9514 1404 393
Answer:
B. Between 9% and 9.9%
Step-by-step explanation:
The equation for the sum of a series of monthly payments P earning interest rate r compounded monthly for t years is given by ...
A = P((1 +r/12)^(12t) -1)/(r/12)
The number of years in this case is ...
70 -18 = 52
We want to find r such that ...
1,000,000 = 50·12((1 +r/12)^(12·52) -1)/r
10,000/6 = ((1 +r/12)^624 -1)/r
We can try some values for r to see what may work.
<u>r = 9%</u>
((1 +.09/12)^624 -1)/.09 = 1165.60 . . . not quite enough
<u>r = 10%</u>
((1 +0.10/12)^624 -1)/0.10 = 176408 . . . > 1666.67
The required interest rate will be between 9% and 10%, option B.
_____
In general, finding the exact interest rate is an iterative process. A financial calculator can do it for you. The result is near 9.86%. The graph shows a solution using a graphing calculator.
Answer:
392 students
Step-by-step explanation:
we know that
The equation of a exponential growth function is given by
where
y is the number of students at the school
x is the number of years
r is the rate of change
a is the initial value
we have
substitute
For x=5 years
substitute
9 is the ANSWER R !!!!!!!!!!
Answer:
<h3> __</h3><h3>0.63</h3>
Step-by-step explanation:
7/11 = no, add 0
70/11 = 6, so 0.6, remainder is 4, add 0
40/11 = 3, so 0.03, remainder is 7, add 0
70/11 = 6... and it goes on
<h3>The answer is 0.63 bar notation on both 6 and 3</h3>
Answer:
76,800 subscribers :)
Step-by-step explanation:
Initially: 4,800
3 years: If the number of subscribers is doubling every 3 years, all you have to do is multiply it by 2.
4,800 · 2 = 9,600
So, after 3 years, they have 9,600 subscribers.
6 years: Now that the health blog has 9,600 subscribers, you need to multiply THAT number by 2.
9,600 · 2 = 19,200
Now the blog has 19,200 subscribers
9 years: Now, we just repeat what we've been doing for the other 6 years: multiply the blog's current subscriber count by 2.
19,200 · 2 = 38,400
12 years: Once more and we'll have our answer! Sub count is 38,400. Now double it.
38,400 · 2 = 76,800
Hope this helps! :)