Serenity invested $3,100 in an account paying an interest rate of 2.9% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 12 years?

Answers

Answer 1

Answer:

$4179

Step-by-step explanation:

3,100*.029= 89.9

89.9*12=1,078.80

3,100+1,078.80=4,178.80

4,178.80 rounded to the nearest dollar= 4179

Answer 2

The amount of money in the account after 12 years would be $4,371.

What is Compound interest?

Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.

To calculate the amount of money in the account after 12 years, we need to use the formula for continuously compounded interest, which is:

A = P[tex]e^{rt}[/tex]

where A is the final amount, P is the principal (initial amount invested), r is the annual interest rate, and t is the number of years the money is invested.

In this case, the initial amount invested is $3,100, the annual interest rate is 2.9%, and the number of years is 12.

Plugging these values into the formula, we get:

A = $3,100 × [tex]e^{0.029 \times 12)[/tex]

A = $3,100 × [tex]e^{0.348}[/tex]

A = $3,100 × 1.41

A = $4,371

Therefore, the amount of money in the account after 12 years, to the nearest dollar, would be $4,371.

To learn more about Compound interest click here:

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Related Questions

Good Afternoon! please help me with these questions! So Far No one has helped me and I really need help. i found answers but the answers are not any of the multiple-choice answers!
For #1 I had gotten 5078.9 using the formula A=p(1+r/n)^n(t)

For # 2 I had gotten 2464.7 using the formula A=p(1+r/n)^n(t)

But I see no answer choices with these answers.

Please tell me the correct answers and explain what I did wrong!

Answers

Answer:

I think the first one is $1288.94 and the second is 3001.99

Step-by-step explanation:

I might be wrong forgive me if so

-2y-5x=2
-5x=2y-4

( I need help solving both equations in y=mx+b form)

Answers

To get both the equations in the form y=mx+b you’ll have to apply basic algebra to make y the subject of the formula. You’ll see how it is done in the image below. The first equation you’ll see I did in more detail to explain it better. Hope this helps

Level 1
Question
1
T is inversely proportional to N.
When T = 30, N = 5.
(a) Find an equation connecting T and N.
(b) Work out the value of T when N = 10
(C) Work out the value of N when T = 25
*

Answers

T ∝1/N
T=k/N
30=k/5
K=150
T=150/N thats a
T=150/10 T is 15 for b
25=150/N N is 6 for c

Answer:

a)T=k/N

b)T=15

c)N=6

Step-by-step explanation:

kindly see attached

State the slope of the line 4.0 + 3y = 1.​

Answers

Answer:

State the slope of the line 4.0 + 3y = 1.

Step-by-step explanation:

How do you stop depression.

Answer:

Slope=0

Step-by-step explanation:

please someone please help me with this problem I’ll thank you forever

Answers

Answer:

The answer is about 9.85

Step-by-step explanation:

4 ^ 2 = 16

9 ^ 2 = 81

16 + 81 = 97

97 radical thing is ABOUT 9.85

The diagram shows a regular octagon.
Not drawn
accurately
The base line of the octagon is extended.
Work out the size of angle y.

Answers

Answer:

15 b

Step-by-step explanation:

An ice cream shop uses 4 pints of ice cream to make 10 sundaes. How many pints of ice cream are used for each sundae?

Answers

2.5 pints are used
10 divided by 4

Answer:

10/4 or 5/2 = 2.5

Step-by-step explanation:

Which arithmetic sequence has a common difference of 5?

Answers

Answer:

5,10,15,20,25,30

Step-by-step explanation:

their common difference is 5

The interior angles formed by the sides of a hexagon have measures that sum to 720°. What is the measure of angle A? Enter your answer in the box. ​m∠A= °

Answers

No picture. Where is A?

If the hexagon is regular, each external angle is 360°/6 = 60°. Each internal angle is 180°-60° = 120°

Answer:

The answer is 100

Step-by-step explanation:

i took the quiz right now

a + 3 ≥ 2

a. a ≤ -1
b. a ≥ -1
c. a ≥ 1
d. a ≥ 5​

Answers

a + 3 ≥ 2

Subtract 3 from both sides.

