Allen and Ben both open new bank accounts with an initial

deposit of $500.00. Allen's account earns 4% interest compounded

monthly, while Ben's account earns 2% interest compounded

continuously. To the nearest cent, how much will be in Ben's

account after 4 years?

Answers

Answer 1
Use Continuous Compound Interest Formula:
A = Pe^rt
A = Future Amount
P = Initial Amount
r = Interest rate
t = Time

%2 = 2/100
= 0.02

A = 500.00e^(0.02)(4)
A = 541.6435338

Round to nearest cent:
A ≈ 541.64 -> Final Answer.

Related Questions

please help asap please

Answers

Answer: A.

Step-by-step explanation:

You have to find the y-intercept first and it is negative (0,-3) then you keep on plotting points. Hope this helps, I'm not very good at explaining things.

The volume of a pyramid with base area B and height h is 1/3 Bh. Jill makes candles shaped like pyramids to sell at a craft fair. The candles are 6 inches tall and have a base area of 4 square inches.

What is the volume of one of the candles?

Write your answer as a whole number or decimal.

Please HELP!!!!!

Answers

The candles volume is 8 inches
Volume of a pyramid is 1/3BH so that is the same as multiplying base times height and then divide by 3 so 4 times 6 is 24 and 1/3 of that or dividing it by 3 would be 8

The volume of one of the candles is 8 cubic inches.

Given that, the volume of a pyramid with base area B and height h is 1/3 Bh.

What is the volume?

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Height of pyramid = 6 inches and area of a base = 4 square inches

Now, volume =1/3 ×B×h

= 1/3 ×4×6

= 8 cubic inches

Hence, the volume of one of the candles is 8 cubic inches.

To learn more about the volume visit:

https://brainly.com/question/13338592.

#SPJ5

Which of the following numbers is rational?
A. 7.885
B. Pi with cubed 2
C. 0.144
D. 91

Answers

all numbers are rational except for B. Pi with cubed 2 is irrational

Find all solutions
x^3 + 36x=0

Answers

Step-by-step explanation:

[tex]x {}^{3} + 36x[/tex]

[tex]x( {x}^{2} + 36)[/tex]

[tex]x(x + 6i)(x - 6i)[/tex]

Set each to zero.

[tex]x = 0[/tex]

[tex]x = - 6i[/tex]

[tex]x = 6i[/tex]

Work out:
2/3p - 3/4 = 0.2

Answers

Answer:

2/3p - 3/4 = 2/10

2/3p = 38/40

p = 57/40 = 1 17/40

Step-by-step explanation:

Answer:

p=7/5

Step-by-step explanation:

2/3p-3/4=2/10

2/3p-3/4=1/5

40/60p-45/60= 12/60

40/60p=12/60+45/60

40/60p=56/60

p=(56/60)/(40/60)

p=(56/60)×(60/40)

p= 7/5

-6x+9y=-12
2x+y=0 i need help quick.
Need the answer for x and y

Answers

Answer:

x = 1/2  y = -1

Step-by-step explanation:

2x + y = 0

⇒ y = -2x

Substitute y = -2x into -6x + 9y = -12 to find x:

⇒ -6x + 9(-2x) = -12

⇒ -6x - 18x = -12

⇒ -24x = -12

⇒ x = 1/2

Substitute the found value of x into y = -2x to find y:

⇒ y = -2(1/2) = -1

If the length of the cushion measures 14 in, the width measures 7 in, and the height measures 4 in, how much fabric does Greg need to cover the cushion?

Answers

Answer:

364 square inches

Step-by-step explanation:

Surface area = 2(length)(width) + 2(length)(height) + 2(width)(height)

= 2(14)(7) + 2(14)(4) + 2(7)(4)

= 196 + 112 + 56

= 364 square inches

I multiplied each by two because there are two sides with the same dimensions.

Ray grew 10 flowers with 2 seed packets. With 3 seed packets, how many total flowers can Ray have in his garden? Assume the relationship is directly proportional.

Answers

Answer: 15

Step-by-step explanation: 10 divided by 2 is 5

So 5 x 3 = 15

Answer:

Well the 3 seed packets alone should be 15 but if u need to add to +10 then just add 10+15 aka the answer should be 25.

Step-by-step explanation:

Please solve! Thank you!!

Answers

Answer:

384

Step-by-step explanation:

you need to multiply the numbers below the blank,

48 x 8 = 384

Answer the question below

Answers

Answer:

x=-1

y=-5

Step-by-step explanation:

(7x+y)-(x+y)=-6

6x=-6

x=-1

-1+y=-6

y=-5

Answer:

(-1, -5)

Step-by-step explanation:

Solve x + y = -6 for x

[tex]x + y = -6[/tex]

Subtract y from both sides.

