A person places $4630 in an investment account earning an annual rate of 5.7%,
compounded continuously. Using the formula V = Pert, where Vis the value of the
account in t 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 9 years.

Answers

Answer 1

Answer:

75.935

Step-by-step explanation:

If V = Pe^rt and we are given P (the principle investment) =4630 ,

a rate of 5.7 % which as a decimal = 0.057 (% divided by 100 = decimal)

we can substitute this information in and get V=4630 e^(.057t).

then it says what will it be in 9 years? so we put 9 in for "t" and get

v = 4630 e^(0.057 * 9) simplify using a calculator and we will get our answer.


Related Questions

(2/3)^2 without exponents

Answers

Answer:

[tex]\frac{4}{9}[/tex]

Step-by-step explanation:

[tex](\frac{2}{3} )^{2} =\frac{2^2}{3^2} =4/9[/tex]

Hope that helps :)

solve the equation 3a - 6 = -12.

Answers

Answer:

a=-2

Step-by-step explanation:

3a−6=−12

Step 1: Add 6 to both sides.

3a−6+6=−12+6

3a=−6

Step 2: Divide both sides by 3.

3a/ 3 = −6/ 3

a=−2

It’s a=2

I looked up the answer lol

There is a manhole cover with a radius of 1 foot. What is the manhole cover's diameter?

Answers

Step-by-step explanation:

This seems like you just want to figure out the circumference of the manhole cover. The formula for the circumference of a circle is pi (3.14) multiplied by the diameter (d) of the circle so, circumference=πd. (π is the symbol for pi and approx. equals 3.14)

Circumference = πd

= 3.14(d)

= 3.14(3)

= 9.42 ft.

The length of the brass grip-strip will be 9.42 ft.

If the problem was stated in terms of the radius of the manhole cover then the formula would be circumference = 2πr which is the radius multiplied by 2 then multiplied by pi.

The radius of a circle is the distance from the center to the edge and the diameter is the distance from one edge of the circle to the other passing through the center of the circle.

Well, if the grip strip were of no width and could be straightened out to a line (which a piece of rubber cut in a circle couldn't be), then the length of the grip would correspond to the circumference of the manhole cover.

Circumference = 2*PI*radius = PI*diameter so your answer is 3*PI feet long.

What is the area?
O 90 square kilometers
O 45 square kilometers
O 27 square kilometers
O 36 square kilometers

Answers

27 because 6*9 is 54,54 divided by 2 is 26
The area you are looking for is 90 square kilometers

Can someone explain why the answer is False. Will Mark brainliest.

Answers

Answer:

Supplementary Angles are 180 degrees. A triangle has 180 degrees. One angle is already 90 degrees, so 2 more angles with 180 degrees is impossible.

Step-by-step explanation:

75/100 reduced by 10

Answers

Answer: 3/4. fraction to decimal calculator to find what's an equivalent decimal for the fractional number 3/4.

0.75 is a decimal and 75/100 or 75% is the percentage for 3/4.

Step-by-step explanation:fraction simplification calculator to find what's a reduced or simplest form for 75/100 at its lowest terms. 3/4 is a simplified fraction for 75/100

encontre as raízes quadradas dos números:
a)²√625
b)²√100
c)²√81​

Answers

Answer:

a.) 25, b.)10, c.)9

Step-by-step explanation:

a.) 25x25=625

b.)10x10=100

c.) 9x9=81

The sum of two numbers is 52 and the difference is 8. What are the numbers?

Answers

Answer:

22, 30

Step-by-step explanation:

52/2=26

26-4=22

26+4=30

30+22=52

Answer:

30 and 22

Step-by-step explanation:

This can be solved using system of equations

Let x = the bigger number

Let y = the smaller number

The sum of two numbers is 52

x + y = 52

The difference is 8

x - y = 8

x + y = 52

x - y = 8

I will solve using elimination

 (x + y = 52)

+ (x - y = 8)

-----------------------

2x = 60

/2     /2

x = 30

x + y = 52

30 + y = 52

-30         -30

y = 22

Simplify 4(8x).
A. 8x
B. 4x
C. 32x
D. 8 + 4x

Answers

Answer:

32x

Step-by-step explanation: 4(8x)=32x

5 x 100 = ? for easy points

Answers

Answer:

500! Just multiply 5 x 1 then add the remaining 2 zeros :)

Step-by-step explanation:

Thank you!

