You want to invest your money in an interest bearing account. One account earns 5% interest compounded twice annually and another account that earns 5% simple interest. Compare options and analyze which (if any) option is better. Explain how you arrived at your answer. Use numbers and calculations to provide evidence for your response. Answer in complete sentences.

Answers

Answer 1

The option that is better is that compounded twice annually with 61.5 interest than the simple interest for 60.

What is Simple Interest?

Simple interest is the amount obtained from a money invested or loaned over a specific period of time with a specific interest rate.

Analysis.

Let the principal to be used be 600

Compound interest compounded annually twice, which means the tenor of interest is two years.

first year interest

I = PRT/100

P= 600, R = 5%, T = 1

I = 600 x 5 x 1/ 100 = 30

Principal for second year = principal first year + interest

                                          = 600 + 30 = 630

interest for second year = 630 x 5 x 1/ 100 = 31.5

Compound interest  = 30+31.5 = 61.5

For simple interest, duration is 2 years,

I = PRT/100

I = 600 x 5 x 2/100 = 60

In conclusion, The account that earns 5% compounded twice annually is the better one since it accrues more interest.

Learn more about simple interest: brainly.com/question/20690803

#SPJ1


Related Questions

Which of the following shows the simplified form of sin x/1+cos x
O sin x- tan x
O sin x-cot x
O csc x-cot x
01

Answers

Answer:

csc x - cot x

Step-by-step explanation:

(sinx)/(1+cos x)

Multiplying the numerator and denominator by (1-cos x),

((sinx)(1-cos x))/(1-cos² x)

((sinx)(1-cosx))(sin²x)

(1-cosx)/(sinx)

cscx - cot x

In a country 55% of the male population has houses in cities while 30% have houses both in cities and in villages . Find the percentage of the population that has houses only in villages.

Answers

15%

{100-(55+30)}%

={100-(85)}%

=15%

ch circle shows AB that measures 60°?
O
60⁰ -0
A
60°
B
60°
.0
Mark this and return
B
B
Save and Exit
Next
Submit

Answers

Step-by-step explanation:

there are a lot of typos and missing info in your problem and answer option definition.

based on what I understood the answer should be

"the second answer option".

this is where A and B have an arc angle (or inner angle at the center of the circle) of 60°.

one could see the 3rd answer to be right too, as the angle between A and B at Y is also 60°.

but I don't think this is really the meaning of this question here.

The cleaning service requires $39 in variable costs for cleaning materials. The fixed costs of labor, the company's truck, and administrative support are $349,200 per year. Chimneysweep averages 200 service calls per month. What is the average cost per cleaning service call?

Answers

The average cost per cleaning service call charge by the company is $184.5.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let y represent the total cost for x number of service calls in a year. Hence:

y = 39x + 349200

For 200 service call, in a year, x = 200 * 12 = 2400

y = 39(2400) + 349200 = $442800

Average cost = $442800 / 2400 = 184.5

The average cost per cleaning service call charge by the company is $184.5.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

A group of friends was working on a student film that had a budget of $700. They used $658 of their budget on costumes. What percentage of their total budget did they spend on costumes?

Answers

[tex]\huge\boxed{94\%}[/tex]

Simply use division to solve this problem.

[tex]\dfrac{\$658}{\$700}=0.94[/tex]

Now, multiply this by 100 to get a percentage.

[tex]0.94=\large\boxed{94\%}[/tex]

Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall on a nearby fence. The angle of elevation of the tree from one position on a flat path from the tree is H=60 and from a second position L=30 farther along this path it is B=50 What is the height of the​ tree?

Answers

The height of the tree based on the information is 229.23.

How to calculate the height?

Based on the information given,

tan 50 = h/x + 60

h = (x + 60)tan 50°

x tan 60 = (x + 60)tan 50°

x(tan 60° - ta 50°) = 60 ta 60

x = 132.34

Therefore, the height will be:

= x tan60°

= 132.34 × tan 60

= 229.23

Therefore, the height is 229.23.

Learn more about height on:

brainly.com/question/983412

#SPJ1

The sum of two numbers is 32. One number is 3 times the other. Find the numbers.

Answers

The numbers whose sum is 32 in which one number is 3 times the other is 8 and 24 respectively.

