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

For which equation is x = 1 a solution?
A 4 - x = 1
B 4x = 1
C X divided by 3 = 4
D X/4 = 1

Answers

I believe it’s B but I don’t know

1.
Write down the equation of a line which has a slope of 5 and crosses the y-axis at 8.
Give your answer in slope-intercept form.

Answers

y = mx + c so
y = 5x + 8

Find each difference.
(-6s2 + 12s – 8) – (352 + 85 – 6) =
-952 + 45 – 14
_952 + 45 - 2
_952 + 20s – 14
O_952 + 20s - 2
DONE

Answers

The guy below is right

Write an equation of the perpendicular bisector of the segment with endpoints M(1,5) and N(7,−1).

Answers

Answer:

Step-by-step explanation:

find the perpendicular bisector of a line segment with endpoints  

(ii) Find a point on the perpendicular bisector (the midpoint of the given line segment) using the midpoint formula:

( x 3 , y 3 ) = ( x 1 + x 2 2 , y 1 + y 2 2 )

If an airplane boards 16 people every 3 minutes how long would it take to board all 150 passengers

Answers

Answer:

28 or 29 minutes

Step-by-step explanation:

multiply 150 and 3 then divide by 16 which gives you 28.12 but I guess you can round it to 28 or 29

Answer:

28 or 29 minutes u choose

Step-by-step explanation:

16 x 9 = 144 for 27 minutes

16 x 10= 160 for 30 minutes

I'd go with 28

There are 65 ounces of flour in the bag how many pounds is 65 ounces

Answers

Answer:

4.0625 lbs

Step-by-step explanation:

16 ounces per pound

Divide 65 by 16 to get your answer

Answer:

4 1/16 pound

Step-by-step explanation:

One pound is 16 ounces.

65/16 = 4 1/16 pounds.

Ms. Johnson owns a cabinet business that installs cabinets in kitchens. Her employees can install 2/3 of a
kitchen cabinet set in 1/5 of an hour.
How many kitchen cabinet sets can be installed by her workers in 1 hour?
Express your answer as an improper fraction

Answers

Answer:

10/3 of a kitchen cabinet

Step-by-step explanation:

To make a full hour, 1/5 would be multiplied by 5- and so would their progress.

2/3 * 5 = 10/3, which is also an improper fraction.

Identify the base and exponent of b3

Answers

Answer:

The base is b3 I am pretty sure and the exponent is 1. Since there is no exponent I would say 1 as my exponent please wait for more answers if needed.

ik this isnt mathematics but heres my question.

6. A girl is riding her skateboard down a hill. She speeds up as she goes down the hill, and the wheels get a little warmer. Saved to this PC What energy transformations happen while she is going down the hill?
A. Motion energy (kinetic energy) is transformed into gravitational potential energy an thermal energy
B. Gravitational potential energy is transformed into motion energy (kinetic energy) and thermal energy. C. Gravitational potential energy is transformed only into motion energy (klnetic energy).
D. No energy transformations are involved while she is going down the hi D​

Answers

Answer:

B

Explanation:

the wheels are getting warmer so it would have to be thermal energy, hope this helps :)

Gravitational potential energy is transformed into motion energy ,kinetic energy and thermal energy.

We know that Gravitational potential energy is the potential energy with respect to the gravitational force. To possess gravitational potential energy, the object to be placed in a position in the gravitational field.

What is potential energy?

Potential energy of body is the energy generated by virtue of the position of the body. Whereas kinetic energy is generated by virtue of its movement.

Potential energy and kinetic energy together called as mechanical energy. The potential energy is mathematically expressed as;

p = mgh.

Here, g s gravity, h is height and m is the mass.

The gravitational potential energy can be arised in an object due the position in gravitational field. That changes with the change in position and change in height from the ground.

Hence Gravitational potential energy is transformed into motion energy (kinetic energy) and thermal energy.

