A person places $290 in an investment account earning an annual rate of 2.2%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is 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 18 years.

Answers

Answer 1

Answer:

$430.90

Step-by-step explanation:

Given that the principal p= $290

rate r= 2.2%  2.2/100 =0.022  

time t= 18years

by applying the expression

[tex]V = Pe^{rt}[/tex]

We have

[tex]V = 290e^{0.022*18}\\\\V=290e^{0.396}\\\\V=290*1.48586931755\\\\V=$430.90[/tex]

Hence after 18years the money in the account will be $430.90


Related Questions

In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 48 and a standard deviation of 9. Using the Standard Deviation Rule (as presented in the book), what is the approximate percentage of daily phone calls numbering between 30 and 66?

Answers

Answer:

95.44%

Step-by-step explanation:

Mean (m) = 48

Standard deviation (sd) = 9

n = 12

Zscore = (x - m) /sd

X = 30

Zscore = (30 - 48) / 9

Zscore = - 2

X = 66

Zscore = (66 - 48) / 9

Zscore = 2

percentage of daily phone calls numbering between 30 and 66 = P(z < 2) - p(z < - 2)

P(z < 2) = 0.9772

P(z < - 2) = 0.0228

Hence,

0.9772 - 0.0228 = 0.9544

0.9544 * 100% = 95.44

Please help giving 10 points!
Which statements about the graphs of the equations y = 2x + 4 and y = −x + 4 are true? Select all that apply.

A. The graphs intersect the x-axis at the same point.

B. The graphs intersect the y-axis at the same point.

C. The graphs have different slopes.

D. The graphs are parallel lines.

Answers

Answer:

The answer is B and c.

Step-by-step explanation:

first thing you need to do is  look at slopes

the slopes are different then look at  the y intersects there the same

and finally they both intersect at the same point.

the correct answer is B and C.

Able has a younger sister and an older brother.

- Able’s age can be represented by x.
- Able’s sister is 4 years younger than him.
- Able’s older brother is twice as old as he is.
- The combined age of all three siblings is 32.

How old is Able’s younger sister?

9 years

13 years

5 years

3 years

Answers

Answer:

5 years

Step-by-step explanation:

1. if able's age is x, then his sister's is x-4, and his brother's is 2x

2. if these sum to 32, then we can formulate the equation x+(x-4)+2x=32

3. now solve for x, 4x-4=32, 4x=36, x=9

4. if able's sister is x-4 years old, she is 9-4, or 5 years old

The next train will arrive in 32 minutes and 30 seconds.

In how many seconds will the next train arrive?

Answers

Answer:

1950 seconds

Step-by-step explanation:

if sixty seconds are in a minute, then you just multiply 32, the number of minutes by the number of seconds in a minute and add 30.

Proving Triangles congruent: ASA, AAS, SAS SSS
Cate:
For each problem give the correct naming order of the congruent triangles Write that name in order on the
lines for the problem number (see box at bottom) Aso indicate which postulate or theorem is being used
2
AVAVAV
N
ASC.
ABC a
by
LABCO

Answers

Answer:

WIR by SAS

EHS by AAS

GTN by SSS

An Ice cream machine fills cartons at a rate of 1440 pints per hour. How many gallons are filled per minute? 1 gal is equal to 8 pints.

Answers

Answer:

that will be 3 gallons per minute

Step-by-step explanation:

just took it on a test

Whats 0.52 / 0.0013?

Answers

Answer:

400

Step-by-step explanation:

Use a calculator if you don’t believe me

I believe the answer is 400

Is the difference of 18 and 3 a rational number?

Answers

Answer:

it is a whole number but because rational numbers include all intergers and whole numbers it is also a rational number

Step-by-step explanation:

The difference of 18 and 3 would be 18-3 which is 15. 15 is a rational number. It is an integer, and all integers are rational numbers.

Can someone please help me with these 50 points I just don't get it I need help?

Answers

Answer: I think the first one is A. and the next one is B

Step-by-step explanation:

I HAVE 5 MINUTES PLZ HELP ! (its a slope problem)

Answers

Answer:

-1/4

Step-by-step explanation:

Simply draw a slope triangle

Answer:

its -1/4 which is the third option

Step-by-step explanation:

negative because it's going down, 1/4 because every four blocks to the right it goes down by only one block

Which of the following can you add/subtract?

A) 5√4 + 6√4

B) 3√7 − 3√5

C) 9 √ + 39√

Answers

Answer:

A

Step-by-step explanation:

you can only +/- an equation like this with the same square root

You typed a 600 word essay in 12 minutes. Let w be the number of words you can type in one minute. Can w be 60?

Answers

Answer:

w = 50

Step-by-step explanation:

600 = 12w

600/12 = 12/12w

w = 50

5) 2-X = 15
Find the value of x

Answers

Answer:

x= -13

Step-by-step explanation:

-x= 13

x=-13

Answer:

13 urgupieux8ttc9y d6 og

convert the mixed number into a decimal. 5 1/4 That is the fraction of 5 and 1/4

A. 5.25
B. 5
C. 525
D. 52.5​

Answers

Answer:

The answer is A.

Step-by-step explanation:

I did it.

Which table shows a proportional relationship ?? Pls help

Answers

Answer:

Option 2

Step-by-step explanation:

If you multiply 2 by 2 you get 4. If you multiply 3 by 2 you get 6. If you multiply 4 by 2, you get 8. If you multiply 5 by 2 you get 10. A proportional relationship is where you can multiply all the numbers by a certain number to get the answer. In this case, all the numbers in the left column could get multiplied by 2 to get the number in the right column.

