A sinking fund is established to discharge a debt of $30,000 in 5 years. If deposits are made at the end of each 6-month period and interest is paid at the rate of 4%, compounded semiannually, what is the amount of each deposit?

Answers

Answer 1

Answer:

what you have to do is do 30000 * 5 and then do 6 divided by the number and then four times that number and whatever the answer you get be your answer hope this help


Related Questions

The weights of baby tortoises are approximately Normal with a mean of 25.6 ounces and a standard deviation of 2.3 ounces. What proportion of baby tortoises weigh between 25 and 30 ounces?​

Answers

592344435555544433234555

The quotient of q and 14 is less than 28

Answers

Answer:

q<392

Step-by-step explanation:

First, we turn words into an inequality. Then, we solve for q.

[tex]\frac{q}{14} <28\\q<28*14\\q<392[/tex]

It is also a good idea to check our answer, to make sure it is reasonable and we did not make a careless mistake.

[tex]3<392\\\frac{3}{14} <28[/tex]

The value satisfies the equation, so this should be correct.

In one day, Joe consumes 530 calories by drinking 1 serving of juice, 2 s

370 calories by drinking 2 servings of juice and 1 serving of milk. Marian

of milk and 1 soda. Using matrices to solve, how many calories are in

Answers

Answer:

B. 110

Step-by-step explanation:

In one day, Joe consumes 530 calories by drinking 1 serving of juice, 2 servings of milk, and 1 soda. Darius consumes 370 calories by drinking 2 servings of juice and 1 serving of milk. Marian consumes 510 calories by drinking 3 servings of milk and 1 soda. Using matrices to solve, how many calories are in 1 serving of milk?

A. 90

B. 110

C. 130

D. 180​

Answer:

Let x represent the amount of calories in 1 servings of juice, y represent the amount of calories in 1 servings of milk and z represent the amount of calories in 1 servings of Soda.

Joe consumption can be represented by:

x + 2y + z = 530           (1)

Darius consumption can be represented by:

2x + y = 370                 (2)

Marian consumption can be represented by:

3y + z = 510                  (3)

The equations can be represented in matrix form as:

[tex]\left[\begin{array}{ccc}1&2&1\\2&1&0\\0&3&1\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}530\\370\\510\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&2&1\\2&1&0\\0&3&1\end{array}\right] ^{-1}\left[\begin{array}{c}530\\370\\510\end{array}\right] \\\\\\[/tex]

[tex]\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}0.33&0.33&-0.33\\-0.67&0.33&0.67\\2&-1&-1\end{array}\right]\left[\begin{array}{c}530\\370\\510\end{array}\right]\\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}130\\110\\180\end{array}\right][/tex]

The amount of calories in one serving of milk is 110 calories

The figure is composed of a rectangular prism and a triangular prism. Find the volume of the figure.
14 in.
32 in.
14 in.
9 in.
The volume of the figure is
in?

Answers

Answer:

either 4032 or 56448

Step-by-step explanation:

you have to multiply length times height times width.

4032 I believe:::::::::::::::::

what is 2,606 + 7,025?

Answers

Answer:

2606 + 7025 = 9631

Pls mark me brainliest

Answer: 9631

 2606

+7025

9631

The area A of a triangle with base b and height h is given by A = = bh. Find the area when b = 18 m (meters) and h = 30 m.

The area is m?

Answers

Answer:

[tex]Area = 270m^2[/tex]

Step-by-step explanation:

Given

[tex]A = \frac{1}{2}bh[/tex]

[tex]b = 18m[/tex]

[tex]h = 30m[/tex]

Required

Solve for A

Simply substitute 18 for b and 30 for h

[tex]A = \frac{1}{2}bh[/tex]

[tex]A = \frac{1}{2} * 18 * 30[/tex]

[tex]A = 270[/tex]

Hence:

The area is

[tex]Area = 270m^2[/tex]

Does anyone stan Twice??​

Answers

Meeeeeeeeeeeeeee I doooo

Answer:

This is literally me.

Step-by-step explanation:

each friend received 5/4 of a pound of berries, how many friends are sharing berries?​

Answers

Answer:

2

Step-by-step explanation:

If 5 friends are sharing the berries, how many pounds of berries does each friend receive? Is the answer to 3/4 divided by 2/5 greater than or less than 1.

What is 9,200 equal in hundreds

Answers

9,200 contains 92 hundreds.
Explanation:
One hundred can go into 9200 92 times
(9,200 % 100)
92 hundreds
(9,200 %100)

Which table of values does not represent a linear function

Answers

Answer: B.