To find more on potential energy, refer here:

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one card from a deck of cards is selected, it is replaced, and another card is chosen. what is the probability that the first card is a red card and the second card is a diamond card?​

Answers

Answer:

the probability of a red card is 1/2 of 50% chance. The chance of a diamond card is 1/4 or 25% chance

Step-by-step explanation:

Answer as a fraction = 1/8

Answer in decimal form = 0.125

Answer as a percentage = 12.5%

==========================================

Explanation:

The probability of choosing a red card is 1/2 since half of the cards are red (the other half are black).

This card is selected and then put back into the deck. This means that the second selection will deal with the same number of total cards.

Since we have four suits, and one of those suits is diamonds, this means the probability of choosing a diamond card is 1/4.

We then multiply the fractions to get (1/2)*(1/4) = (1*1)/(2*4) = 1/8

The probability of getting a red card first, then a diamond card second, is 1/8

Use your calculator to find that 1/8 = 0.125 which converts to the percent form 12.5%

A coin contains 9 99 grams of nickel and 16 1616 grams of copper, for a total weight of 25 2525 grams

Answers

Answer:

64%

Step-by-step explanation:

A coin contains 9 grams of nickel and 16 grams of copper for a total weight of 25 grams.

What percentage of the metal in the coin is copper

Solution:

The total weight of the coin = weight of copper in coin + weight of nickel in coin

The total weight of the coin = 9 g + 16 g = 25 g

The percentage of copper in the coin is the ratio of the weight of copper in the coin to the total weight of the coin expressed in percentage. It is given by the formula:

The percentage of copper in the coin = (weight of copper in the coin / total weight of the coin) * 100%

The percentage of copper in the coin = (16 g / 25 g) * 100% = 64%

PLSS HELP ME IN MATH!!!!

Answers

Answer:

2.7 x [tex]10^{-11}[/tex]

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10 . The sign of the exponent will depend on the direction you are moving the decimal.

similar polygons are ________________ the same shape


always
sometimes
never

Answers

Answer:

Always

Step-by-step explanation:

Similar figures are always the same shape, but not always the same size. If they have they same size, then they are also congruent.

Four cans of beans cost $2.84.
Which process can be used to
determine the cost of 10 cans of
beans?

Answers

Answer:

Step-by-step explanation:

First box

Answer:

it's the first answer choice

Step-by-step explanation:

The length of the tunnel is 460 miles. If 1 inch represents 60 miles, what is the length of the scale drawing of the tunnel? Round to the nearest hundredths. Be sure to include units.

Answers

Answer:

7.66 inches

Step-by-step explanation:

In order to find the answer, you need to first find the ratio of miles to inches. You would do this by doing 460/60. In result you would have 7.66.

What is the total surface area of the triangular prism? Select one:
O 60m²

O 30m²

O75m²

O 63m²​

Answers

30 points is the answer

Make sure to check the final answer!

Answers

Answer:

k = 33

Step-by-step explanation:

33 ÷ -11 = -3

SIMPLE DIVISION lol

Answer:

K=33

Step-by-step explanation:

The objective in this equation is to isolate the unknown variable, or k.

So our first step is to get rid of -11.

To do this, we need to multiply both sides by -11.

K/-11*-11=-3*-11

K=33

Hope this helps!

Fracesca is growing 1/2 inch each year. How many years will it take her to grow 6 inches?

Answers

12
1/2 * x =6
6/ (1/2) = x
X=12

y=x²+2x–5
vertex form

Answers

Answer:

y=(x+1)^2-6

Step-by-step explanation:

Y=x+1 for this answer

Which statement is true about the regular octagon?
O A is the point of symmetry.
| 0 The regular octagon does not have Aoint symmetry.
The regular octagon will map point A onto point E
when rotated about point P 180°
O The regular octagon will map point C onto point E
when rotated about point P 180°.

Answers

Answer:

The answer is C

Also add me on snap     Bubbafrederick

Step-by-step explanation:

Negative angles are measured in which direction from standard position?

Answers

The negative angles are measured in a clockwise direction.

What are angles?

When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the point at which two points come into contact.

An angle can be measured in either direction clockwise or anticlockwise.

The angle measured in the anticlockwise direction is considered a positive angle while the angles measured in the clockwise direction are considered to be negative angles.

Hence, the negative angles are measured in the clockwise direction.

