A person places $1380 in an investment account earning an annual rate of 8.6%,
compounded continuously. Using the formula V = Pent, where Vis the value of the
account int years, P is the principal initially invested, e is the base of a natural
logarithm, and r is the rate of interest, determine the amount of money, to the
nearest cent, in the account after 10 years.

Answers

Answer 1

Answer:

3261.16

Step-by-step explanation:

r=8.6\%=0.086

r=8.6%=0.086

Move decimal over two places

P=1380

P=1380

Given as the pricipal

t=10

t=10

Given as the time

V=Pe^{rt}

V=Pe

rt

V=1380e^{0.086( 10)}

V=1380e

0.086(10)

Plug in

V=1380e^{0.86}

V=1380e

0.86

Multiply

V=3261.1618\approx 3261.16

V=3261.1618≈3261.16


Related Questions

Benson is building cabinets he can build 1 1/2 cabinets in 3/4 hour how many cabinets can he build in one hour

Answers

Answer:

2

Step-by-step explanation:

[tex]\frac{3x}{4}[/tex] = [tex]\frac{3}{2}[/tex]

cross-multiply: 6x = 12

x = 2

Answer:

2 cabinets

Step-by-step explanation:

In 3/4 hour he builds 1 1/2 cabinets.

1/4 hours is 1/3 of 3/4 hour.

In 1/4 hour he builds 1/3 of 1 1/2 cabinets which is half a cabinet.

In 1 hour he builds 4 times what he builds in 1/4 hour, 4 * 1/2 cabinet = 2 cabinets.

Answer: 2 cabinets

Helpppppppppppppppppppoppppppoo

Answers

Answer:

Step-by-step explanation:

abc=80, abm= 100

acb= 40, acn= 140

angle a = 60

x=80, y=40

Answer:

x = 80° y = 40°

Step-by-step explanation:

ABC = 80°  ACB = 40°

ABC+ACB+A = 180° (sum of angles in a triangle = 180°)

80+40+A = 180°

A = 60°  (sum of angles in a triangle = 180°)

X = 80° (ALTERNATE ANGLES, angles x is alternate to angle ABC = 80° )

y = 40°  (alternate angles, angle y is alternate to angle ACB = 40°)

to cross-check : sum of angles on a straight line = 180°  

x+ y + A = 180sum of angles on a straight line = 180°

80+40+60 = 180°

ABM = 100°  = (sum of angles on a straight line = 180°)

80° + 100°  = 180°

ACN = 140° (sum of angles on a straight line = 180°)

40° + 140° = 180°

Karim Corp. requires a minimum $8,600 cash balance. Loans taken to meet this requirement cost 1% interest per month (paid monthly). Any excess cash is used to repay loans at month-end. The cash balance on July 1 is $9,000, and the company has no outstanding loans. Forecasted cash receipts (other than for loans received) and forecasted cash payments (other than for loan or interest payments) follow.

Answers

Answer:

Step-by-step explanation:

Karim Corp. requires a minimum $8,600 cash balance. Loans taken to meet this requirement cost 1% interest per month (paid monthly). Any excess cash is used to repay loans at month-end. The cash balance on July 1 is $9,000, and the company has no outstanding loans. Forecasted cash receipts (other than for loans received) and forecasted cash payments (other than for loan or interest payments) follow. Cash receipts Cash payments July $ 24,600 28,900 August $32,600 30,600 September $ 40,600 32,600 Prepare a cash budget for July, August, and September. (Negative balances and Loan repayment amounts (if any) should be indicated with minus sign. Round your final answers to the nearest whole dollar.) KARIM CORP. Cash Budget For July, August, and September July August $ 9,000 September Beginning cash balance Total cash available Preliminary cash balance Ending cash balance Loan balance $ 0 Loan balance - Beginning of month Additional loan (loan repayment) Loan balance - End of month


a) What is the equation of line A?
b) What is the equation of line B?

