NO LINKS!! Fredrico's Bank will you decide how often your interest will be computed, but with certain restrictions. Read the following options. What is the best deal after one year? Justify your answer.​

NO LINKS!! Fredrico's Bank Will You Decide How Often Your Interest Will Be Computed, But With Certain

Answers

Answer 1
Answer:  Option B

Compounded quarterly; annual interest rate is 7.875%

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

Explanation:

Let's say we are depositing P = 100 dollars, and we leave it in the account for a timespan of t = 1 year.

This will apply for options A through E.

-------------------

If we go with option A, then we would have n = 1 and r = 0.08

Use the compound interest formula to get the following:

A = P*(1+r/n)^(n*t)

A = 100*(1+0.08/1)^(1*1)

A = 108

We'll have $108 dollars in the account at the end of 1 year if we go with option A. The amount of interest only is A-P = 108-100 = 8 dollars.

-------------------

For option B, we have: n = 4 and r = 0.07875

A = P*(1+r/n)^(n*t)

A = 100*(1+0.07875/4)^(4*1)

A = 108.110625948487

A = 108.11

So far option B is slightly better since you've earned an extra $0.11, aka 11 cents.

-------------------

For option C, we have: n = 4 and r = 0.07875

A = P*(1+r/n)^(n*t)

A = 100*(1+0.0775/12)^(12*1)

A = 108.031299777277

A = 108.03

This amount is less compared to the $108.11 with option B. Therefore, option B is still the best so far.

-------------------

For option D, we have: n = 52 and r = 0.07625

A = P*(1+r/n)^(n*t)

A = 100*(1+0.07625/52)^(52*1)

A = 107.917207523206

A = 107.92

This is worse compared to option C.

Option B is still the best so far.

-------------------

For option E, we have: n = 365 and r = 0.075

A = P*(1+r/n)^(n*t)

A = 100*(1+0.075/365)^(365*1)

A = 107.787584644

A = 107.79

---------------------

Here's a table comparing the balance after 1 year for options A through E. Those balances all have a starting point of $100 as the deposit.

[tex]\begin{array}{|c|c|} \cline{1-2}\text{Option} & \text{Balance after 1 year}\\\cline{1-2}A & \$108\\\cline{1-2}\boldsymbol{B} & \boldsymbol{\$108.11}\\\cline{1-2}C & \$108.03\\\cline{1-2}D & \$107.92\\\cline{1-2}E & \$107.79\\\cline{1-2}\end{array}[/tex]

Option B is the best choice earning the most ($108.11) if you deposit $100.

There's nothing special about the $100, so feel free to change it to something else to try other starting deposits. You'll find that option B will still provide the highest return.

Answer 2

Answer:

B

Step-by-step explanation:

Compound Interest Formula

[tex]\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}[/tex]

where:

A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsed

Use the Compound Interest Formula with the given values for each option to calculate a final equation where A equals a multiple of P.  

The option with the greatest coefficient of P is the account which yields the highest interest after one year, and is therefore the best deal.

Option A

Given:

r = 8% = 0.08n = 1 (annually)t = 1 year

Substitute the given values into the formula:

[tex]\implies \sf A=P\left(1+\dfrac{0.08}{1}\right)^1[/tex]

[tex]\implies \sf A=1.08P[/tex]

Option B

Given:

r = 7.875% = 0.07875n = 4 (quarterly)t = 1 year

Substitute the given values into the formula:

[tex]\implies \sf A=P\left(1+\dfrac{0.07875}{4}\right)^{4 \cdot 1}[/tex]

[tex]\implies \sf A=P\left(1.0196875)^4[/tex]

[tex]\implies \sf A=1.081106259P[/tex]

Option C

Given:

r = 7.75% = 0.0775n = 12 (monthly)t = 1 year

Substitute the given values into the formula:

[tex]\implies \sf A=P\left(1+\dfrac{0.0775}{12}\right)^{12\cdot 1}[/tex]

[tex]\implies \sf A=P\left(1.006458333\right)^{12}[/tex]

[tex]\implies \sf A=1.080312998P[/tex]

