Find the exact volume of a cylinder with radius 4 ft. and height 10 ft.

Answers

Answer 1
The answer is 502.65ft^3

Related Questions

The time it takes to preform a task has a continuous uniform distribution between 43 min and 57 min. What is the the probability it takes between 48 and 49.9 min. Round to 4 decimal places. P(48 < X < 49.9) =

Answers

The probability of the task taking between 48 and 49.9 minutes is 0.1357 or 13.57% (rounded to four decimal places).

To calculate this probability, we first need to find the total probability of the entire range between 43 and 57 minutes. This can be found by subtracting the lower bound from the upper bound and dividing by the total range:

P(43 < X < 57) = (57 - 43) / (57 - 43) = 1

Since the probability of the entire range is 1, we can find the probability of any sub-interval by dividing the length of the sub-interval by the length of the total range. Therefore, the probability of the task taking between 48 and 49.9 minutes is:

P(48 < X < 49.9) = (49.9 - 48) / (57 - 43) = 1.9 / 14 = 0.1357 or 13.57%

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Anna took a job that paid $116 the first week. She was guaranteed a raise of 7% each week. How much money will she make in all over 10 weeks? Round the answer to the nearest cent, and number answer only.

Answers

Anna will make  $1602.71 in all over 10 weeks.

Here, the first week salary of Anna = $116

i.e., the initial salary a =  $116

She was guaranteed a raise of 7% each week.

so, her salary in the next week would be,

116 + 7% of 116

7 percent of 116 is:

116 × 7/100 = 8.12

so, her salary will be $124.12

So, the equation for the salary after 'm' weeks would be,

[tex]n = 116\times (1 + 0.07)^{m - 1}\\\\n = 116\times (1 .07)^{m - 1}[/tex]

Using this equation , the salary in the second week m = 2 would be,

n = 124.12

Salary in the third week m = 3 would be,

n = 116 × [tex](1.07)^{3-1}[/tex]

n = 132.81

Salary in the fourth week m = 4 would be,

n = 116 × [tex](1.07)^{4-1}[/tex]

n = 142.11

Salary in the fifth week m = 5 would be,

n = 116 × [tex](1.07)^{5-1}[/tex]

n = 152.05

Salary in the sixth week m = 6 would be,

n = 116 × (1.07)⁶⁻¹

n = 162.7

Salary in the seventh week m = 7 would be,

n = 116 × (1.07)⁷⁻¹

n = 174.08

Salary in the eighth week m = 8 would be,

n = 116 × (1.07)⁸⁻¹

n = 186.27

Salary in the nineth week m = 9 would be,

n = 116 × (1.07)⁹⁻¹

n = 199.31

And the salary after the tenth week m = 10 would be,

n = 116 × (1.07)¹⁰⁻¹

n = 213.26

The total money after 10 weeks would be,

T = 116 + 124.12 + 132.81+ 142.11 + 152.05 + 162.7 + 174.08 + 186.27 + 199.31 + 213.26

T = $1602.71

This is the required amount.

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Help. I need game credits for GMM

Answers

The difference of p and z times the sum of p and z is p² - 2pz - z².

How to represent expression?

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations such as addition, subtraction, division and multiplication.

Hence, the difference of p and z times the sum of p and z can be represented as follows:

Therefore,

(p - z) × (p + z) = (p - z) (p + z)

(p - z) (p + z)  = p² - pz - pz - z²

p² - pz - pz - z² = p² - 2pz - z²

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The sum of four consecutive integers is 250. What is the greatest of these integers?

Answers

The greatest of the given integers is 64.

Given that, the sum of four consecutive integers is 250. We need to find what is the greatest of these integers.

Let the consecutive integers be = x, x+1, x+2, x+3

Therefore,

x + x+1 + x+2 + x+3 = 250

4x + 6 = 250

2x + 3 = 125

2x = 122

x = 61

Therefore, the greatest integer = 61 + 3 = 64

Hence, the greatest of the given integers is 64.