What is the slope of this graph?
A. −4
B. −14
C. 14
D. 4
(picture down below)

Answers

I agree with the person above, I think it’s A.

Jessica is buying roses to sell at a fundraiser for school. She needs to purchase the roses at the lowest price per rose to allow for the highest profit margin. The roses are sold in bunches of 4, 6, 8, or 12. The chart below shows the prices for the different bunches of roses. Roses in Bunch Price 4 $7.98 6 $8.50 8 $10.25 12 $12.25 Based on the information in the chart, which size bunch would be the least expensive per rose? A. 4 B. 6 C. 8

Answers

Answer:

how do i comment

Step-by-step explanation:

A Toy Story poster is enlarged. The new length is 5 feet and the width is 3 feet. The original length was 6 inches what was the width?

Answers

Okay so changing from 6 inches to 5 feet is a 1:10 ratio (since 5 (feet) x 12 (inches) = 60 (inches) this gives you a 6 (original inches): 60 (inches after enlarging) ratio, which is simplified to 1:10 when you simplify both sides by a factor of 6.
So, let’s plug the 3 feet into this ratio. 3 feet is equal to 36 inches. This gives you 3.6 inches. (Since 3.6 times 10 is 36)

Hope this helps!!

Jeff earns money mowing lawns. His earnings and hours worked represent a direct variation. He worked for 5 hours and earned $37.50. Determine the constant of proportionality for dollars earned per hours worked and for hours worked per dollars earned.

Answers

Answer:

Jeff earns $7.50 dollars per hour

Step-by-step explanation: Just divide $37.50 and 5.  

Evaluate the function f(x) = sec(x - ) for x = 0.

Answers

answer:


explanation:

please help me solve this problem

Answers

Answer: x = 15
Explanation: To solve for x, you need to put the two given expressions side by side. (2x-5=x+10). Then you will solve for x using inverse operations. if you need more help or want me to explain further please feel free to message me :)

Suppose you had two circular objects. Let the first circular object have a diameter of 26 cm and let second circular object have a diameter that is half as long as the diameter of the first. What would the circumference be for the second item in centimeters?

Answers

Answer:

its sonar

Step-by-step explanation:

h bug

Need help ASAP
Please

Answers

Answer:

area:[tex]16x^2+24x+9[/tex] Perimeter: 16x+12

Step-by-step explanation:

area :[tex](4x+3)^2[/tex]

thats [tex]16x^2+24x+9[/tex]

P: 4(4x+3)

thats 16x+12

Hope this helped you

<3

Red

Answer:

Perimeter is all sides added together, while Area is one side height times length

Step-by-step explanation:

Since your shape is a square all sides are equal so the equation is the same for all sides

Perimeter = 4z+3+4z+3+4z+3+4z+3 or (4z+3)4

14z+12 <= answer for perimeter

Area = (4z+3) (4z+3)

16z^2+12z+12z+9

16z^2+24z+9 <= answer for area

Is -3/4 rational or irrational

Answers

Answer:

Rational

Step-by-step explanation:

The fraction -3/4 can be written as a ratio, and is a finite amount, making it rational.

Rational is the answer for this

Will give brainliest will give brainliest will give brainliest and 60 think point

Answers

Answer:

∠3 and ∠2

Step-by-step explanation:

Adjacent angles are angles that have a common side and common vertex which each other.

The first option is incorrect because they don't share a common side. They do share a vertex but that isn't enough to call them adjacent.

The second option is correct because they share a common side and vertex.

The third option is incorrect because they don't share a common side.

The fourth option is incorrect because they don't share a common side. These two angles are congruent and opposite angles.

Best of Luck!

Answer:

3

Step-by-step explanation:

OK, this question is a little complicated. Solve v, 5/v=7.25

Answers

Answer:

Hope this helps you .....

Answer:

[tex]v=\frac{145}{8}[/tex]

Step-by-step explanation

[tex]\frac{5}{v}=\frac{2}{7.25}[/tex]

[tex]\frac{5}{v}=\frac{2}{\frac{725}{100}}[/tex]

[tex]v=\frac{2}{\frac{5^2*29}{2^2*5^2}}[/tex]

[tex]v=\frac{145}{8}[/tex]

5(2x-3)=24

Help me in this pleasee

Answers

Answer:

x = 3.9

Step-by-step explanation:

5(2x-3)=24

Distribute

10x -15 = 24

Add 15 to each side

10x-15+15 = 24+15

10x = 39

Divide each side by 10

10x/10 = 39/10

x = 3.9

The answer is x=39 under 10

Plz help
2.
The midpoint of AB is M. If the
coordinates of M are (,-2) and
the coordinates of B are (6,1),
what are the coordinates of A?
a) (-5,-5)
b) (2, -10)
c) (-10, 2)
d) (-13/4,-3/2
e) (-5,5)

Answers

Answer:

A

Step-by-step explanation:

the distance between M and point be is 5.5 for the x coordinate and 3 for the y coordinate. to find point b you added 5.5 to to the x and 3 to the y so if you subtract this from point M you get (-5,-5).

99/225 simplified to the lowst term

Answers

Answer:

[tex]\frac{11}{25}[/tex]

Step-by-step explanation:

Answer:

11/25 the lowest this fraction can go.

what is 2.6 divided by 0.4

Answers

Answer:

6.5

Step-by-step explanation:

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