Learn more about angles:

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Trevon and Riggs are brothers.
Trevon is 7 years older than Riggs.
Their combined age is 49.
How old is Trevon

Answers

Answer:

Trevon is 28 years old

Step-by-step explanation:

Riggs =x

Trevon =7+x

7+x+x=49

7+2x=49

2x=49-7

2x=42

x=21

Trevon is 21+7= 28 years old

Let’s take T for Trevon and R for Riggs.

T = 7 years older than R which can be written as T = R + 7

Their combined age is 49.

Therefore, T + R = 49

We need to find Trevon’s age (T.)

We can substitute R + 7 for T in the equation

T + R = 49.

We have:

R + 7 + R = 49
Now solve.

2R + 7 = 49

2R = 42

R = 21

We have found Riggs’ age which is 21.

Add 7.

Trevon’s age is 28.

765 divided by 11 is???

Answers

Answer:

                             

mixed number 69/6/11

decimal form:69.54

exact form 765/11

research:69.5454545455

Step-by-step explanation:

Hope this helped!

Answer:

the answer is 69.5454545455

Step-by-step explanation:

True or False
4x + 2y - x = 3x + 2y

Answers

Answer:

False

Step-by-step explanation:

If y = - 3x + 5, what is y when
X=2/3?
Select one:
7
-1
3
11

Answers

Answer:

y = 3 may I please get brainliest?

Step-by-step explanation:

y= -3x+5

y= -3(2/3)+5

-3(2/3) = -2

y= -2+5

-2+5 = 3

y=3

The ratio of men to women working for a company is 5 to 4. If there are 261 employees total, how many men work for the company?

Answers

Answer:

There would be 145 men employees.

Step-by-step explanation:

5/9=x/261

9x=1305

x=145

Write the recursive formula for the arithmetic sequence below.
5, 3, 1, −1, …

Answers

f(x)= x -2 i think that should be it

will give brainly if correct (hs gemotry)

Scarlett has a 12 foot ladder that she is using so she can clean the gutters on her house. If she leans it against the house, making an 80 degree angle with the ground, how high up the house does it reach?

Answers

Scarlet is leaning a 12 foot ladder. When you lean a 12 foot ladder, it is s slanted so we will make 12 our slanted side or hypotenuse. It makes a 80 degree angle after contact with the ground so it will be on the lowest angle on the right. We are asked to find the vertical side or how high up the ground is. We are asked to a angle that is opposite of the given angle which is x .. And we are also given the hypotenuse. We are going to use sin using our SOHCAHTOA

[tex] \sin(theta) = \frac{opposite}{hypotunese} [/tex]

Where there is our given angle.

Let plug it in

[tex] \sin(80) = \frac{x}{12} [/tex]

Multiply 12 by both sides and we get

[tex] \sin(80) \times 12 = x[/tex]

Which about 11.8 if rounded to nearest tenth or 11.82 if rounded to nearest hundredth.

IF ROUNDED TO NEAREST TENTH, 11.8

IF ROUNDED TO NEAREST HUNDRETH, 11.82

Does the following equation have one no or infinite solution 2x + 1 = 2x - 1

Answers

Answer:

zero

Step-by-step explanation:

2x-2x+1=-1

1 doesn't equal -1

Answer:

No solution

Step-by-step explanation:

Divide. -24 divided by 7 Enter your question as a mixed number, in simplified form, in the box. Please hurry! Thank you :D

Answers

Answer:

-3 1/7

Step-by-step explanation:

The required simplified mixed number of -24 divided by 7 is -3 3/7.

To divide -24 by 7, the result is a mixed number in simplified form.

Divide -24 by 7:

-24 ÷ 7 = -3.428571...

Simplify the result as a mixed number:

To write the mixed number, we take the whole number part, which is -3, and the fractional part, which is the remainder after dividing.

The remainder is approximately 0.428571... (it goes on infinitely), but we'll round it to the nearest fraction for simplicity.

Approximately, 0.428571... is closest to 3/7.

So, the simplified mixed number is -3 3/7.

Learn more about mixed numbers here:

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