a ≥ -1

Question 4 0
A two-sample t-test for a difference in means was conducted to investigate whether defensive players on a football team can bench-press more weight, on average, than
offensive players. The conditions for inference were met, and the test produced a test statistic of t = 1.083 and a p-value of 0.15.
Based on the p-value and a significance level of a = 0.05, which of the following is the correct conclusion?
Submit
Reject the null hypothesis because 0.15 > 0.05. There is not convincing evidence that defensive players can bench-press more weight, on average, than
offensive players.
B
Reject the null hypothesis because 0.15 > 0.05. There is convincing evidence that defensive players can bench-press more weight, on average, than
offensive players
с
Fail to reject the null hypothesis because 0.15 > 0.05. There is not convincing evidence that defensive players can bench-press more weight, on average,
than offensive players,
D
Fail to reject the null hypothesis because 0.15 > 0.05. There is convincing evidence that defensive players can bench-press more weight, on average,
than offensive players
Fail to reject the null hypothesis because 0.15 > 0.05. There is convincing evidence that defensive players can bench-press the same amount of weight,
on average, as offensive players.

Answers

Answer:

Fail to reject the null hypothesis because 0.15>0.05

. There is not convincing evidence that defensive players can bench-press more weight, on average, than offensive players.

Step-by-step explanation:

Since P>a we can not reject the null hypothesis. We cannot conclude the alternative hypothesis in context.


1. 11f + 15f
2. 18h + 13h
3. 55m + 11
Will give Brainliest Answer

Answers

Answer:

1. 2 6f

2. 31h

3. 1 1 ( 5 + 1 )

hope this helps

Step-by-step explanation:

Answer:

Distributive property:

ab + ac = (a + b)c

Applied to the given expressions:

11f + 15f = (11 + 15)f = 26f 18h + 13h = (18 + 13)h = 31h 55m + 11 = 11(5m + 1)

The midpoint of AD is C. The midpoint of AC is B. If A is at (-10,4) and D is at (2,12), find the coordinates of B. Group of answer choices (-5,5) (-4,8) (-2.5,9) (7,6)

Answers

Answer:

[tex]B(x,y) =(-7,6)[/tex]

Step-by-step explanation:

Given

[tex]A = (-10,4)[/tex]

[tex]D = (2,12)[/tex]

Required

Determine the coordinates of B

C is the midpoint of AD. So, we calculate the coordinates of C, first.

[tex]C(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Where:

[tex]A = (-10,4)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]D = (2,12)[/tex] --- [tex](x_2,y_2)[/tex]

So, we have:

[tex]C(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

[tex]C(x,y) = (\frac{-10+2}{2},\frac{4+12}{2})[/tex]

[tex]C(x,y) = (\frac{-8}{2},\frac{16}{2})[/tex]

[tex]C(x,y) = (-4,8)[/tex]

So, the coordinates of C is (-4,8)

The midpoint of AC is B.

So, we calculate the coordinates of B using:

[tex]B(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Where:

[tex]A = (-10,4)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]C(x,y) = (-4,8)[/tex] --- [tex](x_2,y_2)[/tex]

So, we have:

[tex]B(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

[tex]B(x,y) =(\frac{-10-4}{2},\frac{4+8}{2})[/tex]

[tex]B(x,y) =(\frac{-14}{2},\frac{12}{2})[/tex]

[tex]B(x,y) =(-7,6)[/tex]

Hence, the coordinates of B is (-7,6)

None of the options is correct.

Find midpoint of PQ with endpoints P (0,2) and Q (6,-2)

Answers

Answer:

(3, 0)

Step-by-step explanation:

The easiest way to do this problem is to average the x-coordinates and y-coordinates.

So,  (0 + 6) / 2 = 6/2 = 3 = x   and (2 - 2)/2 = 0/2 = 0 = y

Therefore, the midpoint is (3,0)

in the diagram shown, which angle pairs form complementary angle​

Answers

Answer: angle DBE & angle ABD and angle EBF & angle FBC

Step-by-step explanation:

complimentary angles add up to 90 degrees, so just find the pairs of angles that add up to 90 degrees.

Write an inequality to match the graph below.

Answers

lets use x as the variable in this situation

x > -2 or x is greater than negative two.

hope this helps

I need points so yeah

what does it mean to name the parts of an expression?​

Answers

Answer:

Each expression is made up of terms. A term can be a signed number, a variable, or a constant multiplied by a variable or variables.

Step-by-step explanation:

Answer:

name the expression with terms like variable and constants. variable usually uses a letter like x and variables are just a number.

Step-by-step explanation:

Can anyone help me in this please?

Answers

4(y x 3) + 2(3 x 3) = 138
12y + 18 = 138
12y = 120
y = 10


A fish is 12 feet below the sea level. A bird is 28 feet above sea level. If the bird is directly
above the fish, how far apart are they?

