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

What is the value of n that makes 10n = 50 true?

Answers

Answer:

n=5

Step-by-step explanation:

50 divided by 10 = 5

Answer:

n=5

Step-by-step explanation:

To figure out n we must divide 50 and 10.

50 ÷ 10 = 5

So n=5

Evaluate ba+cd if a=7/8 , b=−7/16 , c=0.8 , and d=1/4 . Write your answer as a mixed number in simplest form.

Answers

Answer:

-117/640

Step-by-step explanation:

ba + cd

b= -7/16

a= 7/8

c= 08.(4/5)

d= 1/4

Hence it can be calculated as follows

-7/16×7/8 + 4/5×1/4

-49/128 + 1/5

-246+128/640

= -117/640

Answer: -2 11/20

Step-by-step explanation I did this and it is correct

Find the area of the isosceles triangle

Answers

Answer:

could you add the picture? then i will edit my answer to give you the actual answer

Step-by-step explanation:

A cube has a volume of 2197 m. Its surface is to be painted. Each can of paint covers about 40 m2
How many cans of paint are needed?

Answers

Answer:

25 cans

Step-by-step explanation:

Let the side length of the cube be s m

Therefore,

[tex] {s}^{3} = 2197 \\ \\ {s}^{3} = {13}^{3} \\ \\ \implies \: s = 13 \: m \\ \\ total \: surface \: area \: of \: cube \\ = 6 {s}^{2} \\ = 6( {13})^{2} \\ = 6 \times 169 \\ = 1,014 \: {m}^{2} \\ \\ no \: of \: cans \: of \: paint \: needed \\ = \frac{1014}{40} \\ = 25.35 \: \\ \approx \: 25[/tex]

what is the m<2 = ?

Answers

Answer:

The area equal to a square that is 1 meter on each side. Used for measuring areas of rooms, houses, blocks of land, etc

Step-by-step explanation:

The answer is 1 meter on each side

does 20, 40, 30 form a pythagorean triple

Answers

Answer:

Step-by-step explanation:

If it is a Pythagorean Triple the hypotenuse and the legs of a right triangle will all be integer values where

c^2=a^2+b^2

In this case, this isn’t even a right triangle as

20^2+30^2=40^2

400+900=1600

1300!=1600

because 1300 does not equal 1600 this is not a Pythagorean Triple.

Carla paid $129 plus 6% sales tax for a guitar. What
was the total cost of the guitar? PLEASE SHOW WORK!

Answers

Answer:

136.74

Step-by-step explanation:

6 percent of $129 is $7.74

129 plus 7.74 = 136.74

1. The function f(x) = -0.05(x2 - 26x - 120) represents the path coming out of the cannon. If x is the horizontal distance from the cannon, what does f(x) represent? (1 point)

Answers

Answer:

f(x) represents the vertical height of the cannon

Step-by-step explanation:

The given function is presented as follows;

f(x) = -0.05·(x² - 26·x - 120)

Given that 'x' represent the horizontal path of the cannon and the function describes the path of the cannon, we have that the vertical height reached by the cannon as it moves along the horizontal path is given as the function f(x)

Therefore, we have;

f(0) = -0.05·(0² - 26×0 - 120) = -0.05 × -120 = 6

f(0) = 6

The starting height of the cannon = 6

The maximum height reached by the cannon is given as follows;

f'(x) = d(-0.05·(x² - 26·x - 120))/dx = -0.05·d(x² - 26·x - 120)/dx = -0.05×(2·x - 26)

f'(x) = -0.05×(2·x - 26)

f'(x) = 0 At maximum height, therefore, we have;

-0.05×(2·x - 26) = 0

(2·x - 26) = 0

2·x = 26

x = 26/2 = 13

x = 13

f(13) = -0.05·(13² - 26×13 - 120) = 14.45

The maximum height = 14.45

Therefore;

f(x) = The vertical height of the cannon

Kimberly wants to get a backpack that cost $35 it is now on sale for 15% off she has to pay 7.5% sales tax what is the sales price of the backpack

Answers

Answer:

$44.26

Step-by-step explanation:

The computation of the sales price is shown below:

Its cost is $35

There is a sale off i.e. 15% off

And, the sales tax rate is 7.5%

SO, the sale price is

= $35 × 100 ÷ 85 + ($35 × 100 ÷ 85) × 7.5%

= $41.17 + $41.17 × 7.5%

= $41.17 + $3.09

= $44.26

Hence, the sales price is $44.26

Solve
a.2 (3x - 1) = 40
b.4(2x + 13) = 80

What is x​

Answers

the first answer is 40

then number B is 80 hope this helps

Please help I don’t understand what to do

Answers

ANSWER :

x⁰ = 360 degree- ( 246 + 66)

= 360 degree- 312

= 48

Answer:

x = 114

Step-by-step explanation:

Remark

You are trying to figure out what the arc is in degrees. The arc formula is

Intersect angle = 1/2( the furthest arc - the smaller closer arc).

Givens

Intersect angle = 66 degrees

Closer arc = x

Further or largest Arc = 246

Solution

66 = 1/2 (246 - x)                  Multiply both sides by 2 and remove the brackets.

132 = 246 - x                        Subtract 246 from both sides.

132 - 246 = - x

- 114 = - x                             Multiply both sides by -1

-1 (-114) = -1 * (-x)

x = 114

Johnny has 6 times 3 bottles of Dawn dish soap, how much Dawn dish soap does he have? Why does he NEED that many Dawn dish soap.

