Melanie invested $9,800 in an account paying an interest rate of 4.5 compounded quarterly. Amelia invested $9,800 in an account paying an interest rate of 4.75 compounded continuously. After 20 years, how much more money would Amelia have in her account than Melanie, to the nearest dollar?

Answers

Answer 1

Answer:

$13,082.60 more

Step-by-step explanation:

Melanie:

[tex]A=P(1+\frac{r}{n})^(20)\\ A=9800(1+\frac{.045}{4})^(20)\\A=$12,257.36[/tex]

Amelia:

[tex]A=Pe^(rt)\\A=9800e^(.0475*20)\\A=$25,339.95[/tex]

Amelia-Melanie= $13,082.60


Related Questions

Help on this pleases.

Answers

Answer: ASA

Step-by-step explanation:

Which is true [x]>=x or [x]<=x ?

Answers

Answer:

[x] ≥ x

Step-by-step explanation:

The absolute value of a number is greater than or equal to itselfTherefore, the correct answer is :⇒ [x] ≥ x

Express a in terms of c and p 4(2a+p) = c+p+a

Answers

Answer:

 [tex]\frac{c-3p}{7}[/tex]

 

Step-by-step explanation:

1) 4(2a+p)=c+p+a

2) Expand: 8a+4p=c+p+a

3) subract a and 4p: 7a=c-3p

4) Divide: a=[tex]\frac{c-3p}{7}[/tex]

Answer provided by Education Point

The sales tax in your state is 5%. If a car cost 16,700 what is the total cost, including tax.

Answers

Answer:

17,535 dollars

Step-by-step explanation:

5% of 16,700 is 835, so add the two together and you get your answer.

Hello, could you please help me with my homework?
Question:-
[tex]\pmb{(x+8)^5}[/tex]
Use the Binomial Theorem.
Kindly do not lose your precious time by spamming; instead, please provide a high-quality answer.
I need help A.S.A.P.; this is due today.

Answers

Answer:

[tex]{x}^{5} + 40{x}^{4} + 640{x}^{3} + 5120 {x}^{2} + 20480{x}^{}+ 32768 [/tex]

Step-by-step explanation:

This too follows the as same process as

https://brainly.com/question/27201053

recall binomial theorem,

[tex] \displaystyle (a + b {)}^{n} = \sum _{k = 0} ^{n} \binom{n}{k} {a}^{n - k} {b}^{k} [/tex]

Given binomial:

(x+8)

comparing it to (a+b)ⁿ , we acquire:

[tex]a \implies x[/tex][tex]b\implies 8[/tex][tex]n\implies 5[/tex]

Now substitute:

[tex] \displaystyle (x +8 {)}^{5} = \sum _{k = 0} ^{5} \binom{n}{k} {a}^{5- k} {b}^{k} [/tex]

To convert the summation into a sum, substitute the values from k=0 to k=5 into the expression which yields

[tex] \displaystyle (x + 8{)}^{5} = \binom{5}{0} {x}^{5 - 0} \cdot {8}^{0} + \binom{5}{1} {x}^{5 - 1} \cdot {8}^{1} + \binom{5}{2} {x}^{5 - 2} \cdot {8}^{2} + \binom{5}{3} {x}^{5 - 3} \cdot {8}^{3} + \binom{5}{4} {x}^{5- 4} \cdot {8}^{4} + \binom{5}{5} {x}^{5 - 5} \cdot {8}^{5} \\ \implies(x + 8 {)}^{5} = \binom{5}{0} {x}^{5} \cdot 1 + \binom{5}{1} {x}^{4} \cdot {8} + \binom{5}{2} {x}^{3} \cdot 64+ \binom{5}{3} {x}^{2} \cdot 512 + \binom{6}{4} {x}^{1} \cdot 4096+ \binom{5}{5} {x}^{0} \cdot 32768\\ \implies(x + 8{)}^{5} = 1 \cdot {x}^{5 } \cdot 1 + 5\cdot{x}^{4} \cdot {8} + 10 \cdot {x}^{3} \cdot 64+ 10 \cdot {x}^{2} \cdot 512 + 5 \cdot{x}^{1} \cdot 4096+ 1 \cdot {x}^{0} \cdot 32768 \\ \implies \boxed{ (x + 8 {)}^{5} = {x}^{5} + 40{x}^{4} + 640{x}^{3} + 5120 {x}^{2} + 20480{x}^{}+ 32768 }[/tex]

and we're done!

**20 POINTS + BRAINLIEST** Please help me with the math question!

Answers

Answer:

1/6.2=15/x

Step-by-step explanation:

15:x=1:6.2

Answer:

D. [tex]\frac{1}{6.2} =\frac{15}{x}[/tex]

93 meters

Step-by-step explanation:

Howard has a scale model of the Statue of Liberty

The model is 15 inches tall.The scale of the model to the actual statue is 1 inch: 6.2 meters

1 inch = 6.2 meters

15 inches = ? meters

[tex]\frac{1}{6.2} =\frac{15}{x}[/tex] <= cross multiply

1x = 93  <== divide both sides by 1

/1     /1

x = 93 meters <== the height of the model, our final answer

Hope this helps!

simplify 10 to the square root

Answers

it’s already in its simplest form _/10

Answer: 10

Step-by-step explanation: that is the answer because you can not simplify it any further

A jeepney has an original speed of 30 m/s and a final speed of 40 m/s. Compute its
acceleration if the time of travel is 10 seconds.

