A deposit of $2,000 is made in a trust fund that pays 5.5% interest, compounded continuously. It is specified that the balance will be given to the college from which the donor graduated after the money has earned interest for 30 years. How much will the college receive? (Round your answer to the nearest cent.)

Answers

Answer 1

The formula for compounded continuously is A = pe^rt.

What is given?

(A)mount = ?
(P)rincipal = $2000
e = 2.7183 (always)
(r)ate = .05 (turn into decimal)
(t)imd = 20 years

Plug into formula:
A = 2000*2.7183^(.05*20)
A = $5436.60

Related Questions

HELP IT'S DUE IN AN HOUR

Answers

Answer:

i think 0.4

Step-by-step explanation:

What is the leading coefficient of the polynomial function f(x)=x-2x³-4?

Answers

Answer:

-2

Step-by-step explanation:

The leading coeefceint is the number in front if the highest degree. The highest degree is x^3 so the leading coefficient that -2.

-2 should be the correct answer

What is the value of x?
SUBMIT WORK FOR THIS QUESTION
(x + 40)
(3x)

Answers

Answer:x=35 because if you add the terms then your equation would be 4x+40=180 because it’s a 180 degree line.

Step-by-step explanation:

If gh = 31 and hi = 11, then gi

Answers

ANSWER=42

HOPE THIS HELPS YOU :)

Find the value of x in the acute scalene triangle that has the angles 114° and 37°

Answers

I would add 114 and 37 then subtract the total from 180 to get x=29

The recipe calls for a ratio of 3 sugar to 4 flour.
If you use 12 sugar
How much flour do you need

Answers

you would need 16 flour

10. Find the slope. Make sure to reduce.

Answers

it would be -1/2 . rise over run so it would rise 1 and run 2 and it’s going down so it means it’s losing and it’s negative .

Use the zero product property to find the solutions to the equation x2 + 12 = 7x.
Ox= -4 or x = 3
O x= -4 or x = -3
O x= -3 or x = 4
O x= 3 or x = 4

Answers

Answer:

x=-4 or x=3

Step-by-step explanation:

the property of zero in the function x2 + 12 = 7x is written all you need to do is to equate the zero product property

Answer:

Its d

Step-by-step explanation:

took the test

Find the 9th term of the geometric sequence 10, 40, 160, ...

Answers

The answer is 655,360

Math Exit Slip: Value-Mart is having a back -to - school sale on pencils. A pack of of 20 sells for $7.97, whereas a 12-pack costs $4.77. Which is the better buy?

Answers

Answer: The pack of 20.

Step-by-step explanation:

It is because a pack of 20 sells for 2.50 for each pencil, and the pack of 12 sells for 2.51 per pencil, so that means the pack of 20 is cheaper.

HELP ME!

a/7 - 2/3 = 5/6

Answers

Answer:

a=10.5

Step-by-step explanation:

182 is what percent of 130?

Answers

Answer:

140%

Step-by-step explanation:

1. A submarine is descending to examine the sea floor 6200 feet below the surface it takes a submarine four hours to make this decent what was the submarines change in depth per hour

2. Write an equation to represent the relationship between
the submarines elevation and time. Use y to represent the
elevation in feet and x to represent the time in hours.

3. Another submarines descent can be represented as Y equals -3100 X where y is the elevation and ask is time and x is time in hours how long will it take the submarine to make the next descent

Answers

Answer:

6,200 divided by 4 = 1500

Step-by-step explanation:

A hill on a dirt bike course is 5 feet tall. The valley below the hill is as deep as the hill tall. What integer represents the location of the bottom of the valley?

6th-grade math

Answers

the valley would be -5 feet

Answer:

Step-by-step explanation:

what is 1.453699 squared?

Answers

Well, if you're asking Brainly this question, I assume you are allowed to use a calculator.

1.453699 squared is 2.1132407826

Answer: 2.11324078

Step-by-step explanation: anything squared is just you multiplying that number by itself

if Nandi and thabo share R15,00 in the ratio 1:2 how many rands does each get

Answers

so your gonna do R1500 dived by 3 (1+2) which will total R500

so Nandi will get R500 and Thabo will get R1000

if you meant R15.00 so if u did then Nandi gets R5 and Thabo gets R10

Question 1
18 pt
A Merry-Go-Round revolves 6 times per minute, Jack is 10 feet from the center
while Bob is 14 feet from the center. (calculator allowed)
Jack's linear speed is (Select ]
feet per minute.
V
Bob's linear speed is Select !
feet per minute.

Answers

Bob's linear speed is higher than Jack's because the radius of the circle

around which Bob rotates is larger.

Responses:

Jack's linear speed is approximately 377 feet per minuteBob's linear speed is approximately 527.8 feet per minute

What is the relationship between linear speed and angular speed?