Equation of the unknown

Let

x = one of the unknowns3x = second unknown

x + 3x = 32

4x = 32

x = 32/4

x = 8

So,

3x = second unknown

= 3(8)

= 24

Check:

x + 3x = 32

8 + 24 = 32

Learn more about equation:

https://brainly.com/question/2972832

#SPJ1

Solution
We are given two endpoints here

Point 1: (−1, Answer
)
Point 2: ( Answer
,4)
We know our rise between the two points is 1. So

12= Answer

And our run between the two points is 4. So

42= Answer

We now have rise2+run2=distance2, so we have

1+16=distance2

Answer
=distance2

So once we take the square root of both sides we have

distance=√ Answer

We could also use the actual distance formula we developed to get the same answer.

d=(4−3)2+(−5−(−1)2)−−−−−−−−−−−−−−−−−−−√

d=(12+(−4)2)−−−−−−−−−−√

d=(1+16)−−−−−−−√

d=√ Answer

Answers

The distance between the two points on the plane is √17

Distance between two points

The formula for calculating the distance between two points is expressed as;

D = √(x2-x1)²+(y2-y1)²

From the given plane, we have the following coordinates

(-5, 4) and (-1, 3)

Substitute

D = √(3-4)²+(-1-(-5))²

D = √(-1)²+(4)²

D= √1+16
D=√17

Hence the distance between the two points on the plane is √17

Learn more on distance between two points here: https://brainly.com/question/11541834

#SPJ1

what is the reminder when X³ +4X² - 2X + I is divided by X + 1 what is the reminder when X³ + 4X² - 2X + I is divided by X + 1​

Answers

Answer:

6

Step-by-step explanation:

evaluate this piecewise function at x= -6 and x=2

Answers

The values of the piecewise function are f(-6) = 6 and f(2) = 1

How to evaluate the function?

The complete question is in the attached image.

The value x = -6 is in the domain: -8 <= x < 1

The function at this domain is:

f(x) = |x|

So, we have:

f(-6) = |-6|

Evaluate

f(-6) = 6

Also, we have:

The value x = 2 is in the domain: x >= 1

The function at this domain is:

f(x) = 3

So, we have:

f(2) = 1

Hence, the values of the piecewise function are f(-6) = 6 and f(2) = 1

Read more about piecewise functions at:

https://brainly.com/question/18859540

#SPJ1

Which of these is an exponential parent function? OA. f(x)=2x-2 OB. f(x) = 2x C. f(x) = 2x + 3 OD. f(x) = 24x​

Answers

The answer to this question is choice B


9. The measure of each exterior angle of a regular pentagon is
the measure of each exterior
angle of a regular nonagon.

Answers

Answer:

55,55

Step-by-step explanation:

hereakaigdidjuwjapwwjshd

1.25 +1.25+1.25+1.25

Answers

Answer:

5

Step-by-step explanation:

1.25+1.25+1.25+1.25=5

Mr. Parks begins to fill a large container with water for the dunk tank at the school
fair before asking Brian to finish the job. The container has 25 gallons of water in it
before Brian uses a hose to finish filling it up. The container fills at a rate of 10
gallons per minute. Suppose that y is the amount of water in the tank after x
minutes. Which equation could be graphed to help Brian find out how much water is
in the tank at any time?
y = 25x + 10
y= 10x + 25
y= 10x - 25
y = 10x

Answers

Answer:

The answer is B / y= 10x+25

Step-by-step explanation:

your welcome

Halfway through the season, a soccer player has made 12 penalty kicks in 18 attempts.
Based on her performance to date, what is the relative frequency probability that she will miss
her next penalty kick?

Answers

Answer:

21

Step-by-step explanation:

18÷6=3 attemps

13÷6=2 makes

she will probably missed I next 3rd pe alty kick

21st attempts

What is the value of this expression when x=2 and y=-4? -3(x-y)2

Answers

Answer:

-108

Step-by-step explanation:

[tex] - 3 \times { (2 - ( - 4)) }^{2} = \\ - 3 \times ( {2 + 4})^{2} = \\ - 3 \times 36 = - 108[/tex]

Answer:

108 is correct hjgbjbvmbhbjnnn

The average student loan debt for college graduates is $25,150.
Suppose that that distribution is normal and that the standard deviation
is $12,050. Let X = the student loan debt of a randomly selected college
graduate. Round all probabilities to 4 decimal places and all dollar
answers to the nearest dollar.
a. What is the distribution of X? X - N
b Find the probability that the college graduate has between $14,200
and $33,950 in student loan debt.
c. The middle 10% of college graduates' loan debt lies between what
two numbers?
Low: $
High: $

Answers

Using the normal distribution, it is found that:

a) [tex]X \approx N(25150, 12050)[/tex]

b) There is a 0.5859 = 58.59% probability that the college graduate has between $14,200 and $33,950 in student loan debt.

c) Low: $23,519.65, High: $26,580.35.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 25150, \sigma = 12050[/tex].