Option D

Given:

r = 7.625% = 0.07625n = 52 (weekly)t = 1 year

Substitute the given values into the formula:

[tex]\implies \sf A=P\left(1+\dfrac{0.0765}{52}\right)^{52\cdot 1}[/tex]

[tex]\implies \sf A=P\left(1.001471154\right)^{52}[/tex]

[tex]\implies \sf A=1.079441506P[/tex]

Option E

Given:

r = 7.5% = 0.075n = 365 (daily)t = 1 year

Substitute the given values into the formula:

[tex]\implies \sf A=P\left(1+\dfrac{0.075}{365}\right)^{365\cdot 1}[/tex]

[tex]\implies \sf A=P\left(1.000205479\right)^{365}[/tex]

[tex]\implies \sf A=1.077875846P[/tex]

Summary

[tex]\begin{array}{|c|l|}\cline{1-2} \sf Answer\;Option & \sf Coefficient\;of\;P\\\cline{1-2} A & 1.08\\\cline{1-2} B & 1.081106259\\\cline{1-2} C & 1.080312998\\\cline{1-2} D & 1.079441506\\\cline{1-2} E & 1.077875846\\\cline{1-2} \end{array}[/tex]

Therefore, the option with the greatest coefficient of P and therefore the best deal is option B.


Related Questions

A car uses data to help determine the color of cars to order for this year. The data displays how many cars were sold the previous year. Each dot
represents 10 cars. Use the dot plot to answer the question.


How many cars were sold that were not white?
A 100
B190
C 19
D 25

Answers

The number of cars sold that were not white based on the dot plot is 19

How to determine the number of cars sold that were not white

From the question, we have the following parameters that can be used in our computation:

The dot plot represents the given parameter


From the dot plot, we have the following values represented as follows:

Count of red cars = 5Count of black cars = 8Count of white cars = 6Count of silver cars = 1Count of gray cars = 4Count of blue cars = 1

The above parameters means that the following cars are not white cars

So, we have the following representation

Count of red cars = 5Count of black cars = 8Count of silver cars = 1Count of gray cars = 4Count of blue cars = 1

When these frequencies are added, we have

Total = 5 + 8 + 1 + 4 + 1

Evaluate the sum

Total = 19

Hence, the number of cars is 19

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show all work pls help

1. There were 6 boys and 9 girls on the camping trip.
What was the ratio of boys to girls?



What was the ratio of girls to boys?


2. There are 4 tomato plants, 8 lettuce plants, and 2 cucumber plants in Jill's garden.
What is the ratio of tomato plants to lettuce plants?


What is the ratio of lettuce plants to cucumber plants?



3. If Jan can buy 10 copies of a certain book for $40, what is the unit rate for cost per copy? How much would it cost her to buy 20 copies at the same rate?

Answers

The ratios are as follows

Ratio of boys to girls = 2:3

Ratio of girls to boys = 3:2

Ratio of tomato plants to lettuce plants = 1:2

Ratio of lettuce plants to cucumber plants = 4:1

Unit rate = $4

Cost of buying 20 copies = $80

What are ratios?

Ratios compare two numbers, usually by dividing them.

If you are comparing one data point (A) to another data point (B), your formula would be A/B. This means you are dividing information A by information B.

For example, if A is five and B is 10, your ratio will be 5/10.

According to the given question:

1) There were 6 boys and 9 girls on the camping trip.

Ratio of boys to girls = 6:9 = 2:3

Ratio of girls to boys = 9:6 = 3:2

2) There are 4 tomato plants, 8 lettuce plants, and 2 cucumber plants in Jill's garden.

