the point (1, 2) is -1.

Now, we can find the equation of the tangent line using the point-slope form, y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope.

Plugging in (x1, y1) = (1, 2) and m = -1:

y - 2 = (-1)(x - 1)

y - 2 = -x +1

y = -x + 3

To find the points where this line intersects the coordinate axes, we set y or x to zero:

For y-axis (x = 0):

0 = -x + 3

x = 3

For x-axis (y = 0):

y = -0+3

Y=3

We have three points: (0, 3), (3, 0), and (1, 2), which form a right triangle.

The lengths of the legs of the right triangle can be calculated using the distance formula. Let's calculate the lengths:

Length of the vertical leg = distance between (0, 3) and (0, 0) = |3 - 0| = 3 Length of the horizontal leg = distance between (3, 0) and (0, 0)

= |3 - 0| = 3

Now, we can calculate the area of the right triangle using the formula: Area = (1/2) * base * height.

Area = (1/2) * (3) * (3)

=9/2=4.5

Hence, the area of the right triangle formed by the tangent line and the coordinate axes is 4.5.

Final Answer:Therefore, the area of the right triangle formed by the tangent line and the coordinate axes is 4.5.

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The area of the right triangle is : 4.5

To find the slope of the tangent line to a curve at a given point, we can calculate the derivative of the function representing the curve and evaluate it at the x-coordinate of the given point. The resulting value will give us the slope of the tangent line at that point.

To find the area of the right triangle formed by the tangent line and the coordinate axes, we need to determine the length of the legs of the triangle.

Given that the tangent line is drawn to the graph of y = 4x/(1 + x^3) at the point (1, 2), we can find the slope of the tangent line at that point by taking the derivative of the function y with respect to x and evaluating it at x = 1.

Let's calculate the derivative:

dy/dx = [(1 + x^3)(d/dx)(4x) - 4x(d/dx)(1 + x^3)] / (1 + x^3)^2

= (4 + 4x^3 - 12x^3) / (1 + x^3)^2

Evaluating the derivative at x = 1:

dy/dx = (4 + 4(1)^3 - 12(1)^3) / (1 + (1)^3)^2

= (4 + 4 - 12) / (1 + 1)^2

=-4/4

=-1

Therefore, the slope of the tangent line at the point (1, 2) is -1.

Now, we can find the equation of the tangent line using the point-slope form, y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope.

Plugging in (x1, y1) = (1, 2) and m = -1:

y - 2 = (-1)(x - 1)

y - 2 = -x +1

y = -x + 3

To find the points where this line intersects the coordinate axes, we set y or x to zero:

For y-axis (x = 0):

0 = -x + 3

x = 3

For x-axis (y = 0):

y = -0+3

Y=3

We have three points: (0, 3), (3, 0), and (1, 2), which form a right triangle.

The lengths of the legs of the right triangle can be calculated using the distance formula. Let's calculate the lengths:

Length of the vertical leg = distance between (0, 3) and (0, 0) = |3 - 0| = 3 Length of the horizontal leg = distance between (3, 0) and (0, 0)

= |3 - 0| = 3

Now, we can calculate the area of the right triangle using the formula: Area = (1/2) * base * height.

Area = (1/2) * (3) * (3)

=9/2=4.5

Hence, the area of the right triangle formed by the tangent line and the coordinate axes is 4.5.

Therefore, the area of the right triangle formed by the tangent line and the coordinate axes is 4.5.

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Answer:

i dont know the answer but can i tell you what math is please dont get mad at me theres still someone who can give you the right answer

Step-by-step explanation:

Mental

Abuse

To

Humans

The algebraic expression for the volume of the right rectangular pyramid is (x/3) × (units²).

The volume of a right rectangular pyramid is given by the formula;

V = (1/3) × base area × height

In this case, the length and width of the base are given as units and units, respectively. Therefore, the area of the base is:

base area = units × units = units²

The height of the pyramid is given as x units. Therefore, the volume of the pyramid can be expressed as;

V = (1/3) × (units²) × x

Simplifying the expression, we get;

V = (x/3) × (units²)

Therefore, the algebraic expression for the volume of pyramid is (x/3) × (units²).

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By the principle of mathematical induction, we have proved that 1+1²+1³+1⁴+4-2^(n-2) = (5-2^(n-1)) for n ≥ 1.

Given sequence is {1, 1 1, 1 1 1, 1 1 1 1, 4 - 2^(n-2), ...(n terms)}

To prove: 1+1^2+1^3+1^4+4-2^(n-2) = (5-2^(n-1)) for n ≥ 1

Proof: For n = 1, LHS = 1+1²+1³+1⁴+4-2^(1-2) = 8 and RHS = 5-2^(1-1) = 5.

LHS = RHS.

For n = k, assume LHS = 1+1²+1³+1⁴+4-2^(k-2)

= (5-2^(k-1)) for some positive integer k.

This is our assumption to apply the principle of mathematical induction.

Let's prove for n = k+1

Now, LHS = 1+1²+1³+1⁴+4-2^(k-2) + 1+1²+1³+1⁴+4-2^(k-1)

= LHS for n = k + (4-2^(k-1))

= (5-2^(k-1)) + (4-2^(k-1))

= (5 + 4) - 2^(k-1) - 2^(k-1)

= 9 - 2^(k-1+1)

= 9 - 2^k

= 5 - 2^(k-1) + (4-2^k)

= RHS for n = k + (4-2^k)

= RHS for n = k+1

Therefore, by the principle of mathematical induction, we have proved that 1+1²+1³+1⁴+4-2^(n-2) = (5-2^(n-1)) for n ≥ 1.

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Thus,  the vector equation for the line segment is: r(t) = (4, -3, 5) + t(2, 7, -1), 0 ≤ t ≤ 1

To find the vector equation for the line segment from (4, -3, 5) to (6, 4, 4), we need to first find the direction vector and the position vector.

The direction vector is the difference between the two points:
(6, 4, 4) - (4, -3, 5) = (2, 7, -1)

Next, we need to choose a point on the line to use as the position vector. We can use either of the two given points, but let's use (4, -3, 5) for this example.

So the position vector is:
(4, -3, 5)

Putting it all together, the vector equation for the line segment is:
r(t) = (4, -3, 5) + t(2, 7, -1), 0 ≤ t ≤ 1

This equation gives us all the points on the line segment between the two given points. When t = 0, we get the starting point (4, -3, 5), and when t = 1, we get the ending point (6, 4, 4).

Any value of t between 0 and 1 gives us a point somewhere on the line segment between the two points.

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