Hence the distribution of X can be described as follows:

[tex]X \approx N(25150, 12050)[/tex]

The probability that the college graduate has between $14,200 and $33,950 in student loan debt is the p-value of Z when X = 33950 subtracted by the p-value of Z when X = 14200, hence:

X = 33950:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{33950 - 25150}{12050}[/tex]

Z = 0.73

Z = 0.73 has a p-value of 0.7673.

X = 14200:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{14200 - 25150}{12050}[/tex]

Z = -0.91

Z = -0.91 has a p-value of 0.1814.

0.7673 - 0.1814 = 0.5859.

There is a 0.5859 = 58.59% probability that the college graduate has between $14,200 and $33,950 in student loan debt.

Considering the symmetry of the normal distribution, the middle 10% is between the 45th percentile(X when Z = -0.127) and the 55th percentile(X when Z = 0.127), hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.127 = \frac{X - 25150}{12050}[/tex]

X - 25150 = -0.127(12050)

X = $23,519.65.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.127 = \frac{X - 25150}{12050}[/tex]

X - 25150 = 0.127(12050)

X = $26,580.35.

More can be learned about the normal distribution at https://brainly.com/question/4079902

#SPJ1

Question 1 of 10
The Quadratic Formula gives which roots for the equation 2x²+x-6=0?

Answers

Answer:

x=-3/2 or-2

Step-by-step explanation:

hope this helps

Calculus help please 10 points for 18&19
thanks!

Answers

First function - The function is not continous on [0, 5] because h(5) is not defined.

Second function - There are no discontinuities.

How to determine the continuity of a function

In this problem we have two functions, whose continuity has to be checked. The first equation is a rational function and the second one is a polynomic function. There is a discontinuity in a function f at a given point if and only if the function evaluated at such point does not exist.

The discontinuities of rational functions are those x-values such that the denominator equals zero. The first function is defined for the interval [0, 5] and it is continuous if the function exists for all value of the interval. Thus:

5 - x = 0

x = 5

The rational function has a discontinuity at x = 5. The function is not continous on [0, 5] because h(5) is not defined. (Correct choice: C)

In accordance to algebra, polynomic functions are continuous as there exist a result for all value of x. There are no discontinuities.

To learn more on discontinuities: https://brainly.com/question/12644479

#SPJ1

do synethtic wig curls only come out if you put heat on it Answer Asap for brainlist

Answers

Answer:

. It will curl without heat. You Never attempt to use hot tools, like a curling iron, on a synthetic wig – unless the label specifically says that the wig can tolerate heat. If not, you can use foam rollers to curl the wig using the method below.

Step-by-step explanation:

Answer:

Yes, it is possible to curl a synthetic wig. But you should never attempt to use hot tools, like a curling iron, on a synthetic wig, unless the label specifically says that the wig can tolerate heat. If not, you can use foam rollers to curl the wig.

In the video, the water level was 15 milliliters before adding the chain, and 20 milliliters after adding the chain. When I weighed the chain, its mass was 73.5 grams.



I believe the chain is solid metal (not gold plated), but is probably a blend of gold and other metals. I looked up that gold has a density of 19.3 g/ml, while the other metals like silver and copper usually blended with gold have a combined density of about 9.7 g/ml.



Determine what percentage of the chain is gold, by mass, to at least 1 decimal place?



%

Answers

The answer would be 0.27

A Bus begins its trip with R occupants (including the driver).At each of the 20 stops three people get on and no one leaves if there are three times as many boss occupants at the end of the 20th stop as there are at the end of the fourth stop how many occupants did the bus have immediately after the 10th stop?Pls explain for brainlest
A.12
B.24
C.30
D.42

Answers

Answer

D.42

Step-by-step explanation:

It's pretty easy and hard at the same time just do not overthink it. Obviously, the bus leaves with R occupants including the driver but that still means that there are occupants, to begin with. Now remembering that 3 people get on each stop you can take it to multiply 3*10  (3 people, ten stops) you would get thirty. Would this be the answer? NO! Remember that you began with R occupants to begin with and either using the process of elimination or common sense you can conclude that 12,24 are improbable answers because they are lower than thirty, and what about thirty? No, because you had thirty people in addition to the original occupants so that eliminates thirty. What's left?

                                                             42

                                              There Is Your Answer

Answer:

D. 42

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

Given

The bus has initially R occupants,At each stop the occupants increase by 3,After 20 stops there are 3 times more occupants than after 4 stops.

