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]
2 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the amount of money in the account t years after the account is opened, given that no more money is deposited into or withdrawn from the account.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]2 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
Complete the statement.<br> L=234 mL
Andru [333]

Answer:

0.234

Step-by-step explanation:

3 0
3 years ago
Who try to play quizizz with me
algol [13]

Answer: no thanks im good

5 0
3 years ago
Read 2 more answers
Bill earned $12 walking his neighbors' dogs on Saturday. He earned some extra money on Sunday doing the same thing. Write an exp
Tems11 [23]
Answer:
Part A: 12 + X
Part B: 25 + 2
Step-by-step explanation:
First thing you need to know is the
difference between an expression and an
equation. An expression does not have an
equal sign, while an equation does.
To write an expression for Part A, first write
the 12 (the amount he got on Saturday).
Then, we need to write the addition sign (to
find the total amount Bill earned). We don't
know how much Bill earned on Sunday, so
use any variable (I used x). Because we're
writing an expression, do not write an
equal sign.
To write an expression for Part B, first write
the amount of dogs his friend Steve walked
using a variable because we don't know
that number (I used the variable s). Then,
since Bill walked 2 more than twice as
many dogs Steve walked, write the s
multiplied by the 2 or just 2s. Now add the
addition sign (to find the total amount Bill
walked). Add a 2 because Bill walked 2
more dogs than twice as many Steves walked.

Hope it helps!
7 0
1 year ago
What is 3/8 divided by 4/5​
creativ13 [48]
15/32 hope this helps
6 0
3 years ago
Read 2 more answers
A map has a scale of 1 cm : 5 km. Determine how far apart two cities are if they are 4 cm apart on the map?
Kay [80]

Answer:

he is right its A

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • What is the solution to the equation –13+x = –4?<br> a. –17<br> b. 9<br> c. –9<br> d. 17
    7·1 answer
  • Cameron is designing a calendar as a fund raising project for math class. The cost of printing is $500, plus $2.50 per calendar.
    11·2 answers
  • Tell the maximum number of zeros that the polynomial function may have. then use​ descartes' rule of signs to determine how many
    5·1 answer
  • . A binary string containing M 0’s and N 1’s (in arbitrary order, where all orderings are equally likely) is sent over a network
    8·1 answer
  • Which list shows the numbers in order from greatest to least? A) 2.022 &gt; 2.51 &gt; 2.505 &gt; 2.52 B) 7.117 &gt; 7.37 &gt; 7.
    5·1 answer
  • 331 students went on a field trip. Six buses
    5·2 answers
  • Which of the following expressions is equal to -3x^2-27?
    14·1 answer
  • What is an alternate interior angle
    7·2 answers
  • HEEELLLLLLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
    14·2 answers
  • PLEASE HELP ASAP I WILL GIVE BRAINSLET TO THE CORRECT ANSWER!!!!!!!!!!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!