Answers

Answer:

1 m/s/s.

Step-by-step explanation:

Acccelaration = rate of change of speed

= (40 - 30) /10

= 10/10

= 1 m/s/s.

x-5=16 what operation would you have to do on both sides of the equation to get x by itself

Answers

Answer:

Add 5 to both sides

Step-by-step explanation:

x-5=16

+5  +5

x=21

Answer:

Addition

Step-by-step explanation:

x - 5 = 16

x - 5 + 5 = 16 + 5

x = 21

Rhonda has 12 marbles more than douglas . Doughlas has 6 marbles more than bertha . Rhonda has twice as many marbles as bertha has . How many marbles does douglas have​

Answers

24

Explanation:

R = D + 12 (1)

D = B + 6 (2)

R = 2*B (3)

Put (3) into (1): 2*B = D + 12 (4)

Rewrite (2) as B = D - 6 and put this into (4): 2*(D - 6) = D + 12

So: 2D - 12 = D + 12

Subtract D from both sides and add 12 to both sides to get: D = 24

(not suree)

Keith writes the numbers 1 to 20 on pieces of paper and places them in a hat.
the probability of randomly selecting a number less than 16 is 3/4 choose the
likelihood that best describes the probability of this event.

Answers

To get the answer use what you know divide it and use Algebra if you know any and also ask for help scan your math that’s what Brainly is for trust me

Answer:

Likely

Step-by-step explanation:

took the test

bro no one is helping??

Answers

Answer:

A-6 , B-19 , C-55 , D-119 , E-70

Step-by-step explanation:

Subtract 68 from 138 to find out how many 8th graders in total, and that will get you blank E.

Subtract 64 from 70 (E) to find out blank A.

Add 6 and 13 get the total for TV, blank B.

To get blank C, you need to subtract 13 from 68.

For the last blank, blank D, you need to add 55 (blank C) and 64, which will give you 119.

How can (xy)/(x+y) be simplified?

Answers

Answer:

 xy

---------

x + y

Step-by-step explanation:

(xy)

-----  is in its simplest form.

(x + y)

I hope this helps!

The base of a solid S is the region bounded by the parabola x^2=8y
Cross-sections perpendicular to the yyy-axis are equilateral triangles.
Determine the exact volume of solid SSS.

Answers

Step-by-step explanation:Updated answer is the second one

which expression shows 48+36 written as a protuct of two factors

Answers

Answer:

12(4+3)

Step-by-step explanation:

Factor out all of the problems.

Starting with 4(12+4)

This means (4*12)+(4*4)

48+16 is the answer to this

this isn't 48 + 36

12(4+3) is next

12*4 = 48

12*3 = 36

48+36 = 48 + 36

Therefore 12(4+3) is your answer

hope that helps!

hope this is what your looking for

If tangent theta = negative three-eighths, which expression is equivalent to cotangent theta?

Answers

The value of  [tex]\rm cot\theta = \frac{1}{ -\frac{3}{8} }[/tex]  or  [tex]\rm cot\theta = -\frac{8}{3}[/tex] the option first is correct.

It is given that the  [tex]\rm tan\theta = -\frac{3}{8}[/tex]

It is required to find which expression is equivalent to [tex]\rm cot\theta[/tex].

What is the trigonometric ratio?

The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

We have  [tex]\rm tan\theta = -\frac{3}{8}[/tex] , which is a ratio of side opposite side of an angle to the side adjacent to the angle.

We know [tex]\rm cot\theta[/tex] is a ratio of the side adjacent to the angle to the side opposite to the angle ie. it is the opposite of the [tex]\rm \tan\theta[/tex] ie.

The  [tex]\rm tan\theta = \frac{1}{cot\theta}[/tex]

or    [tex]\rm cot\theta = \frac{1}{tan\theta}[/tex]

Putting the value of [tex]\rm tan\theta[/tex] in the above equation, we get:

[tex]\rm cot\theta = \frac{1}{ -\frac{3}{8} }[/tex]  

Or

[tex]\rm cot\theta = -\frac{8}{3}[/tex]

Thus, the value of  [tex]\rm cot\theta = \frac{1}{ -\frac{3}{8} }[/tex]  or  [tex]\rm cot\theta = -\frac{8}{3}[/tex].

 

Know more about trigonometry here:

brainly.com/question/26719838

Answer:

first option

Step-by-step explanation:

Question is the PNG file.

