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
Sergeeva-Olga [200]
3 years ago
15

The Johnson family want to start a college fund for their daughter Gabriella. They put $63, 000 in to an account that grows at a

rate of 2.55% per year, compounded quaterly. Given the function G(t)= 63,000(1+ .0255/4)^ 4t, where G(t) represents the amount of money in the account t years after the account is opened, given that no more money is deposited into or withdrawn from the account.
Calculate the number of years it will take for the account to reach approximately $150,000, to the nearest hundredth of a year.
Mathematics
1 answer:
marissa [1.9K]3 years ago
6 0

Answer:

  • 34.13 years

Step-by-step explanation:

<u>Given formula:</u>

  • G(t)= 63000(1 + 0.0255/4)^4t

<u>Need to find the value of t when G(t) = 150000</u>

  • 150000 = 63000( 1+ 0.0255/4)^4t
  • ( 1+ 0.0255/4)^4t = 150000/63000
  • ( 1+ 0.0255/4)^4t = 2.3809
  • 4t* log( 1+ 0.0255/4) = log 2.3809
  • 4t *0.00275983965 = 0.37674115501
  • t = 0.37674115501/(4*0.00275983965)
  • t = 34.13 years rounded

You might be interested in
What composition of transformations would map figure Fonto figure A?
Juli2301 [7.4K]
I should be A hope this helps
4 0
3 years ago
Please look at the image
Tpy6a [65]

Answer: ok i did :)

Step-by-step explanation: how are you?

6 0
3 years ago
Why should you record a one in the tens column when regrouping in addition?
ICE Princess25 [194]
To keep the place holder
5 0
3 years ago
A set of data items is normally distributed with a mean of 400 and a standard deviation of 60. Find the data item in this distri
Softa [21]

Answer:

The data item is X = 580

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 400 and a standard deviation of 60.

This means that \mu = 400, \sigma = 60

z=3

We have to find X when Z = 3. So

Z = \frac{X - \mu}{\sigma}

3 = \frac{X - 400}{60}

X - 400 = 3*60

X = 580

The data item is X = 580

6 0
3 years ago
Gabriela's monthly take-home pay is $2800, and her monthly rent is $700. If both her monthly take-home pay and her rent increase
ruslelena [56]
Gabriela spends about 30% of her take home pay on rent.
5 0
3 years ago
Read 2 more answers
Other questions:
  • Question 1 WRONG With what number must 3.475817 be multiplied in order to obtain the number 34,758.17? A 100 1,000 10,000 D 100,
    14·1 answer
  • Write the rate as a unit rate. 180 miles on 6 gallons
    9·1 answer
  • 4. Calculate using the order of operations.<br>a) (+30) / (-10) + (-20) / (-1)​
    14·1 answer
  • Plz help!!! Will mark brainliest if answer is correct. <br> FIND M
    6·2 answers
  • Rectangle ABCD is rotated 95° about point Q to create rectangle A'B'C'D'.
    6·1 answer
  • I need to find the area of this whole shape. plz someone help me. ​
    14·2 answers
  • NEED HELP FAST ON THESE 2 questions
    12·1 answer
  • 8th grade math :( tysm to who helps
    8·1 answer
  • Find the area of this figure<br> Show work, please
    5·1 answer
  • The local Deli is selling 1.5 bags of ice for $9.75. What is the unit price?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!