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:
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Related Questions
Clay bricks are used as building materials in construction. Do some research on specific heat capacities of brick, concrete, stone etc. and advise on what this means for society.
Answers
Answer:
It means it is the main building block material for society.
Specific heat is the amount of heat energy that causes a unit increase in temperature by required to be added to the unit mass of the substance. It can be measured by the heat capacity of a particular substance. The unit of specific heat is joule/kg/kelvin.
Material Specific heat capacity Thermal conductivity
Clay 1000 0.60
stone 1000 1.8
brick 800 0.73
concrete 1000 1.13
Advice on what this means for society:
Thermal interaction in between indoor and outdoor environments regulated by wall components.The structural and thermal properties influence the behavior of building and fabricating the bricks, stone and others. Clay Bricks are durable, and natural of stable value. A modern building must comply with numerous ecological and economic demands.Learn more about specific heats:
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An archer shoots an arrow 75 m distant target; the bull's-eye of the target is at the same height as the release height of the arrow. If d = 75 m and v = 37 m/s. At what angle must the arrow be released to hit the bull's-eye if its initial speed is 37 m/s?
Answers
Answer:
[tex]16.25^{\circ}[/tex]
Explanation:
R = Horizontal range of projectile = 75 m
v = Velocity of projectile = 37 m/s
g = Acceleration due to gravity = [tex]9.81\ \text{m/s}^2[/tex]
Horizontal range is given by
[tex]R=\dfrac{v^2\sin2\theta}{g}\\\Rightarrow \theta=\dfrac{\sin^{-1}\dfrac{Rg}{v^2}}{2}\\\Rightarrow \theta=\dfrac{\sin^{-1}\dfrac{75\times 9.81}{37^2}}{2}\\\Rightarrow \theta=16.25^{\circ}[/tex]
The angle at which the arrow is to be released is [tex]16.25^{\circ}[/tex].
in prokaryotic and eukaryotic cells the amount of water in the cell is kept at a steady state. The organelles
through which water passes into and out of cell is the
A) cell membrane
B) cell wall
C) nuclear
D) ribosome
Answers
Answer:
A
Explanation:
It would not be C because prokaryotic cells don't have a nucleus. And if you're looking for a body in the cell that controls the nutrients and water it would be A.
john and kate live in the regions marked on the map. john experiences severe winters, with snowstorms and blizzards. in contrast, kate hardly ever experiences temperatures near or below freezing. which of the following statements explain the climate differences in these locations??
Answers
Answer:
A. Kate’s location is at a lower latitude.
C. Kate’s location absorbs sunlight that travels a shorter distance through the atmosphere.
Explanation:
^
Answer:
edmentum :-))
Explanation:
How you work out efficiency?
Answers
Answer:
The work efficiency formula is efficiency = output / input, and you can multiply the result by 100 to get work efficiency as a percentage. This is used across different methods of measuring energy and work, whether it's energy production or machine efficiency.
Explanation:
Hope this helped!!!
The small piston of a hydraulic lift has an area of 0.20 m2. A car weighing 1200 N sits on a rack mounted on the large piston. The large piston has an area of 0.90 m2. What is the mechanical advantage of the hydraulic lift?
Answers
Answer:
4.5
Explanation:
Given the following
Weight of the car = 1200N (Load)
Let us get the effort by using the formula;
F1/A1 = F2/A2
Substitute the given values
1200/0.9 = F2/0.2
Cross multiply
0.9F2 = 1200 * 0.2
0.9F2 = 240
F2 = 240/0.9
F2 = 266.67N
Hence the effort is 266.67N
Mechanical Advntage = Load/Effort
MA = 1200/266.67
MA = 4.5
Hence he mechanical advantage of the hydraulic lift is 4.5
An ideal gas expands isothermally performing 4.30 x 10³ of work in the process. Calculate (a)
the change in internal energy of the gas, and (b) the heat absorbed during this expansion.
Answers
Answer:
The solution of the given query is explained below in the explanation portion.