Ratio of tomato plants to lettuce plants = 4:8 = 1:2

Ratio of lettuce plants to cucumber plants = 8:2 = 4:1

3)  If Jan can buy 10 copies of a certain book for $40

Unit rate = 40/10 = $4

Cost of buying 20 copies = 20 x 4 = $80

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someone help me ASAP

I have to find angle 1 and angle 3​

Answers

Answer:

∠1 = 52

∠2 = 128

∠3 = 52

Step-by-step explanation:

∠2 = ∠4 Because of vertical angles

∠1 = ∠3 Because of vertical angles

∠1 + ∠4 = 180 Because of supplementary angles

Here, we are given that ∠4 = 128°

∠4 = ∠2 So ∠2 = 128°

∠1 + ∠4 = 180

∠4 = 128°

∠1 + 128° = 180

==> subtract 128 from both sides

∠1 = 52

∠1 = ∠3

∠1 = 52 meaning that ∠3 = 52

Answer:

m<1 = 52°

m<3 = 52°

m<4 = 128°

Step-by-step explanation:

Given: m<2 = 128°

<1 is supplementary to <2.

m<1 + m<2 = 180°

m<1 + 128° = 180°

m<1 = 52°

Angles 1 and 3 are vertical angles, so they are congruent.

m<3 = 52°

Angles 2 and 4 are vertical angles, so they are congruent.

m<4 = 128°

A kindergarten teacher has five books to distribute to 20 children in her class.

(a)
How many ways are there for her to distribute the books if they are all the same and no child gets more than one?
(b)
How many ways are there for her to distribute the books if they are different and no child gets more than one? If Charlie gets Green Eggs and Ham and Amanda gets The Cat in the Hat, that is a different distribution from one in which Amanda gets Green Eggs and Ham and Charlie gets The Cat in the Hat.
(c)
How many ways are there for her to distribute the books if they are all the same and there is no restriction on the number of books that can be given to any child?

Answers

Answer:

(a) There are 20 ways for her to distribute the books if they are all the same and no child gets more than one. Each of the 20 children can receive one of the five books.

(b) There are 100 ways for her to distribute the books if they are different and no child gets more than one. Each of the 20 children can receive one of the five different books, so there are 5x4x3x2x1 = 100 possible ways for her to distribute the books.

(c) There are 3,628,800 ways for her to distribute the books if they are all the same and there is no restriction on the number of books that can be given to any child. This is because each child can receive any number of books from 0 to 5. Therefore, there are 6x6x6x6x6 = 6^5 = 3,628,800 possible ways for her to distribute the books.

Step-by-step explanation:

Please help need to turn in asap

Answers

Answer:

4.5 or equivalently 4 1/2 or 9/2

All are equivalent

Units are miles/hour

Step-by-step explanation:

Take any two points on the graph. Divide the change in y values to the change in x values and you get the rate

Chosen points: (0, 0) and (2, 9)

Rate of change = (9-0)/(2-0) = 9/2 = 4.5

Jasmine has 38 crayons. Jasmine has 24 fewer crayons than trinity. How many crayons do they have in all?

Answers

If jasmine has 38 crayons which is 24 fewer than trinity, than trinity has 62. This is because 38+24=62

If you are wanting to find the total crayons both people own than you will want to add the two numbers together. 62+38=100

Answer: they have 100 crayons total

need help on This question I’ll give you brainliest

Answers

Answer: it is A.

Step-by-step explanation: I did the quiz

What is the slope of a linear function that passes
between (2, 7) and (5, 12)?

Answers

Answer:

5/3 is the slope

Step-by-step explanation:

Use the slope formula

m = y2 - y1/ x2 -x1

Answer:

Slope = 5/3

Step-by-step explanation:

Formula we use,

→ Slope = (y2 - y1)/(x2 - x1)

Now the required slope will be,

→ m = (y2 - y1)/(x2 - x1)

→ m = (12 - 7)/(5 - 2)

→ [ m = 5/3 ]

Hence, required slope is 5/3.

70% of $10 =_____________________

Answers

Answer: 7

Step-by-step explanation:

One poster has a width of x + 5 inches, and
the other has a width of x + 3 inches. Write an
expression to represent the area of wall that the
posters will cover.

Answers

The area that represent the wall the poster will cover is as follows:

x² + 10x + 25x² + 6x + 9

What is area?

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

Therefore, One poster has a width of x + 5 inches, and the other has a width of x + 3 inches.

