A person invested
$
8
,
900
$8,900 in an account growing at a rate allowing the money to double every 7 years. How long, to the nearest tenth of a year would it take for the value of the account to reach
$
20
,
600
$20,600?
Answers
Answer:
8.5
Explanation:
To the nearest tenth of a year, it would take around 9.1 years when calculate compoundly for the account's worth to reach $20,600.
What is Compound interest?A loan or investment's initial principal as well as any accrued interest from earlier periods are both taken into account when calculating compound interest.
To resolve this issue, we can apply the compound interest formula:
A = P(1 + r/n)nt
where:
A represents the balance of the account after t years.P stands for the initial outlay ($8,900 in this case).The annual interest rate is r, which is unknown.The number n determines how often interest is compounded each year (in this case, once every seven years because the value of the money doubles every seven years).The number of years is t.When A = $20,600, we need to determine t. Since we are aware that the initial investment would double after seven years, we can use the following formula to determine the yearly interest rate:
2 = (1 + r/n)^(nt)
If n is 1/7 (since the investment twice once every 7 years), 2 is the factor by which the investment doubles, and t is an unknown.
When we simplify this equation, we obtain:
t log(1 + r/7) = log(2)
When we solve for r, we get:
r = 7[(2^(1/t))-1]
Now that we have P, r, n, and A, we can enter them into the compound interest formula to find t:
$20,600 = $8,900(1 + r/1)^(1t)
2.318 = (1 + r)^t = log (2.318) / log (one plus r)
t is equal to log(2.318)/log(1 + 7[(2(1/t))-1]).
We can iteratively solve for t using a calculator, beginning with a first guess of 7 years (because the investment doubles every 7 years):
r = 0.0998 and A = $17,800 for t = 7 years
r = 0.0909 and A = $19,397 for t = 8 years.
r = 0.0833 and A = $20,416 for t = 9 years.
r = 0.0823 and A = $20,601 (closest to $20,600) for t = 9.1 years
As a result, it would take the account's value to reach $20,600 in around 9.1 years (to the nearest tenth of a year).
Therefore, when calculated compoundly, it would take approximately 9.1 years for the account's value to reach $20,600, to the nearest tenth of a year.
Learn more about Compound interest, here:
https://brainly.com/question/18958915
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Related Questions
the soft ballplayer does 9876 joules of work when hitting a ball into center field. Assuming the ball landed 100 meters away from home plate, how much force did the player use to hit the ball?
Answers
Answer:
F = 987600 N
Explanation:
Force Equation
F=ma
Newton's second law states that force is proportional to what is required for an object of constant mass to change its velocity. This is equal to that object's mass multiplied by its acceleration. We use Newtons, kilograms, and meters per second squared as our default units, although any appropriate units for mass (grams, ounces, etc.) or velocity (miles per hour per second, millimeters per second2, etc.) could certainly be used as well - the calculation is the same regardless.
Solve
F = m * a
F = 100 kg * 9876 m/s2
F = 987600 N
Newtons are derived units, equal to 1 kg-m/s². In other words, a single Newton is equal to the force needed to accelerate one kilogram one meter per second squared.
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TRUE
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Answers
Answer:
D. The tea loses heat to the spoon causing the spoon to become warmer
Explanation:
When the silver spoon at a lower temperature than the tea, is added to the tea, it makes thermal contact. Hence, the heat transfer starts between the two until the equilibrium is reached. We know that the heat transfer takes place from the body with a higher temperature to a body with a lower temperature. As a result, the body with higher temperature loses heat and its temperature lowers down. While the body with a lower temperature gains heat and its temperature rises.
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Answer:
Explanation:
Coding is all about logic, since I do not have the actual problem from the website I will guide you on how to solve this.
Since you need to go a certain direction you will need to indicate to the character which direction to go. Next, we need to prevent the player from travelling through a wall, we can accomplish this using an IF/ELSE statement. IF the next block in that direction is a wall then do not move forward, ELSE move forward. We would call this statement every time the player tries to move in any direction. Finally, once we reach the lettuce we need to continue picking it until there is no more. To do this we use a While loop, that checks to see if there is any more lettuce, if there is it will run the code to pick up lettuce, if there is NO more then the While loop will exit. That would be the entire code.
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Answers
Answer:
On the other hand, power is a scalar quantity and is basically the amount of energy consumed per unit time which has no direction.
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Kilowatts kW 1×103W
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Gigawatts GW 1×109W
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Answer:
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Answer:
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A 12kg aluminum box is sliding along a horizontal steel surface while experiencing a rightward applied force of 60N. The box has a displacement of 20m. Is this box in Equilibrium? *
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Question 4
1 pts
If you have a voltage of 120 volts entering your house and a light bulb with
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A. 50 watts
B. 150 watts
C. 25 watts
D. 75 watts
Answers
Answer:
D. 75 watts
Explanation:
brainliest please? i've just answered 3 of your questions and they were all correct! :) i hope i helped!
Answer:
(D) =75 WATTS
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Una caja con medicina es lanzada desde un avión localizado a una distancia vertical de 340 m por encima de un río. Si el avión lleva una velocidad horizontal de 70 m/s¿Qué distancia horizontal recorrerá la caja con medicina antes de caer al río?
Answers
Answer:
La distancia horizontal que recorrerá la caja con medicina antes de caer al río es 583.1 metros.
Explanation:
Una caja con medicina es lanzada desde un avión localizado a una distancia vertical de 340 m por encima de un río. Este movimiento posee una composición en dos dimensiones: uno horizontal sin aceleración, y el otro vertical con aceleración constante debido a la gravedad. Por lo que se trata de un movimiento rectilíneo uniforme (MRU) en su trayectoria horizontal o eje horizontal (es decir, su velocidad es constante) y un movimiento uniformemente variado (MRUV) en su trayectoria vertical o en el eje vertical (es decir, su aceleración es constante).
En este caso, son conocidos los datos, considerando el sistema de referencia de la imagen:
Vy = 0 m/s (trayectoria vertical) Vx = 70m/s (velocidad horizontal) hi = 340 m (altura inicial) g = -9,8 m/s² hf = 0 m (altura final. Cuando la caja de medicina cae al río, su altura será 0 m)En el caso del MRUV, la posición puede calcularse mediante la expresión:
Posición final= Posición inicial + Velocidad inicial*t + [tex]\frac{1}{2}[/tex]*a*t²
donde a es la aceleración y t el tiempo transcurrido.
En este caso, reemplazando los datos conocidos, teniendo en cuenta que el MRUV sucede en la trayectoria vertical y que la aceleración es el valor de la gravedad:
0 m= 340 m + 0 m/s*t + [tex]\frac{1}{2}[/tex]* (-9.8 m/s²)* t²
Resolviendo:
-340 m= [tex]\frac{1}{2}[/tex]* (-9.8 m/s²)* t²
[tex]\frac{-340 m}{\frac{1}{2} *(9.8\frac{m}{s^{2} } )} =t^{2}[/tex]
69.39 s²= t²
t= √69.39 s²
t= 8.33 s
La posición en MRU se obtiene mediante:
Posición final= Posición inicial + velocidad* tiempo
Con los datos conocidos y el tiempo calculado previamente, es posible calcular la distancia horizontal que recorrerá la caja con medicina antes de caer al río, siendo la posición inicial en x igual a cero:
Posición final= 0 m + 70m/s* 8.33 s
Posición final= 583.1 m
La distancia horizontal que recorrerá la caja con medicina antes de caer al río es 583.1 metros.
Veremos que la distancia horizontal que recorre la caja es 583.1 metros.
¿Como encontrar la distanca horizontal recorrida?Recordar que la velocidad vertical y horizontal son independientes.
Aqui, lo primero que debemos hacer es encontrar el tiempo que la caja tarda en llegar al suelo.
Para ello usamos la ecuación de movimiento vertical:
p(t) = (-4.9 m/s^2)*t^2 + v*t + h
Donde el primer termino representa la gravedad, el segundo la velocidad inicial (que es cero en este caso) y el tercero la altura inicial, que es 340m.
p(t) = (-4.9 m/s^2)*t^2 + 340m
La caja llegara al suelo cuando la función de arriba sea igual a cero:
(-4.9 m/s^2)*t^2 + 340m = 0
t = √(340m/(4.9 m/s^2)) = 8.33 s
Es decir, la caja tarda 8.33 segundos en llegar al suelo.
Esto significa que la caja se va a mover horizontalmente durante 8.33 segundos con una velocidad de 70m/s (la que tenía el avion). Es decir, la distancia horizontal que se mueve la caja es :
D = 8.33s*(70m/s) = 583.1 m
Sí quieres aprender más sobre ecuaciones de movimiento, puedes leer:
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Answer:
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Answers
Answer:
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Answers
Answer:
The "solid force"? ... The direction of the force always seems to be coming out of the solid surface. A direction which is perpendicular to the plane of a surface is said to be normal. The force that a solid surface exerts on anything in the normal direction is called the normal force.
Explanation:
i think i hope this helps
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Answer:
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Answer:
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Explanation:
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Answer:
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Explanation:
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Answer:
I think it's D
Explanation:
because kinetic basically means moving and potential mean sitting still so ig it's c or D