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

Solve for x in the equation x2 - 12x+ 36 = 90

Answers

Answer:

6 + 3[tex]\sqrt{10\\}[/tex] or 6 - 3[tex]\sqrt{10\\}[/tex]

Step-by-step explanation:

x^2 - 12x + 36 = 90

x^2 - 12x - 54 = 0

x = [tex]\frac{-b +/- \sqrt{b^{2} + 4ac }}{2a}[/tex]

a = 1, b= -12, c= -54

6 + 3[tex]\sqrt{10\\}[/tex] or 6 - 3[tex]\sqrt{10\\}[/tex]

A rectangular prism has a length of 11 centimeters, a height of 18 centimeters, and a width of 11 centimeters. What is its volume, in cubic centimeters?

Answers

Answer:

2,178

Step-by-step explanation:

Multiply all the numbers together in other words do the length of the base times the width of the base then multiply the product by the height of the prism.

(11)(11)18

Use the remainder theorem and synthetic division to find f(k).
k= -1; f(x) = x² - 4x +5

Answers

Answer:

10

Step-by-step explanation:

i hope this helps you <3

Solve the following inequality for z. Write your answer in simplest form.
3z – 4 > 8z + 2

Answers

Answer:

I think question is wrong

Step-by-step explanation:

3z-4>8z+2

3z-4+4>8z+2+4

3z>8z+6

[tex] \frac{3}{3} z > \frac{8z + 6}{3} \\ z > 8z + 2[/tex]

Please help

Look at picture

Answers

Answer:

1/3

Step-by-step explanation:

Please help.. You can answer one if you want but whoever answers both get brainliest

Answers

Answer:

l

Step-by-step explanation:

l

Determine the solution

Answers

Answer:

:/

Step-by-step explanation:

:/

PLEASE HELP ASAP! I WILL MARK BRAINLIEST IF YOU ARE RIGHT! The following dot plot shows the mass, in kilograms, of each of the 46 kittens adopted from an animal shelter last month. Each dot represents a different kitten.

Which of the following is a typical mass of one kitten?
Choose 1 Answer:
A: 1.8 Kilograms
B: 2.2 Kilograms
C: 3.8 Kilograms
D: 4.6 Kilograms

Answers

Answer:

1.8

Step-by-step explanation:

here u go <3

The mass of one kitten is 1.8 Kg

What is Mean?

Mean, median, and mode are the measures of central tendency, used to study the various characteristics of a given set of data. A measure of central tendency describes a set of data by identifying the central position in the data set as a single value. We can think of it as a tendency of data to cluster around a middle value. In statistics, the three most common measures of central tendencies are Mean, Median, and Mode. Choosing the best measure of central tendency depends on the type of data we have.

The arithmetic mean of a given data is the sum of all observations divided by the number of observations. For example, a cricketer's scores in five matches are as follows: 12, 34, 45, 50, 24. To find his average score in a match, we calculate the arithmetic mean of data using the mean formula:

Mean = Sum of all observations/Number of observations

Mean = (12 + 34 + 45 + 50 + 24)/5

Mean = 165/5 = 33

Given:

Total kittens= 46

So,

Mean= Total mass/ number of kittens

mean= 0.8* + 1*3 + 1.2*4+ 1.4 * 6+ 1.6*8+ 1.8*8+ 2*7+ 2.2*5 + 2.4 * 2 + 2.6*1+3.8*1 / 46

=80.4/ 46

= 1.75

Learn more about mean here:

https://brainly.com/question/15323584

#SPJ2

Solve

(Perimeter)

Rectangle

Side- 10

Side- 5

Answers

the perimeter is 30

10*2=20
5*2=10
20+10=30

A public opinion survey investigated whether a majority (more than 50%) of adults supported a tax increase to help fund the local school system. A random sample of 200 adults showed that 113 of those sampled supported the tax increase.
Researchers used these results to test H0​:p=0.5 versus Ha​:p>0.5, where p is the true proportion of adults that support the tax increase. They calculated a test statistic of z≈1.84 and a corresponding P-value of approximately 0.033.
Assuming the conditions for inference were met, which of these is an appropriate conclusion?
A. At the α=0.01 significance level, they should conclude that more than 50% of adults support the tax increase.
B. At the α=0.01 significance level, they should conclude that less than 50% of adults support the tax increase.
C. At the α=0.05 significance level, they should conclude that more than 50% of adults support the tax increase.
D. At the α=0.05 significance level, they should conclude that less than 50% of adults support the tax increase.

Answers

Answer: C. At the α=0.05 significance level, they should conclude that more than 50% of adults support the tax increase.

Step-by-step explanation:

Given: Null hypothesis: [tex]H_0:p=0.5[/tex]

Alternative hypothesis: [tex]H_a: p>0.5[/tex]

p-value = 0.033

If the p-value is greater than alpha (p > . 05), then we fail to reject the null hypothesis.

If α=0.01 , then p-value > α i.e. we fail to reject the null hypothesis.

