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
goldenfox [79]
3 years ago
9

Find a recurrence relation for the amount of money in a savings account after n years if the interest rate is 6 percent and $50

is added at the start of each year.
Mathematics
1 answer:
Korvikt [17]3 years ago
3 0

Answer:

a_n = a_{n-1} (1.06) + 50

Step-by-step explanation:

Suppose, a_0 is initial amount in the saving account,

Here, the annual interest rate is 6% and additional amount in each year is $ 50,

So, the amount after one year,

a_1 = a_0 + 6\%\text{ of }a_0 + 50 = a_0 + 0.06a_0 + 50 = a_0(1.06) + 50

Amount after 2 years,

a_2 = a_1 + 6\%\text{ of }a_1 + 50 = a_1(1.06) + 50

Amount after 3 years,

a_3 = a_2 + 6\%\text{ of }a_2 + 50 = a_2(1.06) + 50

................................., so on....

Hence, by following the pattern,

The amount after n years,

a_n = a_{n-1} (1.06) + 50

Which is the required recurrence relation for the amount of money in a savings account

You might be interested in
What is the relationship between the line of reflection and rhe segment connecting a point on the preimage with its correspondin
dimaraw [331]
The segment connecting a point on the preimage  is equal to the segment connecting the point with its corresponding point on the image. Hence the relationship between the line of reflection is B. perpendicular bisector. It is not necessarily perpendicular as there are axis of symmetry that are not linear or 180 degrees
7 0
3 years ago
Simplify each expression using the order of operations. Then, match the expression (term) on the left with its solution (definit
Ratling [72]

Step-by-step explanation:

A 55ttty65t78with city council spokeswoman said that in August

6 0
3 years ago
5 - (-7) = 5+ ___ write as addition
polet [3.4K]

Answer

12 is the answer

8 0
3 years ago
Read 2 more answers
Find the distance between each pair of points E(-1, 0),F(12, 0)
Olegator [25]

Answer:

The answer is

<h2>13 \:  \: units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

<h3>d =  \sqrt{ ({x1 - x2})^{2}  +  ({y1 - y2})^{2} }  \\ </h3>

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

E(-1, 0) and F(12, 0)

The distance between them is

<h3>|EF|  =  \sqrt{ ({ - 1 - 12})^{2}  +  ({0 - 0})^{2} }  \\  =  \sqrt{ ({ - 13})^{2} }  \\  =  \sqrt{169}</h3>

We have the final answer as

<h3>|EF| = 13 \:  \: units</h3>

Hope this helps you

5 0
3 years ago
NEED HELP FAST!!! Determine the momentum: An electron (m= 9.1 x 10-31 kg) moving at 2.18 x 106 m/s (as if it were in a Bohr orbi
Greeley [361]

Answer:

fuçk you

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • Susan can run 2 city blocks per minute. She wants to run 60 blocks.How long will it take her to finish if she has already run 18
    9·1 answer
  • Which graph represents (,y)-pairs that make the equation y = 2x true?
    15·1 answer
  • What operation should you use to solve -6
    14·1 answer
  • Identify each function as linear, quadratic, or exponential. ƒ(x) = 4x2 g(x) = 1 - x h(x) = 32x
    7·2 answers
  • Is 3(-4y) equivalent to 6-4y
    10·1 answer
  • 20 points !!! Hurry
    13·2 answers
  • What will be the cost of the paving if cement costs $26.50 per square metre?
    15·1 answer
  • 13 POOINNTSSS PLEASE HELP ON 6-10 AND 13 TIMED TYSM IF U ANSWER
    15·1 answer
  • What is 6.995 to a decimal, fraction, and percent?
    10·2 answers
  • Show that √(1-cos A/1+cos A) =cosec A - cot A​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!