William invested $2,300 in an account paying an interest rate of 2 1/8% compounded quarterly. Nolan invested $2,300 in an account paying an interest rate of 2 3/4% compounded monthly. After 20 years, how much more money would Nolan have in his account than William, to the nearest dollar?

Answers

Answer 1

Answer:

$478

Step-by-step explanation:

After 20 years, William will have a total of $3,513.94

After 20 years, Nolan will have a total of $3,991.93

Difference = $478

William:

2300[1 + (.02125 ÷ 4)]^4 · 20

2300 · (1 + .0053125)^80

2300(1.5278)

$3,513.94

Nolan:

2300[1 + (.0275 ÷ 12)]^12 · 20

2300 · (1 + .0023)^240

2300(1.7356)

$3,991.93

Answer 2

After 20 years, $478 more money would Nolan have in his account than William, to the nearest dollar.

What is the compound interest?

Compound interest is when you earn interest on both the money you've saved and the interest you earn.

Formula:

A = P(1 + {r}/{n})^{n.t}

here, we have,

After 20 years, William will have a total of $3,513.94

After 20 years, Nolan will have a total of $3,991.93

Difference = $478

William:

2300[1 + (.02125 ÷ 4)]^4 · 20

=2300 · (1 + .0053125)^80

=2300(1.5278)

=$3,513.94

Nolan:

2300[1 + (.0275 ÷ 12)]^12 · 20

=2300 · (1 + .0023)^240

=2300(1.7356)

=$3,991.93

Hence, After 20 years, $478 more money would Nolan have in his account than William, to the nearest dollar.

To learn more on Compound interest click:

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Related Questions

Simplify this expression (xy^4)^6

Answers

x^6y^24


Hope it help

Answer:

x^6*y^24

Step-by-step explanation:

This will become:

[tex]x^6*(y^4)^6[/tex]

Next, multiply the exponents for y:

x^6 * y^24

So the answer is x^6*y^24

Hello! Some assistance with this question would be really helpful (:

Answers

The mode is the most common number in the data set. If there are two numbers that appear frequently (in this case 69 and 73) then this data set has two modes.

The median is the middle of the set of numbers (line them up from top to bottom).

In this case it should look something like:

68 68 69 69 69 69 70 70 71 72 72 73 73 73 73 75 78

If the whole list of numbers are even, then pick the two middle numbers and find their average. If it is odd, just choose the middle most number.

Mean is the average of all numbers. If you have 5 numbers, add them all up and divide by 5. If you have 10 numbers, add them all up and divide by 10.

What is the value of x in the equation below
6(x-8)=72

Answers

Answer:

x = 20

Step-by-step explanation:

6(x-8)=72

6x-48=72

6x-48+48=72+48

6x=120

6x/6=120/6

x = 20

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

#

Answer: x=20

Step-by-step explanation:

Distribute the 6 to the values in the parentheses

6x - 48 = 72

Add 48 to each side

6x = 120

Divide each side by 6

x = 20

Give three ratios equivalent to 30:40

Answers

Answer:

1. 60:80

2. 90:120

3. 120:160

Step-by-step explanation:

1. 30(2) : 40(2) = 60:80

2. 30(3) : 40(3) = 90:120

3. 30(4) : 40(4) = 120:160

Hello!!

Answer:

60:80

and

90:120

Hope this helps!!! :)

Two straight lines have equations y = p x + 4 y = p x + 4 and p y = q x − 7 p y = q x − 7 , where p p and q q are constants. The two lines meet at the point ( 3 , 1 ) ( 3 , 1 ) . What is the value of q q ?

Answers

Answer:

q = [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

The point of intersection (3, 1 ) is the solution to both equations

Using

y = qx - 7 and substituting x = 3, y = 1

1 = 3q - 7 ( add 7 to both sides )

8 = 3q ( divide both sides by 3 )

[tex]\frac{8}{3}[/tex] = q

I need help plz help me on this i will give u brainless on this question

Answers

Answer:

Equations: y=x+3 and y=-1/2x

solution: (-2,1)

Step-by-step explanation:

The vertex form of the equation of a parabola is y = 5(x-3)2 - 6.
What is the standard form of the equation?

Answers

9514 1404 393

Answer:

  y = 5x² -30x +39

Step-by-step explanation:

Multiply it out and collect terms.

  y = 5(x -3)² -6

  y = 5(x² -6x +9) -6 . . . . . expand the square

  y = 5x² -30x +45 -6 . . . . use the distributive property

  y = 5x² -30x +39 . . . . . . collect terms

_____

The expansion of a binomial square is ...

