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
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4 2/5 + k = −3 2/11
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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
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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.
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
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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
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Step-by-step explanation:
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А
15
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B
15
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A. 15°
Ο Ο
o o
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ОО
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[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
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Answer:
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Step-by-step explanation:
If you put up the statements, I'll edit my answer
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Step-by-step explanation:
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Answer:
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verify/prove the following trigonometric identity:
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Answer:
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Step-by-step explanation:
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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 -
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y-
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Answer:
vertex: (0, 0)
focus: (-7, 0)
directrix: x=7
Step-by-step explanation:
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Step-by-step explanation:
Answer:
true
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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:
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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
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
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Answers
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Answers
Answer:
the answer is 49
Answer:
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Step-by-step explanation:
180-90-49 = 41
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Answer:
a is 10
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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°.
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Step-by-step explanation: