How many times does 37 go in 2331 with a remainder

The final amount due on the loan after the partial payment is approximately $13,070.41 (rounded to the nearest cent).

To calculate the final amount due on the loan, we need to consider the principal amount, the interest accrued, and the partial payment made.

Given information:

Principal amount: $13,500

Interest rate: 11% (per year)

Loan period: 180 days

Partial payment: $1,000

Partial payment date: 50 days

First, let's calculate the interest accrued on the loan from the loan start date to the partial payment date:

Interest accrued = Principal amount * Interest rate * (Number of days / 365)

Interest accrued = $13,500 * 11% * (50 / 365)

Interest accrued ≈ $201.37

Next, let's calculate the remaining principal balance after the partial payment:

Remaining principal balance = Principal amount - Partial payment

Remaining principal balance = $13,500 - $1,000

Remaining principal balance = $12,500

Now, let's calculate the interest accrued on the remaining principal balance for the remaining loan period (180 - 50 days):

Interest accrued = Remaining principal balance * Interest rate * (Number of days / 365)

Interest accrued = $12,500 * 11% * (130 / 365)

Interest accrued ≈ $570.41

Finally, we can calculate the final amount due on the loan by adding the remaining principal balance and the interest accrued:

Final amount due = Remaining principal balance + Interest accrued

Final amount due = $12,500 + $570.41

Final amount due ≈ $13,070.41

Therefore, the final amount due on the loan after the partial payment is approximately $13,070.41 (rounded to the nearest cent).

Learn more about loan here

https://brainly.com/question/30130621

#SPJ11

The midpoint Riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width is 9980

The midpoint Riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width is calculated by summing the area of each subinterval under the midpoint of the interval.

The formula for the midpoint Riemann sum is given by:

Sum = (width of interval) * (height of midpoint)

For this problem, since the width of each interval is 16/4 = 4, the midpoint Riemann sum is calculated by:

Sum = 4 * (1 + (16/4)^3 + (32/4)^3 + (48/4)^3)

Substituting the values for each midpoint, we get the following equation:

Sum = 4 * (1 + 4^3 + 8^3 + 12^3)

This simplifies to:

Sum = 4 * (1 + 64 + 512 + 1728)

Therefore, the midpoint Riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width is:

Sum = 4 * (2495)

Sum = 9980

Learn more about Riemann sum here:

https://brainly.com/question/30241844

#SPJ4

The correct answer is d) 0.8203. To compute the probability P(X < 65) for a normally distributed random variable X with a mean (μ) of 54 and a standard deviation (σ) of 12, we can use the standard normal distribution.

First, we need to standardize the value 65 using the formula:

Z = (X - μ) / σ

Substituting the values, we have:

Z = (65 - 54) / 12

Z = 11 / 12

Z ≈ 0.9167

Next, we look up the probability associated with the standardized value Z = 0.9167 in the standard normal distribution table or use a calculator. The table or calculator will provide the probability corresponding to the area to the left of Z.

The probability P(X < 65) is the same as the probability of Z < 0.9167.

Looking up the value in the standard normal distribution table or using a calculator, we find that the probability P(Z < 0.9167) is approximately 0.8203.

Therefore, the correct answer is d) 0.8203.

Learn more about probability here:

brainly.com/question/17018366

#SPJ11

If the null hypothesis is rejected when it is actually true, a Type I error would be committed (A).

In hypothesis testing, there are two types of errors: Type I and Type II. A Type I error occurs when the null hypothesis is rejected even though it is true, leading to a false positive conclusion.

On the other hand, a Type II error occurs when the null hypothesis is not rejected when it is actually false, leading to a false negative conclusion. In this scenario, since the null hypothesis is true and if it were to be rejected, the error committed would be a Type I error (A).

To know more about null hypothesis click on below link:

https://brainly.com/question/19263925#

#SPJ11

Answer:

6 and 9

Step-by-step explanation:

Because if 6 is substituted,

And if 9 is substituted,

First off, no sides have the same length as the others, so it cannot be an equilateral or an isoceles triangle, as it would required at least 2 sides to have the same length.

