David invested $340 in an account paying an interest rate of 2\tfrac{1}{8}2 8 1 ​ % compounded continuously. Natalie invested $340 in an account paying an interest rate of 2\tfrac{3}{4}2 4 3 ​ % compounded quarterly. After 17 years, how much more money would Natalie have in her account than David, to the nearest dollar?

Answers

Answer 1

Answer:

$53.83

Step-by-step explanation:

For David

David invested $340 in an account paying an interest rate of 2\tfrac{1}{8}2 8 1 ​ % compounded continuously.

r = 2 1/8% = 17/8% = 2.125% = 0.02125

t = 17 years

P = $340

For Compounded continuously, the formula =

A = Pe^rt

A = Amount Invested after time t

P = Principal

r = interest rate

t = time

A = $340 × e^0.02125 × 17

A = $ 487.94

For Natalie

Natalie invested $340 in an account paying an interest rate of 2\tfrac{3}{4}2 4 3 ​ % compounded quarterly.

r = 2 3/4 % = 11/4% = 2.75% = 0.0275

t = 17 years

P = $340

n = compounded quarterly = 4 times

Hence,

Compound Interest formula =

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

A = Amount Invested after time t

P = Principal

r = interest rate

n = compounding frequency

t = time

A = $340 (1 + 0.0275/4) ^17 × 4

A = $ 541.77

After 17 years, how much more money would Natalie have in her account than David, to the nearest dollar?

This is calculated as

$541.77 - $ 487.94

= $53.83

Hence, Natalie would have in her account, $53.83 than David


Related Questions

HELP PLS GUY. 15 POINTS
Its due by midnight

Answers

Answer:

9^8

Step-by-step explanation:

you multiply the exponents

2) The coordinates of the vertices of quadrilateral ABCD are A(-1,8),
B(0,4), C(-2,1), and D(-4,3). Quadrilateral A'B'C'D' is the image of
quadrilateral ABCD after a rotation of 180° about the origin. State the
coordinates of the vertices of A'B'C'D'.

Answers

Answer:

The coordinates of vertices of A'B'C'D' are:

A'(1,-8), B'(0,-4), C'(2,-1) and D'(4,-3)

Step-by-step explanation:

When a point (h,k) is roated 180 degrees about the origin it becomes (-h,-k) which means that the new point after rotation is the negative of the previous.

Given vertices are:

A(-1,8),  B(0,4), C(-2,1), and D(-4,3)

The new vertices will be:

[tex]A(-1,8) => A'(1,-8)\\B(0,4)=> B'(0,-4)\\C(-2,1)=> C'(2,-1)\\D(-4,3)=> D'(4,-3)[/tex]

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Answers

Answer:

5/6

Step-by-step explanation:

dividing means you gotta flip it to multiplication.

1 times 5 = 5

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Answer:

min 5 max 11

Step-by-step explanation:

aloud to go up or down 3

find min and max

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please explain what to do .​

Answers

Answer:

x = -10

Step-by-step explanation:

First I would expand by distributing the left side.

Using distribution the new equation would be: -2x - 8 = 12

Now, I would move constants to one side and keep variables on the other side.

Doing this, my new equation would be -2x = 20

Now I would divide both sides by negative 2, giving the answer x = -10

Answer: -10

Step-by-step explanation:

the question is on then sheet ​

Answers

Answer:

6[tex]m^{2}[/tex][tex]n^{2}[/tex]-4mn+6

Step-by-step explanation:

PLEASE MARK BRAINLIEST I ONLY NEED 1 MORE!!!!!!!!!

[tex] = (11 {m}^{2} {n}^{2} + 2mn - 11) - (5 {m}^{2} {n}^{2} - 6mn + 17)[/tex]

[tex] = 11 {m}^{2} {n}^{2} + 2mn - 11 - 5 {m}^{2} {n}^{2} + 6mn - 17[/tex]

[tex] = (11 {m}^{2} {n}^{2} - 5 {{m}^{2} } {n}^{2} ) + (2mn + 6mn) + ( - 11 - 17)[/tex]

[tex] = 6 {m}^{2} {n}^{2} + 8mn - 28[/tex]

The other person is wrong

I can say that for sure.

Write an equation for the line shown on the graph below.

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Answers

It’s A. Because you’ll get 50/5 and when u divide it’s 10x

HELP PLEASE!!!!!!!
When the Duchess estimated it, she estimated 6190. Then the Countess estimated it and got 5320. How much greater was the Duchess estimate??

Answers

Answer:

870

Step-by-step explanation:

6190-5320=870

Answer:

870 (or 900)

Step-by-step explanation:

If you estimate you round:

6190- 6200

5320- 5300

6200- 5300= 900

Or you could do simple subtraction...

6190- 5320= 870

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Answers

Answer:

Step-by-step explanation:

Hope this helps. Pls give brainliest.

Answer:

I believe it would be 2 x 3.14= 6.28

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Step-by-step explanation:

Percentage Questions

Answers

Answer:

At the end of three months, you will owe £767

Step-by-step explanation:

First you find 7% of 1000

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70 is added to the £1000 every month so

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Answer:

one trillion

Step-by-step explanation:

which function has a restricted domain

Answers

Answer:

Restricted Domain. The use of a domain for a function that is smaller than the function's domain of definition. Note: Restricted domains are commonly used to specify a one-to-one section of a function.

Step-by-step explanation:

GOT U bro

89 brainly points for this!

The phrase miles per hour is an example of a rate of change. What other rates of change commonly used in everyday speech can you think of?

Answers

Answer:

kph - Kilo meters per hour, Mps - Minutes per second

Step-by-step explanation:

i hope this helps you out!

Answer:

-Kilometers per hour

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Step-by-step explanation:

Naomi surveyed 480 of the students in her school about their favorite color. 95% said their favorite color was red. How many students favorite color was red?

Answers

Answer:

77

Step-by-step explanation:

88e3838383883

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Answers

Answer:

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Answers

Answer: for.-7x+4

Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:


1. Dilate A using P as the center of dilation and a scale factor of 3. Label the new point
A'.
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Answers

Answer:

Step-by-step explanation:

Rule for the dilation of a point by a scale factor 'k',

(x, y) → (kx, ky)

If we impose this rule in this problem,

k = [tex]\frac{\text{Distance of A' from P}}{\text{Distance of A from P}}[/tex]

1). If k = 3

   Therefore, Distance of A' from P = 3(Distance of A from P)

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2). If k = 2

   Distance of B' from P = 2(Distance of B from P)

   Since, B is on circle 2, B' will be on circle 4.

Now we can plot these points A' and B' on the graph.

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1)

Given :

Dilate A using P as the center of dilation and a scale factor of 3.

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2)

Given :

Dilate Busing P as the center of dilation and a scale factor of 2.

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Answers

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Answers

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What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

2x – 3y = 13 and y = 5x - 2​

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Read this I have you some hint that should help you a bit don’t mode the writing lol

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Answers

Answer:

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Answers

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Step-by-step explanation:

evaluate the function: F(x)=-3+7 when x=6
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Answers

Answer:

f ( 6 ) = 11  

Explanation:We want to plug in  6  for wherever we see x in the original function.

f

(

6

)

=

3

(

6

)

7

f

(

6

)

=

18

7

f

(

6

)

=

11

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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