Explanation:
Given value is:
Work,
⇒ [tex]W=4.30\times 10^3 \ J[/tex]
(a)
The change in the internal energy will be:
⇒ [tex]\Delta V=\frac{3}{2}nR(\Delta T)[/tex]
Throughout the isothermal procedure, The temperature will be constant "ΔT = 0".
then,
⇒ [tex]\Delta V = \frac{3}{2}nR(0)[/tex]
⇒ [tex]\Delta V = 0 \ J[/tex]
(b)
As we know,
⇒ [tex]\Delta V = Q-W[/tex]
On substituting the value, we get
⇒ [tex]0=Q-W[/tex]
On adding W both sides, we get
⇒ [tex]W=Q-W+W[/tex]
⇒ [tex]W=Q[/tex]
On substituting the given value of "W", we get
⇒ [tex]Q=4.30\times 10^3 \ J[/tex]
In a clear cup there are three substances. Their densities are 3, 1, and 2. From top of the cup to the bottom, what would the order of substances be sitting inside the cup?
Answers
Answer:
1, 2 and 3
Explanation:
The most dense substance will settle at the bottom of the cup
A hiking trail is 150 meters long. A mountain lion can run the entire trail in 30 seconds.
How fast does the mountain lion run?
Answers
Answer:
5 meters per second
explanation
sana po makatulong
How will a ray of light traveling parallel to the principle axis of a concave mirror be reflected back
Answers
Answer:
It will be reflected to the principal focus of the concave mirror
Explanation:
This is because all rays parallel and close to the principal axis of a concave mirror get reflected to the principal focus of the mirror.
For a ray to be parallel to the mirror, it must be coming from an infinite distance.
So, using the mirror formula,
1/u + 1/v = 1/f where u = object distance from mirror, v =image distance form mirror and f =focal length of mirror.
Since u = infinite distance = ∞
1/u + 1/v = 1/f
1/∞ + 1/v = 1/f
0 + 1/v = 1/f
1/v = 1/f
v = f
So, the image is at the principal focus.
So, the ray of light parallel to the principal axis of the concave mirror is reflected to the principal focus of the concave mirror.
Running water has materials such as dirt, sand, and dead plants and animals in it. When this water ends up in a lake, the materials it was carrying fall to the bottom of the lake and form layers. A layer is thicker when more water enters the lake. For example, thick layers form during times of heavy rain, and thin layers form during times of little rain. Sometimes lakes dry up. The bottoms of dry lakes can change into rock. This rock will still have layers. A geologist studied one of these rocks made from the bottom of a lake. Which rock layer formed during the wettest season? Layer
Answers
Answer:
The outside layer is the wettest.
Explanation:
Select all of the mixtures:
oxygen
gold
trail mix
soup
air
Answers
Answer:
trail mix, soup, and gold
hope this helps
have a good day :)
Explanation:
Answer:
1: gold 2: trail mix because its a combo of MnM's nuts rasins and whatever else might be in it lastly soup there can be anything in soup
Explanation:
may i be marked brainliest
An object is in motion if ___
Answers
Answer:
An object is in notion if its position change with time.
Why are fats and waxes solid at room temperature?
Answers
Answer:
Fats and waxes are solid at room temperature because they are made of saturated fatty acids. In contrast, oils are mostly unsaturated fatty acids. ... In contrast, unsaturated fatty acids have several kinks in their structure and therefore, are liquid at room temperature.
Amy pulls a spring with a spring constant k = 100 stretching it from its rest length of 0.10 m to 0.2
Answers
Answer:
Elastic potential energy E = 0.5 J
Explanation:
Let us assume we have to find the elastic potential energy stored in the spring.
Given: k = 100
change in the length of the spring x = 0.2-0.1 = 0.1 m
Elastic potential energy
E = [tex]\frac{1}{2} kx^2[/tex]
plugging the values we get
[tex]E = 0.5\times100\times0.1^2\\=0.5 J[/tex]
Hence, Elastic potential energy E = 0.5 J
Amy pulls a spring with a spring constant k = 100 N/m, stretching it from its rest length of 0.10 m to 0.20 m.
What is the elastic potential energy stored in the spring?
Answer: 0.5 J
How would an object’s kinetic energy change if it’s mass decreased by a factor of 3 and it moved 6 times faster?
Answers
Answer: Decreases in mass cause decreases in kinetic energy due to the aforementioned positive relationship between the two. Therefore when mass is decreased, an increase in kinetic energy is possible if velocity increases.
Answer:: Decreases in mass cause decreases in kinetic energy due to the aforementioned positive relationship between the two.
Someone please help me figure this out
Answers
Answer:
the answer is A
Explanation:
hope this helps you will u plz mark me sa brainliest?