The expression  to represent the area of wall that the posters will cover can be calculated as follows:

area = w²

area of the first poster = (x + 5)² = (x + 5)(x + 5) = x² + 5x + 5x + 25 = x² + 10x + 25

area of the second poster = (x + 3)² = (x +3)(x + 3) = x² + 3x + 3x + 9 = x² + 6x + 9

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HELP ME OUT OMG THANKS

Answers

Answer: 3 [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Answer:

7 1/5

Step-by-step explanation:

quick! please help! write the equation of line that has a slope of 7 and passes through the point (1,8)​

Answers

Answer: y=7x+1

Step-by-step explanation:

y=mx+b

Given:

slope= 7

point is (1,8)

Replace x and y for those numbers:

8=7(1)+b

Solve for b:

8=7+b

b=1

Final equation:

y=7x+1

A bakery offers a sale price of $3.40 for 6 muffins. What is the price per dozen?

Answers

Answer: The sale price per dozen would we around $6.80 with no tax included.

Step-by-step explanation:

If the change in velocity of a car is 30 m/s and the time interval is 5 seconds, the acceleration of the car is ________ m/s2

Answers

Answer:

-4 acceleration

Step-by-step explanation:

: )

Assemble the proof by dragging tiles to the statements and reasons columns.

Answers

Triangles AED and BEC are congruent by AAS rule, so DE ≅ CE by CPCTC

What are congruent triangles?

When corresponding sides and angles of two triangles are congruent, they are said to be congruent triangles.

Given is figure of triangles,

In Δ ADC and Δ BCD,

AD ≅ BC (given)

∠ BCD ≅ ∠ ADC (given)

DC is common segment in both,

Therefore,  Δ ADC ≅  Δ BCD by SAS rule

∠ DAE ≅ ∠ CBE by CPCTC

∠ AED ≅ ∠ BEC by vertically opposite angles postulate.

Δ AED ≅ Δ BEC by AAS rule

DE ≅ CE by CPCTC

Hence, Triangles AED and BEC are congruent by AAS rule, so DE ≅ CE by CPCTC

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A questionnaire was given to students in an introductory statistics class during the first week of the course. One question
asked, "How stressed have you been in the last 2 weeks, on a scale of 0 to 10, with 0 being not at all stressed and 10 being
as stressed as possible?" The students' responses are shown in the frequency distribution. How many students were involved
in the study?
students

Answers

Answer:

Step-by-step explanation:

2+0 is zero I mean two and 1+1 is two and 5+ I forgot something and you know you just need to add them up together in it at all your answer

Descartes sees 18 oranges on the tree and 13 on the ground.
Newton sees 6 on the ground. Descartes and Newton see the
same amount of oranges. How many oranges does Newton
see on the tree?

Answers

18 + 13 = 6 + t

31 = 6 + t

Subtract 6 from both sides

25 = amount of oranges Newton sees on the tree

Consider the function y = -2x + 1 what is the slope (m)? What is the y intercept (b)? Make a quick graph for the equation

Answers

Answer:

Step-by-step explanation:

Start with the slope intercept equation: y=mx+b

y=-2x+1

m=-2 and b=1

Now draw a graph on your paper, place a point at +1 on the Y axis.

Next, solve for y with x=1.

y=-2(1)+1

y=-2+1

y=-1

Now graph (1,-1)

2/3 = 4x

X = ?

i dont know what this is

Answers

The answer to the problem is x= 1/6

15) A balloon is secured to rope that is staked to the ground. A breeze blows the balloon so that the
rope is taut while the balloon is directly above a flag pole that is 40 feet from where the rope is
staked down. Find the altitude of the balloon if the rope is 80 feet long. HINT: Use the
Pythagorean Theorem., label the drawing.
A) 2√10 ft
B) 40-√√5 ft
C) 40-√√3 ft
D) 4√ √/30 ft

Answers

The altitude of the balloon found using Pythagorean Theorem is 40·√3 feet, the best correct option is option C)

C) 40·√3 ft

What is the Pythagorean Theorem?

The Pythagorean Theorem states that the square of the hypotenuse side of a right triangle is the same as the sum of the square of each of the two legs of the right triangle.