Answers

Answer:

volume = x(x + 2)(x - 1)

soil = 30 ft³

Step-by-step explanation:

volume of a cuboid = width x length x height

width = x ftlength = (x + 2) ftheight = (x - 1) ft

Substituting given values into the equation:

⇒ volume = x(x + 2)(x - 1)

If width = 3ft, then x = 3:

⇒ volume = 3(3 + 2)(3 - 1)

                 = 3(5)(2)

                 = 30 ft³

Please help when you it’s important

Answers

The area of the sandbox is 5 x 5 = 25 square feet.


the cost of the sand = 25 square feet x 1.47 = $36.75


Answer: $36.75

Answer:

36.75

Step-by-step explanation:

5*5=25 ft^2

(area)

25*1.47=36.75

sand cost


Triangle ABC has side lengths AB= 25 units, BC = 24 units and AC = 7 units. Triangle ABC is mapped to triangle A'B'C' by a reflection across a
horizontal line and translated left 12 units
What is the length of segment B'C'?
A. 25 units
B. 12 units
C. 24 units
D. 7 units

Answers

Answer: C. 24 units

Step-by-step explanation:

C is the correct answer. This is because the length of the segment doesn't change when reflected along the x-axis or translated left or right. The length of a segment only changes if the given figure is stretched or compressed, which doesn't occur in the given case or question.

The answer is C. 24 units

Find X.

A. 32
B. 8
C. 16
D. 24

Answers

Answer: D

Step-by-step explanation:

Please help its decimals

Answers

Each line they are adding 4.96


11.72 + 4.96 = 16.68

Answer:

the correct answer is 16.68

What is the median of this data set? {12, 8, 9, 12, 10, 13, 8} Enter your answer in the box.

Answers

Answer:

the median is 10

Step-by-step explanation:

8, 8, 9, 10, 12, 12, 13

8, 9, 10, 12, 12

9, 10, 12

10

Answer:

10

Step-by-step explanation:

What is the sum of all integers between square root of 8 and square root 113?
Answer: The sum is____

Answers

The integers between square root of 8 and square root 113 are the numbers without decimal points

The sum is 52

How to detemine the sum?

The square root of 8 is 2.82

The square root of 113 is 10.63

The integers between 2.82 and 10.63 are:

3, 4, 5, 6, 7, 8, 9 and 10

The sum of these integers is represented as:

Sum = 3 + 4+ 5+ 6+ 7+ 8+ 9 + 10

Evaluate the sum

Sum = 52

Hence, the sum is 52

Read more about integer sum at:

https://brainly.com/question/10853762

Marcus is building a fort. He needs 5 pieces of plywood each with an area of 56.25 square feet for each. If the plywood costs $1.79 per square foot, how much money will Marcus need to build his fort.

Answers

Simple answer (not exactly sure what unit your in)
56.25 X 5 = 281.25
281.25 X 1.79 = 503.4375
For 5 pieces of plywood it would equal a total of 281.25 square feet, and it would cost 503.43$

Find the equation of the line that is perpendicular to the line Y equals 4X and passes through the point -10, -6. Write the equation in point slope form

Answers

Answer:

y + 6 = - [tex]\frac{1}{4}[/tex] (x + 10)

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 )

y = 4x ← is in slope- intercept form

with slope m = 4

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{4}[/tex]

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = - [tex]\frac{1}{4}[/tex] and (a, b ) = (- 10, - 6 ) , then

y - (- 6) = - [tex]\frac{1}{4}[/tex] (x - (- 10) ) , that is

y + 6 = - [tex]\frac{1}{4}[/tex] (x + 10)

A rectangle has a perimeter of 48 kilometers and a height of 10 kilometers. What is the
length of the base?
kilometers

Answers

We know, perimeter of the rectangle = 2(l +b)

where, l = length and b = breadth

Here, the perimeter of the rectangle is 48 kilometers and the height is of 10 kilometers. We can take height as the breadth.

=> Perimeter = 2(l + b)

=> 48 = 2(l + 10)

=> 48/2 = l + 10

=> l + 10 = 24

=> l = 24 - 10

=> l = 14 kilometers

Fin each missing measure. Round all answers to the nearest tenth. Pls Help!!

Answers

Answer:

  6.2 units

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relations between trig functions and sides of a right triangle.

Common segment

To find the value of x in this figure, we need to know the length of the common segment between the two triangles. That segment is opposite the 53° angle, so can be found using the sine relation:

  Sin = Opposite/Hypotenuse

  Opposite = Hypotenuse × Sin = 30·sin(53°) ≈ 23.9591

__

Missing measure

The side marked x is adjacent to the marked angle in that triangle, so the relevant relation is ...

  Cos = Adjacent/Hypotenuse

  Adjacent = Hypotenuse × Cos = 23.9591·cos(75°) ≈ 6.20106

The length of the side marked x is about 6.2 units.

what are the coordinates of a point where graph of y=x2+3x+2 crosses the x axis

Answers

Answer:

x= -2, 0

Step-by-step explanation:

What is the distance between
(-2,-4) and (-2, -8)?
2 units
4 units
12 units

Answers

Answer:

4units is the answer to the question

Answer:

4

Step-by-step explanation:

took the k12 test

Find the pair of acute angles that corresponds to the solution of the equation sin(3x + 11)° = cos(–3x + 79)°

Answers

Answer:

x = 8

Step-by-step explanation:

3x + 2 + 7x + 8 = 90

10x + 10 = 90

10x = 80

x = 8

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