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Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2, select the statement that could be true for h. A. h(2) = 16 B. h(8) = 21 C. h(13) = 18 D. h(-3) = -1

Answers

The statement that could be true for h is h(2) = 16.

Option A is the correct answer.

We have,

The function h has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25, and we know that h(8) = 19 and h(-2) = 2.

To determine which statement could be true for h, we can use the given domain and range, along with the two known function values, to narrow down the possible values of h(x) for different values of x.

h(2) = 16

We do not have enough information to determine whether this statement could be true or not.

It is possible that h(2) = 16, but it is also possible that h(2) could be a different value within the range of 1 ≤ h(x) ≤ 25.

h(8) = 21

This statement cannot be true, as we already know that h(8) = 19.

h(13) = 18

This statement cannot be true, as 13 is outside the given domain of -3 ≤ x ≤ 11.

h(-3) = -1

This statement cannot be true, as -1 is outside the given range of 1 ≤ h(x) ≤ 25.

Therefore,

The statement that could be true for h is h(2) = 16.

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If the amount of food available is increased, then the cricket frog population will (increase/decrease/stay the same) over the span of five years.

Answers

It will increase if we don’t take other factors into consideration
It is difficult to determine the impact of an increase in food availability on the cricket frog population without additional information. Other factors such as predation, disease, and competition for resources can also affect the population size. Therefore, I cannot provide a definitive answer.

Oliver did the high jump three times. His scores were 7.016 feet, 5.42 feet, and 8.308 feet. How many feet did he jump in total? pleas help im in test

Answers

The total height of the three jumps is A = 20.744 feet

Given data ,

1st high jump score: 7.016 feet

2nd high jump score: 5.42 feet

3rd high jump score: 8.308 feet

On adding the scores , we get

7.016 + 5.42 + 8.308 = 20.744 feet

On simplifying the equation , we get

A = 20.744 feet

Hence , Oliver jumped a total of 20.744 feet in the three high jumps

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In △ABC, AB=6 cm, AC=15 cm, and m∠A=48°.



What is the area of △ABC?



Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

Answers

The area of triangle ABC is :  33.44 cm²

What is the Area of a Triangle?

The area of a triangle is the region enclosed within the sides of the triangle. The area of a triangle varies from one triangle to another depending on the length of the sides and the internal angles. The area of a triangle is expressed in square units, like, m2, cm2, in2, and so on.

We have the information from the question is:

In triangle ABC :

AB=6 cm,

AC=15 cm, and

m ∠A=48°.

We have to find the area of Triangle ABC

Area of triangle is : 1/2 × bc × (SinA)

Area of Triangle = 1/2 × 6 × 15 × (Sin 48° )

We know the value of Sin 48° is 0.7431

Area of Triangle = (1/2) × 66.88

Area of triangle = 33.44 cm²

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$18,389
is invested, part at 10%
and the rest at 8%
. If the interest earned from the amount invested at 10%
exceeds the interest earned from the amount invested at 8%
by $621.02
, how much is invested at each rate? (Round to two decimal places if necessary.)

Answers

Let x be the amount invested at 10% and y be the amount invested at 8%. We know that:

x + y = 18389 (equation 1)
0.10x - 0.08y = 621.02 (equation 2)

From equation 1, we can solve for y:

y = 18389 - x

Substituting this into equation 2, we get:

0.10x - 0.08(18389 - x) = 621.02

0.10x - 1471.12 + 0.08x = 621.02

0.18x = 2092.14

x = 11623

Substituting this back into equation 1, we get:

11623 + y = 18389

y = 6766

Therefore, $11623 is invested at 10% and $6766 is invested at 8%.

A girl is three years older than her brother. If their combined age is 35 years, how old is each?

Answers

Answer: The brother is 16 and she is 19.