15) The parameters in the question includes;

Horizontal distance of the flag pole from the point the rope is staked down = 40 feet

Length of the rope to which the balloon is secured = 80 feet

Location of the balloon = directly above the flag pole

Therefore, the altitude of the balloon, the length of the rope, and the horizontal distance from the flag pole from the point the rope is staked form a right triangle, with the length of the rope representing the hypotenuse side.

Let h represent the altitude of the flag pole, using Pythagorean Theorem, we get;

80² = 40² + h²

Therefore; h² = 80² - 40² = 4800

The altitude of the balloon, h = √(4800) = 40·√3

The altitude of the balloon, h is 40√3 feet

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Your fixed expenses are $1,235.78/month. You want to save 6 months' worth for an emergency fund over a year’s time. How much must you save each month?

Answers

Answer:

The correct answer is 514.90

Step-by-step  

Don’t even know where to start! Please help with an explanation, thanks! :)

Answers

The values of the unknown angles are ∠1 = 92°, ∠2 = 24°, ∠3 = 64°, ∠4 = 35°, ∠5 = 81°

What are corresponding angles?

Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal). For example, in the below-given figure, angle p and angle w are the corresponding angles.

∠1 + 88 = 180°( angles on a straight line)

∠1 = 180 - 88 which is 92°

∠3 = 64°( corresponding angles are equal)

∠2 + ∠1 + ∠3 = 180( sum of angles in a triangle)

∠2 + 92° + 64° = 180

∠2 = 180 - 92 - 64

∠2 = 24°

∠4 + 81 + ∠3 = 180 ( angles on a straight line)

∠4 + 81 + 64 = 180

∠4 = 180 - 64 -81

∠4 = 35°

∠5 = 81°( alternate angles are equal)

In conclusion the values of ∠1, ∠2, ∠3, ∠4, ∠5 are 92°, 24°, 64°, 35° and 81° respectively.

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8.5 by 11 rectangle folded in half. What is the length of the long side

Answers

I guess it sort of depends on whether you are folding the rectangle in half "long-ways" or "short-ways", however, if the rectangle is folded "long-ways", then the length of the new long side would be 5.5, with the shorter end being 4.25, or just 4.2.

Hope this helps!

Help please!!!!!!!!!!!!

Answers

Answer:

4.) m > 7

5.) k + (-5) > 30 (The ">" has a line under It)

6.) 0.875

I don't know what it means when it says "graph the solution set" but I simplified it for you!

Examine the rhombus below slove for x 5x-3

Please help it for a test worth 95 points

Answers

Answer: I'm pretty sure the answer is either 18.6, or 90

Tell me in the comments if I'm wrong

Examine the following triangle.
Based on the given information, what is the measure of the missing length, w?
Enter your answer as a number.

Answers

Answer:

16

Step-by-step explanation:

You must use the Pythagorean theorem to find w. Because you are looking for a leg, you must do a² - b² = c². This translates to 20² - 12² = w². If you enter the numbers into your calculator 20²- 12² = 256. You must then square root 256, and if you input √256 into your calculator you will get your final answer of w = 16.

What is the value of the expression below when x=7x=7? x^2+9x-10

Answers

Answer:

Step-by-step explanation:

What is 30x2? Id love to know

Answers

30 x 2 is 60

The easiest way to do multiplication is to add the number to itself by the number your multiplying it by.

So if your multiplying 30 by 2 you just need to add 30 to itself twice so it's

30 + 30

Which also gives you the same answer

Find the missing ange:




RPQ:______

Answers

pie = mc square……………….

The value of angle RPQ in the circle is 115°.

What is intersecting chords' theorem?

The products of the measurements of the segments of two chords are equal if they intersect in a circle.

When two chords intersect inside a circle, the resulting angle's measure is equal to the product of the lengths of the arcs it intercepts and its vertical angle, divided by two.

Therefore,

∠RPQ = 1  / 2 (arc angle RQ + arc angle SA)

arc angle RQ = 175°

arc angle SA = 55°

Hence,

∠RPQ  = 1 / 2 (175 + 55)

∠RPQ  = 1 / 2 (230)

∠RPQ  = 115°.

Therefore, the angle is 115°.

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25 to 45 in to a fraction

Answers

5/9 that’ll be the correct
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