I think that it is probably too late but it is table (B.)

Step-by-step explanation:

It is a proportional relationship becuase In table B. The y section goes up by .5 each time

Answer:

C does not represent a linear function.

Step-by-step explanation:

C is the only one that has a different rate of change. If you find the rate of change between the top two, the bottom two's rate of change will be different. For a function to be linear, it has to have a constant rate of change. C does not, therefore, C is the answer.

Hope this helps! Please vote me as Brainliest. Let me know if you need more of an explanation. Remember, cheating is never the answer. Try your best before you seek answers. Good luck with whatever you are doing! Have an amazing day!

Point E is located at -1p on the number line, Point F is located at 9 on the number line.
What is the distance between Point E and Point F on the number line? Enter the answer in the box. PLS HELP MEEEE

Answers

Answer:

-1 p will be a ok answer please with

Communities A, B and C are faced with water problem. The distance between communities A and B is 5km and that of A and C is 7km, the angle between the path AB and AC is 45 degrees. If a well a well is to dug for the communities, indicate by way of sketching exact place to dig the well

Answers

Answer:

3.5 km between communities AC

Step-by-step explanation:

The idea is to find a common position for all the communities to locate the well

Kindly find attached a rough sketch of the problem for your reference.

Given that

AB=5km

AC=7km

From the diagram we can see that for all three communities to travel equal distance to the common well, the well has to be situated at 3.5km between communities AC.

Also, from the diagram the location of well is the intersection between the diagonals of the rectangular shape.

To visit the top of the Empire State building , a ticket in 1999 cost four dollars , in 2019 the same ticket cost $32 ,what was the percentage change in the cost of the ticket ?

Answers

Answer:

700%

Step-by-step explanation:

The formula to find the percentage is found below =

[tex]\frac{changeinvalue}{absolutevalueoftheoriginalvalue} * 100[/tex]

So to find the change in value, we must subtract 32 from 4, which gets us -28.

We know the og value already, 4 dollars.

So do the division

[tex]\frac{-28}{4} =-7[/tex]

Now the multiplcation,

-7 * 100

-700

700%

2.) You need a carpet installed in your living room. You reach out to 2 different companies
for installation pricing. Lowes charges $ 2 a square foot and $60 to bring the
materials. Home Depot Charges $1.50 a square foot and $ 80 to bring the materials.
If your living room is 100 square feet, which company would you use?

Answers

Answer:

Home Depot

Step-by-step explanation:

Home Depot Has better charges because you have to multiply the question to see which one is lower.

josh has $300 in his savings account. his account earns 2% interest each month

Answers

He earns $6 in interest every month
300 * 0.02 = 6

Answer:

$6 dollars i guess

Step-by-step explanation:

what is the slope of the line that contains these points x=12,13,14,15 y=-4,2,8,14

Answers

Answer:

6

Step-by-step explanation:

Fid the difference in the y-coordinates of any two points. This is the rise.

Then find the difference in the corresponding x-coordinates of the same points. This is the run.

slope = rise/run

Let's use x = 12, x = 15, and y = -4, y = 14.

rise = -4 - 14 = -18

run = 12 - 15 = -3

slope = rise/run = -18/(-3) = 6

Answer: slope = 6

There are 8 fluid ounces in one cup.
Write this as a unit rate.
Hint: use per, every, or each.

Answers

Answer:

8

Step-by-step explanation:

Ronald has a 10% solution of the fertilizer Super Grow. How much pure Super Grow should he add to the mixture to get 36 oz of a 12.5% concentration?

Answers

Answer:

1 oz

Step-by-step explanation:

Given that:

% solution of super grow fertilizer = 10%

To obtain mixture of 36oz of a 12.5% concentration

Let oz of pure supergrowth to be added = s

(Initial % * (36 - s) + s) / 36 = target concentration

(10% * (36 - s) + s) / 36 = 12.5%

(0.1(36 - s) + s) / 36 = 0.125

Cross multiply:

0.1(36 - s) + s =. 0.125 * 36

3.6 - 0.1s + s = 4.5

3.6 + 0.9s = 4.5

0.9s = 4.5 - 3.6

0.9s = 0.9

s =. 0.9/0.9

s = 1

Hence, 1 oz of pure supergrowth should be added to the 10% solution to get 36 oz of a 12.5% concentration.

How many groups of 5 are 35?

I need answer stat!

Answers

Answer:

Step-by-step explanation:

7

Answer:

There are 7 groups of 5 in 35.

The humidity dropped an average of 1 1/3% each hour over the last six hours. What was the total change in humidity?

