Ceasar opens a bank account and makes an initial deposit of $800. The banker tells Ceasar that he is going to receive an annual rate of 10% compounded continuously on his investment. Find the bank balance assuming Ceasar leaves the account untouched for 8 years.


Can you please do the problem using the formula A(t)=pe^(rt).

Answers

Answer 1

Answer:

1780.43

Step-by-step explanation:

Given:

P = 800

r = 10% or 0.1

t = 8

Work:

[tex]A=Pe^{rt}\\\\A=800e^{0.1*8}\\\\A=800e^{0.8}\\\\A=1780.43[/tex]


Related Questions

Victor wants to buy fertilizer for his yard. The yard measure 55 feet by 60 feet the direction on the bag
of fertilizer say that one bag will cover 1,230 sq ft.
How many bags of fertilizer should Victor buy to be sure that he covers the entire yard?
Victor should buy
bags of fertilizer.

Answers

Answer:

3 bags

Step-by-step explanation:

55 x 60 = 3300 ft²

3300/1230 = 2.68 bags

Miranda wants to buy as many collectible dolls as possible, for $2.50 each. If she has $45.00 to spend, how many dolls can she buy?
Which equation BEST represents this situation?

Answers

Answer: Miranda can buy 18 dolls.

Step-by-step explanation:  Equation: 45 divided by 2.50

Find the measures of the numbered angles in each kite.

Answers

Answer:

x = 9°

y = 26°

Step-by-step explanation:

4x + 6x = 90

10x = 90

x = 9

y + 7(9) +1 = 90

y + 64 = 90

y = 26

please help solving x​

Answers

Answer:

x = -7

Step-by-step explanation:

m<MLP + m<PLK = m<MLK (angle addition postulate)

(x + 31) + (x + 147) = 164 (substitution)

Solve for x

x + 31 + x + 147 = 164

Add like terms

2x + 178 = 164

2x = 164 - 178

2x = -14

x = -14/2

x = -7

what is the median of 11, 10, 8, 7, 7, 7, 5, 4, 3, 3, 3,

Answers

The correct answer is the median is 7
7 is the median mark

Pleaseeee helpppp meeee

Answers

Hi
Step-by-step explanation
1 pantbrush —————— 5,2x10^-3 kg
750 paintbrushes ——— x

x= 750 x 5,2x10^-3= 3,9kg

The DrJocker


An environmentalist wants to find out the fraction of oil tankers that have spills each month. Step 1 of 2: Suppose a sample of 211 tankers is drawn. Of these ships, 146 did not have spills. Using the data, estimate the proportion of oil tankers that had spills. Enter your answer as a fraction or a decimal number rounded to three decimal places.

Answers

Answer:

The estimate of the proportion of oil tankers that had spills is 65/211 = 0.308.

Step-by-step explanation:

Proportion of oil tankers that had spills.

Number of tankers with spills divided by the total number of tankers.

In this question:

211 tankers

146 did not have spills, so 211 - 146 = 65 had

Proportion:

[tex]p = \frac{65}{211} = 0.308[/tex]

The estimate of the proportion of oil tankers that had spills is 65/211 = 0.308.

PLS Help quick!!

Austin keeps a right conical basin for the birds in his garden as represented in the diagram. The basin is 40 centimeters deep, and the angle
between the sloping sides is 77º. What is the shortest distance between the tip of the cone and its rim?

A. 177.8 cm
B. 64.3 cm
C. 50.3 cm
D. 51.1 cm
E. 41.1 cm

Answers

Answer:

Option D. 51.1 cm

Step-by-step explanation:

Please see attached photo for explanation.

In the attached photo, c is the distance between the tip of the cone and its rim.

The value of c can be obtained as follow:

Angle θ = 38.5°

Adjacent = WY = 40 cm

Hypothenus = WZ = c =?

Cos θ = Adjacent / Hypothenus

Cos 38.5 = 40 / c

0.7826 = 40 / c

Cross multiply

0.7826 × c = 40

Divide both side by 0.7826

c = 40 / 0.7826

c = 51.1 cm

Thus, the distance between the tip of the cone and its rim is 51.1 cm.

