A person places $290 in an investment account earning an annual rate of 2.2%, compounded continuously. Using the formula V = P e r t 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 formula : [tex]V = P e^{ r t}[/tex], 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.

Given: P= $290 , r=2.2% = 0.022 [divide percent by 100 to remove percent sign '%']

Also, t=18 years

Now, [tex]V=290e^{0.022\times18}=290e^{0.396}[/tex]

[tex]=290\times1.48586931755\approx\$430.90[/tex]

Hence,  the amount of money in the account after 18 years. = $430.90


Related Questions

The table shows the distance traveled at various times during a trip.


Time vs. Distance Traveled During a Trip
Time (minutes), x
Distance traveled (miles), y
11
8
28
22
59
63
73
80
87
91
99
94

A regression calculator is used to produce a scatterplot and regression line for the data. Using the equation of the line, what is the approximate distance traveled after 44 minutes?

Answers

28 hope thaipeheole

Answer:

we would need to see that plot done by the regression line, unless you're supposed to do that yourself?  maybe w/ Excel?

Step-by-step explanation:

If f(x) = 2x + 1, and the domain of f is {5, 25, 50}, what is the range of f ?
A) {5, 25, 50}
B) {11, 51, 101}
C) {10, 50, 100}
D) {0, 5, 10}

Answers

Answer:

b

Step-by-step explanation:

plug your x values into the f(x) equation

Do we have enough information to say that m//n? Why?
No, not enough information


Yes, Converse of Corresponding Angles Postulate


Yes, Converse of Alternate Interior Angles Postulate


Yes, Converse of Alternate Exterior Angles Postulate


Yes, Converse of Consecutive Interior Angles Postulate

Answers

Answer:

Option (1)

Step-by-step explanation:

From the picture attached,

Lines 'm' and 'n' are the parallel lines and 'r' is a transversal line intersecting these lines at two distinct points.

Therefore, both the angles will be congruent by the property of corresponding angles postulate.

By the converse of corresponding angles postulate,

If these angles are congruent then both the lines (m║n) will be parallel.

Option (1) will be the answer.

) Which of these shows a repeating decimal? A 2.222 C 3 6 10B 4.0014(With line ontop the LAST 4)

Answers

C

The line on top means it’s repeating :)

Answer:

B. 4.0014 repeated

Step-by-step explanation:

because the line above the four means that it's repeated.

Is 6 pi an irrational number?

Answers

Answer:

yes

Step-by-step explanation:

pi is an irrational number

PLEASE ITS URGENT!!!
find the constant of proportionality for the table of values

X.
2
3
4


Y.
5
7.5
10

K=​

Answers

k = 2.5
2 x 2.5 = 5
3 x 2.5 = 7.5
4 x 2.5 = 10

PLEASE ME HELP QUICK

Answers

Answer:

girl I think its C

Step-by-step explanation:

7/6 × 4= 28/6 4 4/6 + 3/7 =5 1/14

Answer:

5 1/4 inches

Step-by-step explanation:

In 1 week, 1 1/6 inches decreases

In 1/2 week, 7/6 /2 =7/12 inches decreases

In 4 weeks, 4* 1 1/6 = 4* 7/6 = 14/3 inches decreased

In 4 1/2 weeks, 7/12 + 14/3 = 7/12 + 56/12 = 63/12 = 5 3/12 = 5 1/4 inches decreased

plz help 20 points plzz

Answers

Answer:30 tablespoons of vinegar

Step-by-step explanation: 3 times 10

An aircraft flies at an average speed of 500 miles per hour. The expression 500t gives the distance traveled by the aircraft in t hours. Find the distance traveled by the aircraft in 8 hours The distance traveled by the aircraft in 8 hours is

Answers

Distance = 500 t

This equation means if we multiple 500 by the given time, we can determine the distance traveled.

Given in the question.

t = 8 hours

So we can substitute 8 into the equation.

Distance = 500 x 8

Distance = 4000 miles

Therefore, it traveled 4000 miles in 8 hours.

An expression is defined as a set of numbers, variables, and mathematical operations. The distance traveled by aircraft in 8 hours is 4,000 miles.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given that the expression 500t gives the distance traveled by the aircraft in t hours. Therefore, the function can be written for distance as,

D(t) = 500t

where D is the distance in miles and t is the time in hours.

Now, To know the distance traveled by aircraft in 8 hours simply substitute the value of t as 8 in the given equation. Therefore, The distance traveled by the aircraft in 8 hours is,

D(t) = 500t

D(8) = 500(8)

       = 4,000 miles

Hence, the distance traveled by aircraft in 8 hours is 4,000 miles.

