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
#SPJ2
Related Questions
Blown balloon kept outside on a sunny day bursts what will happen to the ballon
Answers
When the balloon is kept in the sun, due to Sun's heat, the kinetic energy of gaseous particles inside the balloons also gets increased and the balloon expands. This will increase the pressure on the walls of the balloon. It continues to expand and comes to a stage when the baloon bursts.
Suppose you are working on green house, which light you would
use for their growth?
Answers
Answer:
Fluorescent lighting is usually used.
Explanation:
Answer:
HPS lighting or LED light
Explanation:
HPS light is well known choice with a proven track record for growers. While you can also use LED lights as an alternative to incandescent or HPS fixtures for day length extension.
NO LINKS PLEASE. brainly to the best answer.
Compare and contrast potential energy and kinetic energy
Answers
Answer:
Kinetic energy is energy possessed by a body by virtue of its movement. Potential energy is the energy possessed by a body by virtue of its position or state. While kinetic energy of an object is relative to the state of other objects in its environment, potential energy is completely independent of its environment.
Both energies are related to motion.
Explanation:
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.
Which scenario did not include a chemical change?
Answers
Answer:
what scenario i dont understand
Explanation:
step by step explenation
at what point does the skater have the least amount of KE kinetic energy?
Answers
Answer:
I think it's D
Explanation:
because kinetic basically means moving and potential mean sitting still so ig it's c or D
Sounds that reflect off of hard surfaces can create an echo.
O True
O False
Answers
Answer: True
Explanation:
2 ways in which the effects of friction can be minimised in the experiment
Answers
Answer:
Friction can be minimized by using lubricants like oil and grease and by using ball bearing between machine parts. A substance that is introduced between two surfaces in contact, to reduce friction, is called a lubricant. Fluid friction can be minimized by giving suitable shapes to the objects moving in the fluids.
Explanation:
hope it helps
Question 4
1 pts
If you have a voltage of 120 volts entering your house and a light bulb with
0.625 amperes flowing through it, how many watts is your light bulb?
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
Explanation:
p(power)=i(current)×v(voltage)
p = 0.625 × 120
p =75 watts
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:
https://brainly.com/question/25316464
HELP!!!
A(n) ________ effect reddens the sun at sunset and sunrise.
•Diffuse
•Reflection
•Scattering
•Opaque
Answers
I learned this the other day it should be right because of the rays that scatter
science help please in le photo...........
Answers
Imani stirs a cup of hot sencha tea with a cool silver spoon. She notices that the silver spoon becomes warmer. What energy change occurs when the silver spoon is added to the hot cup of sencha tea?
A. The spoon adds its cold to the hot tea
B. The hot tea absorbs the heat from the spoon
C. The cool spoon causes the water to expand thus cooling it
D. The tea loses heat to the spoon causing the spoon to become warmer
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.
Therefore, the correct option is:
D. The tea loses heat to the spoon causing the spoon to become warmer
Gender differences in learning are due to both genetics and socialization.
t or f
Answers
Answer:
TRUE
Explanation:
THERE YOU GOOO!!!!!!!!!!!!!!
(also hi lulu)
CAN U HELP PLZZ? ;(
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? *
A.)Yes, because the net force & net work is more than 0N
B.)Yes, because the net force & net work equals 0N
C.)No, because the net force & net work is more than 0N
D.)No, because the net force & net work equals 0N
E.)Need more info
Answers
What are two ways you can increase power by climbing the stairs?
Answers
Answer:
change the
timedistance force.Explanation:
P = W/time
W = F*d
You have control over how fast you go up the stairs.
You also have control over how far up the stairs you go.
Therefore the answer is
timedistanceIf you don't like distance as an answer, you can carry something up the stairs -- anything that increases F will do.
is wooden blocks transparent,translucent or opaque
Answers
Answer:
opaque
Explanation:
Materials such as wood, stone, and metals are opaque to visible light.
When heat moves from the ocean to the surrounding air, which is this an example of?
A the transfer of energy from the atmosphere to the hydrosphere
B the transfer of energy from the hydrosphere to the atmosphere
C the transfer of matter from the atmosphere to the hydrosphere
D the transfer of matter from the hydrosphere to the atmosphere
Answers
This is because oceans are part of the hydrosphere. As the air warms it flows up into the atmosphere.
Hope this helps!
The lettuce is scattered all over the garden.
Travel down each path until you reach a head of lettuce, then continue to pick it while
there is still some left.
This is vety hard this is level 4 number 10 on code.org plsss help me
Answers
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.
what is the difference between food and money?
Answers
Which One don’t lie
Answers
Explanation:
heat but I dont see answer choices
You are playing baseball and hit a single, running to first base. Your distance and displacement are
Answer choices:
A. Both 90 feet
B. Both 0 feet
C. Distance 90 feet Displacement 0 feet
D. Distance 0 feet Displacement 90 feet
Answers
Answer:
C. Distance 90 feet Displacement 0 feet
PLEASE HELP ASAP
Compare the two waves. Wave A ___ (check all that apply)
Group of answer choices
has more energy
has a greater amplitude
has a lower amplitude
has a higher frequency
has less energy
has a lower frequency
Answers
Answer:
has more energy, has a greater amplitude, has a higher frequency
Explanation:
Identify the different parts of the face
Answers
Answer:
head
four head
hair
eyes
ears
nose
lips
chick
chin
eyebrow
eyelid
under which conditions do both convex and concave mirrors form virtual images state whether or not each can form a real image if the mirror can form a real image describe how this occurs
Answers
Answer:
Explanation:Concave mirrors can make a real image.when the object is away from the mirror it is called real image and when the object is closer to the mirror it is called virtual mirror.
help meh pls- i lazy
Answers
Answer:
the first question is B, if not then its C
Explanation:
sorry if I am wrong
list and describe the units of power
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.
Horsepower HP 746 watts
Kilowatts kW 1×103W
Megawatts MW 1×106W
Gigawatts GW 1×109W
The S.I unit of power is Watt(W) which is joule per second.
a _____ has to do with the direction of a force
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
Derive formula of time period of S.H.M.
Answers
Answer:
it os shm and yea because of the smh
Explanation:
smh
Atruck with a mass of 5280 Kg has an acceleration of 45 m/s/s what is the force acting on the truck?