Answer:

Option D. 51.1 centimeters

Step-by-step explanation:

Correct answer for plato users

If 43x-2=4 x+1, then x

Answers

Answer:

Step-by-step explanation:

Picture has the answer, not a bad picture I promise.

Step-by-step explanation:

43x-4x=1+2

39x/39=3/39

x=0.076

Ben's Parents give him a 10% raise in his weekly allowance. His new allowance is $22.00. what was his old allowance?

Answers

22 divided by 1.1 which is 20

Answer:

20

Step-by-step explanation:

20 dollars plus 10% = 22

Assume that in a given year the mean mathematics SAT score was 515, and the standard deviation was 116. A sample of 65 scores is chosen. Use the TI-84 Plus calculator. Part 1 of 5 (a) What is the probability that the sample mean score is less than 500

Answers

Answer:

His is a normal distribution question with a) x1 = 480 x2 = 520 P(480.0 < x < 520.0)=? This implies that P(480.0 < x < 520.0) = P(-2.4326 < z < 0.3475) = P(Z < 0.3475) - P(Z < -2.4326)

Step-by-step explanation:

A Sample Of 65 Scores Is Chosen. Use The TI-84 Plus Calculator. Part 1 Of 5 (a) What Is The Probability That The Sample Mean Score Is Less Than 5007

Mark rolls 2 fair dice and adds the results from each. Work out the probability of getting a total of 5

Answers

Answer:

1/3

Step-by-step explanation:

p=1/6+1/6

=2/6

=1/3

find the value of x in each figure

PLEASE DONT GIVE ME A LINK

Answers

Answer:

x = 24

Step-by-step explanation:

3X +5 +2x-4 +2x +11 = 180

7x +12 = 180

7x = 180 - 12

7x = 168

7x/7 = 168/7

x =24

graph the circle which is centered at (-1 -3) and which has the point (-7 -3) on it

Answers

Answer and Step-by-step explanation:

The answer is in the attached photo.

The center is at (-1, -3), and it will have a point on (-7, -3)

#teamtrees #PAW (Plant And Water)

The figure formed by two rays from the same endpoint is an​

Answers

Answer:

common endpoint

Step-by-step explanation:

Each square on the grid represents 1 square yard. What is the area of the octagon?

A.49 sq yd
B.41 sq yd
C.36 sq yd
D.39 sq yd​

Answers

Answer:

B. 41 sq yd

hope this answer helps you......

I NEED HELPPPPP PLEASE ​

Answers

Answer:

x and y are both equal to 115

Step-by-step explanation:

Vertical angles are congruent (x ~= 115)

Corresponding angles are congruent (x ~= y)

Lola purchases music from two online services. Company A charges Lola a $10
subscription fee plus 89 cents for each song. Company B charges no subscription fee but
$1.19 per song. What is the minimum number of songs Lola would have to purchase for
Company A to be the cheaper option?

Answers

9514 1404 393

Answer:

  8. (c)  34

  9. 38 women

Step-by-step explanation:

8. The price for s songs is ...

  A = 10 +0.89s

  B = 1.19s

We want A < B, so ...

  10 +0.89s < 1.19s

  10 < 0.30s

  33.33... < s

Lola would have to purchase 34 songs for Company A to be the cheaper option.

__

9. Let m represent the number of men. Then the number of women (w) is ...

  w = 4m+2

The total of men and women is 47, so we have ...

  m + w = 47

  m + (4m +2) = 47

  5m = 45 . . . . . . . . . subtract 2

  m = 9 . . . . . . . . . . . .divide by 5

  4m +2 = 4(9) +2 = 38 . . . . find the number of women

The PTA has 38 women in it.

Best Company sells personalized mugs for $18 each plus a fixed fee of $26 for shipping and handling for the entire order. The Cup Expert Company sells personalized mugs for $22 each plus a fixed fee for $14 for shipping and tandling for the entire orderHow many personalized mugs would a customer have to purchase for the total cost of each company to be the same?