[tex]x + y - y = -6 - y[/tex] [tex]x = -y - 6[/tex]

Substitute -y - 6 for x in 7x + y = -12

[tex]7(-y-6)+y=-12[/tex]

Simplify both sides.

[tex]-6y - 42 = -12[/tex]

Add 42 to both sides.

[tex]-6y - 42 + 42 = -12 + 42[/tex] [tex]-6y = 30[/tex]

Divide both sides by -6.

[tex]\frac{-6y}{-6} = \frac{30}{-6}[/tex] [tex]y = -5[/tex]

Substitute -5 for y in x = -y - 6

[tex]x = -(-5) -6[/tex]

Simplify both sides of the equation.

[tex]x = 5 - 6[/tex] [tex]x = -1[/tex]

Therefore, the answer is (-1, -5).

At Harry's Farm, 45% of the animals are pigs. At Kylie's Ranch 1/10 of the animals are pigs. At which farm are a greater percentage of animals pigs?

Answers

Answer:

Harry's Farm

Step-by-step explanation:

1/10 as a percentage is 10%

and 45% is greater than 10%.

Please help me with this question

Answers

what is the question???

If x + 4y = 5 and 5x + 6y = 7, then what is the value of 3x + 5y?

Answers

Answer:

Option D

Step-by-step Solution:

=> x + 4y = 5

            5x + 6y = 7

=> 3(x + 4y = 5)

            2(5x + 6y = 7)

=> 3x + 12y = 15

            10x + 12y = 14

=> 3x + 12y = 15

            -10x - 12y = -14

=> -7x = 1=> x = -1/7=> x + 4y = 5=> -1/7 + 4y = 5=> 4y = 5 + 1/7=> 4y = 35/7 + 1/7=> 4y = 36/7=> y = 9/7=> 3x + 5y => 3(-1/7) + 5(9/7)=> -3/7 + 45/7=> 42/7=> 6

Hence, Option D is correct.

Consider the polynomial function. f(x)=x^4+2x^3-11x^2-5x-6. Which statement correctly describes the number of possible positive zeros and the number of possible negative zeros?

Answers

The statement which correctly describes the number of possible positive zeros and the number of possible negative zeros is

The number of positive zeros is 1. The number of negative zeros is either 3 or 1

From the polynomial function

[tex]f(x)=x^4+2x^3-11x^2-5x-6[/tex]

there is only one sign change

So, there is a maximum of 1 positive zero

[tex]f(-x) = (-x)^4 + 2(-x)^3 - 11(-x)^2 - 5(-x) - 6\\\\f(-x) = x^6 - 2x^3 - 11x^2 + 5x - 6[/tex]

Sign changes 3 times

So, number of negative zeros is either 3 or 1

For more information on polynomial function, visit

https://brainly.com/question/2833285

Which cube root function is always decreasing as x increases?
f(x) = 3x-8
f(x) = 3x - 5
f(x) = 3x -(5 - x)
f(x) = -3x+5

Answers

f(x)=3x-8f(x)=3x-5f(x)=3x-(5-x)=4x-5f(x)=-3x+5

Option D is correct

Graph attached

Ms. Johnson has a total of 325 papers to grade. She has graded 52 of the papers. How many papers does Ms. Johnson have left to grade?

Answers

Answer:

273

Step-by-step explanation:

325-52=273

There are total 325 paper to grade, then the number of papers Ms. Jonson have left to grade will be equal to 273 papers.

What are arithmetic operations?

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the data given in the question,

Total number of papers to grade = 325

The number of papers already graded = 52

Then, the number of paper left to be graded will be,

325 - 52

= 273 papers.

To know more about arithmetic operations:

https://brainly.com/question/13585407

#SPJ2

If the point (3,6) is on the graph of y=g(x), and h(x)=(g(x))^2 for all x, then there is one point that we can determine to be on the graph of y=h(x). What is the sum of the coordinates of that point?

Answers

Answer:

f(-x) =-f(x)

therefore if f(3) = 6, then f(-3)= -6

-3, -6 must be on the graph f(-x)

4x + 2xy + 6 - xy - 5y

Answers

Answer:

4x + xy + 6 - 5y

Step-by-step explanation:

If these numbers represent temperatures in degrees Celsius, which is the coldest?
7
-3
1/2
-0.8
0.8
-1/10
-2

Answers

Answer:

-3

Step-by-step explanation:

Because if you line them up without thinking about the celsius -3 is going to be the last after 0.

