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
max2010maxim [7]
3 years ago
9

The Rickerts decided to set up an account for their daughter to pay for her college education. The day their daughter was born,

they deposited $1000 in an account that pays 1.8% compounded annually. Beginning with her first birthday, they deposit an additional $750 into the account on each of her birthdays. Which expression correctly represents the amount of money in the account n years after their daughter was born?1) an = 1000(1.018)n + 750.2) an = 1000(1.018)n + 750n.3) a0 = 1000; an = an - 1 (1.018) + 750.4) a0 = 1000; an = an - 1 (1.018) + 750n.
Mathematics
2 answers:
KiRa [710]3 years ago
8 0

Answer:

The answer is 2) an = 1000(1.018)n + 750n

Step-by-step explanation:

The day their daughter was born, they deposited $1000 in an account that pays 1.8% compounded annually. This means thaht they have an interest of 1.8% of what they deposited each year.  

To know how much interest is in a year, you must first know that 1.8% is the same as 0.018. This is obtained by dividing by 100, that is, you convert from percentage to decimal.

On the other side, what they deposited represents 100%. To convert it to decimal, it must be divided by 100, and it results in 1.

So, you want to know the total amount of money you have after a year, that is, what The Rickerts deposited added interest.

So, all this is represented as follows:

  • 1000*100%(what The Rickerts deposited)+1000*1.8%(interest)

Converting the percentage to decimals:

  • 1000*1+1000*0.018

So, to solve this, a common factor of 1000 will be taken::

  • 1000(1+0.018)
  • 1000*1.018

But with this calculation you get interest after a year. You want to know the amount of money in the account n years after their daughter was born.  For that you must multiply by the number of years of your daughter and you get: <u><em>1000*1.018*n</em></u>

On the other hand,The Rickerts deposit an additional $750 into the account on each of her birthdays. On the first birthday, they deposit 750, on the second birthday 750, and so continuously every birthday. So, to know the amount they deposit on the nth birthday, multiply 750 by n: <u><em>750*n</em></u>

Now, knowing finally both expressions, it is possible to know the total amount of money in the account n years after their daughter was born adding both expressions:

<u><em>an=1000*1.018*n+750*n</em></u>

BlackZzzverrR [31]3 years ago
5 0

Answer:

The correct expression to solve this problem is an = 1000(1.018)n + 750*n

You might be interested in
E and f are supplementary. the measure of e is 54 more than the measure of f. find the measures of each angle.
Katen [24]
Supplementary means they add up to 180

X + 54 = 180

180-54= x

X = 126

126+54=180?

Yep

So your answer is

126
6 0
3 years ago
Graph 2 1/2 and opposite
Setler79 [48]

Answer:

2 1.2 and -2 1/2

Step-by-step explanation:

8 0
3 years ago
What is the y- intercept of the graph of 2x + y = -4?
Brrunno [24]

First write the equation in slope-intercept form which is more commonly known as <em>y = mx + b</em> form where the <em>m </em>or the coefficient of the x term represents the slope of the <em>b</em> or the constant term represents the y-intercept.

Subtract 2x from both sides to get <em>y = -2x - 4</em>.

I put the x term first because that's how it is in y = mx + b form.

Now we can see that the <em>b</em> or the constant term is -4.

We can write this as the ordered pair (0, -4).

Keep in mind when writing a y-intercept as an ordered pair, your x-coordinate will always be 0 in the ordered pair.

8 0
3 years ago
If a car is traveling 75 miles per hour, how many feet will it travel in 10 seconds?
Alekssandra [29.7K]

Answer:

Step-by-step explanation:

speed=75 miles per hour

speed=\frac{75 \times 1760 \times 3 }{3600 } =110 ~ft~/ ~s

distance covered in 10 seconds=110×10=1100 ft

3 0
3 years ago
Read 2 more answers
Question 1: Multiply and simplify.
andrew-mc [135]

Answer:

question 1 = x7 and question 2 = 24x^3+56x^2 I'm pretty sure

4 0
3 years ago
Other questions:
  • there are 18 students on the school bus. There are 5 seniors 2 juniors 6 sophomores and 5 freshmen. what is the ratio of juniors
    7·2 answers
  • An article in the National Geographic News ("U.S. Racking Up Huge Sleep Debt," February 24, 2005) argues that Americans are incr
    9·2 answers
  • A package of AA batteries cost 3.50 plus an additional 6% tax. What is the price after tax?
    7·2 answers
  • A bookstore is selling books for $10 each which graph shows the relationship between the number of books x the store sold and th
    13·2 answers
  • Does the rule y=-3*2^x represent a linear or an exponential function?
    5·1 answer
  • 2<br>Find the perimeter and area of this shape.<br>1 cm<br>NOT TO<br>SCALE<br>6 cm<br>1 cm<br>9 cm​
    6·1 answer
  • If g(x) = 3x + 8, evaluate g(2)
    7·1 answer
  • How much interest would you earn if you put $4000 in the bank at a rate of 8% for 5 years?
    7·1 answer
  • HELP PLEASEEEEEE!!!!!!
    11·1 answer
  • Two supplementary angles are in a ration of 3 7 find the measure of each angle
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!