Answer:

[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]

[tex]5 \times 100 \\ = 500[/tex]

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

I DON'T WANT A LINK I WANT AN ANSWER CAN YOU ANSWER THIS QUESTION I NEED IT DONE ASSP How large is the distance from one end of your state to the other (North to South)? What is the distance from the east coast to the west coast of your state? Your state is the ___________ largest in the United States.
My state is Virginia

Answers

The term "United States", when used in the geographical sense, is the contiguous United States, the state of Alaska, the island state of Hawaii, the five insular territories of Puerto Rico, Northern Mariana Islands, U.S. Virgin Islands, Guam, and American Samoa, and minor outlying possessions.[1] The United States shares land borders with Canada and Mexico and maritime borders with Russia, Cuba, the Bahamas, and other countries,[note 2] in addition to Canada and Mexico. The northern border of the United States with Canada is the world's longest bi-national land border.

64 over 81= 8 over 9 what is the exponent

Answers

Answer: 64/81=8/9 is that what you trying to say. O and the answer is False

Step-by-step explanation: Hope this help :D

What is the measure of the other acute angle? Pls explain how you got your answer

Answers

Answer:

30 degrees

all triangles equal 180 degrees

90+60=150

180-150=30

Step-by-step explanation:

i need help on this one to .

Answers

Answer:

Oh Lol i didnt even see the pic

Step-by-step explanation:

Answer:

5*2=10

10*8=80

Step-by-step explanation:

Multiply all number!!!

The depth of a river changes after a heavy rainstorm, Its depth, in feet, is modeled as a function of time, in hours. Consider this graph of the function. Enter the average rate of change for the depth of the river, measured as feet per hour, between hour 9 and hour 18. Round your answer to the nearest tenth

Answers

Answer:

The average rate of change for the depth of the river measured as feet per hour is approximately 0.3 feet/hour

Step-by-step explanation:

The depth of the river in feet with time is given by the function with the attached

From the graph, we have;

The depth of the river at hour t = 9 is f(9) = 18 feet

The depth of the river at hour t = 18 is f(18) = 21 feet

The average rate of change, A(x), for the depth of the river measured as feet per hour is given as follows;

[tex]A(X) = \dfrac{f(b) - f(a)}{b - a}[/tex]

Therefore, for the river, we have;

[tex]A(X) = \dfrac{f(18) - f(9)}{18 - 9} = \dfrac{21 - 18}{18 -9} = \dfrac{3}{9} =\dfrac{1}{3}[/tex]

The average rate of change for the depth of the river measured as feet per hour A(X) = 1/3 feet/hour

By rounding the answer to the nearest tenth, we have;

A(X) = 0.3 feet/hour.

Hello um I need help if anyone could help me with this that would be perfect:))!!

Answers

Answer:

1. If D= whole numbers then the answer is B.0 if it is integers the answer is A.-10

2. The answer is D. That number is an irrational number.

Step-by-step explanation:

Im pretty sure that #1 is B.0, but since there are no labels and i haven't done this in a while, I wasn't quite sure. Sorry.

the sum of 2 numbers is -48 and their difference is 17.

Answers

Answer: -15.5, -32.5

Step-by-step explanation: Call the two numbers x and y, x+y=-48 and x-y=17, subtract both of them and you get 2y=31 and then divide both sides by 2 and get -15.5 for y, plug this back in the equations and get -32.5 for x, hope this helped!

The proportion of supermarket customers who do not buy store-brand products is to be estimated. Suppose 500 customers are selected from the roughly 20,000 customers who shop at the stores citywide. The sample proportion of supermarket customers who do not buy store-brand products equals 33.5%. Which value(s) can be labeled as statistic(s)?

Answers

Options :

A.

33.5%

B.

20,000 and 33.5%

C.

500 and 20,000

D.

20,000

Answer:

A.) 33.5%

Step-by-step explanation:

A statistic value is simply a numerical statistical estimate or value which is obtained from the sample data or value. Here the statistic is the statistical value which is obtained the sample of 500 customers selected from the about 20000 population value 500 itself is the sample size while 33.5% is the sample. Proportion of supermarket customers who do not buy store-brand products.

20,000 = population size ;

500 = sample. Size

33.5% =. Statistic

A coffee shop recently sold 8 drinks, including 2 Americanos. Considering this data, how many of the next 20 drinks sold would you expect to be Americanos?

Answers

Answer:

5 drinks will be americanos

Step-by-step explanation:

2:8  (2/8)

simplify

1:4  (1/4)

divide 20 by 4

5:20

The number of next 20 drinks which may be Americanos is 5.

What is Probability?

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given that,

Total drinks sold = 8

Number of drinks that is Americanos = 2

Probability of finding Americano = 2/8 = 1/4

If the total number of drinks next is 20,

Number of Americanos expected = Probability of Americanos × Number of drinks

= 1/4 × 20

= 5

Hence the number of Americanos expected is 5.