  (a +b)² = a² + 2ab + b²

In this problem, we have a=x, b=-3.

Answer:

y = 5x² -30x +39

the answer above me explains it better go look at it

The first night in a hotel costs 40 dollars. All additional nights cost 27 dollars. How many nights did we stay
at this hotel if the total bill was 148 dollars?

Answers

Answer:

5

Step-by-step explanation:

First, you would want to subtract the first nights cost from the bill, which you would get 108. And then you would want to divide 108 by how much it costs to stay additional night, so 108 divided by 27 = 4. But you have to remember to add the first night you stayed so it would be 5. I hope this helps :)

Answer:

4 nights

Step-by-step explanation:

148-40=108

108÷27=4

So, you spent 4 nights at the hotel.

If DF and GI are parallel lines and mGHE = 47°, what is mIHE?

Answers

Answer:

mIHE should be 133°

Step-by-step explanation:

A line is 180°, so, if you take 47° off you're left with 133.

Giving you an answer of 133°.

7 of 11
Next >
Practice: Find the Total
This meal costs $27.00.
A 7% sales tax is applied, followed by an automatic tip
of 18%.
What is the total with tax and tip?
Check My Work

Answers

Answer:

$33.75

Step-by-step explanation:

Tax: 27*0.07 = 1.89

Tip: 27*0.18 = 4.86

Total: 27 + 4.86 + 1.89 = 33.75

3. Your neighbor has a large tree on his property, and he's worried that the next serious storm will knock the tree onto his house. However, tree removal is an
expensive service. Since your neighbor's budget is limited, you offer to help him determine how high the tree is. If the distance from the house to the tree is
greater than the height of the tree, then the house should be avoid damage should the tree ever fall.

Answers

Answer:

ok we dont know the height of the tree

Step-by-step explanation:

45+72=5(5+9)

what is maya's eror

Mya did not write the common factor in the correct place.
Mya wrote two expressions that are not equivalent.
Mya did not use the correct operations in the equation.
Mya used a factor that is not common to 45 and 72.

Answers

Answer:

gggcfbgcjun

Step-by-step explanation:

gmkknnzksksjxndncudhudbiejufnridmwjdiendysheixnddyhdbeudbeudne8djeudneudhebdjrn8fjr

Answer:

117 just because it is atless

Find the product. Enter the product in simplest form.

Answers

Answer:

5

Step-by-step explanation:

You multiply/divide all the fractions with each other.

what is the sqaure root of 184​

Answers

Step-by-step explanation:

13.56 is the square root of 184

help, this is incorrect! (can you help with working out?)

Answers

Answer:

262 × 39 ÷ 100 = 10218 ÷ 100 = 102.18

Step-by-step explanation:

This is the correct answer your's is wrong.


The area in square feet, inside a rectangle is given by the expression 1600 x? What is the value
of the area if x = 15 feet?

Answers

Answer:1375

Step-by-step explanation:

X= 15 is given

X squared is 15x15 = 225

1600 - 225= 1375

Answer:

Step-by-step explanation:

1600x=      

x=15 feet

1600 x 15 Ft = 24000 Ft

Find the value of x acellus
Help

Answers

Answer: x = 3

because ΔABC has BD is the bisector of ∠ABC

=> AD/AB = DC/BC

⇔ x/6 = 4/8

⇔ x/6 = 1/2

⇔ x = 6.1/2

⇔ x = 3

Step-by-step explanation:

Answer: x=3

Step-by-step explanation:

Can someone help me with the exterior angle sum?

Answers

Answer:

no sorry but it's okay you at least guess

To find the value of a given exterior angle simply divide 360 by the number of sides or angles that the polygon has.

Triangle 360/3=120
Pentagon 360/5=72
Quadrilateral 360/4=90
Hexagon 360/6=60

)Elliot has been running a lawn care business since 2000. He cuts grass, trims, and weed whacks yards for his customers throughout the season. Each year, he has increased his fee by the same amount. The table shows what Elliot charged each customer for two given years of his business:


Year Lawn Care Fee
2000 $750
2010 $1350


A. What is the rate of change and initial value for Elliot’s business? How do you know?
B. Write an equation in slope-intercept form to represent the fees that Elliot charges each year.

Answers

Answer:

Rate of change = (1350 - 750)/(2010 - 2000) = 600/10 = $60

Initial value = $750

Equation is y = 60x + 750; where y is the amount charged to customer and x is the number of years from 2000.