Answers

Answer:

3

Step-by-step explanation:

find the interest and final payment. interest rate: 12%. previous balance: $4,800

Answers

Answer:

Equivalent representations of percent problems

Step-by-step explanation:

An airplane takes off at a speed S of 226 mph at an angle of 18° with the horizontal. Resolve the vector S into components.

Answers

Velocity=226mph

Angle made with horizontal= 18°

The vector components would be [tex] 226~sin18° \hat{j} + 226~cos18° \hat{i} [/tex]

The vector components of Speed is [tex]\rm v_x[/tex] = 226 cos 18° and [tex]\rm v_y[/tex] = 226 sin 18°

What is a Vector ?

An parameter that has both magnitude and direction is called a vector.

It is given that

Speed S = 226 mph

Angle = 18 degree with the horizontal

The vector component are

[tex]\rm v_x , v_y[/tex]

here these are x and y components of the vector

V is the magnitude = |v| = 226

The vector component is given by

cos [tex]\rm \theta[/tex] = [tex]\rm v_x[/tex] / |v|

[tex]\rm v_x[/tex] = 226 cos 18°

[tex]\rm v_y[/tex] = 226 sin 18°

Therefore the vector components of Speed is [tex]\rm v_x[/tex] = 226 cos 18° and [tex]\rm v_y[/tex] = 226 sin 18°

To know more about Vector Components

https://brainly.com/question/4179238

#SPJ2

a triangle has an angle that measures 50 degrees. the other two angles are in a ratio of 2:11. what are the measures of those two angles?

Answers

Answer:

2+11=13

180-50=130

130÷13=10

2×10=20

11×10=110

2=20°

11=110°

PLEASE HELP!
The equation of a parabola is y=1/2x^2+6x+23.


What is the equation of the directrix?


y = 5.5


y = 4.5


​y = 2​


​y = 0.5

Answers

Answer:

Step-by-step explanation:

y = ½x² + 6x + 23

  = ½(x² + 12x) + 23

  = ½(x² + 12x + 6²) - ½(6²) + 23

  = ½(x+6)² + 5

vertex (-6,5)

focal length = 1/(4∙½) = ½

directrix: y = 5-½ = 4.5

Answer: y=4.5 Just confirming

Step-by-step explanation:

Just a test good luck

Please help me!! I don’t get this!

Answers

Answer:

2. d) (x-1)²+(y+5)²=128

3.c) (x-3)²+(y+2)²=841

Step-by-step explanation:

You earn $86,000 the first year you graduate from college with a master's degree in chemical engineering. If you should be saving 25% of your gross pay, how much should you save?
A. $21,500
B. $64,500
C. $18,300
D. $12,400

Answers

If 86,000 is annual gross income then,

$86,000. 100%
$x. 25%
x=86000•25/100
x=21,500$
Answer is A

perimeter 254 meters and dimension measures 6 meters​

Answers

Answer:

didn't even ask a question

Step-by-step explanation:

impossible to answer without a question

If I said you needed to pick up a number that was less than 7 or a number greater then 5 what would be the solution

Answers

Answer:

6

Step-by-step explanation:

the only number between those to is 6

The answer is 6 because that is the only number between 5 and 7

Ther *must* be an faster way of symplifying this expression. What could I have done differently?​

Answers

Answer:

3x4

Step-by-step explanation:

You're gonna want to simplify that equation. We see the three and the four. Multiply that to get x^12

Which equation represents a line which is parallel to the y-axis?
Submit Answer
O y = x + 2
O2 = -2y
O y = -1
O2 = -2

Answers

Answer:

the 2nd one

Step-by-step explanation:

29. The table shows the average annual salary in dollars based on the minimum level of education required for two occupations. Based on the average annual salaries in the table, how much more would an accountant eam than a tax preparer over a 30 year career? Occupations Occupation Average Annual Salary (dollars) Level of Education Required Accountant 71,040 41,700 Bachelor's degree High school diploma Tax preparer A $112,740 B. $3,382,200 C. $880,200 D. $1,251,000​

Answers

Answer:

c. 880,200

Step-by-step explanation:

ur welcome

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