Answers

Answer:7 /13

Step-by-step explanation:

Archaeologists used pieces of burned wood, or charcoal, found at the site to date prehistoric paintings and drawings on walls and ceilings of a cave in Lascaux, France. Use the information in Example 3 of Section 3.1 to determine the appropriate age of a piece of burned wood, if it was found that 88% of the C-14 found in living trees of the same type had decayed. (Round your answer to the nearest hundred years.) years

Answers

Answer:

The age of the wood is [tex] t =  17527.5 \  years [/tex]

Step-by-step explanation:

   From the question we are told that 88% of  of the C-14 found in living trees of the same type had decayed , this means that the proportion of C-14 that is remaining is mathematically evaluated as

    [tex]  1 - 0.88 = 0.12[/tex]

Hence

[tex] N = 0.12N_o[/tex]

Here  N represents the remaining C-14 while [tex]N_o[/tex] is the original  amount of  C-14

Generally the half life of C-14 is  [tex]h =  5730 \  years[/tex]

Generally from the formula of radioactive decay

       [tex]N  =  N_o  *  2^{-\frac{t}{h} }[/tex]

=>    [tex]0.12N_o =  N_o  *  2^{-\frac{t}{5730} }[/tex]

=>    [tex]0.12  =    2^{-\frac{t}{5730} }[/tex]

taking the natural log of both sides

=>  [tex] ln [0.12]  =   ln[ 2^{-\frac{t}{5730} }][/tex]

=>  [tex] ln [0.12]  =  -\frac{t}{5730}ln(2) [/tex]

=>   [tex] t =  17527.5 \  years [/tex]

The appropriate age of burned wood will be "17527.5 years".

Radioactive decay

According to the question,

The proportion of C-14 = 1 - 0.88

                                      = 0.12

then,

N = 0.12 N₀

Now,

The half-life of C-14 will be:

h = 5730 years

By using Radioactive decay formula, we get

→      N = N₀ × [tex](2)^{-\frac{t}{h} }[/tex]

By substituting the values,

0.12N₀ = N₀ × [tex](2)^{-\frac{t}{5730} }[/tex]

   0.12 = [tex]2^{-\frac{t}{5730} }[/tex]

By taking "log" both sides,

ln[0.12] = ln[[tex]2^{-\frac{t}{5730} }[/tex]]

ln[0.12] = -[tex]\frac{t}{5730 \ ln(2)}[/tex]

hence,

The age will be:

         t = 17527.5 years

Thus the above response is correct.

Find out more information about radioactive decay here:

https://brainly.com/question/1236735

The distribution of speeds on a particular highway has a mean of 60 mph with a standard deviation of 10 mph. The distribution of speeds is NOT known to be bell-shaped. Use the scenario to answer the next 3 questions.

At least what percentage of cars is traveling between 40 and 80 mph?

At least what percentage of cars is traveling between 20 and 100 mph?

If a sample of 40 cars is selected at random, estimate the number of cars that are traveling between 40 and 80 mph.

Answers

Answer:

a) At least what percentage of cars is traveling between 40 and 80 mph?

75%

b) At least what percentage of cars is traveling between 20 and 100 mph?

93.75%

c) If a sample of 40 cars is selected at random, estimate the number of cars that are traveling between 40 and 80 mph.

30 cars.

Step-by-step explanation:

We apply Chebyshev's Theorem

This states that:

1) At least 3/4 (75%) of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.

2) At least 8/9 (88.89%) of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.

3) At least 15/16 (93.75%) of data falls within 4 standard deviations from the mean - between μ - 4σ and μ + 4σ.

From the question, we have:

Mean of 60 mph

Standard deviation of 10 mph.

a) At least what percentage of cars is traveling between 40 and 80 mph?

Applying:

Applying the first rule: At least 3/4 (75%) of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.

μ – 2σ

60 - 2(10)

60 - 20

= 40 mph

μ + 2σ.

60 + 2(10)

60 + 20

= 80 mph

Hence, at least 75% of cars is traveling between 40 and 80 mph.

b) At least what percentage of cars is traveling between 20 and 100 mph?

At least 15/6 (93.75%) of data falls within 4 standard deviations from the mean - between μ – 4σ and μ + 4σ.

μ – 4σ

60 - 4(10)

60 - 40

= 20 mph

μ + 4σ.

60 + 4(10)

60 + 40

= 100 mph

Hence, at least 93.75% of cars is traveling between 40 and 80 mph.

c) If a sample of 40 cars is selected at random, estimate the number of cars that are traveling between 40 and 80 mph.

