1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
SCORPION-xisa [38]
3 years ago
7

4400 dollars is placed in an account with an annual interest rate of 7.5%. To the nearest tenth of a year, how long will it take

for the account value to reach 33800 dollars?
Mathematics
2 answers:
gogolik [260]3 years ago
7 0

Answer: it take 28.5 years for the account value to reach 33800 dollars

Step-by-step explanation:

We would assume that the interest was compounded annually. The formula for determining compound interest is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $4400

A = $33800

r = 7.5% = 7.5/100 = 0.075

n = 1 because it was compounded once in a year.

Therefore,

33800 = 4400(1 + 0.075/1)^1 × t

33800/4400 = (1 + 0.075)^t

7.68 = (1.075)^t

Taking log of both sides, it becomes

Log 7.68 = t log 1.075

0.885 = 0.031t

t = 0.885/0.031

t = 28.5 years

Katarina [22]3 years ago
6 0

Answer:

Step-by-step explanation:

The equation for the amount of money in an account after a certain amount is deposited and compounded after t years once per year is

A(t)=P(1+r)^t

Our A(t) = 33800, P = 4400, r = .075 and we are looking for t.  Filling in:

33800=4400(1+.075)^t and

33800=4400(1.075)^t

Begin by dividing both sides by 4400 to get

7.681818182=1.075^t

The only way to move that t our from its current position as an exponent is to take the natural log of both sides and follow the rules for natural logs:

ln(7.6181818182=ln(1.075)^t

The power rule of natural logs says we can move that exponent down in front, giving us:

ln(7.681818182)=t*ln(1.075)

Divide both sides by ln(1.075) to get

\frac{ln(7.61818182)}{ln(1.075)} =t

Do this division on your calculator to get

t = 28.2 years

You might be interested in
An airplane needs to reach a velocity of 203.0 km/h to take off. On a 2000 m runway, what is the minimum acceleration necessary
Aliun [14]

Answer:

1.59 m/s²

Step-by-step explanation:

Acceleration = change in Velocity over time. Mathematically it is represented as Δv/Δt

Given values in the question:

  • Final velocity 203.0 km/h which is equal to (203/3.6)m/s = 56.39 m/s
  • distance 2000 m
  • Initial velocity is 0 m/s

<em>To use the equation for acceleration time is needed.</em>

<em>velocity= distance/time</em>

(203/3.6) = 2000/time  <em>mltiplying both sides by time</em>

(203/3.6) x time = 2000 <em>making time subject of the formula</em>

time = 2000/(203/3.6)

time = 35.47 seconds

Substituting into the acceleration equation

acceleration =Δv/Δt

                      =(56.39- 0)/35.47

                       = 56.39/35.47

                       =1.59 m/s²

6 0
3 years ago
Will mark brainliest!!
wlad13 [49]
<span>Solve the system

9x = 27-9y
20x=71-9y

Let's use the "elimination through addition/subtraction method.
Multiply the first equation by -1 so as to obtain +9y:

-9x = -27 + 9y
</span><span>20x=  71-   9y
--------------------

Add these 2 equations together:

</span>-9x = -27 + 9y
20x=  71-   9y
--------------------
<span> 11x = 44

Solve this for x:  x = 44/11 = 4.

Now find y by subst. 4 for x in either of the original equations.

Using the second equation:    </span><span> 

</span>20x=71-9y
20(4) = 71 - 9y
80-71 = -9y
9 = -9y.  Then y = -1.

The solution set is (4,-1).
7 0
3 years ago
Evaluate each expression If X equals six 4(x-5)
DochEvi [55]

Answer:

4

Step-by-step explanation:

Let us plug x in to the equation given that it equals 6.

4(6-5)=

4*1=

4

<em>Hope this helps! :)</em>

3 0
2 years ago
Paolo is using his grandmother's breakfast bar recipe. He always doubles
Papessa [141]

Answer:

6\frac{1}{3} = 2\frac{1}{2} * 2 + \frac{x}{2}

Step-by-step explanation:

lets start with what we know.

the recipe calls for 2 \frac{1}{2} cups of yogurt. and Paolo doubles the recipe. so multiply the recipe for yogurt by 2

2 \frac{1}{2} * 2 = 5 cups of yogurt.

the total of yogurt and oats is 6\frac{1}{3} and we know how much yogurt we have so we subtract that from the total of both.

6\frac{1}{3} - 5 = 1\frac{1}{3}

the oats after doubling were 1\frac{1}{3} cups so u divide it by 2

1\frac{1}{3} / 2 = \frac{2}{3} before doubling

7 0
2 years ago
3. Mrs. Smith's class took a survey and found that 9 of 13 students prefer two scoops of ice cream versus one scoop of ice cream
Murljashka [212]
9/13=x/104
9•104=13x
936=13x
X=72
3 0
2 years ago
Other questions:
  • !! HELP ASAP!!
    14·2 answers
  • Out of 25 attempts, a basketball player scored 17 times. One-half of the missed shots are what % of the total shots?
    12·2 answers
  • Help please I need help
    14·2 answers
  • 2/3 of a class are girls
    13·1 answer
  • PLEASE HELP!!! <br> Which graph shows a function whose inverse is also a function?
    10·2 answers
  • Given f(x) = 1/2x - 5, find f^-1(x)
    8·1 answer
  • A one-stop flight from seattle to nyc can stop at boise, omaha, or chicago. the flight then connects to either la guardia or jfk
    14·1 answer
  • What is the area please
    11·2 answers
  • 46 divided by 4 <br> Please help
    9·1 answer
  • Big money butts how to do.​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!