Answers

Answer:

Line A is x = -3

Line B is y = 2.5

Step-by-step explanation:

If the trip is 865 miles about how many miles will David drive

Answers

I think it’s 865 miles

Answer:

865

Step-by-step explanation:

the trip is 865 miles so that is how many miles he will drive

1/6 foot = how many inches

please help if you have the right answer

Answers

Answer: 2 inches

Step-by-step explanation:

1 foot=12 inches

1/6=1/6 foot

12/6=2 inches in 1/6 foot

what is 48.75% of 204..............

Answers

204 x .4875 = 99.45

So the answer is 99.45

If LM = MP, then M must be the midpoint of LP? True or False? Im so confused on this!

Answers

Answer:

true

Step-by-step explanation:

if you have a line LP and midpoint M means M divides LP in to two equal parts ie LM and MP

Evaluate 15 squared show work

Answers

Answer:

225

Step-by-step explanation:

15x15=225

There is a cool trick you can do. Lets take 28 and square it.

First you round the number up. 28 rounded is 30. You rounded up by 2 (30-28=2) so you minus 2 from 28.

You are left with these two numbers, 26 and 30. Add a zero to the 26.

You now have 260 and 3 (you remove 0 on the 30 since you added it to the 26)

Then you multiply by 3.

260x3=780

Then you add the square of the number you rounded up too, which is 2.

You are left with this equation.

(2^2)+780= 784

28x28=784.

This works for numbers below 100 and integers

Help please.....its due today

Answers

Heyyy the error is -X where it happened was they didn’t do -4x-3x which get you -7x it supposed to look like this “2x^2y+xy^2-7x not 2x^2y+xy^2-x

“I hope this help us need anything just come back to me”

what is the value of d+3

Answers

Answer:

you need to explain

Step-by-step explanation:

Applesauce recipe for 8 uses 3 quarters of water. How much water for 12 people

Answers

Answer:

4.5 quarts

Step-by-step explanation:

We use a proportion to solve this.

8/3 = 12/x

Cross-multiply to get:

8x = 36

x = 4.5

The answer to the question is 4.5

PLEASE HELP IN ONE MINUTE WILL MARK BRAINLIST AND GIVE MONEY . Help with number 1 only

Answers

Answer:

We start with 550 pieces of candy.

We know that for each kid that comes, the total number of candy will be reduced in 5 units.

Then if there are x children that came to take candy, the total number of candy left will be:

f(x) = 550 - 5*x

That is the function that represents this situation.

Now we want to find the zero of this function, this will be the value of x such that f(x) = 0.

So we only need to solve the equation:

f(x) = 0 = 550 - 5*x

      5*x = 550

         x = 550/5 = 110

The x-intercept will be (110, 0)

In this particular case, the information on the zero represents the number number of kids that must come and take candy in order to have no more pieces left in the bowl.

help me pls ill mark brainly

Answers

Answer:

First step: 8% as a decimal is 0.08 if you move the decimal of 8 twice to the left.

Second step: I think it would be 0.08 x 25.

Third step: 2. I'm pretty sure there are 2 people that wear glasses in his class because 0.08 times 25 is 2.

Fourth step: Friendly percent is 10%. It is always even.

Hope this helps!

MY NOTES ASK YOUR TEACHER Jack has decided to advertise the sale of his car by placing flyers in the student union and the dining hall of the college. He estimates that there is a probability of 0.4 that a potential buyer will read the advertisement and that, if it is read, the probability that the reader will buy his car will be 0.1. Using these estimates, find the probability that a potential buyer will read the ad and will buy Jack's car.

Answers

Answer:

The probability that a potential buyer will read the advert and will buy Jack's car is 0.04

Step-by-step explanation:

Estimate 1:  There's a 0.4 probability that a potential buyer will read the advert.

Estimate 2:  There's a 0.1 probability that whoever reads the advert will buy his car.

- As you can see, the probability of success of this event decreases; from the point of Jack placing an advert, to the point of someone purchasing his car.

- That someone reads the advert does not mean that he or she would be interested in or capable of purchasing the car.

- That someone has the capacity to buy the car (potential buyer) does not mean they'll eventually buy it.

