you owe $31000 on student loans at an interest rate of 3.35% compounded monthly. You want to pay off the loan in 8 years. What will your monthly payments be? How much interest do you pay?

Answer:I believe it is at least that is what I would

Step-by-step explanation:

To find the volume of the solid, you need to calculate the area of each cross-section and then multiply that by the thickness of the section (which is the distance along the y-axis).

(a) Squares: The cross-sections are squares with sides of length y. The area of a square is side^2, so the area of each square is y^2. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the square cross-sections is y^2 * y

(b) Semicircles: The cross-sections are semicircles with radii of length y. The area of a semicircle is (pi * r^2) / 2 , so the area of each semicircle is (pi * y^2) / 2. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the semicircular cross-sections is (pi * y^2) / 2 * y

(c) Equilateral triangles: The cross-sections are equilateral triangles with side length of y. The area of an equilateral triangle is (s^2 * √3)/4. so the area of each equilateral triangle is (y^2 * √3) / 4. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the equilateral triangle cross-sections is (y^2 * √3) / 4 * y

(d) Semi-ellipses: The cross-sections are semi-ellipses whose heights are twice the lengths of their bases. The area of a semi-ellipse is πab/2, where a and b are the lengths of the semi-major and semi-minor axes respectively. Therefore the area of each semi-ellipse will be (πy^2)/2. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the semi-ellipse cross-sections is (πy^3)/2

It is important to note that this is a theoretical volume calculation, as the shape of the solid does not have a closed form representation by these functions, but rather, these are an approximation.

Also, for any of these volumes to be meaningful, we have to integrate over the range of the variable y, since it is bounded by the equations y=x, y=0 and x=1, the variable y is limited.

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It will take 15 days for the hair to grow from 12mm to 16.5mm

By "average rate" in this context, we mean the typical or usual amount of hair growth per unit of time, which is often measured in millimeters per day. This rate can vary slightly depending on factors such as age, gender, genetics, diet, and overall health.

Let's first find out how much the hair needs to grow by subtracting its initial length (12mm) from its target length (16.5mm):

16.5mm - 12mm = 4.5mm

Now we can divide this growth by the average rate of hair growth to find the number of days it will take to grow this much:

4.5mm ÷ 0.3mm/day = 15 days

Therefore, it will take 15 days for the hair to grow from 12mm to 16.5mm.

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Answer:

31/4

Step-by-step explanation:

The Mixed Number 7 3/4 can be changed into the improper fraction 31/4.

step 1: The denominator of the improper fraction will be 4, since the denominator of the original fraction is 4.

to find the improper fraction, multiply the denominator of the original fraction (4) by the whole number (7). 4x7=28 then add the numerator of the original fraction: 28+3=31. This tells you the numerator of the improper fraction will be 31.

The improper fraction is 31/4.

The score that is one and a half standard deviation is 182.

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

\(z=\frac{x-\mu}{\sigma} \\\\where\ x\ is\ raw\ score, \mu\ is\ mean, \sigma\ is\ standard \ deviation\)

Given that:

μ = 140, σ = 28. For a z score of 1.5(one and a half):

\(1.5=\frac{x-140}{28} \\\\x-140=42\\\\x = 182\)

The score that is one and a half standard deviation is 182.

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Answer:

a)30-1,2,3,5,6,10,15,30

b)20-1,2,4,5,10,20

Step-by-step explanation:

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Answer:

a) Common factors missing for 30 are 5 & 6

b) Common factors for 20:- 1, 2, 4, 5, 10, 20

Answer:

the line runs that aligns with the y-intercept

Step-by-step explanation:

Answer:

p= 1/3 or 0.33 repeating

Step-by-step explanation:

5-19p=-p-1

5=18p-1

6=18p

divide by 18

6/18 = 1/3 or 0.33 repeating

Answer:

-3

Step-by-step explanation:

First, isolate the like terms, and try to keep the variable positive:

Add p to both sides:

-1=5-9p+11p

Subtract 5 from both sides:

-6=-9p+11p

Combine like-terms:

-6=2p

Divide:

-3=p

I hope this helps! :D

Pls give thx and brainliest if I’m right!

Answer:

D. y=3x+4

This is the correct answer

Answer:

on the third column it should be tens and not ones.good job so far tho!