I need help please!!!
Solve the system by substitution.
y=-4x
y=x-5

Answers

You would plug in y into the other equation.
-4x = x-5
Put x variables on one side
-4x - x = -5
-5x = -5
x=1
Then plug in 1 for x in any equation
y = 1 - 5
y = -4
So the answers are x=1 and y=-4
Hope this helped!

-2(x-3)+4x = -(-x+1) SOLVE EQUATION AND SHOW STEPS ...NEED ANSWER NOW

Answers

Answer:

x=-7

Step-by-step explanation:

-2(x−3)+4x=−(−x+1)

Step 1: Simplify both sides of the equation.

−2(x−3)+4x=−(−x+1)

−2)(x)+(−2)(−3)+4x=x+−1(Distribute)

−2x+6+4x=x+−1

(−2x+4x)+(6)=x−1(Combine Like Terms)

2x+6=x−1

2x+6=x−1

Step 2: Subtract x from both sides.

2x+6−x=x−1−x

x+6=−1

Step 3: Subtract 6 from both sides.

x+6−6=−1−6

x=-7

Write 14 more then a number (pre algebra)

Answers

Answer:

x + 14

Step-by-step explanation:

Let's break it down to key terms:

14

more (+)

a number (x)

So 14 more than a number is just adding 14 to x.

x + 14

Hope this helps :)

IF YOU $80 AND THEN GET $20 MORE,WHAT IS THE PERCENTAGE

Answers

Answer:

100% for 100 dollars

Step-by-step explanation:

i think so im not sure

Help please!
What transformation is this?

Answers

Answer:

Translation (x, y) → (x + 5, y + 7)

Step-by-step explanation:

It seems the translation:

(x, y) → (x + 5, y + 7)

R(-4, -1) → R'(-4 +5 = 1, -1 +7 = 6)

S(-6, 3) → S'(-6 + 5 = -1, 3+7 = 10)

Step by step pls I’ll make u brainly

Answers

Answer:

a = 6

Step-by-step explanation:

120 = 3 + 3(7a - 3)   (by PEDMAS, expand parentheses first by distributive property)

120 = 3 + 7a(3) - 3(3)

120 = 3 + 21a - 9

120 = 21a - 6    (add 6 to both sides and rearrange)

21a = 120 + 6

21a = 126   (divide both sides by 21)

a = 126/21

a = 6

Step-by-step explanation:

120-(3+3*(7*a-3))=0

Step by step solution :

STEP

1

:

Equation at the end of step 1

120 - (3 + 3 • (7a - 3)) = 0

STEP

2

:

STEP

3

:

Pulling out like terms :

3.1 Pull out like factors :

126 - 21a = -21 • (a - 6)

Equation at the end of step

3

:

-21 • (a - 6) = 0

STEP

4

:

Equations which are never true:

4.1 Solve : -21 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

4.2 Solve : a-6 = 0

Add 6 to both sides of the equation :

a = 6

One solution was found :

a = 6

A prescription for Singulair costs $14 for a month's supply. How much will this prescription cost for a year?
PLS HELP HW DUE IN 2MIN!!!!

Answers

168 dollars I hope this helps

I need help >?<

What is the solution is?

Answers

The solution is 3.
I hope I helped


For what value of x must ABCD be a parallelogram?
X=_______

Answers

Answer:The value of x must be 7 units.

Step-by-step explanation:

hope this helps

Solve 8x – 5 = 23 + 4x.

Answers

Answer: X equals 7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

First you want to simplify the equation

8x + (-5) = 23 + 4x

-5 + 8x = 23 + 4x

Then solve for x, but before we do that we !!!must!!! move all terms that have x  to the left. Everything else would go to the right.

So we add -4x to both sides ..

-5+ 8x + (-4x) = 23 + 4x + (-4x)

-5 + 4x = 23 + 4x + (-4x)

-5 + 4x = 23 +0

-5 + 4x  = 23

Then add 5 to both sides of the equation:

-5 + 5 + 4x = 23 + 5

0 + 4x = 23 + 5

4x = 23 + 5

4x = 28

Then divide each side by 4:

x = 7

And there you have it. The answer is 7. Hope this helps! :)

Simplify the expression. 7d + 3 - 2d

Answers

Answer:

5d+3

Step-by-step explanation:

just as you combine regular numbers you can combine terms that have the same variable raised to the same exponent, and 7d-2d=5d. So the equation simplifies to 5d+3

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