10-36. Talayna has some money that she wants to put into a savings account and she has two

options. One option pays 2% interest compounded quarterly. Another option pays only 1.5%,

but is compounded monthly. If she wants to deposit the money for 5 years, which account is

better? If she wants to deposit for 25 years, which account is better? Homework Help

Plzzz

Answers

Answer 1

Answer:

Option 1

Step-by-step explanation:

Effective Interest Rate = [ 1 + ( r / m) ]^ mt -  { 1 }

where i = nominal interest rate , n = number of compounding per time period, t = number of time periods

Option 1 : Interest rate 'i' = 2% , Quarterly compounding 'n' = 4 , t = 25 years  

EAR  = [ 1 + 2% / 4 ]^ (4 x 25) - [ 1 ]  = 0.6466 , ie 64.66%

Option 2 :  Interest rate 'i' = 2% , Monthly compounding 'n' = 12 , t = 25 years  

EAR = [ 1 + 1.5% / 12 ] ^ (12 x 25) - [ 1 ] = 0.4546 , ie 45.46%

As option 1 has higher EAR than option 2, former is better than latter


Related Questions

it's asking if the statement is true of false :).
1: x+3 and 2x are equivalent when x is 2, true or false
2: 4x and 15+x are equivalent when x is 5. true or false
3:4x and 15+x are equivalent when x is 3 true or false
4: 2b+b and 3b are equivalent for any value of x true or false
please help its for a product grade to bring my grade up

Answers

1) false
2)true
3)false
4)true

Hope this helps :)

Find y to the nearest degree. *

Answers

Step-by-step explanation:

.....................

what’s the total volume of this cone?

Answers

Answer:

1,005.31

Step-by-step explanation: I just looked up a volume calculator and selected the cone shape option and it gave me the answer. Hoped this helped!

i believe its 1005.31 but im not 100%

problem of volume that equals 9 work please

Answers

Step-by-step explanation:

l=1

b=3

h=3

l×b×h

9 is the vol

HELP IM GOING TO HAVE A MENTAL BREAKDOWN
Find the values of x and y that make these triangles congruent by the HL Theorem.

Answers

Answer:

x = 3 ; y=2

Step-by-step explanation:

to simplify the work we can build a system of two equations

2x+3 = 3y+3

x = y+1

we can now substitute the value of x in the first equation

2(y+1)+3 = 3y+3

2y + 2 + 3 = 3y+3

2y + 5 = 3y+3

y = 2

now we can subisitute the value of y in the first equation

x = 2 + 1 = 3

Verify

2(3)+3 = 6+3 = 9

3(2) + 3 = 6 + 3 = 9

3

2+1 = 3

Select all of the expressions that are equivalent
to 18x+6.

Answers

Answer:

6(3x+1)

To check

6×3x=18x

6×1=+6

Answer:

1st, 2nd, 5th

Step-by-step explanation:

Please give me BRAINLIEST and THANKS lol

Help me plssssssssssssssssssss

Answers

So basically you are to use the formula:

L x W x H


Plug the values in:

12 x 1/4 x 4/5


Now we know if we multiply 12 by 1/4 we would 3 since 12 divided by 4 is 3:

3 x 4/5


Multiply the 3 and 4 and get 12/5.


Ok, so to get one of the answers check which one SIMPLIFIES to 12/5, which in this case is 48/20 since that can be simplified by 4.


So the answer is 48/20

use the picture to write each ratio as a simplified fraction (how are you going to find the length of the third side?) show your thinking

Answers

Answer:

See below

Step-by-step explanation:

to figure out the ratios we must figure out the length of hypotenuse first to do so we can consider Pythagoras theorem given by

[tex] \displaystyle {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] \displaystyle \implies c = \sqrt{ {a}^{2} + {b}^{2} } [/tex]

substitute:

[tex] \displaystyle c = \sqrt{ {12}^{2} + {9}^{2} } [/tex]

simplify squares:

[tex] \displaystyle c = \sqrt{ 225 } [/tex]

simplify square root:

[tex] \displaystyle c = 15[/tex]

now recall that,

[tex] \displaystyle \sin( \theta) = \frac{opp}{hypo} [/tex][tex] \displaystyle\cos( \theta) = \frac{adj}{hypo} [/tex][tex] \displaystyle \tan( \theta) = \frac{opp}{adj} [/tex]

the ratios with respect to angle w given by

[tex] \displaystyle \sin( W) = \frac{12}{15} = \frac{4}{5} [/tex][tex] \displaystyle \cos(W) = \frac{9}{15} = \frac{3}{5} [/tex][tex] \displaystyle \tan( W) = \frac{12}{9} = \frac{4}{3} [/tex]

the following ratio with respect to angle X

[tex] \displaystyle \sin(X) = \frac{9}{15} = \frac{3}{5} [/tex][tex] \displaystyle \cos(X) = \frac{12}{15} = \frac{4}{5} [/tex][tex] \displaystyle \tan( X) = \frac{9}{12} = \frac{3}{4} [/tex]