So, we're left with scalene triangle options.

There is an angle that is an obtuse angle (as it is more than 90 degrees and less than 180 degrees), so this is a scalene obtuse triangle.

Answer:

3.44 cm

Step-by-step explanation:

When the pendulum is at its lowest point, the vertical length of the pendulum is L.

When the pendulum is at its highest point, the vertical length of the pendulum is  L cos θ.

So the height difference of the pendulum between its lowest and highest points is h = L − L cos θ.

The pendulum swings 72° from right to left, or 36° from the vertical.

The length of the pendulum is 18 cm.

So the height is:

h = L − L cos θ

h = 18 − 18 cos 36°

h = 3.44

Answer:

cheeto

Step-by-step explanation:

bR

The expression as a sum or difference of logarithm is log(x^3) + log(√x + 1) - 2log(x - 2)

The expression is given as:

log [x^3 square root x 1/(x-2)^2

Rewrite properly as:

log [x^3 √x + 1/(x-2)^2]

Express the above expression as products and quotients

log [x^3 * √x + 1/(x-2)^2]

Apply the product and quotient of logarithm

log(x^3) + log(√x + 1) - log(x - 2)^2

Rewrite  as:

log(x^3) + log(√x + 1) - 2log(x - 2)

Hence, the expression as a sum or difference of logarithm is log(x^3) + log(√x + 1) - 2log(x - 2)

Read more about logarithmic expression at

https://brainly.com/question/247340

#SPJ4

Step-by-step explanation:

-3p+6p is 3p

-3 + 6 = 3

So when you simplify the equation you get 3p

The number of text messages that would result in the same cost per month is 200 text messages.

Based on the information provided above, Pay Per Text Plan charges $10 per month and $0.10 for each text message. Therefore, the total cost, y, can be represented by this equation:

y = 0.10x + 10    .......equation 1.

where:

x represents the number of text messages.

Based on the graph for the Frequent Text Plan, the total cost, y, can be represented by this equation:

y = x(25 - 20)/100 + 20 = 0.05x + 20 ....equation 2.

By equating equation 1 and equation 2, we have the following:

0.05x + 20 = 0.10x + 10

0.10x - 0.05x = 20 - 10

0.05x = 10

x = 10/0.05

x = 200 text messages.

Read more on equation here: brainly.com/question/18912929

#SPJ1

Complete Question:

A customer is comparing two different text message plans at Cellular Bargains. He wants to find out which plan allows the most text messages for the same cost. The Pay Per Text Plan charges $10 per month and $0.10 for each text message. The Frequent Text Plan is modeled by the graph shown above. How many text messages would result in the same cost per month for the two plans?

Answer:

72mm

Step-by-step explanation:

it is 72mm because there are 6 cubes and they each are 12mm so you do 6*12 witch is 72

Let n =  number of months both have their services

Provider A:

C = 35.50n + 55

Provider B:

B = 35.50n

Provider A will always cost more than

provider B because of the $55 installation fee

The coordinate of the centroid of the given triangle will be at (-2.33,5).

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The given triangle with vertices has been drawn.

The midpoint of H( – 6, 3) and F(1, 5) will be as,

x = (-6 + 1)/2 = -2.5

y = (3 + 5)/2 = 4 so D(-2.5,4)

The coordinate of the centroid will intersect 2:1 of the median from the vertex side.

Thus by intercept formula,

x = (2 × -2.5 + 1 × -2)/(2 + 1) and y = (2 × 4 + 1 × 7)/(2 + 1)

x = -2.33 and y = 5

So the coordinate of vertices will be (-2.33,5).

Hence "The specified triangle's centroid's coordinate will be at (-2.33,5)".

For more about triangles,

https://brainly.com/question/2773823

#SPJ1

Answer:

y=4x

Step-by-step explanation:

Answer:

y=5x

Step-by-step explanation:

If 75 grams of ice cream contains 10 grams of fat, then 150 grams of ice cream would contain 20 grams of fat. The amount of fat is directly proportional to the weight of the ice cream.