Given:

The rotational speed of the merry go round = 6 revolution per minute

Jack's distance from the center = 10 feet

Bob's distance from the center = 14 feet

The angular speed, ω, of the merry-go-round is found as follows;

[tex]\omega = \mathbf{\dfrac{6 \times 2 \cdot \pi}{1 \ minute}} = 12 \cdot \pi \ rad/minute[/tex]Linear speed = ω × r

Which gives;

Jack's linear speed = 12·π rad/min × 10 feet ≈ 377 feet per minuteBob's linear speed = 12·π rad/min × 14 feet ≈ 527.8 feet per minute

Learn more about angular speed and linear speed here:

https://brainly.com/question/8058144

What is the value of "x" at the y-intercept?

Answers

Answer:

Step-by-step explanation:

It took Jess 1 /13 minutes to print her 7 page book report. How long does it take for her printer to print a single page?

Answers

Answer:0.01098 minutes

Step-by-step explanation:

To Print 7 pages book report, Jess took = 1/13 minutes

to print a single page = she will take ??

Solving

7 pages book require = 1/ 13minutes

1 Page = (1 x 1/13)/ 7=0.01098 minutes

Colin invests £2350 into a savings account. The bank gives 4.2% compound interest for the first 4 years and 4.9% thereafter. How much will Colin have after 10 years to the nearest pound?

Answers

Answer:

£3,692

Step-by-step explanation:

First four years

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

P = £2350

r = 4.2% = 0.042

n = 1

t = 4

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

= 2350(1 + 0.042/1)^1*4

= 2350(1 + 0.042)^4

= 2350(1.042)^4

= 2350(1.5789)

= 2770.42

A = £2770.42

Next 6 years

P = £2770.42

r = 4.9% = 0.049

n = 1

t = 6

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

= 2770.42(1 + 0.049/1)^1*6

= 2770.42(1 + 0.049)^6

= 2770.42(1.049)^6

= 2770.42(1.3325)

= 3691.59

A = £3691.59

Approximately £3692

Carlos is a member of a gym. He pays a monthly fee plus a per- visit fee. The equation y = 3x + 10 represents the monthly amount Carlos pays for x visits.
if Carlos pays $85 in the last month how many times did he visit the gym?

Answers

Answer:

25 times

Step-by-step explanation:

To find how many times he visited, plug in 85 as y and solve for x:

y = 3x + 10

85 = 3x + 10

75 = 3x

25 = x

So, Carlos visited the gym 25 times

Find the missing length.

Answers

Answer:

Triangle 1 - 4

Triangle 2 - 10

Step-by-step explanation:

To find the missing side lengths of a right triangle, use the Pythagorean Theorem. The Pythagorean Theorem states that: a² + b² = c². In this equation, a and b are legs, and c is the hypotenuse.

Using this to solve triangle 1, you get the equation: a² + 3² = 5² or a² + 9 = 25. To solve for a², you subtract 9 from both sides to get a² = 16. To solve for a, find the square root of 16, which is 4.

Using the Pythagorean Theorem to solve for triangle 2, you get the equation: 6² + 8² = c² or 36 + 64 = c². Add 36 + 64 to get 100 = c². Find the square root of 100 to solve for c. The square root is 10.

Hope it helps!

How do I find the rate of change?
explain as if you were explaining it briefly to a stranger irl

Answers

Answer:

To find the average rate of change, we divide the change in the output value by the change in the input value.

(-2, 6),
(-2, 0)
(7,-5)
calculate the area of the triangle

Answers

Answer: Answer:

the answer to this is

Step-by-step explanation:

Can someone pl help. Thx

Answers

Answer:

3.10?

Step-by-step explanation:

i dont know sorry if its wrong

Please help me guys I do not know what to do at this point, but to come to yall and I really need help with this math this is due today and please I neeed you guys help I do not want to put any burden on you I am just stress thanks for understanding

Instructions: Tell weather it is a function or not and tell why

Answers

Answer:

YesYesNoNoYesYesNoYesNoNoYesNoYesNoYesYesNoYesYesNo

Step-by-step explanation:

A function does not have any repeating domains (x-coordinates).

Hope it helps!

which is greater 21.798 or 217.98?

Answers

Answer:

217.98 is greater.

Step-by-step explanation:

Think about this way. Which is the larger number, 217 or 21? 217, of course. The decimal point only adds a small fraction of a number to the whole, so it doesn't affect the value that much.

20.19÷4.6
Answer show your work

Answers

There you go I hope this helps

2. What is the slope of the line that
passes through the points shown in
the table?

Answers

the slope is 2. slope is change in the y values divided by change in x values

You are shipping some books to a friend. A small box will hold 6
books. A large box will hold 18 books. You shipped a total of 54 books
in 5 boxes. How many small boxes and how many large boxes did you
use? Define the variables that you use to write the system.

Answers

Answer:

2 large boxes, 3 small boxes

Step-by-step explanation:

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