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
Nutka1998 [239]
3 years ago
9

Suppose that $3000 is placed in an account that pays 16% interest compounded each year. Assume that no withdrawals are made from

the account. Follow the instructions below. Do not do any rounding. (a) Find the amount in the account at the end of 1 year. (b) Find the amount in the account at the end of 2 years.
Mathematics
1 answer:
Papessa [141]3 years ago
4 0

Answer:

a) $3480

b) $4036.8

Step-by-step explanation:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Suppose that $3000 is placed in an account that pays 16% interest compounded each year.

This means, respectively, that P = 3000, r = 0.16, n = 1

So

A(t) = P(1 + \frac{r}{n})^{nt}

A(t) = 3000(1 + \frac{0.16}{1})^{t}

A(t) = 3000(1.16)^{t}

(a) Find the amount in the account at the end of 1 year.

This is A(1).

A(t) = 3000(1.16)^{t}

A(1) = 3000(1.16)^{1} = 3480

(b) Find the amount in the account at the end of 2 years.

This is A(2).

A(2) = 3000(1.16)^{2} = 4036.8

You might be interested in
3+1 + - + ... ?<br> What is the sum of the first 7 terms of this geometric series: 3+1+ 3
mote1985 [20]

Answer:

15

Step-by-step explanation:

3+1+3+1+3+1+3= 15 this is what it would look like if you write it out. To save time do 3 times 4 to get 12 and then just add three ones to 12 to get 15.

8 0
3 years ago
There are 8 peaches in the basket. Mrs Dalton puts 7 more peaches in the basket. Complete the addition sentence to find how many
Snezhnost [94]
8 + 7 = 15
15 peaches are now in the basket
6 0
3 years ago
Read 2 more answers
Is the number 4.333..... rational or irrational?
AleksAgata [21]

Answer:

Irrational number

7 0
3 years ago
Francine ran 3 1/2 laps around the circular track in the school gym. The track has a diameter of 1/2 miles. About how far does F
Juliette [100K]

Answer:

Francine run 5.495 miles

Step-by-step explanation:

Given :

Francine ran  3\frac{1}{2}  laps around the circular track in the school gym.

The track has a diameter of 1/2 miles.

To Find :  About how far does Francine run?

Solution :

First we need to calculate the perimeter of circular track :

Perimeter of circle :  2\pi r

Since we are given the diameter = 1/2 miles = 0.5 miles

So, Radius will be (Diameter/2) = 0.5/2 = 0.25 miles

So, The perimeter will be:

2\pi *0.25

0.5\pi

Since \pi =3.14

⇒0.5*3.14

⇒1.57

Thus the circular track is of 1.57 miles .

Since she ran   3\frac{1}{2}  = 7/2=3.5 laps

1 lap = 1.57 miles

So, 3.5 laps = 1.57*3.5 =5.495 miles .

Hence ,  Francine run 5.495 miles


6 0
3 years ago
How many times does 4 go in 64
Afina-wow [57]

Answer:

Step-by-step explanation:

4 goes into 64 sixteen times. 64/4 = 16 16 x 4 = 64

7 0
3 years ago
Read 2 more answers
Other questions:
  • How do i solve x-y+8 if x=5 and y=3?
    9·2 answers
  • A streamer goes downstream from point A to B in 9hrs .from B to A ,upstream it takes 10h .if the speed is 1km/hr , what will be
    5·1 answer
  • Many smoke detectors contain:
    13·1 answer
  • -3(2x+7)=-51 what does x=
    8·1 answer
  • Let X and Y be the following sets:
    12·1 answer
  • Simplify the expression 2[13-1)^2/2]
    15·1 answer
  • Is 1.36 a rational number or irrational number
    7·2 answers
  • 2x + 2 = x + 3 Please help asap
    9·1 answer
  • Simplify: |72 - 9 • 7| - 8|16 - 2|
    6·1 answer
  • Which congruence statement correctly compares the two triangles shown?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!