Learn more about Expression here:

https://brainly.com/question/13947055

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HELP MEEEEE?????!!!!!!

Answers

Answer:

8

Step-by-step explanation:

we can write the question out:

2              36

----     x     ------

9                1

We can now cross out divide 9 by 9 and 36 by 9:

2             36/9 = 4

----     x     ------

9/9 = 1        1

2       x      4

----          ------

1                1

= 8/1

= 8

A ball is rolled down the hill at 3 m/s. The hill is 36 meters long. How
many seconds does it take the ball to reach the bottom of the hill? *

Answers

Answer:

12 seconds

Step-by-step explanation:

To do this you would take the rate of the ball, (the 3 m/s) and divide it from how big the hill is, (36 m)

36/3=12 seconds

So the ball would reach the bottom of the hill in 12 seconds

Please help by Oct 29 i don’t know what to do

Answers

Answer:

After ten months there will be around a population of 3460 rabbits.

Step-by-step explanation:

[tex]y = 60(1.5)^n[/tex]

[tex]y = 60(1.5)^{10}[/tex]

3459.9

3460

The average U.S. resident uses 100 gallons of
water per day. The population of the United
States is about 3.23 X 108. About how
many gallons of water do U.S. residents use
each day? Express your answer in scientific
notation.

Answers

Answer:3.2300*10^10

Step-by-step explanation:

On Tuesday the cafeteria served 5 gallons for orange juice during breakfast. How many pints are in 5 gallons?

Answers

Answer:

40

Step-by-step explanation:

Shawn's family car holds 16 gallons of fuel. Each day the car uses 0.8 gallons to get to school and back. A warning light comes on when there is less than 1.5 gallons left in the fuel tank. How many days can Shawn drive the car before the warning lights come on?

Answers

Given :

Shawn's family car holds 16 gallons of fuel.

Each day the car uses 0.8 gallons to get to school and back.

A warning light comes on when there is less than 1.5 gallons left in the fuel tank.

To Find :

How many days can Shawn drive the car before the warning lights come on.

Solution :

Let, after x days warning come.

So,

[tex]16 - 0.8x < 1.5\\\\16-1.5<0.8x\\\\0.8x > 14.5\\\\x > \dfrac{14.5}{0.8}\\\\x > 18.125[/tex]

Therefore, at 19th day the warning light will start glowing.

Hence, this is the required solution.

Tell if the function is linear or nonlinear from a table.

Answers

Linear because that’s the correct answer

3x - 7y = 13; x = -3, 0, 3

Solve the equation for y.
and solve for x. ​

Answers

Answer:

when x = -3; y = -22/7

when x = 0;  y = -13/7

when x = 3;  y = -4/7

y = 3/7x - 13/7

x = 7/3y + 13/3

Step-by-step explanation:

x = -3;    3(-3) - 7y = 13; -9 - 7y = 13; -7y = 22; y = -22/7

x = 0;     3(0) -7y = 13; -7y = 13; y = -13/7

x = 3;     3(3) -7y = 13; 9 - 7y = 13; -7y = 4; y = -4/7

SOLVE FOR Y: 3x - 7y = 13; -7y = -3x + 13; y = 3/7x - 13/7

SOLVE FOR X: 3x - 7y = 13; 3x = 7y + 13; x = 7/3y + 13/3

4d + 5 - 9d + 2 = 13

Answers

Answer: d = -1.2

Step-by-step explanation: First you combine like terms. You add 5 +2 which gives you 7, and then you subtract 9 from 5 which gives you -5d. Then you subtract 7 from 13 which gives you 6. Divide both sides by -5 and you get -1.2. Always make sure to check your answer by plugging your answer into the place of the d variable

I NEED DUE SOON!!!
The distance Car A travels is represented by d= 57t, where d is the distance in kilometers and t is the time in hours. The distance Car B travels at various times is shown in the table. What is the unit rate of each car? Which car goes faster?

Time (Hrs)
2
3
4

Distance (km)
140
210
280


Car As unit rate is ______
Car Bs unit rate is______
Which car goes faster? _____​

Answers

Answer:

Car As unit rate is --- ***57km/h***

Car Bs unit rate is --- ***70km/h***

Which car goes faster? --- ***Car B*

I hope this helps. u said 45 minutes, so i tried to some up with an answer. best of luck on ur work

Step-by-step explanation:

car a is 57 km in an hour, as 57t is equal to d. This, when d is 57 km will be 1 hr. So we are assuming that "t" is 1. Then d is 57. NOw lets check out car b. 140/2 is for 2 hrs, 210/3 for 3 hrs, and 280/4 for 4 hrs. This gives rate of 70 km in 1 hr.

