Melanie invested $8,600 in an account paying an interest rate of 2\tfrac{7}{8}2 8 7 ​ % compounded monthly. Oliver invested $8,600 in an account paying an interest rate of 2\tfrac{3}{4}2 4 3 ​ % compounded daily. After 10 years, how much more money would Melanie have in her account than Oliver, to the nearest dollar?

Answers

Answer 1

Answer:

$139

Step-by-step explanation:

The formula for compound interest =

A = P(1 + r/n)^nt

Where

P = Principal

r = Interest rate

n = Compounding frequency

t = time in years

A = Amount after t years

For Melanie

Melanie invested $8,600 in an account paying an interest rate of 2 7/8% compounded monthly.

Rate = 2 7/8% = 23/8% = 2.875%

Time = 10 years

n = monthly = 12

First, convert R percent to r a decimal

r = R/100

r = 2.875%/100

r = 0.02875 per year,

Then, solve our equation for A

A = P(1 + r/n)^nt

A = 8,600.00(1 + 0.02875/12)^(12)(10

A = 8,600.00(1 + 0.002395833)^(120)

A = $11,460.64

For Oliver

Oliver invested $8,600 in an account paying an interest rate of 2 3/4 ​ % compounded daily.

Rate = 2 3/4% = 11/4% = 2.75%

Time = 10 years

n = daily = 360 days

First, convert R percent to r a decimal

r = R/100

r = 1.375%/100

r = 0.01375 per year,

Then, solve our equation for A

First, convert R percent to r a decimal

r = R/100

r = 2.75%/100

r = 0.0275 per year,

Then, solve our equation for A

A = P(1 + r/n)^nt

A = 8,600.00(1 + 0.0275/360)^(360)(10)

A = 8,600.00(1 + 7.6389E-5)^(3600)

A = $11,322.05

After 10 years, how much more money would Melanie have in her account than Oliver, to the nearest dollar?

This is calculated as

$11,460.64 - $11,322.05

=$ 138.59

Approximately to the nearest dollar = $139

Answer 2

Answer:

139

Step-by-step explanation:

it’s right


Related Questions

I think of a number I double it and subract two I get nine​

Answers

Answer:

5.5

Step-by-step explanation:

Let [tex]x[/tex] be equal to the number.

1) Convert the clues into an equation

If you double it ([tex]2x[/tex]) and subtract two ([tex]-2[/tex]), you get 9 ([tex]=9[/tex]).

[tex]2x-2=9[/tex]

2) Solve the equation

[tex]2x-2=9[/tex]

Add 2 to both sides

[tex]2x-2+2=9+2\\2x=11[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}=\frac{11}{2} \\x=5.5[/tex]

Therefore, the number is 5.5.

I hope this helps!

If a cordinate set (x,y) has two different scale factors this is a valid transformation..
A-yes
B-no
C-maybe​

Answers

I’m going to say A.yes but I’m not sure sorry.

Subtract 11/14-2/7?Make sure your answer is fully reduced.​

Answers

Answer:

1/2

Step-by-step explanation:

turn 2/7 into 4/14 then subtract that from 11/14 and you get 7/14 and the also can go as 1/2

Please explain why the correct answer is correct :)

Answers

Answer: your anawer is D

Step-by-step explanation:

The exchange at a post office is £1 =€1.17
How many euros would you get for £280

Answers

Answer:

327.6 Euros

Step-by-step explanation:

The exchange rate is 1 = 1.17 so to find euros multiply the total pounds by 1.17

280 * 1.17 =

327.6

Mary Beth is making 36 flower bouquets. 5/6 of the bouquets are tulips and the rest are roses. How many bouquets are roses?

Answers

Answer:

6

if 5/6 are tulips, that mean 1/6 are roses. you can find 1/6 of 36 by dividing by 6. 36÷6=6

You’ve probably heard police officers on television repeat the same line every single time they arrest someone: “You have the right to remain silent.” Have you ever wondered why they always say this? As it turns out, all police officers in the country are required by law to say these words, which are called “Miranda Rights.” They are named after a famous court case from 1966, Miranda v. Arizona.

THE CASE
In 1966, an Arizona man named Ernesto Miranda was accused of kidnapping and assaulting a teenage girl. After a few hours of questioning, he confessed his guilt to a police officer. Later, during his trial, the prosecution
used his confession as evidence to convict him. When the court did find him guilty, his lawyers appealed the case.

The case went all the way to the Supreme Court. The case related to the Constitution, because the 5th Amendment to the Constitution gives everyone the right to stay quiet when they are asked to confess a crime. Miranda’s lawyers argued that Miranda did not know about this right, and therefore his testimony
could not count as evidence in the trial.