What is the value of n in the equation below? a^n/ a^3 = a^9
a. 3
b. 6
c. 12
d. 27​

Answers

Answer:

C, 12

Step-by-step explanation:

I need help again different question tho

Answers

Answer:

44u-36

Step-by-step explanation:

Apply the distributive property.

−6(−7u)−6⋅6+2u

Multiply −7 by −6.

42u−6⋅6+2u

Multiply −6 by 6.

42u−36+2u

Add 42u and 2u.

44u-36

A line passes through the point (4,-4) and has a slope of -4. Find
the equation of the line.
O A. y = 40 + 20
ОВ.
y = -40 + 12
OC.
y = 40 + 12
OD.
y = -43 + 20



PLEASE SOMEONE ANSWER ASAP

Answers

Answer:

y = - 4x + 12

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 4 , then

y = - 4x + c ← is the partial equation

To find c substitute (4, - 4) into the partial equation

- 4 = - 16 + c ⇒ c = - 4 + 16 = 12

y = - 4x + 12 ← equation of line

Mrs. Dean harvested 1 pounds of green peppers,
2 pounds of yellow peppers, and 5pounds of red
peppers from her garden. Is 8 pounds, 9 pounds, or
10 pounds a more reasonable estimate for how many
pounds of peppers she harvested altogether?
PLEASE ANSWER

Answers

Answer: 8 Pounds because it doesn't have to be an estimate due to it being the actual number.

Step-by-step explanation: because it doesn't have to be an estimate due to it being the actual number.

Aaron has 13 dimes and 10 quarters. Emily has the same amount of money as Aaron, but she only has nickels and dimes.
If Emily has 46 coins, how many nickels and dimes does she have?
A
7 nickels; 41 dimes
B
16 nickels; 30 dimes
C
30 nickels; 16 dimes
D
41 nickels; 7 dimes

Answers

The awnser is b, 16 nickels, 30 dimes

Answer:

B

Step-by-step explanation:

Aaron has $3.80. Emily has 16 nickels and 30 dimes, which equals $3.80.

Which of the following is equivalent to the
given expression? *
(1 + sin a/1 - sin a) - (1 – sin a/1 + sin a)

Answers

Answer:

Solution given:

[tex] \frac{1 + \sin( \alpha ) }{1 - \sin( \alpha ) } - \frac{1 - \sin( \alpha ) }{1 + \sin( \alpha ) } [/tex]

[tex] \frac{(1 + \sin( \alpha )) {}^{2} - (1 - \sin( \alpha ) {}^{2} }{1 - \sin{}^{2} \alpha }[/tex]

[tex] \frac{1 + 2 \sin( \alpha ) + \sin {}^{2} ( \alpha ) - 1 + 2 \sin( \alpha ) - \sin {}^{2} ( \alpha ) }{ { \cos }^{2} \alpha } [/tex]

[tex] \frac{4 \sin( \alpha ) }{ \cos {}^{2}( \alpha ) } [/tex]

[tex]4 \tan( \alpha ) \sec( \alpha ) [/tex]

is your answer.

use the table to write a proportion

Answers

Answer:

n = 17

[tex]\frac{n}{85}= \frac{34}{170}[/tex]

Step-by-step explanation:

[tex]\frac{n}{85}= \frac{34}{170}[/tex]

n · 170 = 34 · 85

170y = 2890

170y ÷ 170 = 2890 ÷ 170

y = 17

Andrew jogs 4.2 miles every day. How many miles does he jog in five days?​

Answers

Answer:

21 miles

Step-by-step explanation:

he runs 4.2 miles x 5 days

Andrew jogs 4.2 miles every day. Andrew runs 21 miles in five days.

We have given that,

Andrew jogs 4.2 miles every day.

We have to determine how many miles he jog in five days.

What is the distance?

The extent or amount of space between two things, points, lines, etc. · the state or fact of being apart in space, as of one thing from another remoteness.

he runs

= 4.2 miles x 5 days

=21.0

Therefore Andrew runs 21 miles in five days.