We can set up a proportion to solve the problem. Let x represent the unknown amount of fat in 150 grams of ice cream. According to the given information, we have the proportion:
10 grams of fat / 75 grams of ice cream = x grams of fat / 150 grams of ice cream
To solve for x, we can cross-multiply and then divide:
10 * 150 = 75 * x
1500 = 75x
X = 1500 / 75 = 20
Therefore, 150 grams of ice cream would contain 20 grams of fat. This is because the ratio of fat to ice cream remains constant, so we can use this proportion to find the missing value.

Learn more about Ratio here: brainly.com/question/13419413
#SPJ11

The area of polygon A would be a fraction 1/25 of the size of polygon B.

Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions on the actual figure or object

The formula of the scale factor is shown as;

Area of Polygon B = (scale factor)²×(Area of Polygon A).

Using a scale factor of 5, we get

(Area of Polygon B)  = (5)²× (Area of Polygon A)

(Area of Polygon B) = (25) × (Area of Polygon A)

Area of Polygon A = (1/25) × Area of Polygon B

Therefore, the area of polygon A would be a fraction 1/25 of the size of polygon B.

Learn more about Scale images here:

brainly.com/question/13194929

#SPJ1

Answer:

Step-by-step explanation:

Values that make the inequality true:

-7 , -7.1  ; -8 ; -12

-u ≥ 7

Multiply the entire inequality by (-1)

u ≤ -7

When we multiply an inequality by a negative number, the ≥ will reverse to ≤.

Answer:

\(x + 2x + 34 + 20 = 180 \)

Answer:

x=42

Step-by-step explanation:

Statement Reason

1. m∠AOB = 180° —  Def. of straight ∠

2. m∠AOE + m∠EOF + m∠FOB = m∠

AOB      —-    Parts − whole Postulate

3. x + 2x+34° + 20° = 180°  —-   Substitution

4. x = 42°.  —- Algebra

This is statement and reason! (no problem rsm people)

Answer:

y = -7

Step-by-step explanation:

A horizontal line has an equation of the form

y = b,

where b = y-intercept

The y-intercept is -7, so the equation is

y = -7

Answer:

Y=-7

Step-by-step explanation:

No matter what x equals, y has to be equal to negative 7. For example i chose 3 to by X, the equation would still be (3,-7).

The mean GPA is greater than 2.75.

To find the GPA:

Therefore, the mean GPA is greater than 2.75.

Know more about GPA here:

https://brainly.com/question/17010398

#SPJ4

Answer:

apple costs $0.40 , banana costs $0.30

Step-by-step explanation:

let a represent apples and b represent bananas , then

4a + 3b = 2.5 → (1)

3a + 4b = 2.4 → (2)

multiplying (1) by 4 and (2) by - 3 and adding will eliminate b

16a + 12b = 10 → (3)

- 9a - 12b = - 7.2 → (4)

add (3) and (4) term by term to eliminate b

7a + 0 = 2.8

7a = 2.8 ( divide both sides by 7 )

a = 0.4

substitute a = 0.4 into either of the 2 equations and solve for b

substituting into (1)

4(0.4) + 3b = 2.5

1.6 + 3b = 2.5 ( subtract 1.6 from both sides )

3b = 0.9 ( divide both sides by 3 )

b = 0.3

(i) one apple cost $0.40

(ii) one banana costs $0.30

Answer:

(i) One apple = $0.40

(ii) One banana = $0.30

Step-by-step explanation:

Given information:

Define the variables:

Create two equations with the given information and defined variables:

  \(\textsf{Equation 1}: \quad 4x+3y=2.50\)

  \(\textsf{Equation 2}: \quad 3x+4y=2.40\)

Multiply the first equation by 4:

\(\implies 4 \cdot 4x+4 \cdot 3y=4 \cdot 2.50\)

\(\implies 16x+12y=10.00\)

Multiply the second equation by 3:

\(\implies 3 \cdot 3x + 3 \cdot 4y = 3 \cdot 2.40\)

\(\implies 9x + 12y = 7.20\)

Subtract the equations to eliminate the term in y:

\(\begin{array}{crcccc}& 16x & + & 12y & = & 10.00\\-& (9x & + & 12y & = & 7.20)\\\cline{2-6} & 7x & & &=&2.80\\\end{array}\)

Solve for x:

\(\implies 7x=2.80\)

\(\implies \dfrac{7x}{7}=\dfrac{2.80}{7}\)

\(\implies x=0.40\)

Therefore, the cost of one apple is $0.40.