Step-by-step explanation:

35 - 3 = 32

32 / 2 = 16

16 + 3 = 19

The value of the expression 0.738 divided by 8.2 is between which two numbers?
A) 0.06 and 0.08 B) 0.08 and 0.1 C) 0.1 and 0.5 D) 0.7 and 1

Answers

To estimate the value of 0.738 divided by 8.2, we can round both numbers to one decimal place:

0.738 ≈ 0.7
8.2 ≈ 8.0

Then we can divide 0.7 by 8.0:

0.7 / 8.0 ≈ 0.0875

So the value of the expression is approximately 0.0875. This is between the values in answer choice B, 0.08 and 0.1. Therefore, the answer is B) 0.08 and 0.1.

Answer:

B) 0.08 and 0.1

The answer was 0.09, which is between 0.08 and 0.1

The parallel dotplots below display the number of absences for students in each of two classes.

2 dotplots titled class absences. The number lines go from 0 to 10 and are labeled number of absences. Class D, 0, 7; 1, 11; 2, 4; 3, 3. Class C, 0, 8; 1, 10, 2, 4; 3, 1; 5, 1; 10, 1.

Which of the following statements is true?

The range for the distribution of the number of absences is larger for class D.
The range for the distribution of the number of absences is larger for class C.
The IQR for the distribution of the number of absences is larger for class D.
The IQR for the distribution of the number of absences is larger for class C.

Answers

To compare the range and the IQR (Interquartile range) for the distribution of the number of absences between Class C and Class D, we can use the given dotplots:

+-------+---+---+---+---+--+--+--+
| Class D | + |
+-------+---+---+---+---+--+--+--+
| Class C | + |
+-------+---+---+---+---+--+--+--+
0 1 2 3 4 5 6 7 8 9 10

- The range is the difference between the highest and lowest observations in each class.

Range for Class D: 11 - 0 = 11
Range for Class C: 10 - 0 = 10

Therefore, the statement "The range for the distribution of the number of absences is larger for class D" is true.

- The IQR is the difference between the third quartile (Q3) and the first quartile (Q1).

Q1 for Class D is 2 and Q3 for Class D is 7. Therefore, IQR for Class D is 7 - 2 = 5.

Q1 for Class C is 1 and Q3 for Class C is 8. Therefore, IQR for Class C is 8 - 1 = 7.

Therefore, the statement "The IQR for the distribution of the number of absences is larger for class C" is true.
Final answer:

The range, difference of maximum and minimum values, is larger for Class C with a range of 10 compared to Class D with a range of 3. The data provided is not sufficient to calculate the IQR (Interquartile Range) for either class.

Explanation:

To begin, let's understand what the terms 'range' and 'IQR' (Interquartile Range) refer to in statistics. The range is simply the difference between the largest and smallest data values. The IQR is the range of the middle 50% of the values when ordered from lowest to highest.

For Class D, the lowest absence number is 0 and the highest is 3, thus the range is 3-0 = 3. For Class C, the lowest absence number is 0 and the highest is 10, so the range is 10-0 = 10. Thus, the range for the distribution of absences is larger for Class C.

Calculating IQR requires determining the 1st Quartile (Q1) and 3rd Quartile (Q3) values and subtracting Q1 from Q3. The data given doesn't include enough information to directly calculate these values and hence, it is impossible to definitively say which class has a larger IQR based on the provided information.

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sage team brought 224 cans they brought 3 times cans as asifs team joes team brought 4 times as asifs team how much cans did joes team bring in

Answers

The number of cans brought by Joes team is J = 299 cans

Given data ,

Let the number of cans brought by Joes team be J

Now , sage team brought 224 cans

And , sage team brought 3 times cans as asifs team

And , joes team brought 4 times as asifs team

On simplifying the equation , we get

Asif's team brought 224/3 = 74.67 (rounded to the nearest whole number) cans.

Joe's team brought 74.67 x 4 = 298.68

So , J = 299 cans

Hence , the equation is solved and J = 299 cans

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What is the solution to this system?