To learn more about the distance visit:

https://brainly.com/question/2854969

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The Smith's 5 children need to be lined up for a family photo. In how many ways could this be done? 5 5 5! 5! 5C5 5 cap c sub 5 55

Answers

Answer:

120 ways

Step-by-step explanation:

To line 5 children up in a family photo, the number of possible arrangements is obtained by taking the factorial of the number of people on the line.

In this scenario, we have 5 ;

Recall;

n! = n(n-1)(n-2)(n - n-1)

5! = 5(5-1)(5-2)(5-3)(5-4)

5! = 5 * 4 * 3 * 2 * 1

5! = 120 ways

The gates of an amusement park are closely monitored to determine whether the number of
people in the amusement park ever poses a safety hazard.
On a certain day, the rate at which people enter amusement park is modeled by the function
e(x) = 0.03x3 + 2, where the rate is measured in hundreds of people per hour since the gates
opened. The rate at which people leave the amusement park is modeled by the function
l(x) = 0.5x + 1, where the rate is measured in hundreds of people per hour since the gates
opened.
What does (e – l)(4) mean in this situation?

Answers

Answer:

Maybe how many people are in the park

For given situation, (e - l)(4) means, there are 92 people in the amusement park 4 hours after the gates open.

What is a function?

"It is an expression that defines a relationship between one variable and another variable."

For given example,

the rate at which people enter amusement park is modeled by the function

[tex]e(x) = 0.03x^3 + 2[/tex]

where the rate is measured in hundreds of people per hour since the gates opened.

The rate at which people leave the amusement park is modeled by the function

[tex]l(x) = 0.5x + 1[/tex]

where the rate is measured in hundreds of people per hour since the gates opened.

First we find the subtraction of functions [tex](e-l)(x)[/tex].

[tex]\Rightarrow (e-l)(x)=e(x)-l(x)\\\\\Rightarrow (e-l)(x)=0.03x^3 + 2-(0.5x + 1)\\\\\Rightarrow (e-l)(x)=0.03x^3+2-0.5x-1\\\\\Rightarrow (e-l)(x)=0.03x^3-0.5x+1[/tex]

For x = 4,

[tex]\Rightarrow (e-l)(4)=0.03(4)^3-0.5(4)+1\\\\\Rightarrow \bold{(e-l)(4)=0.92}[/tex]

As, the rate is measured in hundreds of people per hour

So, (e - l)(4) means, there are 92 people in the amusement park 4 hours after the gates open.

Lean more about function here:

https://brainly.com/question/13461298

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solve - 2 1/3 - ( - 5) =
Help me please

Answers

Answer:

7.33

Step-by-step explanation:

Help me ASAP!!
Find the area of the whole blue triangle.
8.5 m
10 m
8 m
3 m
6 m

Answers

I believe you would add the 6m and 3m to make 9m then do the area equation which is a=1/2bh so 1/2 times 9 times 8 you would get 36 so that should be the answer 36

This is part two of the problem

Answers

Answer:

Area original = 8

Area new = 24

Area final = 3 x area original

True

Step-by-step explanation:

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

a) original: 8

final: 24

b) 3

c) true

Step-by-step explanation:

What are the solutions of the equation?
y=-7(x-3)(x+4)

Answers

Answer:

{-4, 3}

Step-by-step explanation:

To find "solutions," you must set this function equal to zero:

y = -7(x - 3)(x + 4) = 0

and then set each factor equal to 0 separately and solve each resulting equation for x:

x - 3 = 0 yields x = 3, and

x + 4 = 0 yields x = -4

pppppllls help I need help ​

Answers

Answer: This is basic trig man, So I can help you here. First thing you need is a calculator that can do sin cos and tan, ti-84 would work best. You need to use the sin cos and tan formulas to find the edge lengths of the side. heres a helppful tip to remeber the proper way to use the formulas. SOH-CAH-TOA or sin(angle measure)= Opposite side to that angle measure divided by the hypotenuse cos(angle measure)= adjacent side (the side next to the angle) divided by the hypotenuse. and TOA or Tan(angle measure)=Opposite divided by adjacent.

Step-by-step explanation: This is a mix of Special right triangles and trig. You now know how to do the trig, look up special right triangles 60 30 90 and 90 45 45, it should show you how to do the rest of the math, since I don't recall the formulas for this off the top of my head. I am not just giving you the answers for two reasons, 1 it would take tooo long and I am already doing a quiz, which I have five minutes left to complete, and B If you cant do this for yourself you will fail the final for your course.

Scores on an IQ test are normally distributed. A sample of 25 IQ scores had standard deviation of 8. The developer of the test claims that the population standard deviation of 15. Do these data provide sufficient evidence to significance? Use =0.05α=0.05 . Test by using a confidence interval. Show step1-step3.