Substitute the found value of x into one of the equations and solve for y:

\(\implies 4x+3y=2.50\)

\(\implies 4(0.40)+3y=2.50\)

\(\implies 1.60+3y=2.50\)

\(\implies 1.60+3y-1.60=2.50-1.60\)

\(\implies 3y=0.90\)

\(\implies \dfrac{3y}{3}=\dfrac{0.90}{3}\)

\(\implies y=0.30\)

Therefore, the cost of one banana is $0.30.

Answer:

what is this ...is this really a question

The solutions of the equation 2sinθ - 1 = 0 in the interval (0, 2π) are θ = π/6 and θ = 13π/6.

To find all solutions of the equation 2sinθ - 1 = 0 in the interval (0, 2π), we can solve for θ by isolating the sine term and then using inverse sine (arcsin) to find the angles.

Start with the equation: 2sinθ - 1 = 0.

Add 1 to both sides of the equation: 2sinθ = 1.

Divide both sides by 2: sinθ = 1/2.

Take the inverse sine (arcsin) of both sides: θ = arcsin(1/2).

The inverse sine (arcsin) of 1/2 is π/6, so we have one solution θ = π/6.

However, we need to find all solutions in the interval (0, 2π). Since the sine function has a periodicity of 2π, we can add 2π to the solution to find additional solutions.

Adding 2π to π/6, we get θ = π/6 + 2π = π/6, 13π/6.

Know more about equation here;

https://brainly.com/question/29538993

#SPJ11

Answer:

C ) 4 x + 8

Step-by-step explanation:

( 24 x + 48 ) / 6

4 x + 48

The length of a regular hexagon is:

4x ₊ 8

How many sides do a hexagon have? How do we calculate the length and parameter of it?

A regular hexagon have six sides.

The area of a regular hexagon can be calculated using the formula (33 s2)/2, where s is the side length. The lengths of all six sides of a hexagon can be added to determine its perimeter. Perimeter = 6 s, where s is the length of one side, is the formula used to determine the size of a regular hexagon.

Solution:

Given,

parameter of a hexagon = 24x ₊ 48

length of one side of a hexagon s = p ÷ 6

                                                  s = 24x ₊ 48 ÷6

                                                  s = 4x ₊ 8

Hence we get the length of one side as 4x ₊ 8

Learn more about "shapes" here-

brainly.com/question/25965491

#SPJ2

This is because the cumulative frequency column allows you to easily see the total number of students that have chosen a certain major.

Yes, it would make sense to include a cumulative frequency column in your frequency table.

This is because the cumulative frequency column allows you to easily see the total number of students that have chosen a certain major.

For example, if the cumulative frequency for Biology is 30, you can see that 30 students have chosen that major. This can be beneficial for further analysis.

Learn more about cumulative frequency

brainly.com/question/30087370

#SPJ11

The probability that out of 8 newly hired people is 3.2.

According to the statement

we have given that the some conditions and based on these conditions we have to find the probability that out of 8 newly hired people.

So, For this purpose,

we have given that the

new employee in a fast-food chain still being with the company at the end of the year is  0.5

Now, we See that is probability of remaining with the company.

There is only one is 0.5.

According to the probability law

P + Q = 1

and this become

Q = 1 - 0.60.

And the probability of one people hired is Q.

Then

Q = 0.4

And probability that out of 8 newly hired people is

8Q = 0.4 * 8

it become 3.2.

So, The probability that out of 8 newly hired people is 3.2.

Learn more about probability here

https://brainly.com/question/24756209

#SPJ1