The vertices of ∆ABC are A (-2,5), B(-2,4), and C(-5, 3). If ∆ABC is reflected across the line y=-2 to produce the image ∆A’B’C, find the coordinates of the vertex A’ if ∆ABC is reflected across the line x= -2.

Answer:

-11/20 or -0.55

Step-by-step explanation:

1/5 = 4/20

3/4 = 15/20

4/20 - 15/20 = -11/20

Answer:

- 11/20

or

-0.55

Step-by-step explanation:

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Answer:the answer is The container on the left is made of 2 centimeters squared more plastic.

Step-by-step explanation:

i took the test

The container on the right is made of 2 centimeters squared more plastic.

The area of a three dimensional object on it's outer surface is called the surface area of the object.

Given two rectangular containers.

We have to find the surface area of both the containers.

Surface area of a rectangular prism = 2[(l × w) + (w × h) + (l × h)]

Here l, w and h are the length, width and height of the rectangular prism.

For the first rectangular prism,

Surface area = 2 [(5 × 4) + (4 × 7) + (5 × 7)] = 166 cm²

For the second rectangular prism,

Surface area = 2 [(4 × 3) + (3 × 10) + (4 × 10)] = 164 cm²

Hence the container on the right is made of 2 centimeters squared more plastic.

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Answer:

$16

Step-by-step explanation:

Answer:

6,280,036

This should be right.

Hi

2506² = 6.280.036

2506 × 2506 = 6.280.036

So answer: 6.280.036

I wish you success :)

Answer:

Stefan originally spent $110.

Stefan made a profit of $44.

Step-by-step explanation:

Given that:

Stefan sold the bike and helmet for $137 and $17

Total amount = 137+17 = $154

This is 140% of the price Stefan originally paid.

Let,

x be the original price paid by Stefan

140% of x = $154

\(\frac{140}{100}x=154\\1.4x = 154\\\frac{1.4x}{1.4}=\frac{154}{1.4}\\x=110\)

Therefore,

Stefan originally paid $110 for the bicycle and helmet.

Profit made by Stefan = 154-110 = $44

Hence,

Stefan originally spent $110.

Stefan made a profit of $44.

Answer: -27

Step-by-step explanation: Use inductive reasoning to predict the most probable next number in the list.

3, 9, -3, 3, -9, -3, -15, -9, -21, ?

We can start by looking at the differences between consecutive terms in the list:

9 - 3 = 6 -3 - 9 = -12 3 - (-3) = 6 -9 - 3 = -12 -3 - (-9) = 6 -15 - (-3) = -12 -9 - (-15) = 6 -21 - (-9) = -12

Notice that the differences alternate between positive 6 and negative 12. This suggests that the pattern involves adding 6, then subtracting 12, and then adding 6 again. Applying this pattern to the last term in the list (-21), we get:

-21 + 6 = -15 -15 - 12 = -27 -27 + 6 = -21

Therefore, we predict that the most probable next number in the list is -27.

Answer:

<SPQ = 110°

Step-by-step explanation:

<QRS = 110°

<SPQ = <QRS ( BEING OPPOSITE ANGLES OF PARALLELOGRAM)

<SPQ = 110°

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The equation for the relationship between the number of bracelets made and the number of beads is y = 21x.

First, the rate of change

= (483 - 210) / (23 - 10)

= 273 / 13

= 21

So, the equation for the relationship between the number of bracelets made and the number of beads used.

(y - 210) = 21 (x-  10)

y - 210 = 21x - 210

y = 21x

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Answer:

i dont understand- theres 3 ways u can put them tho 7:8 , 7 to 8 , or 7/8

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

using the Sine rule in Δ ABC

\(\frac{a}{sinA}\) = \(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)

where a is the side opposite ∠ A , b opposite ∠ B , c opposite ∠ C

we require to calculate ∠ C

∠ C = 180° - (64 + 85)° = 180° - 149° = 31°

then to find a , using

\(\frac{a}{sinA}\) = \(\frac{c}{sinC}\)

\(\frac{a}{sin64}\) = \(\frac{9.3}{sin31}\) ( cross- multiply )

a × sin31° = 9.3 × sin64° ( divide both sides by sin31° )

a = \(\frac{9.3sin64}{sin31}\) ≈ 16.23 ( to 2 decimal places )

then to find b , using

\(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)