- So altogether, there is a low probability of each reader purchasing the car, and that's 0.1

In the calculation of probability, "and" represents multiplication. Hence,

0.4 × 0.1  = 0.04

Luis wants to buy Jordans for 75.23. He saves 10.27 per month. Write an equation to solve how many months he'll need to save.

Answers

Answer:

75.23=10.27x

Step-by-step explanation:

x will represent how many months Luis will save and it will equal 75.23. To find the value of x, divide 10.27 on both sides and get x=7.32. That means Luis will need to earn 10.27 for 7.32 months to get Jordans.

Can somebody help me ??

Answers

Answer:

y = 98

z = 21

Step-by-step explanation:

in the picture, y and 82 are supplementary angles because the are same side interior angles. This means that we can create this equation:

y = 180 - 82

we get y = 98

<Y and <4z + 14 are vertical angles, so we can also say that they are equal to each other. So we can create this equation:

4z + 14 = 98

subtract 14 from both sides:

4z = 84

divide both side by 4 to find z:

z = 21

Answer:

y = 82

z  = 21

Step-by-step explanation:

You can get y almost immediately.

82 and y are supplementary. Interior angles on the same side of the transversal = 180

82 + y = 180              Subtract 82 from both sides

y = 180 - 82

y = 98

y and 4z + 14 are equal.

y = 4z + 14                Substitute for y    

98 = 4z  +  14           Subtract 14 from both sides.

98-14 = 4z

84 = 4z                     Divide by 4

84/4 = 4z/4

21 = z

Help stat brainlist Please and thank you

Answers

3/8 because divide denominator by 2

Help I’ll mark you brainly! And give extra points!

Answers

Answer: I think #2 is either A or C

Step-by-step explanation: Hope it helped! :)

Show solutions please

Answers

Answer:

1. Their ages are:

Steve's age = 18

Anne's age = 8

2. Their ages are:

Max's age = 17

Bert's age = 11

3. Their ages are:

Sury's age = 19

Billy's age = 9

4. Their ages are:

The man's age = 30

His son's age = 10

Step-by-step explanation:

1. We make the assumption that:

S = Steve's age

A = Anne's age

In four years, we are going to have:

S + 4 = (A + 4)2 - 2 = 2A + 8 - 2

S + 4 = 2A + 6 .................. (1)

Three years ago, we had:

S - 3 = (A - 3)3

S - 3 = 3A - 9

S = 3A - 9 + 3

S = 3A – 6 …………. (2)

Substitute S from (2) into (1) and solve for A, we have:

3A – 6 + 4 = 2A + 6

3A – 2A = 6 + 6 – 4

A = 8

Substitute A = 8 into (3), we have:

S = (3 * 8) – 6 = 24 – 6

S = 18

Therefore, we have:

Steve's age = 18

Anne's age = 8.

2. We make the assumption that:

M = Max's age

B = Bert's age

Five years ago, we had:

M - 5 = (B - 5)2

M - 5 = 2B - 10 .......................... (3)

A year from now, it will be:

(M + 1) + (B + 1) = 30

M + 1 + B + 1 = 30

M + B + 2 = 30

M = 30 – 2 – B

M = 28 – B …………………… (4)

Substitute M from (4) into (3) and solve for B, we have:

28 – B – 5 = 2B – 10

28 – 5 + 10 = 2B + B

33 = 3B

B = 33 / 3

B = 11

If we substitute B = 11 into equation (4), we will have:

M = 28 – 11

M = 17

Therefore, their ages are:

Max's age = 17

Bert's age = 11.

3. We make the assumption that:

S = Sury's age

B = Billy's age

Now, we have:

S = B + 10 ................................ (5)

Next year, it will be:

S + 1 = (B + 1)2

S + 1 = 2B + 2 .......................... (6)

Substituting S from equation (5) into equation (6) and solve for B, we will have:

B + 10 + 1 = 2B + 2

10 + 1 – 2 = 2B – B

B = 9

Substituting B = 9 into equation (5), we have:

S = 9 + 10

S = 19

Therefore, their ages are:

Sury's age = 19

Billy's age = 9.