To find

The number of occupants after 10 stops

Solution

Let's find out the how many occupants are there after 20 and 4 stops, then compare:

After 20 stops:

R + 3*20 = R + 60

After 4 stops:

R + 3*4 = R + 12

Compare and solve for R:

R + 60 = 3(R + 12)R + 60 = 3R + 363R - R = 60 - 362R = 24R = 12

We found the number of initial occupants.

Use this  to find the number of occupants after 10 stops:

12 + 3*10 = 12 + 30 = 42

Correct answer choice is D.

Hi, need help please to get my HS diploma...did not graduate :(

Let V(x)=−x2+2x−4 and W(x)=−x3+2x2+x+5. Find V(x)⋅W(x)

Answers

Answer:

B

Step-by-step explanation:

I assume this should look like

V(x) = -x² + 2x - 4

W(x) = -x³ + 2x² + x + 5

when doing arithmetic operations with whole functions, we simply do these operations with the whole expressions :

V(x) × W(x) =

(-x² + 2x - 4) × (-x³ + 2x² + x + 5) =

= x⁵ - 2x⁴ - x³ - 5x² - 2x⁴ + 4x³ + 2x² + 10x + 4x³ - 8x² - 4x - 20 =

= x⁵ - 4x⁴ + 7x³ - 11x² + 6x - 20

Simplify the following.
7² =
4⁰ =
6-¹=

Answers

Answer:

49

1

1/6

Step-by-step explanation:

7^2 is just 7 * 7 = 49

4^0 = 1, since anything to the power of 0, is 1.

[tex]6^{-1}[/tex] is equal to [tex]\frac{1}{6}[/tex] since [tex](\frac{a}{b})^{-x}=(\frac{b}{a})^x=\frac{b^x}{a^x}[/tex]. Whenever you have a negative exponent, you flip the fraction, in this case the fraction is 6/1 so it becomes 1/6. then distribute the exponent across the division and you get 1^1/6^1 which is just 1/6

Answer:

491

Step-by-step explanation:

hey

please like my question

What is the equation of the graph below?

Answers

Answer:

A

Step-by-step explanation:

Write the equation of a sine or cosine function to describe the graph.

Answers

Answer:

  y = cos(3/2x)

Step-by-step explanation:

A general sine or cosine function will have parameters of amplitude, vertical and horizontal offset, and period. The values of these parameters can be determined from the given graph.

  y = A·cos(2π(x -B)/P) +C

where A is the amplitude, B and C are the horizontal and vertical offsets, and P is the period.

Amplitude

For sine and cosine functions, the amplitude of the function is half the difference between the maximum and minimum:

  A = (3 -1)/2 = 1

Horizontal offset

A sine function has its first rising zero-crossing at x=0. A cosine has its first peak at x=0. The given graph has its first peak at x=0, so it is a cosine function with no horizontal offset.

  B = 0

Vertical offset

For sine and cosine functions, the vertical offset is the average of the maximum and minimum values:

  C = (3 +1)/2 = 2

Period

The period is the difference in x-values between points where the function starts to repeat itself. Here, we can use the peaks to identify the period as 4π/3.

  P = 4π/3

Function equation

Using the parameter values we determined, the function can be written as ...

  y = cos(3/2x) +2

__

Additional comment

The argument of the cosine function is ...

  [tex]\dfrac{2\pi(x-B)}{P}=\dfrac{2\pi(x-0)}{\dfrac{4\pi}{3}}=\dfrac{3(2\pi)}{4\pi}x=\dfrac{3}{2}x[/tex]

A 4-sided dice is rolled. The set of equally likely outcomes is {1,2,3,4}. Find the probability of rolling a number less than 14

The probability of rolling a number less than 14 is?

Answers

The probability of rolling a number less than 14 among {1,2,3,4} is 1.

Given The dice is 4 sided. Likely outcomes is {1,2,3,4} and we have to find the probability of rolling a number less than 4.

Probability is the likeliness of happening an event among all the events possible. The value of probability cannot be negative or greater than 1. It lies between 0 to 1. The formula of calculating probability is:

Probability= number of events/ total number of events.

Total likely outcomes=4 {1,2,3,4}

Numbers less than 14 = 4

Probability of rolling a number less than 14=1/4

=0.25 because all number less than 14 is present.

1,2,3,4 are all less than 14.

and because all numbers are included that's why the value of probability is 1.

Hence the probability of rolling a number less than 14 is 1.