Since we know from question a) that

at least 75% of cars is traveling between 40 and 80 mph.

Given a sample of 40 cars:

75% of 40 cars

= 75/100 × 40

= 30 cars.

The number of cars that are traveling between 40 and 80 mph is 30 cars.

2. How many coefficients are in the expression 3,2 – 18y + 2y??

Answers

Answer:

2

Step-by-step explanation:

A coefficient is a number that is usually place before a variable to multiply it with.

  Given expression:

                   3.2 - 18y + 2y

The variable in this problem is y;

    So, the coefficients are:

                    -18 and +2

We have two coefficients.

The capacity of a dump truck is listed by the manufacturer as 10 yd3 . A construction site requires the removal of of dirt, and the contractor has four identical trucks. How many trips will each need to make

Answers

Question:

The capacity of a dump truck is listed by the manufacturer as 10 yd^3. A construction site requires the removal of 200 m^3 of dirt, and the contractor has three identical trucks. How many trips will each need to make?

Answer:

7 trips

Step-by-step explanation:

Given

[tex]Capacity = 10yd^3[/tex]

[tex]Dirts = 200m^3[/tex]

[tex]Trucks = 4[/tex]

Required

Determine the number of trips of each truck

Divide the volume of dirts by 4 to get the portion of each truck

[tex]Each\ Truck = \frac{200m^3}{4}[/tex]

[tex]Each\ Truck = 50m^3[/tex]

Divide the portion of each truck by capacity of each truck to get the number of trip

[tex]Trip = \frac{50m^3}{10yd^3}[/tex]

Convert m^3 to yd^3

[tex]Trip = \frac{50 * 1.30795yd^3}{10yd^3}[/tex]

[tex]Trip = \frac{65.3975yd^3}{10yd^3}[/tex]

[tex]Trip = \frac{65.3975}{10}[/tex]

[tex]Trip = 6.53975[/tex]

Approximate:

[tex]Trip = 7[/tex]

The mayor of a town has proposed a plan for the annexation of a new bridge. A political study took a sample of 1100 voters in the town and found that 54% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is more than 50%. Determine the P-value of the test statistic. Round your answer to four decimal places.

Answers

Answer:

The p-value is  [tex]p-value = 0.0039854[/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is  n = 1100

   The population proportion is  p = 0.50

  The sample proportion is  [tex]\^ p = 0.54[/tex]

The null hypothesis is  [tex]H_o : p = 0.50[/tex]

The alternative hypothesis is [tex]H_a : p > 0.50[/tex]

 Generally the test statistics is mathematically represented as

     [tex]z = \frac{\^ p - p }{ \sqrt{\frac{ p(1 - p)}{n} } }[/tex]

=>   [tex]z = \frac{ 0.54 - 0.54 }{ \sqrt{\frac{ 0.50 (1 - 0.50)}{1100} } }[/tex]

=>  [tex]z = 2.6533[/tex]

Generally from the z-table the probability of 2.6533 for a right tailed test is  

         [tex]p-value = 0.0039854[/tex]

4(7 + 8m)=8(-1 + 4m)

Answers

Answer:

There is no solution

Step-by-step explanation:

Let's use distributive property to solve this equation.

4(7+8m) = 8(-1+4m)

28+32m = -8+32m

    -32m        -32m

28= -8

There is no solution

Hope this helps!

A large bag of cashews weighs 9 1/4 pounds. One serving is 1/5 pound. How many servings are in the bag.

Answers

Answer as a mixed number = 46 & 1/4

Answer as a decimal = 46.25

===============================================

Work Shown:

9 & 1/4 = 9 + 1/4 = 9 + 0.25 = 9.25

1/5 = 0.2

A bag of cashews weighs 9.25 pounds and one serving is 0.2 pounds.

Let x be the number of servings

1 serving = 0.2 pounds

x servings = 0.2x pounds after multiplying both sides by x

0.2x pounds represents the total bag's weight so,

0.2x = 9.25

x = 9.25/0.2

x = 46.25 answer in decimal form

x = 46 + 0.25

x = 46 + 1/4

x = 46 & 1/4  answer in mixed number form

This means we have 46 full servings plus an additional 1/4 of a serving.

what are the partial products of 9 x 813

Answers

Answer:

813

* 9. 9*800= 7200

9*10. =90

7200

90. 9*3. =27

27

7317

The partial product is 7317.

What is partial product?

The partial product method involves multiplying each digit of a number in turn with each digit of another where each digit maintains its place. (So, the 2 in 23 would actually be 20.)

Given:

9 x 813

Now, breaking the number according to their place value.

