Tyler invested $350 in an account paying an interest rate of 4.5% compounded
continuously. Assuming no deposits or withdrawals are made, how long would it
take, to the nearest tenth of a year, for the value of the account to reach $700?
Answers
Answer:
15.4 I did this on delta math
It would take approximately 15.4 years, to the nearest tenth of a year, for the value of the account to reach $700 with continuous compounding.
How to calculate compounding time?The formula for calculating the future value (FV) of an investment with continuous compounding is:
[tex]FV = Pe^{rt}[/tex]
Where P is the initial principal, r is the annual interest rate (expressed as a decimal), t is the time period (in years), and e is the mathematical constant e (approximately 2.71828).
In this case, we have P = $350, r = 4.5% = 0.045, and we want to find the time t when the FV is $700. Substituting these values into the formula, we get:
[tex]700 = 350e^{0.045t}[/tex]
Dividing both sides by $350, we get:
[tex]2 = e^{0.045t}[/tex]
Taking the natural logarithm of both sides, we get:
[tex]ln(2) = ln\times e^{0.045t}[/tex]
Using the properties of logarithms, we can simplify this to:
ln(2) = 0.045t ln(e)
Since ln(e) = 1, we can simplify further to:
ln(2) = 0.045t
Finally, solving for t, we get:
t = ln(2) / 0.045 ≈ 15.4
Therefore, it would take approximately 15.4 years, to the nearest tenth of a year, for the value of the account to reach $700 with continuous compounding.
To know more about continuous compounding follow
https://brainly.com/question/14303868
#SPJ2
Related Questions
What decimal is equivalent to 9/12?
Answers
Answer:
0.75
Step-by-step explanation:
Complete the division to convert the fraction to a decimal. You can reduce the fraction to lowest terms first to make the long division math a bit easier. For example, 9/12 = 9 ÷ 12 = 0.75.
Liz flips a coin 70 times. The coin lands heads up 42 times and tails up 28 times. Complete each statement.
Answers
Answer:
There are no statements
Step-by-step explanation:
If you put up the statements, I'll edit my answer
Find the value of x.
Answers
Answer:
the answer is 49
Answer:
41 degrees
Step-by-step explanation:
180-90-49 = 41
WILL GIVE BRAINLIEST IF YOU ANSWER MY QUESTION!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
D
Step-by-step explanation:
If you could answer all parts to this problem it’ll make my day . please
Answers
Answer: 40x25=1,000 and 64x40=2,560! Does this help
?
This graph represents the path of a baseball hit during practice.
Downward opening parabola with (0,0.5), (6.16, 0) and vertex (3,5)
What does the x-value of the vertex represent?
Question 1 options:
the maximum height of the baseball
ground level
the time the baseball was hit
the time the baseball reached its maximum height
Answers
Answer:
Step-by-step explanation:
x-coordinate of the vertex is the time the baseball reaches maximum height.
verify/prove the following trigonometric identity:
cos (x)/sec (x) + sin (x)/csc (x) = sec^2 (x) − tan^2 (x)
Answers
Answer:
I THINK IT WORKS
TRY IT
3
=
10
q
start fraction, 3, divided by, 5, end fraction, equals, start fraction, q, divided by, 10, end fraction
q =q=q, equals
Answers
i need help with this
Answers
sorry i don't know this one wish i could help
A painter is building scaffolding to paint the ceiling of a tall building. Each section of scaffolding is in the shape of a rectangle and measures 8 feet wide by 17 feet long. The painter uses metal piping along the diagonal to secure the scaffolding. Which measurement is closest to the length of the diagonal piping?
Answers
Answer:
18.79
Step-by-step explanation:
Find a and b.........
Answers
Answer:
a is 10
b is 37
Step-by-step explanation:
Now we must agree that the diagram above is a parallelogram.
this figure has its opposite sides parallel to each other, and also equal to each in length, this means a+5=15.
hence a is 10.
and the opposite angles of the parallelogram are equal thus, 111=3b,
hence b is 37°.
I must say I was shocked to see 111 is divisible by 3...
well you can follow me, for questions or further explanations.
A circle has a radius of 5p6q3 cm. The area of the circle can be found using the formula A = πr2. What is the area of this circle in square centimeters?
Answers
Answer:
25p^12q^6πcm²
Step-by-step explanation:
Given the area of the circle expressed as;
A = πr^2
Given
r = 5p^6q^3 cm
Substitute into the formula
A = π(5p^6q^3 )²
A = π(25p^12q^6)
A = 25p^12q^6πcm²
hence the area of this circle in square centimeters is 25p^12q^6πcm²
The area of the circle whose radius be 5p⁶q³ is 25πp¹²q⁶ square centimeters.
What is a circle?It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
A circle has a radius of [tex]\rm 5 \ p^6 \ q^3[/tex] cm.
The area of the circle can be found using the formula
[tex]\rm A = \pi \ r^2[/tex]
Then the area of the circle will be
[tex]\rm A = \pi (5 \ p^6 \ q^3)^2\\\\A = \pi * 5^2 \ (P^6)^2 (q^3)^2\\\\A = 25 \ \pi \ p^{12} \ q^6[/tex]
Thus, the area of the circle is 25πp¹²q⁶ square cm.