\(\frac{b}{sin85}\) = \(\frac{9.3}{sin31}\) ( cross- multiply )

b × sin31° = 9.3 × sin85° ( divide both sides by sin31° )

b = \(\frac{9.3sin85}{sin31}\) ≈ 17.99 ( to 2 decimal places )

The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

Using Trigonometry, the value of x in the right triangle is 17.1

Since we have a right angle triangle ; The angle L can be obtained thus ;

L = 180 - (90+67)

L = 23

Using Trigonometry:

Sin23° = opposite/ hypotenuse

Opposite= 6.7

hypotenuse= x

Sin23° = 6.7/x

x = 6.7/sin(23°)

x = 17.14

Therefore, the value of x to the nearest tenth is 17.1

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Answer:

2 is 45 feet and 3 is 15. The formula is bhw/2

Step-by-step explanation:

answer :

2000

explanation :

When rounding to the nearest hundred, you need to use the following rules:

1 ) Round the number up to the nearest hundred if the last two digits in the number are 50 or above. The last two digits are "80" which is higher than 50, therefore you will round up, making 2000 your answer.

The mean is 0.477514 (rounded to 6 decimal places).

The standard deviation is 0.288919 (rounded to 6 decimal places).

To calculate the mean and standard deviation, we will use the following formulas:

Mean = (sum of all values) / (number of values)

Standard deviation = sqrt[(sum of (value - mean)^2) / (number of values)]

Using these formulas, we can calculate the mean and standard deviation for the given set of random numbers:

Mean = (0.937776 + 0.270012 + 0.243785 + 0.590701 + 0.824982 + 0.131805 + 0.879337 + 0.741998 + 0.254683 + 0.080259 + 0.419321 + 0.928220 + 0.958430 + 0.980182 + 0.263900 + 0.063119 + 0.762096 + 0.485612 + 0.662900 + 0.362242 + 0.724796 + 0.307736 + 0.305021 + 0.417052 + 0.054337 + 0.323357 + 0.069662 + 0.843387 + 0.353107 + 0.074262 + 0.735596 + 0.175095 + 0.390508 + 0.668932 + 0.029861 + 0.205228 + 0.387740 + 0.962169 + 0.646565 + 0.423914 + 0.754782 + 0.156719 + 0.773113 + 0.546335 + 0.323573 + 0.649740 + 0.214082 + 0.382383 + 0.383982 + 0.030539) / 50 = 0.477514

Therefore, the mean is 0.477514 (rounded to 6 decimal places).

Now we will calculate the standard deviation:

Standard deviation = sqrt[((0.937776 - 0.477514)^2 + (0.270012 - 0.477514)^2 + (0.243785 - 0.477514)^2 + ... + (0.382383 - 0.477514)^2 + (0.383982 - 0.477514)^2 + (0.030539 - 0.477514)^2) / 50] = 0.288919

Therefore, the standard deviation is 0.288919 (rounded to 6 decimal places).

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The best estimate of how much she will spend on movies and eating out is given as follows:

$162.

The best estimate of how much she will spend on movies and eating out is obtained applying the proportions in the context of the problem.

The percentages associated with movies and eating out are given as follows:

The amount that she has left is given as follows:

$300.

Hence the best estimate of how much she will spend on movies and eating out is obtained as follows:

(0.3 + 0.24) x 300 = 0.54 x 300 = $162.

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Answer:

The value \(P(F\ n \ J) = 0.05\)

The answer is No

Step-by-step explanation:

From the question we are told that

The probability a person is a jogger is \(P(J) = 21.9 \% = 0.219\)

The probability that a person is female given that she jogs is \(P(F|J) = 21.9 \% = 0.219\)

Generally the probability that a randomly selected person aged 20 years or older is female and jogs? Would it be unusual to randomly select a person aged 20 years or older who is female and jogs is mathematically represented as

\(P(F\ n \ J) = P(J)* P(F|J)\)

=>    \(P(F\ n \  J) = 0.219* 0.219\)

=>    \(P(F\ n \  J) = 0.05\)

Given that the probability is  equal to 0.05 then it is not unusual