Answers

Answer:

I was wondering the same thing! like what was Johnny using that much soap for....? btw I loI that video

Which rational number is negative?
A. 2
B. -12/-18
C. +1/+2
D. +3/-12

Answers

D, the rest are all positive

i don’t know what you tried to put in that image but it’s all black

A. GIVE AN EXAMPLE OF THE FOLLOWING AROUND YOUR HOME POINTS 1. 2. 3. 4. LINE /RAY/SEGMENT 5. 6. 7. 8. PLANE 9. 10.

Answers

Sorry but I’m lost what are you talking about

complete this please, i really need your help ")​

Answers

Answer:

²,2.5,2.5+10,25.0

may it help you

PLEASE ANSWER FAST! What is the base of a 30-60-90 triangle with a height of 12 yd?

Answers

Answer:

side opposite 30° angle (shorter leg) = 6 cm

 

 side opposite 60° angle (longer leg) = 6√3 cm

Step-by-step explanation:

I'm not 100% sure if this is right but if its wrong i am so sorry.


Tell whether x and y show a positive, a negative, or no correlation.
so 12
45
40
20
15
10
.
5
5
10 15 20 25 30 35 40 45 SO

Answers

Answer:

her 9PM and a lot are a little too short

What is...............2(4x-3)-8=4+2x

Answers

Answer:

[tex]\huge\boxed{x=3}[/tex]

Step-by-step explanation:

[tex]\text{Solve the equation for 'x'.}\\\\\\2(4x-3)-8=4+2x\\\\8x-6-8=4+2x\\\\8x-14=4+2x\\\\8x-14+14=4+14+2x\\\\8x=18+2x\\\\8x-2x=18+2x-2x\\\\6x=18\\\\\frac{6x=18}{6}\\\\\boxed{x=3}\\\\\\\boxed{\text{The correct answer should be: } X= 3}\\\\\\\text{Hope this helps you!}[/tex]

What is the value of x?



Enter your answer in the box.

x =

PLEASE ANSWER I WILL MARK BRAINLIEST FOR CORRECT ANSWER!

Answers

Answer:

Step-by-step explanation:

(x+1)/58.8=35/49

x+1=58.8(35)/49

x+1=42

x=41cm

Answer:

41 cm

Reason its 41cm, just answered this

Using Cramer’s Rule, what is the value of x in the solution to the system of linear equations below?
x+3y=16
3x+y=8

Answers

9514 1404 393

Answer:

  x = 1

Step-by-step explanation:

The attached shows the matrices and the determinants. The value of x is ...

  x = ∆₁/∆ = -8/-8 = 1

The value of x in the solution to this system of equations is 1.

Answer:

A:  16 3 8 1 / -8 = 1

Step-by-step explanation:

got 100% on "Cramer's rule" edge 2022 quiz

Find the value of x. Round to the nearest whole number.

Answers

Answer:

A. 61 degrees

Step-by-step explanation:

tan x = 9/5

[tex]tan^{-1} x=1.8[/tex]

x≈60.9

please hurry i have less than five minutes
Would you expect the line in the question described above (y=−9.25x−1.75y=−9.25x−1.75 ) would have a slope that points up and to the left or up and to the right? Why?

Answers

Answer:

Up and to the left.

Step-by-step explanation:

I checked it on desmos graphing calculator

Roberto will roll a number cube and flip a coin. The faces of the number cube are labeled 1 through 6. The coin can land on heads or tails. What is the probability that the number cube lands on an even number and the coin lands on tails?

Answers

Answer: There are 3 even numbers on the cube. There are 2 sides to a coin. there is a 1/2 chance of the cube landing on an even number. There is a 1/2 chance of the coin landing on tails.

There is a 1/4 chance of these events occurring together.

How much fabric is needed to make this
tent if the tent includes a fabric floor?
4 ft
3 ft
7 ft
5.2 ft
Answer
F
35.8 ft?
G
54.6 ft?
H 71.6 ft
J
108 ft?
ologies Inc. 2021 - Edugence

Answers

Answer:

f

Step-by-step explanation:

Type the expression that results from the following series of steps:
Start with n, add 5, multiply by 4, then subtract 7.​

Answers

Answer:

n+5×4-7

Step-by-step explanation:

Which expressions are equivalent to 7x - 14? Check all that apply.
□ 14 - 7x
□x-2
□-(14 - 7x)
□ 7(x-2)
□ 3x - 14 + 4x
□ 2x - 10 + 5x + 4​

Answers

Answer:

-(14 - 7x)

7(x- 2)

3x - 14 + 4x

these are correct

4(−3x+8)=−16 Which value is the solution to the equation below?

Answers

Answer:

I'm 99.9% sure that x=4

Step-by-step explanation:

The answer is X=4 explanation in picture

evalute
1. |-7|
2. |15|
3. |0|
4. -|5|

help asap

Answers

1. 7
2. 15
3. 0
4. 5

Hopefully this is right, basically you are just turning negatives into positives I think.

Now you try. What is the base 10 representation of 1425?
29
47
72
325

Answers

Answer:

47

Step-by-step explanation:

i just did this in edge like 20 minuets ago

Answer:

there you go i know im very late but its just another answer eh whatever its fine

Step-by-step explanation:

11 is quotient of a number y and 6

Answers

11=y/6

---

hope it helps

sorry, I didn't know how to explain it

Answer: 11= y/6y= 66

Step-by-step explanation:

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