More about the circle link is given below.
https://brainly.com/question/11833983
Can i get the answer please
I will give a brainliest and a thank you
Answers
The table below shows a record of three Baloon Pop games.
Number of Players
game 1 players: 52
game 1 winners: 14
game 2 players:77
game 2 winners: 25
game 3 players: 61
Game 4 winners: 25
Based on the data recorded in the table, how many winners would you expect if there are 100 players?
Answers
There are 33 winners which would you expect if there are 100 players, and its calculated values can be defined as follows:
Winning percentage:
[tex]\text{Number of Players } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \text{ Number of Winners}[/tex]
game 1 52 14
game 2 77 25
game 3 61 25
Total 190 64
According to Heath, there have been 64 winners out of a total of 190 players.
[tex]\to \frac{64}{190}\\\\\to 0.33\\\\[/tex]
Calculating the Winning percentage [tex]= 0.33 \times 100= 33\%[/tex]
Find out more information about the percentage here:
brainly.com/question/24681811
identity the vertex, focus, and directrix
Answers
Answer:
vertex: (0, 0)
focus: (-7, 0)
directrix: x=7
Step-by-step explanation:
divide both sides by (-1/28) and you will get y^2=-28x-28=-4p ----> p=7focus=(-p, 0) ------> (-7, 0)directrix=x=p ---------> x=74 2/5 + k = −3 2/11
What is k?
Answers
Answer:
Step-by-step explanation:
4⅖ = 22/5 = 242/55
-3 2/11 = -35/11 = -175/55
k = -175/55 - 242/55 = -417/55 = -7 32/55
Pls help I don’t understand
Answers
Hi there, it wont let me leave this page without posting a answer and I don't have an answer. I dont know why it wont let me.. So I thought instead of just posting a blank answer I would give you an explination for my actions. I am not doing this on purpose or for points im just trying to help others.. If you want you can reply back to my comment and I will give you 10 coins. Since I did just take 5 of yours, and it seems only fair. Again my apoligizes.
Ashley purchased a prepaid phone card for $25.75. Calls cost 6 cents a minute using this card. The credit, C (in dollars), left on the card after it is used for x
minutes of calls is given by the following.
C= 25.75 -0.06x
Answers
What is the missing side length of the pyramid if the volume is 1,026 cubic inches
Answers
Answer:
18
Step-by-step explanation:
What variable do you eliminate?
4x + 8y = 20
- 4x + 2y = -30
Answers
Solve using the elimination method! 2x + 8y = 4 x - 5y = 11
Answers
Answer: The answer is {(0,0)} !
Step-by-step explanation:
35 percent of the students are boys which is 259 find the total number of the students and girls
Answers
Answer:
740 total students, 481 total girls
Step-by-step explanation:
Let x be the total number of students and y be the total number of girls
x -
You know that 35% of the students is 259 students. If you convert this into algebra, you can write : 0.35x = 259, after simplifying, you know that x = 740.
y-
You know that 35% of the students are boys, so 65% must be girls. You can say that 65% of x is y and write the equation 0.65(740)=y. After simplifying, you can see that y = 481.
I hope this helps :)
6.Adah has a box in the shape of a cube. She is trying to determine how to find the volume. So, she asks her friends Luis, Emily, Francesca and Roberto. However, she knows only one can be correct, who is it?A.Luis states that she needs to find the area of each face, and then add them together.B.Emily states that you only need to find the area of one side and then multiply by four (the number of sides around the cube).C.Francesca states that you need to find the area of the bottom and the four sides. Since the cube is open at the top, you don’t need to include that.D.Roberto said that you need to find the area of the base and multiply by the height of the cube.
Answers
Answe I believe the answer would be D
Step-by-step explanation:
plz plzz help due in 10min will mark brainlyest Quadrilateral and Right Triangle
Answers
Please help- will give brain list
Answers
The equation a + b = c could be true or false.
Answers
Answer: True
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
What is the measure of ZABC in the figure below?
А
15
45°
B
15
с
A. 15°
Ο Ο
o o
B. 30°
C. 45°
ОО
D. 90°
E. 15°
F. Cannot be determined
O
Answers
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Angles.
Since the angle ABC is a Right angle ,also an angle of square, so it's 90°
====>Angle ABC = 90°
which answer is correct?
Answers
Answer:
The ans is a-HL criteria
Step-by-step explanation:
Because the 90 degree angle and the hypotenuse are same in both the triangles.
PLS MARK BRAINLIEST
HI THIS IS MY FIRST QUESTION EVER ASKED AND I AM TOLD THAT BRANILY IS A GOOD PLACE FOR HELP SO COULD I GET SOME HELP PLEASE PS. SORRY ABOUT THE CAPS.
Answers
Answer:
C, D, C, A, B
Step-by-step explanation:
Find the sum of 13x+5 and 8+25x.