(1, 0)
(1, 6)
(8, 26)
(8, –22)


x = –2

Answers

Answer:

Step-by-step explanation:The system of equations represented by the given points is:1x + 0y = 1   (equation 1)

1x + 6y = 1   (equation 2)

8x + 26y = 1  (equation 3)

8x - 22y = 1  (equation 4)

We can use the first equation to solve for x in terms of y:1x + 0y = 1

1x = 1

x = 1

Then we can substitute x=1 into equations 2-4 to obtain three equations in terms of y:1(1) + 6y = 1    =>   6y = 0   =>   y = 0

8(1) + 26y = 1   =>   26y = -7/8   =>   y = -7/208

8(1) - 22y = 1   =>   -22y = -7/8 - 7   =>   y = 15/44

Therefore, the solution to the system is x = 1 and y = -7/208 or y = 0 or y = 15/44.

However, we are given that x = -2, which contradicts our solution of x = 1. Therefore, there is no solution to the system with the given values.

I don’t understand how to solve and find the system here. Please help, I need it to be done in three hours.

Answers

The system of equations in the context of this problem is given as follows:

5h + 3c = 340.2h + 6c = 400.

The solution is given as follows:

h = 35, c = 55.

How to model the system of equations?

The variables used for the system of equations are given as follows:

Variable h: Amount earned with a haircut.Variable c: Amount earned with a color treatment.

Considering the Monday's earnings, the equation is given as follows:

5h + 3c = 340.

Considering the Wednesday's earnings, the equation is given as follows:

2h + 6c = 400.

Hence the system is:

5h + 3c = 340.2h + 6c = 400.

Simplifying the second equation by 2, we have that:

h + 3c = 200.

Subtracting the first equation by the second, we can obtain the value of h as follows:

4h = 140

h = 140/4

h = 35.

Hence the value of c is given as follows:

c = (200 - 35)/3

c = 55.

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32 T W Proving Triangle Congruent; determine if AAS, SAS, SSS, HL, ASA

Answers

10: HL

11: AAS

12: SSS

13: SSS

14: HL

15: AAS

16: AAS

17: HL

18: AAS

19: SAS

20 AAS

1: SAS

2: ASA

3: HL

4: HL

5: ASA

6: ASA

7: HL

8: SSS

9: HL

PLEASE HELP (WILL GIVE BRAINLIEST)

Answers

Answer:

$5.50(2/3)π(6.5^3) = $3,163.45

$5.50(2/3)(3.14)(6.5^3) = $3,161.85

$3,161.85 is the correct answer.

use the product to rewrite log16(256b)

Answers

Log₁₆(256b) in terms of the logarithm of b, which is the factor that was multiplied by 256 inside the logarithm is  2 + log₁₆(b)

We can use the product rule of logarithms, which states that the logarithm of a product is equal to the sum of the logarithms of the factors.

Therefore, we can write

log₁₆(256b) = log₁₆(256) + log₁₆(b)

We can simplify log₁₆(256) as follows:

log₁₆(256) = log₁₆(16^2) = 2

Therefore, we have:

log₁₆(256b) = log₁₆(256) + log₁₆(b)

= 2 + log₁₆(b)

So, we have rewritten log₁₆(256b) in terms of the logarithm of b, which is the factor that was multiplied by 256 inside the logarithm.