what is the equation?​

Answers

Answer:

y=4x-3

Step-by-step explanation:

the equation is y=4x-3

ע\
How do I solve slopes

Answers

Answer:

Y[tex]\frac{y_{2}-y_{1}}{x_2-x_1}[/tex] or Y2-Y1/X2-X1

Step-by-step explanation:

hope this helps

i will not be angry from you if you brainlisted me

Im stuck IDK what the answer is can someone Help??!!
The graph below shows four straight lines, P, Q, R, and S:

graph of line P going through ordered pairs negative 2, negative 5 and 0, 3. Graph of line Q going through ordered pairs negative 1, negative 2 and 1, 6. Graph of line R going through ordered pairs negative 1, negative 4 and 1, 4. Graph of line S going through ordered pairs 0, negative 3 and 2, 5

Which line is represented by the function f(x) = 4x – 3? (1 point)
These are the answers to choose from..
Line P
Line Q
Line R
Line S

Answers

Answer:

Q

Step-by-step explanation:

I just know I guess

Answer:

I DONT KNOW WHAT IT IS BUT ITS NOT Q TRUST ME

Step-by-step explanation:

Help Asap!!Name The Angle Relationship And Find The Missing Value.

Answers

The angles are alternate interior and the value is 88 degrees. Alternate interior angles have the same value.

h(t) = (t + 3) ^2 + 5

Answers

I do not have the facilities for that big man

Imaginary number test

Answers

i ⁴³⁵ = i ⁴³²⁺³ = i ⁴³² • i ³

i ⁴³⁵ = i ⁴³² • i ³

i ⁴³⁵ = (i ⁴)¹⁰⁸ • i ³

i ⁴³⁵ = 1¹⁰⁸ • (-i)

i ⁴³⁵ = -i

The value of the imaginary number i⁴³⁵ is : i ⁴³⁵ = -i.

Here, we have,

To evaluate the expression i⁴³⁵, we need to understand the properties of the imaginary unit, denoted by i.

The imaginary unit i is defined as the square root of -1, meaning i² = -1.

When raising i to an exponent, we can use the pattern of powers of i to simplify the expression.

The pattern of powers of i repeats every four exponents:

i¹ = i

i² = -1

i³ = -i

i⁴ = 1

Since i⁴ = 1, we can divide the exponent 435 by 4 to find the remainder:

435 divided by 4 gives a remainder of 3.

Therefore, i⁴³⁵ is equivalent to i³.

Using the pattern of powers of i, we know that i³= -i.

So, i⁴³⁵ = -i.

i.e. we get,

i ⁴³⁵ = i ⁴³²⁺³ = i ⁴³² • i ³

i ⁴³⁵ = i ⁴³² • i ³

i ⁴³⁵ = (i ⁴)¹⁰⁸ • i ³

i ⁴³⁵ = 1¹⁰⁸ • (-i)

i ⁴³⁵ = -i

To learn more on complex number click:

brainly.com/question/19467739

#SPJ6

The mean of the values in a data set is p. If each of the values in the data set
were multiplied by 9.5, what would be the mean of the resulting data?
O A. 7.5p
O B. 11.5p
O C. р
O D. 9.5p

Answers

Answer:

9.5p

Step-by-step explanation:

PLEASE HELP!! Will Mark brainliest!!!

Deductive Reasoning uses ______
to reach a conclusion.

1. Prior Knowledge
2. Reasoning
3. Past Events and Patterns
4. Fact, Truths and Definitions

Answers

Answer:

4. Fact, Rules, Truths and Definitions

Step-by-step explanation:

Deductive Reasoning uses Fact, Rules, Truths and Definitions to reach a conclusion.  Deductive reasoning is the process of reasoning from one or more statements (premises) to reach a logical conclusion

Help !!What is 0=4+5n?

Answers

Answer:

n=-0.8 or-4/5

Good Luck!!!!

A rental car agency charges $170.00 per week plus $0.25 per mile to rent a car. How many miles can you travel in one week for $295.00?
The number of miles you can travel in one week for $295.00 is (Type a whole number.)

PLEASE HELP I WILL MARK YOU BRAINLIEST

Answers

You can travel 500 miles in the rental car over one week.

Explanation:

Budget - Fee per week = Money left to spend on mileage. So, $295 - $170 = $125 left to spend on miles. Money left / cost per mile, so $125 / $0.25 = 500 miles

100 points to who ever helps me love you so much if u help me

Answers

Answer:

Slope: -1/2

take 2 points from the line (3,-2) & (-3,1) and use slope= y2-y1/x2-x1

Hope i helped plz mark brainliest if u want

Step-by-step explanation:

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