Extra: Here is them in chronological order -3,-2,-0.8,-1/10, 1/2, 0.8, 7

The temperatures given by

7-31/2=0.5-0.80.8-1/10=-0.1-2

The lowest temperature is the coldest.

It is -3°C

which problem can be solved by multiplying 10 times 5

Answers

10 times 5 is equal to 50

help, please the question and thank you

Answers

Answer:

the last option is the correct answer.

A rectangular field is ten times as long as it is wide. If the perimeter of the field is 1430 feet, find the length and width of the field?

Answers

Answer:

below

Step-by-step explanation:

The steps to solve this are:

The perimeter of a rectangle is given by p=2(l+w) where p is the perimeter, l is the length and w is the width. We are told the length of the field is 10 times the width so l=10w. Using this in the formula above we get:

2090=2(10w+w)

22w=2090

w=95 ft

l=950 ft

if 3m-5n÷3m+5n=1÷4 .find m:n​

Answers

Answer:

25/9

Step-by-step explanation:

hello there!!

3m-5n/3m+5n=1/4

as there will be cross multiply

12m-20n=3m+5n

12m-3m-20n-5n=0

9m-25n=0

9m=25n

therefore m/n=25/9

hope it helps!

thank you!!!

Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the solution to the following linear inequality in the coordinate plane.

Answers

Answer:

answered on graph below.

Answer:

See below

Step-by-step explanation:

Given inequality:

5x - y > - 3

Rewrite is as:

y < 5x + 3

Select two points on the line y = 5x + 3:

x = 0, y = 3x = 1, y = 5 + 3 = 8

Connect these two pints (0, 3) and (1, 8) with a dashed line.

Shade the region below the line (to the right).

See attached

Answer pls 7 pts
nonsense will be reported​

Answers

The answer will be b im very sure

Maria completely factored the expression 9x2 - 15x + 6.

Answers

Answer:

3 (2+3×2-5×)

you see the two but it at the button

HELP GEOMATRY:( I’ll award brainliest:)
Find the coordinates of the orthocenter of the triangle with the given vertices.
Write your answer as an ordered pair.
L(3,-2), M(5, 6), N(9,-2)

Answers

Answer:

MARK THE OTHER USER BRANLIEST

Step-by-step explanation:

Find the area of the parallelogram.

Answers

Answer:

1.12x14=208

Step-by-step explanation:

base X height

What is 5,239x713+10,963-563=

Answers

Answer:

3745807

Step-by-step explanation:

3745807 i hope i didn't calculate it wrong.

coach Sandberg want to order 127 sweatshirts will the total cost of the sweatshirts be greater than or less than 3,000

Answers

Answer:

How much are the sweatshirts?

Step-by-step explanation:

Other Questions
What emotions does Helen Keller describe having during the events in the chapter? Even if she doesn't say, "I felt sad," or some other emotion, try listing all the feelings it seems like she has, based on how she tells the story. Provide at least one example from the chapter that supports your answer. 1. Where did most of Japan's war material come from for their war in China? can someone help on thiissssds Johanna learns that the Law of Conservation of Energy states that energy is conserved, never lost. Which of the following best describes the process by which energy transfers from plants (sugars) to animals?Group of answer choicescellular respirationphotosynthesisCarbonationdecomposition Based on the following information, compute the cost of goods sold for Spengler Merchandising Corporation. Sales $400,000 Purchases $300,000 Beginning inventory $50,000 Ending inventory $90,000 Selling expenses $70,000 Administrative expenses $30,000 Accounts receivable $110,000 Multiple choice question. $140,000 $260,000 $340,000 $370,000 If 25 = 800rubles, how manyare in 992rubles? In passive transport, why do molecules need a transport proteins? What effect did the invention of the steamboat have on American colony I need help with number 5 and 7 please help me with this math problem 14) Cost of a pen: $1.95 Markup: 70% Discount: 40% Tax: 5% solve for x: (3x-4) degrees After the Walkers kill her beloved Sam, Miss Katherine " shootsshootsshot[shoots][shot] the sheriff" and " gavegave[gives][gave]gives him the kiss he had asked for" (Sachar 115). What does the 25th amendment say a president may do if he or she has a severe illness that prevents him or her from the roles of the president for a period of time The economy of the early Roman civilization relied on: farming,fishing,and international trade what would be the better unit to use to specify the distance from europe to the United states, miles or yards? find the value of x needed to make this equation true identify the complete subject in the sentence The celebratory dinner was roast beef and mashed potatoes pls help meIdentify the amplitude and period from the graph Un tomo de un elemento tiene 25 electrones y 15 neutrones cuanto protones tiene