Learn more about probability at https://brainly.com/question/24756209

#SPJ10

Write the number in numerical form-twenty-six thousandths

Answers

The answer is 0.026 in numerical form

The actual length of the ship is 575 feet. The scale of the model is 1 inch: 25 feet. What will be the length of the model?

Answers

The length of the model as described in the task content would be; 23 inches.

What is the length of the model?

According to the task content, it follows that for every 25 feet measure of the actual ship length, the representation is 1 inch on the model.

On this note, for 575 feet length of the actual ship, the length of the model is; 575/25 = 23 inch.

Read more on scale factors;

https://brainly.com/question/2826496

#SPJ1

Shania owns a gym for women clients. She advertises that women can lose 1/2 pound per week by visiting her gym 3 times a week. If this is the case, how many pounds can women lose in a month?

Answers

(4 wks/mo)(1/2 lb/wk) = 2 lb/mo

(4_1/3 wks/mo)(1/2 lb/wk) = 2.17 lb/mo

Women who visit Shania's gym three times per week have the ability to drop two pounds in a month.

If women visit Shania's gym three times a week and can lose 1/2 pound per week, we can calculate how many pounds they can lose in a month (assuming a month has four weeks on average).

The rate of weight loss is 1/2 pound per week. So in one month, which is four weeks, the weight loss would be:

Weight loss per week × Number of weeks in a month = (1/2) × 4 = 2 pounds

Therefore, women visiting Shania's gym three times a week can potentially lose 2 pounds in a month.

To learn more about multiplication;

https://brainly.com/question/19634536

#SPJ3

Other Questions
Three men and eight women are waiting to be interviewed for jobs. If they are all selected in random order, find the probability that all will be interviewed first. If A and B are vectors such as A+3b=-3i+j and A-B=i-2j find A and B What type of consideration does the proposed insured offer to an insurancecompany?AO The premium plus the statements in the applicationBO Competent parties and the premiumCO The premium and a legal purposeDO Insurable interest plus the premium Demand is the willingness and ability tobuy a given good or service.offer a given good or service.increase the price of a given good or service.decrease the price of a given good or service. help me with the fonction please im stuck U_U Which statement best describes the passage? Where should there be a paragraph break in the following text? Explain yourself, Paul. The teacher demanded sternly. (1.) I am sorry. I know I should not have cheated on my math test. (2.) Last night I should have been studying, but we have a big game tonight. So I practiced my jump shots instead. So when you handed me the pop quiz I panicked. I know that doesnt justify what I did, but I made a mistake that will never happen again. I promise. (3.) So, please let me play tonight. (4.) Paul pleaded. Nerve cells do not begin to develop until after a child is born. please select the best answer from the choices provided t f It took 84 different tasks to build a Ford car. This is an example ofdiversity of population.skilled craftsmanship.employee benefits.division of labor. How many solutions does the system contain? What is the degree of the polynomial f(x) = (x 1)(x + 1)(x + 3) help pls!introduction to making a difference: its our world,too! What is the potential outcome for an author if she uses a word without realizing its connotation? she may write something that she does not mean she may make a serious spelling error she may force her reader to use a thesaurus she may convince the audience of her writing skills A diagonal of a cube measures StartRoot 150 EndRoot cm. The diagonal of a face measures 10 cm.What is the length, in centimeters, of an edge of the cube? Round the answer to the nearest tenth. P l e a s e h e l p~!!!!!!~!!~~~! What is the art historical term for the African artistic practice of varying the sizes of the figures in a composition according to their importance A statement of cash flows explains the difference between the beginning and ending balances of: Multiple Choice Equity. Cash and cash equivalents. Working capital. Cash and intangible assets. Net income. helppp!!! Lynn is putting tiles on her bathroom floor. Each tile measures 1 square foot each. The floor measures 4 1/2 ft by 3 3/4 ft. How many tiles will she need to cover the floor? Create a list of steps, in order, that will solve the following equation. (x-5)^2=25(x5) 2 =25left parenthesis, x, minus, 5, right parenthesis, squared, equals, 25 Solution steps: Writers pay special attention to detail in their writing. Each author has their own unique voice. Read the following passage and think about the picture Jacobs is painting. What do you find interesting about this particular passage? What is the tone of this passage (scary, dull, exciting, happy, sad)? Explain your thinking.He sat until he was chilled with the cold, glancing occasionally at the figure of the old woman peering through the window. The candle-end, which had burned below the rim of the china candlestick, was throwing pulsating shadows on the ceiling and walls, until with a flicker larger than the rest, it expired. The old man, with an unspeakable sense of relief at the failure of the talisman, crept back to his bed, and a minute afterward the old woman came silently and apathetically beside him.