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
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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 :)
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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.
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This graph represents the path of a baseball hit during practice.
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Answer:
Step-by-step explanation:
x-coordinate of the vertex is the time the baseball reaches maximum height.
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Answer:
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Step-by-step explanation:
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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:
[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
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[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
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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.
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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
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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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А
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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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Step-by-step explanation:
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