THE RESULT
Since Miranda did not know about his 5th Amendment rights, his confession could not be used against him, and the Supreme Court ruled in his favor. The official court decision was over 60 pages long, but Chief Justice Earl Warren read the whole thing out loud for the court. It had two parts:

First, after the police arrest someone, they have to tell that person that they have the right to remain silent, just as it is stated in the 5th Amendment.

Second, the police also have to tell that person they have the right to use a lawyer in the trial and any time prior to that, and that if they cannot afford a lawyer, the government will provide them with one. These rights are both found in the 6th Amendment.

This is why you always hear police officers reciting these important rights whenever they arrest someone. They are called “Miranda Rights” today, named after Ernesto Miranda himself.

MIRANDA RIGHTS TODAY
The basic wording might sound familiar. “You have the right to remain silent. Anything you say can and will be used against you in a court of law. You have the right to an attorney. If you cannot afford an attorney, one will be appointed to you. Do you understand these rights as I have read them to you?” However, there are actually over 945 versions of the Miranda Rights! Every state and county can have its own wording.

Not only that, but the Miranda Rights also have to be translated into many different languages, in case the police arrest someone who does not speak English. There are also simplified versions, because it is important for minors
and the mentally disabled or mentally ill to understand their rights as well.

As it turns out, even 945 versions are not enough to make sure everyone understands what their rights really are. Some researchers have analyzed the wording of Miranda Rights from all over the country, and most versions are too complex for everyone to understand. Some are so complex, they are at the same reading level as a college accounting textbook!

It is extremely important that everyone can understand their right to remain silent and their right to be represented by a lawyer. The law says that, in order to use a suspect’s own confession against him, the court has to prove that the police read them their rights, they completely understood their rights, and that they chose to ignore those rights intentionally. The Constitution gave us these rights for a reason; make sure you understand them!

PART A: What does the word “convict” most closely mean as it is used in paragraph 2?
A. A person who has committed a crime
B. Deceiving someone as a legal tactic
C. To take someone to court
D. To find guilty of a crime

Answers

Answer:

D

Step-by-step explanation:

"Later during his trial, the prosecution used his confession as evidence to convict   him." The word "convict" in the paragraph is used to find guilty of crime because used to CONFESSION :) enjoy

-14x=168
Solve for x. Show your work

Answers

Answer:

The value of x = -12

Step-by-step explanation:

Given:

Equation;

-14x=168

Find:

The value of x

Computation:

-14x = 168

Divided -14 from both side

-14x / 14 = 168 / 14

- x = 12

The value of x = -12

(b) Beth multiplies a number by 3 and divides the answer by 10.
By what fraction has the number been reduced?

Answers

Answer:

hshshsjksbsbsnakakalaoaj you are my world

Find the discriminant of x2 – 5.2 + 2.

Answers

Answer:

Step-by-step explanation:

x² - 5.2x + 2

Discriminant = (-5.2)² - 4 ⋅ 1 ⋅ 2 = 19.04

Natalie earns $15 per hour. The store offers her a raise-a 4% increase per hour. After the raise, how much will Natalie make per hour?

Answers

Answer:

15,6

Step-by-step explanation:

15×104/100=15,6

She make 15,6$ per hour

More trig ratios see attachment

Answers

Answer:

TanX = 9/12, WX = 15, TanW = 12/9, CosX = 12/15

Step-by-step explanation:

Tan = opposite/adjacent, so 9/12

WX is the missing side, so solve it by taking the square root of (9^2) +( 12^2) and you get 15

Tan again, is opposite/adjacent, so 12/9

Cos is adjacent/hypotenuse, so 12/15

Hopefully this helps! Let me know if you have any questions

Solve the system of linear equations by substitution.
Y=2x
x +y =-9
The solution of the system is

Answers

Answer:

point form : (-3,-6)   equation form : x= -3 y= -6

Step-by-step explanation:

I need help with this

Answers

i can’t really see sorry could you take a better picture?

Does the set of ordered pairs {(3, 11), (6, 1), (6, 4), (15, 4), (18, 18)} define a function?

Answers

Answer:

D no because 18 is paired with itself

Enter the fraction as a decimal and a percent 3/5

Answers

0.6 I think that’s what you’re asking

Answer:

3/5 is 0.6 as a decimal and 60% as a percent.

Step-by-step explanation:

To fine the answer as a decimal, we just divide 3/5 and we get 0.6.  To find 3/5 as a percent, we will take 0.6 and multiply it by 100, which is 60%.

Point A and Point B are 5 units apart.
aments
The coordinates of Point A are (-1,2).
ndar
The x-coordinate for Point B is -1.
h
What are the possible coordinates for Point B?