Answers

Answer:

Yes, the data provides sufficient evidence at 0.05 level of significance

Step-by-step explanation:

n = 25

s = 8

σ = 15

χ² = (n - 1)s² / σ²

χ² = (25 - 1)*8² / 15²

χ² = (24 * 64) / 225

χ² = 6.827

The critical value at 0.05 ; df = 25 - 1 = 24

12.4012 and 39.3641

Reject H0 if χ² < 12.4012 or if χ² > 39.3641

Since,

χ² < 12.4012 ; We reject H0 ;

Slope of the line and y- intercept

Answers

Answer:

-3/2 is the slope

0 is the y-intercept

Step-by-step explanation:

Start at the dot to the very left since that's where it starts. Rise/Run so first start by going down to where the line meets a place where a dot can be placed. If you go down 3 and run over 2. You get to another dot that can be placed. (Place dots where the line meets a dot in the grid if that makes sense). Also if you go down another 3 and run another 2, you get to your next coordinate. The y=intercept is just basically where the line meets the y-axis so in this case, it's 0.

Hope this helps and sorry if that didn't make that much sense, Im bad at explaining things.

Please answer this math question for me

Answers

Answer:

D=90° E=103° F=77°

Step-by-step explanation:

D+90°=180°

D=90°

F+103°=180°

F=77°

E + F=180°

E=103°

The answer is 77• ...........,..,,,,,

Tristan paid $8 in tax on a purchase of $200. At that rate, what would be the tax on a purchase of $150?

Answers

Answer:

$6.00

Step-by-step explanation:

8/200=4% sales tax

150X .04=$6.00

A city manager wants
to know if city residents think the recreation center should have extended hours for teenagers. Which sample is likely to
se representative of the population of city residents?
A.) Roll a number cube to select one of the first six names in a list of females in the city, then select every ninth name.
B) Spin a spinner with sections labeled 1 through 5 to select one of the first five names in a list of people living alone in the city, the
select every 4th name.
C) Spin a spinner with section labeled 1 through 5 to select one of the first five names in a list of registered voters in the city, then
select every 9th name
D) Roll a number cube to select one of the first six names in a list of the city residents, then select every 15th name.

Answers

Answer:

A is the answer

Step-by-step explanation:

it is multiple choice and i know 100% that the answer is no, but i dont know the answer for the solution part

Answers

Answer:

NO

NO SOLUTION

Step-by-step explanation:

2t + 2e = 11  eqn 1

t + e = 6.5 eqn 2

this can be solved using simultaneous  equation

Multiply eqn 2  by 2

2t + 2e = 13

subtract eqn 1 from2

0 + 0 = 2

there is no solution

In the diagram below of triangle CDE, F is the midpoint of CE and
G is the midpoint of DE.If m ECD = 51 – 7x, and m
ZEFG = -8x +53, what is the measure of ZECD?

Answers

Answer:

link po ito po o hgugifhi zsuff/tkloi77r5 to 57t/

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Round your answer to the nearest tenth of a percent. O A. 26.2% . B. 30.5% O c. 31.1% O D. 28.8% Invisible Man Would anyone please be able to write me an essay on Invisible Man before midnight tonight. It must be 5 paragraphs long with a minimum of 8 quotes from the book. Also in MLA formatYou can pick from these 6 different topics. I need this essay or im gonna fail the class.1. How does the division between the narrators changing perception of himself and how others perceive him relate to the themes of blindness and invisibility?2. How does the narrators briefcase encapsulate his history, both culturally and over the course of the novel? Consider the contents of the briefcase at the end of the book. What might the briefcase tell us about the narrators identity as an individual and as a Black man?3. In the book Invisible Man, how does racism influence the narrators search for identity? 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But the final decision was his and his alone.Apply the strategies you've learned for drawing conclusions. What is this passage sayingabout President Truman's early years in office?President Truman knew from the very beginning that his decision was probably the wrong one.President Truman was under intense pressure from the very beginning of his term of office.President Truman never imagined that he would one day become President of the United States,President Truman lacked confidence and therefore let others make most decisions for him. The cafeteria sells four kinds of sandwiches. The table shows the number of each type of sandwich sold last week. Based on the results, if the cafeteria sells 60 sandwiches today, how many of those sandwiches are likely to be ham-and-cheese sandwiches? A. 14B. 7C. 28D. Not here Which of the following was NOT a direct attempt made to resolve Shays' Rebellion? A. The state of Massachusetts asked the federal government to intervene. B. 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