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lawyer [7]
3 years ago
14

The function f(x) = 3,267(1 + 0.02)* represents the amount of money in a savings account where x represents time in years. What

does the 3,267 represent?
A.The amount of money in the savings account after one year

B.The amount of money added to the savings account each year

C .The initial amount of money placed in the savings account

D.The growth rate​
Mathematics
2 answers:
artcher [175]3 years ago
8 0

The function f(x) = 3,267(1 + 0.02)* represents the amount of money in a savings account where x represents time in years. What does the 3,267 represent?

Answer:

C .The initial amount of money placed in the savings account

andreyandreev [35.5K]3 years ago
6 0

Answer:

C .The initial amount of money placed in the savings account

Step-by-step explanation:

f(x) = 3,267(1 + 0.02)^x

This is in the form

y = a b^x

where a is the initial amount

b is the growth rate

x is the time

3267 is the initial amount

1.02 is the growth rate, so it grows by .02 or 2 percent

and x is the time

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Roger has 5375 trading cards to give away. He gives each of his 4 friends an equal number of cards. If Roger gives each friend t
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3 years ago
13. The least common multiple of two non-zero integers a and b is the unique positive integer m such that (i) m is a common mult
Vlad [161]

Answer:

[a,b] divides n

Step-by-step explanation:

Let us denote the least common multiple of a and b [a,b]=m.

We want to prove that m divides n, where n is a multiple of a and b.

We suppose m does not divide n, then by the Division Theorem, there exists q and r integers such that:

(1) ... n=mq+r, where 0<r<m

As n is a multiple of a and b, there exists s and t integers such that:

sa=n and tb=n

Same thing happens to m as it is the least common multiple, there exists u and v such that:

ua=m and vb=m

So (1) has the following form:

n=mq+r ⇒ sa=uaq+r ⇒sa-uaq=r⇒(s-uq)a=r and

n=mq+r ⇒ tb=vbq+r ⇒ tb-vbq=r⇒ (t-vq)b=r

So r is a multiple of a and b, but r<m which is a contradiction as, m is the least common multiple of a and b. So this concludes the proof.

So this means that \frac{ab}{m} is and integer.

As m= vb, then \frac{m}{b} is an integer, lets say \frac{m}{b}=v; and as m=ua, then \frac{m}{a}=u.

So \frac{ab}{m}v=\frac{ab}{m}\frac{m}{b}=a, so \frac{ab}{m} divides a; on the other hand, \frac{ab}{m}u=\frac{ab}{m}\frac{m}{a}=b, so \frac{ab}{m} divides b. From this we can conclude that \frac{ab}{m} is a common divisor of a and b.

4 0
3 years ago
The population of the town was 25,000 people.Then 3,200 people moved away.What was the percent of increase?
german

Answer:

-12.8%

Step-by-step explanation:

To calculate the percent decrease, we:

  1. Find the difference between the new value and the original
  2. Divide the number by the original
  3. Multiply by 100 and the % symbol.

The population of the town originally had 25,000. 3,200 people moved away. This means that the new population is 21,800.

  1. 21,800-25,000=-3,200
  2. -3,200/25,000=-0.128
  3. -0.128(100)=-12.8%

The towns population decreased by 12.8%.

6 0
3 years ago
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