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at+a+fair+Daniel+and+Claire+went+on+a+ride+that+has+two+separate+circular+tracks.+Daniel+rode+in+a+purple+car+that+travels+a+total+distance+of+265+feet+around+the+track+.+Ciara+rode+in+a+yellow+car+that+travels+a+total+distance+of+170+feet+around+the+track.+They+drew+drew+a+sketch+of+the+ride.+What+is+the+difference+ofthe+radii+of+the+two+circle+tracks

Answers

Note that the difference in the radii of the two circular tracks is about 13.68 ft

How did we get that?

recall that the circumference of a circle is denoted by the expression

C = 2πr

In this case, C = Circumference
and r   radius

Since we have two tracks

Let ra = radius of the purple track and

rb = radius of the yello track

So

265 = 2πra

170 = 2πrb

making ra and rb subject of the expression we have


ra = 256/(2π)  =40.7436654315 ≈ 40.74

rb = 170 / (2π) = 27.0563403256 ≈ 27.06

Hence, the difference is

40.74 - 27.06 = 13.68ft

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Full Question:

at a fair Daniel and Claire went on a ride that has two separate circular tracks. Daniel rode in a purple car that travels a total distance of 265 feet around the track . Ciara rode in a yellow car that travels a total distance of 170 feet around the track. They drew drew a sketch of the ride. What is the difference ofthe radii of the two circle tracks

Olympic size swimming pools are 50 meters long and 25 meters wide with a minimum depth of 2 meters. If the swimming pool is a rectangular prism and water weighs 1000 kilograms per cubic meter, what is the weight of the water in the smallest possible full Olympic size pool in kilograms?

Answers

Answer:

660,430 gallons AKA 2499.9995045071 kilograms

you would proably round it to 2500 kilograms

Step-by-step explanation:

looked it up, had the same measurements as you gave

If a > O and y > 0, which expression is equivalent to v 768219 g372
• A.
162°y18 32g
• B.
-O c. 1604 ° V324,
O D.
8ay18 /12ry

Answers

The expression 16x⁹y¹⁸√3xy is equivalent to √769x¹⁹y³⁷

If a > O and y > 0, which expression is equivalent to √769x¹⁹y³⁷

Factor and rewrite the radicand in exponential form:

√16²×3x¹⁸×xy³⁶×y

Simplify the radical expression:

16x⁹y¹⁸ √2²×3xy

Factor and rewrite the radicand in exponential form:

8x⁹y¹⁸√2²×3xy

8x⁹y¹⁸.2√3xy

Multiply the monomials:

16x⁹y¹⁸√3xy

Hence, the expression 16x⁹y¹⁸√3xy is equivalent to √769x¹⁹y³⁷

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How do I do my calculations?

Answers

The area of the shaded region for the normal distribution is approximately 0.6985.

We have,
To find the area of the shaded region under the standard normal distribution curve between z = -0.87 and z = 1.24, we can use a standard normal distribution table or a calculator with a standard normal distribution function.

Using a standard normal distribution table, we look up the area to the left of z = -0.87 and the area to the left of z = 1.24 and then subtract the smaller area from the larger area to find the area between z = -0.87 and z = 1.24.

The table value for z = -0.87 is 0.1949, and the table value for z = 1.24 is 0.8934.

The area between z = -0.87 and z = 1.24 is:

= 0.8934 - 0.1949

= 0.6985

So the area of the shaded region is approximately 0.6985.

Thus,

The area of the shaded region for the normal distribution is approximately 0.6985.

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I need help! pls and thank u! ​

Answers

Evaluating the given function, we can see that the intensity at 35 cm is 0.816

How to find the intensity at 35 cm from the source?

The intensity at a distance d in centimeters is given by the function:

I = 100*d⁻²

Here we want to find the intensity at 35 centimeters from the source, then we need to evaluate the function above at d = 35, doing that we will get:

I = 100*35⁻²

I = 100/(35²)

I = 0.816

The intensity at 35 centimeters from the source is 0.816.

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Which expression is equivalent to -√324?
A. -(32)4/5
B. -(32)5/4
C. (-32)4/5
D. (-32)5/4

Answers

Answer B because you flip it

In an election, the median number of votes a candidate received in 6 towns was 250. Which statement MUST be true about this election?
OA. The total number of votes the candidate received in the election was 1500.
OB. The candidate received at least 250 votes in half of the 6 towns.
OC. The candidate received exactly 250 votes in at least two of the towns.
O D. The total number of votes received by all the candidates in the election was 1500.