Learn more about Probability here :

https://brainly.com/question/30881224

#SPJ2

Need this answer ASAP the last missing square says “take the square root of both sides”

Answers

Answer:

add 5 to both sides, divide by 2, take square root, subtract 3/4

Step-by-step explanation:

I think you maybe do the reverse order of operations, which is SADMEP (subtract/add, then divide/multiply, then take care of exponents and square roots, then do that same order for whatever's in parenthesis.)

The dot plots below display the pre- and post-test math scores for students in of Mr. Perez's
math classes.
The mean for the Pre-Test scores is 4.
The mean for the Post-Test scores is 10.
The mean absolute deviation of both tests is 2.
Describe the difference between the means as a multiple of the MAD.

Answers

Answer:

so one the MAD is wrong its actually 1 for both and

The multiple would be 4 and 10.

Step-by-step explanation:

4x1=4

10x1=10

I Need Help ..
4. Evaluate the functions,
Let f(0) = 21-1 and 8(x) - 7-4 find
a. /(0)
b. S(1)
c. (-1)
en g(0)
f. 8(-2)

Answers

Answer: cos ( 390 ) − 4 cot ( − 45 ) sin (330 )

Step-by-step explanation: MAKE ME BRANLIEST!!!!!!

PLS HELP IM STRUGGLING!!!!!!

Answers

Answer:

i think ist D correct me if im wrong

Step-by-step explanation:

Answer:

22.7

Step-by-step explanation:

if ∡M is 90° then you can do:

sin 65 = h/25

h = 25(sin 65°)

h = 22.65

( Need help !!!!!!!!!! Pls )

Answers

That answers is everything except C. If it’s a single choice question the choose B. It’s the best answer

On a standardized exam, the scores are normally distributed with a mean of 120 and
a standard deviation of 10. Find the z-score of a person who scored 115 on the exam

Answers

Answer: z= -0.5

Step-by-step explanation: mean m=120 and deviation s=10.

Z = (x-m)/s= (115-120)/10

Answer: z=−1.1

Step-by-step explanation:

z=\frac{x-\mu}{\sigma}

z=

σ

x−μ

z-score formula

z=\frac{104-115}{10}

z=

10

104−115

Plug in values

z=\frac{-11}{10}

z=

10

−11

Subtract

z=-1.1

z=−1.1

Divide

HELP PLZ I'LL MARK BRAINLIEST!

Answers

Answer:

138.23

Step-by-step explanation:

a company staff consists of 20 accountants, 12 economists and 4 secretaries. a staff is chosen at random. Find the probability that the staff is an accountant. With solution.​

Answers

Answer:

5/9

Step-by-step explanation:

Number of accountants = 20

Number of economists = 12

Number of secretaries = 4

Total number of Staffs = 20 + 12 + 4 = 36 staffs

Probability = required outcome / Total possible outcomes

Required outcome = number of accountants

Total possible outcomes = total number of staffs

P(selecting an economist) = 20 / 36 = 5 / 9

The probability that the staff is an accountant is 5/9.

Given

A company staff consists of 20 accountants, 12 economists and 4 secretaries. a staff is chosen at random.

Probability;

Probability is defined as the number of observations and total number of observation.

Total number of Staffs = 20 + 12 + 4 = 36 staffs.

The following formula is used to determine the probability;

[tex]\rm Probability=\dfrac{Accountant \ staff}{Total \ number \ of \ staff}[/tex]

Substitute all the values in the formula;

[tex]\rm Probability=\dfrac{Accountant \ staff}{Total \ number \ of \ staff}\\\\\rm Probability=\dfrac{20}{36}\\\\\rm Probability=\dfrac{5}{9}[/tex]

Hence, the probability that the staff is an accountant is 5/9.

To know more about probability click the link given below.

https://brainly.com/question/743546

The width of a rectangular shed is 8 feet, and its length is 14 feet. Three of these expressions equal the perimeter of the garden, in feet. Which expression does NOT?

Answers

Answer:

That one

Step-by-step explanation:

It's kinda obvious if you look at the choices.

Answer:

8+14

Step-by-step explanation:

NO LINKS!! Please help me out this is causing me stresss PLSS I posted this so many times and no answer plsss be kind and help me :’) Write the slope-intercept inequality for the graph below. If necessary, use <=
fors or >= for >

Answers

Answer:

Consider this option:

1. the equation of given line is y=-x-3 (it is easy to find it using points (0;-3)&(-3;0)).

2. according to the equation of line: y≥-x-3

what is the volume of the right triangle prism shown​

Answers

Answer:

42cm3

Step-by-step explanation:

v = 0.5× b × h × l

= 0.5 × 4 × 3 × 7

= 42cm3

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