So, 813

=(800 + 10 +3)

Then the partial product will be written as

=9 * (800 + 10 +3)

=9* 800+ 9*10 + 9*3

=7200 + 90 + 27

= 7317

Hence, the partial product is 7317.

Learn more about partial product here:

https://brainly.com/question/24716925

#SPJ1

Which of the following is not equal to the rational number 7/4

Answers

Answer:

2

Step-by-step explanation:


Find f'(-2) if f(x) = x^4/5 - 7x.


f'(-2) = ?
(Simplify your answer. Type an integer or a fraction.)

Answers

Answer:

15.74

Step-by-step explanation:

[tex] {x}^{ \frac{4}{5} } - 7x[/tex]

Substitute - 2 for x.

[tex] { (- 2)}^{ \frac{4}{5} } - 7( - 2)[/tex]

[tex] \sqrt[ 5]{ { (- 2) }^{4} } - 7( - 2)[/tex]

[tex]1.74 + 14[/tex]

[tex]15.74[/tex]

(I rounded to the nearest hundredth).

Other Questions
Members of Beta Club are selling candy bars to raise money. The club sponsor uses the following equation to calculate the amount of profit, "p" made from selling "n" candy bars. p = 2.50n - 200. How many candy bars must be sold to make a profit of 1500? According to Islamic Empire Cultural Achievements, Islamic scientists were among the first to study and chart the movements of planets and stars, eclipses and the rotation of the Earth ...they were able to pinpoint their exact location on earth. This proved to be helpful for the Muslim daily ritual of prayer, facing toward Mecca Which number is equal to 10^3 How much time will it take a truck to go from 10 m/s to 35 m/s if the truck accelerates at a constant rate of 1.7 m/s2 ? The product of the Calvin cycle is a triose-phosphate sugar that is either exported from the chloroplast or used to regenerate RUBP. How many times must each of the reactions in the Calvin cycle take place in order to complete the synthesis of one 3-carbon triose phosphate sugar molecule? Select the correct answer.Which task represents an unethical use of technology and resources at the workplace?OA. using computer resources for an upcoming project presentationOB. sharing a coworker's performance scores with colleaguesOC. generating a confidential report after receiving proper authorizationOD. providing references and giving due credit for work that isn't one's ownO E. printing presentation notes for an upcoming client meetingResetNext ( please just tell me the formula to use to solve it ) A hockey puck has a coefficient of kinetic friction of k = .10. If the puck feels a normal force (FN) of 5 N, what is the frictional force that acts on the puck? Why do you think that people get offended so easily? Does their childhood have anything to do with it?(Help, due in 20 minutes) show your work16 = k/11 Which of the following did The Ordinance of 1787 NOT do?outlaw slavery in the Old Northwestdiscount land for veterans of the Revolutionguarantee English common law thereset up a system of government that outlined how the territories could become states Which food and exercise habits most likely increase one's chances of developing chronic diseases, like type-2 diabetes? Qualitative Risk Assessment. Imagine that you are a member of a project team that has been charged with developing a new product for the residential building industry. Using a qualitative risk analysis matrix, develop a risk assessment for a project based on the following information: : Identified risk factors Likelihood 1. Key team members pulled off project 1. High 2. Chance of economic downturn 2. Low 3. Project funding cut 3. Medium 4. Project scope changes 4. High 5. Poor spec. performance 5. Low Based on this information, how would you rate the consequences of each of the identified risk factors? Why? Construct the risk matrix and classify each of the risk factors in the matrix. which is equal 199 7 1 0 The missing terms in an arithmetic sequence are called arithmetic means. For example, in the problem above, you might say, Find the 6 arithmetic means between -23 and 5. Describe a method that would work to find arithmetic means and explain why this method works. 6 x 21 + 2 x = 12 x 12 + 3 For the combustion of methane presented in Example 5.4, the chemical reaction is CH4 +2O2 CO2 +2H2O Suppose that methane flows into a burner at 30 gmol/s, while oxygen flows into the same burner at 75 gmol/s. If all the meth- ane is burned and a single output stream leaves the burner, what is the mole fraction of CO2 in that output stream? Hint 1: Does the fact that all the methane is burned mean that all the oxygen is burned also? Hint 2: Find the molar flow rate of each component gas in the outlet gas ("flue gas"). What type of potential energy is a 9 volt battery an example of? can someone help me please with 582 x 23 __________ x __________ = 12,000 Find the square root of each number. 40= A middle-aged aircraft mechanic is laid off from his job after improved technology (robotics and machine learning) reduces the need for workers. This type of:______