Answers

Answer:

B. The candidate received at least 250 votes in half of the 6 towns.

This is because the median number of votes is the middle value when all the vote counts are put in order. This means that at least three towns gave the candidate more than 250 votes, and at least three towns gave the candidate fewer than 250 votes. So, the candidate received at least 250 votes in half of the 6 towns. The total number of votes the candidate received in the election cannot be determined from this information. Similarly, the number of votes received in individual towns cannot be determined.

If the median number of votes a candidate received in 6 towns was 250, it means that 3 towns had more than 250 votes and 3 towns had fewer than 250 votes. Therefore, statement B must be true: the candidate received at least 250 votes in half of the 6 towns. Statements A, C, and D are not necessarily true. Therefore, the answer is B. The candidate received at least 250 votes in half of the 6 towns.

10+x/2 evaluate the expression for givin values of the variable

Answers

The value of the expression when x = 4 is 12.

The value of the expression when x = -8 is 6.

We have,

To evaluate the expression 10 + x/2 for a given value of the variable x, we simply substitute the value of x into the expression and simplify.

For example:

If x = 4:

10 + x/2 = 10 + 4/2

= 10 + 2

= 12

So when x = 4, the value of the expression is 12.

If x = -8:

10 + x/2 = 10 + (-8)/2

= 10 - 4

= 6

So when x = -8, the value of the expression is 6.

Thus,

The value of the expression when x = 4 is 12.

The value of the expression when x = -8 is 6.

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Solve for x, y and z
2x – y + 3z = 10
x + 3y – 2z = 5
3x – 2y + 4z = 12

Answers

The solution to the system of equations is:

x = 3, y = 2, z = 2

To solve for x, y, and z, we can use the elimination method or substitution method. Here, we will use the elimination method.

First, we will eliminate y from the equations by multiplying the first equation by 3 and the second equation by 1, and then adding them:

(3) (2x – y + 3z = 10)

6x – 3y + 9z = 30

(1) (x + 3y – 2z = 5)

x + 3y – 2z = 5

Adding the two equations gives:

7x + 7z = 35

Simplifying, we get

x + z = 5 (Equation 1)

Next, we will eliminate y again by multiplying the second equation by 2 and the third equation by 3, and then adding them:

(2) (x + 3y – 2z = 5)

2x + 6y – 4z = 10

(3) (3x – 2y + 4z = 12)

9x – 6y + 12z = 36

Adding the two equations gives:

11x + 8z = 46

Substituting x + z = 5 from Equation 1 into the above equation, we get:

11(x + z) + 8z = 46

11x + 19z = 46

Solving for z, we get:

z = 2

Substituting z = 2 into x + z = 5 from Equation 1, we get:

x + 2 = 5

x = 3

Finally, substituting x = 3 and z = 2 into any of the original equations, we can solve for y:

2x – y + 3z = 10

2(3) – y + 3(2) = 10

6 – y + 6 = 10

y = 2

Therefore, the solution to the system of equations is:

x = 3

y = 2

z = 2

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Select all of the values of x that make the inequality -x+6 ≥ 10 true.

Answers

The results is x ≤ -4.

The two tables show the number of copies of album x y and z sold in outlets A , B C and D of w company.
Which outlet sold the greatest amount of copies of album x in July and august

Answers

To find the outlet that sold the greatest amount of copies of album X in July and August, we need to add the number of copies sold in each outlet for those two months.

Outlet A: 80 + 90 = 170
Outlet B: 60 + 70 = 130
Outlet C: 70 + 80 = 150
Outlet D: 90 + 80 = 170

Outlets A and D both sold the greatest amount of copies of album X in July and August, with 170 copies sold each. Therefore, the answer is either A or D.

Filipe practiced 12 fewer hours than Bianca. If Filipe practiced for 16 hours, how long did Bianca practice?

Bianca practiced for
____
hours.