Answers

Answer:

[tex]\boxed{\textsf{ The possible values of y is \textbf{ 3 or -3 }.}}[/tex]

Step-by-step explanation:

Here Point A and B are 5 units apart . The coordinates of A are (-1,2) and B is (-1,y) .We need to find the possible coordinates of y . So let's use Distance Formula :-

[tex]\rule{200}2[/tex]

★ Distance Formula :-

If we need to find the distance between two points say , [tex]\sf ( x_1,y_1 ) \:\:\:\: \& \:\:\:\: ( x_2,y_2) [/tex] , then we can find out the distance as ,

[tex]\boxed{\boxed{ \sf Distance =\sqrt{ ( x_2-x_1)^2+(y_2-y_1)^2 } }}[/tex]

[tex]\rule{200}2[/tex]

Put on the respective values ,

[tex]\sf\implies Distance =\sqrt{ ( x_2-x_1)^2+(y_2-y_1)^2 } \\\\\sf\implies Distance = \sqrt{ (-1+1)^2+(2-y)^2}\\\\\sf\implies Distance =\sqrt{ (2-y)^2 } \\\\\sf\implies 5^2 = (2-y)^2 \\\\\sf\implies 5 = \pm (2-y) \\\\\sf\implies 5 = (2-y) \qquad or \qquad 5= -(2-y)\\\\\sf\implies y = 2-5 \qquad or \qquad y = 5-2 \\\\\sf\implies\boxed{\pink{\frak{ y = \pm 3 }}}[/tex]

Jacob has a bag of marbles that contains 12 red, 5 blue, 8 green.

What is the probability he will select a blue marble?

Answers

Answer:

1:5

Step-by-step explanation:

Answer:

Blue has the least amount of marbles

Step-by-step explanation:

Red has the most, green has 8, but still more than blue. Blue has the least, and the human mind is attracted to things out of the ordinary. It is likely that our friend Jacob will choose a blue marble!

Factor as the product of two binomials.
22 + 11x + 18

Answers

Answer:

11x +40

Step-by-step explanation:

Add 22 and 18 and the result will be as above.

What goes on the green box?

Answers

11 because you would add the 14 and 2 which would be 9^16 then you would subtract 5 which would make it 9^11

A recipe uses 12 cups of flour for every 3 cups of sugar. If you were to make a recipe using 8 cups of flour, how much sugar should you use?

Answers

Answer:

2 cups!

im sure bc 4c for one 1c of sugar.

Step-by-step explanation:

12/3=8/x
12x=24
x=2
2 cups of sugar

A class of 30 children voted for their favorite actor who has played James Bond.

How many did not vote for George Lazenby?

Answers

Answer:

we know that the average number of

the class is 30 so we divide 1/10*30

equals 3 pupils

Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Answers

The ratio 3:1:2 can be used to divide the line segment into 6 “intervals”. Since the entire line segment is 30 units long, each interval is 5 units long. Because LM and NO are a combined 4 intervals, the length of LN is 20 units long.

Use the distributive property of multiplication to find 6 x 32

Answers

Answer:

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

Step-by-step explanation:

[tex]2(3 + 16) [/tex]

Find the greatest common factor of 9n² and 6m⁴?​

Answers

the GMF of 9n^2 and 6m^4 is 3

Suppose the diameter of a circle is 16 units . What is its circumference

Answers

Answer:

The circumference is 50.27

Step-by-step explanation:

Hope this helped Mark BRAINLIEST!!!!

I need help pleaseeeeeeeeeee

Answers

Answer:

man  this pmo i cant get the answer lol

Step-by-step explanation:

find the value of given expression

[tex] \sqrt{645 \times 645} [/tex]

Answers

[tex]208012.5[/tex]

Step-by-step explanation:

[tex] \sqrt{645 \times 645} [/tex]

[tex] = \sqrt{416025} [/tex]

[tex] = 208012.5[/tex]

Answer:

√{645×645}=√645²=±645 is your answer

Scale factor 3/4 Coordinates A(1,12) B(1,6) C (0,9) Triangle DEF is a dilation of triangle ABC What's the coordinates of triangle DEF?

Answers

Answer:

The answer is below

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation is rotation, reflection, translation and dilation.

Dilation is the increase or decrease in the size of a figure by a factor (k). If k > 1, then it is a enlargement and if k < 1, it is a reduction. If a point A(x, y) is dilated by a factor k, the new point is A'(kx, ky).

Triangle DEF is a dilation of triangle ABC by a factor of 3/4. Hence the coordinates of triangle DEF is:

D(3/4, 9), E(3/4, 9/2), F(3/4, 27/4)

Solve for r:
r over 8.45 = 15.2

1. r = 128.44
2. r = 23.65
3. r = 1.79

Answers

i’m back
r over 8.45 = 15.2
r = 128.44
The answer is 3) 1.79

You do 15.2/8.45
And you get 1 135/169 then you approximate it and that gives you 1.79
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