Describe the three methods of thermal energy transfer and provide a sketch that depicts each:
Conduction:
Convection:
Radiation:
Answers
Answer:
a)the process by which heat or electricity is directly transmitted through the material of a substance when there is a difference of temperature
b)the movement caused within a fluid by the tendency of hotter and therefore less dense material to rise, and colder, denser material to sink under the influence of gravity, which consequently results in transfer of heat
c)radiation is the emission or transmission of energy in the form of waves or particles through space or through a material medium.
Derive formula of time period of S.H.M.
Answers
Answer:
it os shm and yea because of the smh
Explanation:
smh
Power is the rate at which...........is done or the rate at which........... is converted from one form to another .
Answers
Answer:
the answer is c I thought
GIVING BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 20pts-
Answers
Answer:
B
Explanation:
inside of a balloon is gas so it has room to move freely
Choose the correct answer?
Answers
Answer:
B
Explanation:
to transmit heat sound or electricity through a medium
Answers
Answer:Electrical conduction is the transfer of electrically charged particles through a medium, such as electricity traveling through the power lines in your house. Sound conduction (or acoustic conduction) is the transfer of sound waves through a medium, such as vibrations from loud music passing through a wall.
Explanation: Trust
The speed of light is 300,000,000 m/s. Red light has a wavelength of 0.0000007 m. What is its frequency?
Answers
Answer:
2.33..
Explanation:
f = wavelength/speed
= 0.0000007/300000000
= 2.333...
What do scientists use satellites for?
(there is no science colum)
Answers
Answer:
NASA satellites help scientists study Earth and space. Satellites looking toward Earth provide information about clouds, oceans, land and ice. They also measure gases in the atmosphere, such as ozone and carbon dioxide, and the amount of energy that Earth absorbs and emits. And satellites monitor wildfires, volcanoes and their smoke.
Explanation:
Hope this helps! :) have a great day.
1. GPS
2. Internet
3. Weather forecast
4. Observation
5. Experiments
6. Discovery
which vector is the sum of vectors a and b
Answers
Answer:
C
Explanation:
Vector A points up
Vector B points right
The combination must be both up and right which is C
A 100 N force is applied to move an object a horizontal distance of 5 meters at constant speed in 10 seconds. How much power is done?
Answers
Answer:
50 W
Explanation:
Given :Force applied = 100 NDistance covered = 5 metresTime = 10 secondsTo find :
Power
Solution :For calculating power, we first need to know about the work done.
[tex] \bf \boxed{Work = Force \times displacement} [/tex]
Now, substituting values in the above formula;
Work = 100 × 5
= 500 Nm or 500 J
We know that,
[tex]\bf \boxed{Power=\dfrac{Work\:done}{Time\: taken}}[/tex]
Substituting values in above formula;
Power = 500/ 10
= 50 Nm/s or 50 W
Hence, power = 50 W .
14. A light bulb has a resistance of 8 ohms and a maximum current of 10 A How much voltage can
be applied before the bulb will break?
Answers
Answer:
80 volts.
Explanation:
From the question,
Applying Ohm's law
V = IR...................... Equation 1
Where V = Voltage, I = maximum current of the bulb, R = Resistance of the bulb.
Given: I = 10 A, R = ohms
Substitute these values into equation 1
V = 10×8
V = 80 volt.
Hence the voltage that can be applied is 80 volt.
When ___ attacks the surface of a metal, it becomes tarnished.
Answers
Answer:corrosion (i believe)
Explanation:
Answer
Mix baking soda and salt with hot water and cover everything with it. The proportions are not crucial, but about 1 tablespoon of salt and 1 tablespoon of baking soda to 3 dl water should do the trick. Lightly tarnished objects should clean up in a few minutes, and you just rinse them of and dry them.
Explanation:
A double slit produces a diffraction pattern that is a combination of single and double slit interference. Find the ratio of the width of the slits to the separation between them, if the first minimum of the single slit pattern falls on the fifth maximum of the double slit pattern. (This will greatly reduce the intensity of the fifth maximum.)
Answers
Answer:
The ratio of the width of the slits to the separation between them is 1:5
Explanation:
For this set of question
n = 1, m = 5
As we know for nth minimum
[tex]D sin\theta =n \lambda[/tex]
For mth Maximum
[tex]d sin\theta =m \lambda[/tex]
From the above two equations we get
[tex]Sin\theta = \frac{1*\lambda}{D} \\d * \frac{1*\lambda}{D} = 5 *\lambda\\\frac{D}{d} = \frac{1}{5}[/tex]
The ratio of the width of the slits to the separation between them is 1:5