Answers

Answer:

they are 40 feet apart!

Step-by-step explanation:

hopes this helps!!>_<

Answer:

40 Feet Apart

Step-by-step explanation:

Since the fish is 12 below sea level and the bird is 28 above sea level you just add both their distances together.

simplify
0.75 (0.25f-1.5)

Answers

Answer:

3 * (f - 6) / 16

Step-by-step explanation:

what is 18.6% of 11,400​

Answers

11400x0.186=2120.4 .

Which graph represents the function f(x) = 4x

Answers

Answer:

[tex]\boxed{\textsf{ The required graph of y = 4x will be a straight line passing through the origin . }}[/tex]

Step-by-step explanation:

Here we need to plot the graph for the function given to us . The function is ,

[tex]\sf \implies f(x)= 4x [/tex]

In order to plot a graph let us assume that ,

[tex]\sf\implies y = f(x) [/tex]

Hence we now get , that ,

[tex]\sf\implies y = 4x [/tex]

Now let's find out some values of x and y taking which we will plot the graph .

• So , firstly let , x = 0 then y will be equal to 4*0 = 0 . Hence we got one coordinates as (0,0) .

• Secondly let x = 1 , then y will be equal to 4*1 = 4 . Hence we get the third coordinate as (4,0) .

• Thirdly let us take that x = 0.5 then y will be equal to 4*0.5 = 2 . Hence we got the third coordinate as ( 0.5 , 2 )

• Fourthly let x = -0.5 then y will be equal to 4*-0.5 = -2 . Hence the fourth coordinate will be (-0.5 , -2)

Now when we plot it's graph taking suitable scale then it will look something like that as shown in attachment .

For the graph of y = 4x kindly refer to the attachment :) .

Hence the graph of y = 4x will be a straight line passing through the origin.
Answer: X Y
0 0
1 4
Here is the graph

A
B
C
D
PLZ HELP ASAP

Answers

Answer:

B. 4, 4, 4√2

Step-by-step explanation:

45° - 45° - 90° is the measure of special right triangle

the side lengths that sees these angles can be shown as a, a, and a√2 the values that meets these conditions are shown in option b

What is the answer? And why does brainly want me have at least 20 characters for my question?

Answers

154 degrees 130+24 = 154

Express as integer: a deposit of $100

Answers

Answer:

Well if you deposit something you won't have it so negative. If you earn something then it is positive. So it is negative

Step-by-step explanation:

:)

Find the area of the parallelogram shown below.
9
15
17
square units

Answers

Answer:

135

Step-by-step explanation:

its the base (9) times the height (15)

Answer:

135

Step-by-step explanation:

because of the rule base times hight  we know it is 135

THIS IS ABOUT AN ANIME SUPER LOVERS AND IF YOU HAVENT WATCHED IT YOU DONT NEED TO SEE THIS -WARNING-
at the very end of the series why does natsuo ( the cousin of aki, shima, and haru) kiss haru. i didnt understand. PLEZ ANSWER MEEE

Answers

i’m not sure but please tell me where i can watch it

Answer:

because they wanted to i guess

Step-by-step explanation:

A movie theater has a seating capacity of 385. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 2794, How many children, students, and adults attended?

Answers

Answer:

Step-by-step explanation:

The number of children is 198, adults are 99 and students are 88.

What is word problem?

A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

Given that, the theatre sitting capacity is 385 and the theatre charges are $5.00 for children $7.00 for students, and $12.00 for adults.

Let the number of children be c, since, there are half as many adults as there are children therefore, number of adults = c/2

The number of students = 385 - c - c/2 = 385 - 3c/2

The total cost  = $2794

Therefore,

2794 = 5c+c/2×12+(385-3c/2)×7

2794 = 5c+6c+2695 - 21c/2

c = 198

Therefore, number of adults = 198/2 = 99

The number of students = 385-3/2×198 = 88

Hence, The number of children is 198, adults are 99 and students are 88.

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ILL GIVE BRAINLIESAT FOR FIRST ANSWER!

Divide

3÷1/12

Answers

Step-by-step explanation:

is 36 hello my name is santiago i am fron Colombia

A single card is drawn from a deck. Find the probability of selecting a 4 or diamond

Answers

Answer:

I believe 16/52

Step-by-step explanation:

There are 13 diamonds and 4 fours. Add those together then you get 17/52. It is not that since there is a four of diamonds card, so you would need to subtract one.  Then that reduces to 4/13

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