Answers

Answer:

28 hours

Step-by-step explanation:

Let's use "B" to represent the number of hours Bianca practiced.

From the problem, we know that Filipe practiced 12 fewer hours than Bianca, which means:

Filipe's practice time = Bianca's practice time - 12

We are also told that Filipe practiced for 16 hours, so we can substitute that into the equation:

16 = B - 12

To solve for B, we can add 12 to both sides:

16 + 12 = B

So, Bianca practiced for a total of 28 hours.

Other Questions
Write a proposal to do the research for a formal report for including extracurricular activities in your college program schedule. You may include the following: Problem/ Opportunity Feasibility Audience Topics to investigate Method Qualification Work Schedule Call to Action What are the benefits of stretching pre-activity? What are the risks? Which type of changes do you typically want - plastic or elastic? what is The extension arm encloses the wire between a pizza parlor offers four sizes of pizza and 12 different toppings. a customer may choose any number of toppings (or no tipping at all). how many different pizzas does this parlor offer? what is the differential diagnosis of a young man c/o sleeping problem is ? Find the equation of a line that passes through the point ( 4 , 2 ) that is perpendicular to the line y = 4 3 x . Show your work. Why did isolationists view Roosevelt's agreement to deliver destroyers to theBritish as a violation of the Neutrality Act? 67. A firm has a Debt-to-Asset ratio of 35% and Total Assets of $350,000. What is the firm's Total Debt? A. $122,500B. $650,000C. $100,000D. $60,000 Andrew deposits $40 in a saving account earning5% interest, compounded annually. Which function can be used to determine the amount of money in the savings account after x years charles m. johnson, founder of the institute for creative development, describes the order for creativity and creative problem solving this way. 35 yo F presents with amenorrhea, galactorrhea, visual field defects, and headaches for the past six months. What the diagnose? a novation occurs when there is a subtitution by agreement of a new contract for an old one with the rights under the old one being terminated,. True or False 4 yo M presents with diarrhea, vomiting, lethargy, weakness, and fever. The child attends a day care center where several children have had similar symptoms. What the diagnose? The Robinsons have saved $250,000 toward the purchase of their first home. They need $12,000 for legal costs and moving expenses. After thorough investigation, they made a $890,000 offer on a two-bedroom condominium subject to arranging financing. The current interest rate on a five-year term fixed-rate mortgage with a 25-year amortization is 3.2% compounded semiannually. 1.Calculate their monthly payments rounded to the higher $10. 2.Show the first three lines of the amortization schedule. 3.The mortgage contract entitles the borrower to increase the amount of the regular payment by up to 10% once each year. How much will the amortization period be shortened if, after 2 years they will increase the payments by 10%? 4.Calculate the interest saved due to this increase in the payment. 5. One year after their increase in the payment, interest rates drop to 2.15% compounded semi-annually. There is a penalty of 3 months interest on the outstanding balance for early repayment. Does it pay to refinance? 8. If the penalty is based on the interest rate differential (difference between the contractual interest rate on the loan and the current interest rate) , calculated as : Penalty = (outstanding loan balance) IRD (term remaining in payment periods) Does it pay to refinance AFind the measure of each side indicated.Round to the nearest tenth.8)X5 C58B thank you all for any help it realy means a lot summarize federalist paper 1, paragraph 1 Which of the following electron configurations of neutral atoms represent excited states?a. 1s22s22p63s23p63d21s22s22p63s23p63d2.b. [Xe]6s24f4[Xe]6s24f4.c. 2s22s2.d. [Kr]5s14d6[Kr]5s14d6.e. [Ar]4s23d3[Ar]4s23d3. What is the angle between a wire carrying an 8. 2 -a current and the 1. 2 -t field surrounding the wire if a portion the wire, length 47 cm, experiences a magnetic force of 2. 25 n? Which of the following budgets are directly based on information from the sales budget?-production budget-selling and administrative expense budget