Conclusion: Exactly 50% of adults support the tax increase.

If α=0.05 then p-value < α i.e. we reject the null hypothesis.

Conclusion: more than 50% of adults support the tax increase.

Thus, Correct option: C .

Answer: At the a = 0.05 significance level, they should conclude that more than 50% of adults support the tax increase.

Step-by-step explanation:

Let X and Y be the following sets:
X = {5, 10, 15}
Y = {3, 6, 9, 12, 15}
Which of the following is the set
XUY?

Answers

Answer:

XuY = { 3,5,6,9,10,12,15}

Excuse me brainly, May i have your help..? I will give you the brainiest!

Determine the equation for the line of best fit to represent the data.

scatter plot with points going down from about zero comma 4 to the right to about 7 comma zero

y equals two thirds times x plus 4
y equals negative two thirds times x plus 4
y equals negative three halves times x plus 4
y equals negative two thirds times x minus 4

Answers

I think the answer would be negative Y equals 4 and the reason why is because

Help me please please

Answers

9514 1404 393

Answer:

  A: 8 ft²

  B: draw diagonal AC; 4 ft²

Step-by-step explanation:

Part A: The area is given by the formula ...

  A = bh . . . . . . . the product of base and height dimensions

  A = (9 ft)(8/9 ft) = 8 ft² . . . . area of the parallelogram

__

Part B:

Either diagonal (AC or BD) will divide the parallelogram into two congruent triangles, each with the same base and height as the parallelogram. It is no surprise, then, that the area of either of those triangles is ...

  A = 1/2bh

  A = 1/2(9 ft)(8/9 ft) = 4 ft² . . . . . . area of triangular half of parallelogram

__

AC divides the figure into congruent acute triangles; BD divides it into congruent obtuse triangles.

Complete the table for all the lengths and widths that are missing for
Claire's garden.
*This is only some of the table from the problem.


Answers

Answer:

Step-by-step explanation:

x is 1,2,3,4,5

y is 14,13,12,11,10

pls help me understand this pls show how u got it​

Answers

Answer:

25 inches

Step-by-step explanation:

Area is given as 75 in^2

Area of a triangle = 1/2 * base * height

             75            = 1/2 (6) * height

             75 / (1/2 * 6) = height

                     25 inches = height

If x = 2 and y = 4, what is 6x - 5y?

Answers

Answer:

-8

Step-by-step explanation:

6(2) = 12

5(4) = 20

12-20

-8

Answer:

44

Step-by-step explanation:

(6x4)+(5x4)= 44

Find the value of x. Round to the nearest degree

Answers

Answer:

b. 44°

Step-by-step explanation:

Reference angle = x

Hypotenuse = 21

Adjacent = 15

Apply trigonometric function CAH:

[tex] Cos(x) = \frac{Adj}{Hyp} [/tex]

[tex] Cos(x) = \frac{15}{21} [/tex]

[tex] x = cos^{-1}(\frac{15}{21}) [/tex]

x = 44.4153086° ≈ 44° (nearest degree)

asap
Five students, Jeremiah, Claire, Alyssa, Brody, and Hudson, line up one behind the
other. How many different ways can they stand in line?

Answers

Answer:

25 dfferent ways

Step-by-step explanation:

The answer is 25 different ways because since there are students and thy line up behind each other you  would do 5 times 5 which equals to 25.

Which student evaluated the power correctly?
Aida’s Work
5 Superscript 4 = 5 times 5 times 5 times 5 = 625
Hector’s Work
5 Superscript 4 = 5 times 4 = 20
Camila’s Work
5 Superscript 4 = 5 + 5 + 5 + 5 = 20
Juan’s Work
5 Superscript 4 = 5 times 5 times 5 = 125

Answers

Aida’s work because 5 to the 4th power is 5x5x5x5=625

Answer:

A.

✔ Aida’s Work

Step-by-step explanation:

E 2021

28, 22, 16, 10,...
O Arithmetic
O Geometric
O Neither

Answers

Answer:

Arithmetic

Step-by-step explanation:

Sequences:

A sequence is called arithmetic if the difference between consecutive terms is the same.

A sequence is called geometric if the quotient between consecutive terms is the same.

In this question:

28 - 22 = 22 - 16 = 16 - 10 = ... = 6

Difference is always 6, that is, each term is the previous one subtracted by 6. So the sequence is arithmetic.

A total of 255 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold? answer ASAP will give brainliest!!!

Answers

Answer:

85

Step-by-step explanation:

255 ÷ 3 = 85

85×2= 170 This is how much student tickets were sold.

255 - 170= 85

85 adult tickets were sold.

Help plz I will give brainliest

Answers

B 4cup of sugar and 3cups of flour =1cup of sugar and 3/4 cup of flower

Which of the following have the correct solution? Check all
that apply.
0 2x + 5 = 19; x = 7
3 + x + 2 - x = 16; x = 3
X +2
= 2; x=8
5
0 6 = 2x – 8; x = 7
14 = x +5; x = 18

Answers

Step-by-step explanation:

To do this, we will substitute the x values to their corresponding equations,

1)

[tex]2x + 5 \\ = 2(7) + 5 \\ = 14 + 5 \\ = 19[/tex]

Given 2x + 15 = 19

Calculated 2x + 15 = 19

Given = Calculated, this solution is correct.