4. We make the assumption that:

M = The man's age

S = His son's age

Therefore, now, we have:

M = 3S ................................... (7)

Five years ago, we had:

M - 5 = (S - 5)5

M - 5 = 5S - 25 ................ (8)

Substituting M = 3S from (7) into (8) and solve for S, we have:

3S - 5 = 5S – 25

3S – 5S = - 25 + 5

-2S = - 20

S = -20 / -2

S = 10

Substituting S = 10 into equation (7), we have:

M = 3 * 10 = 30

Therefore, their ages are:

The man's age = 30

His son's age = 10

I'm need help with this calculus question.

What is cos(5*20*34)?

Answers

Answer:

0.699

Step-by-step explanation:

cos(5*20*34)

cos(3400)

0.699

On a piece of paper, graph y= -2x - 3. Then determine which answer
matches the graph you drew.

Answers

The answer is a because a is the only one who has the the y intercept of 3 and a slope of -2. It’s the only one who has both

You are making sets of pens and pencils to sell . You want each set to contain the same combination of pens and pencils. You have 28 pens and 80 pencils, and you want to use them all. What is the greatest number of these sets you can make?

The answers are 4 sets, 7 sets, 10 sets, and 35 sets.

30 points! I really need u help, please and thank you .

Answers

Answer:

4 sets

Step-by-step explanation:

because you need to fit everything in perfectly

2 3/4 2 11/12 in simplist form

Answers

Answer:

2 9/12 and 2 11/12

Step-by-step explanation:

if that is what u are asking. simplist form is 2 3/4 and 2 11/12.

Hope that helps and good luck :)

Solve the system of equations using ANY method.
y = 4x - 9
y = 2x + 5

Answers

y inter y = 4x - 9. X inter y =4x - 9

y = 4[0] -9. y = 4x - 9

y= -9. 9 ÷ 4 = 4x ÷ 4

x = 2 ¼

y inter y =2x + 5. X inter y =2x + 5

y =2x + 5. y=2x + 5

y =2[0] +5. -5 ÷2 =2x ÷2

y=>5. X= 2½

Two linear functions are combined with addition, and then the same two linear functions are combined by
multiplication.
Which functions could be the result of the combinations? Select two options.
16x - 12
17x - 12
72x2 - 96x
72x2 – 108x
72x2 - 204x + 144

Answers

72 x 2 is. 64 and 144 is 108

please help me!!!
asap please please please

Answers

Answer:

I'm pretty sure its the 3rd answer

Answer:C

Step-by-step explanation:

For every white square there is 3 blue squares, so you look around the white swuare and around each white square is 3 blue squares

HELP PLZ
You don’t have to solve all of them just do the ones you know!

Answers

Supplementary angles equal to 180
Complimentary angles equal to 90
Adjacent angles are connected by a vertex and side
Vertical angles are opposite of each other on two intersecting lines

A1 is 64° more than A2, so A1 + 64 = A2
Input that into the equation.
A1 + A1 + 64= 180
2A1 = 116
A2 = 58
A1 = 58+64, 122

90 = A1 + A1 +20
70 = 2A
35 = A2
55 = A1

Complimentary angles equal to 90.
A1 is 49, so 90-49= 51.

after she drinks coffee, she reads_____.she checks her homework. A,Because B,Hence C,Next D,Before​

Answers

because it is a good answer

How would I write f(x) = -4(x-2)+ 7 in standard form

Answers

Answer:

The standard form of the given equation is f(x) =  0x²-4x+15=0

Step-by-step explanation:

The standard form  is ax²+bx+c=0

Given f(x) = -4(x-2)+ 7

   we can write the standard form

                     =  0x² -4(x-2)+7 =0

                   ⇒   0x² -4x +8 +7 =0

                   ⇒   0x² -4x + 15 =0

now comparing the standard form ax²+bx+c=0

                      a = 0 , b= -4 and c =15

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