2)

[tex]3 + x + 2 -x \\ = 3 + 3 + 2 - 3 \\ = 8 - 3 \\ = 5[/tex]

Given 3 + x + 2 - x = 16

Calculated 3 + x + 2 - x = 5

Given not equal to calculated, this solution is incorrect.

3)

[tex] \frac{x + 2}{5} \\ = \frac{8 + 2}{5} \\ = \frac{10}{5} \\ = 2[/tex]

Given (x+2)/5 = 2

Calculated (x+2)/5 = 2

Given = Calculated, this solution is correct.

4)

[tex]6 = 2x - 8 \\ 2x - 8 = 6[/tex]

[tex]2x - 8 \\ = 2(7) - 8 \\ = 14 - 8 \\ = 6[/tex]

Given 2x - 8 = 6

Calculated 2x - 8 = 6

Given = Calculated, this solution is correct.

5)

[tex]14 = \frac{1}{3} x + 5 \\ \frac{1}{3} x + 5 = 14[/tex]

[tex] \frac{1}{3} x + 5 \\ = \frac{1}{3}(18) + 5 \\ = \frac{18}{3} + 5 \\ = 6 + 5 \\ = 11[/tex]

Given 1/3x + 5 = 14

Calculated 1/3x + 5 = 11

Given not equal to Calculated, this solution is not correct.

Therefore the Correct solutions are 1,3 and 4.

Which lists the fractions and in order from least to greatest?
9/5,13/8,1 3/4

Answers

Answer:

A

Step-by-step explanation:

13/8, 1 3/4, 9/5

Answer: Hi! Your Answer Is A: 13/8, 1 3/4, 9/5! Please Mark The Person Above Me Brainliest Don't Forget Thank You! :D

Step-by-step explanation: Hi! Your answer is A but please Mark The Person Above Me  Brainliest ! :D

Is Anyone know the answer????

Answers

Answer:

Angle 1 = 40

Step-by-step explanation:

Angle 1 and Angle 2 are alternate angles. So,

2x + 20 = 3x + 10

3x - 2x = 20 - 10

x = 10

Angle 1 = 2x + 20 = 2 x 10 + 20 = 40

Determine the value of x so that the numbers a1 = In(x + 2). a2 = In(x + 3).
a3 = In(4x + 8) form three consecutive members of an arithmetic sequence.
Select one:
a. Such x does not exist.
b. x = -+1
c. There are two possible solutions.
d. x = -1
e. None of the remaining possibilities is correct.

Answers

Answer:

Step-by-step explanation:

hello :

the numbers a1 , a2 ,a3

form three consecutive members of an arithmetic sequence means : 2a2 = a1+,a3

2 In(x + 3) = In(x + 2)+In(4x + 8)....(*)

now solve this equation use this note :

ln a^n = alna and : lna+lnb =lnab lna =lnb means : a=b ...a , b positif numbers

(*) equivaut : In(x + 3)² = In(x + 2)(4x + 8) and : x + 2 ,x + 3 , 4x + 8

are positifs numbers

(x + 3)² = (x + 2)(4x + 8)

x²+6x+9 = 4x²+16x+16

3x²+10x+7 =0

delta =10²-4(3)(7) 100 -84 = 4²

x1 = (-10-4)/6 = -7/3 reused

x 2 = (-10+4)/6 = -1 reused

conclusion : a. Such x does not exist.

how many millitres of curry poweder are needed​

Answers

Answer:

3 kfjdasidutiriqkvjcksot

Answer:

2 Tbsp

Step-by-step explanation:

Our simple homemade curry powder is an easy way to have instant access to curry powder, using spices that you probably already have in your pantry. (We have found that 2 Tbsp (6 tsp) of curry powder is typically enough to season one recipe of curry for 4 people.)

Hope it helps you. please give me brainliest if it is correct

The sum of two numbers is -25. One number is 101 less than the other. Find the numbers

Answers

Answer:

-63, 38

Step-by-step explanation:

1st number = x

2nd number = x+101

x+x+101=-25

2x=-126

x=-63

1st number = x = -63

2nd number = x+101 = 38

Answer:

x=38

y= -63

Step-by-step explanation:

x+y=-25

y=x-101

x+(x-101)= -25

2x=-25+101

2x=76

x=76/2

x=38

y=x-101

y=38-101

y= -63

evaluate the intergral2x(xsquared+3)exponent 4​

Answers

Answer:

Step-by-step explanation:

I hope it helped you

Please help with these two problems don't rip me off I'm being generous.

Answers

Answer:

8 is $230

Step-by-step explanation:because there is a fee of $55 and $25 a week, the $55 is a one time charge and then $25 times 7 weeks is $175 then $55+$75 is $230

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