Answer:
12.68%
Step-by-step explanation:
To calculate effective annual interest rate we need to use the following formula:

Where, 'i' is the effective annual interest rate
'r' is the annual rate of interest
'm' is the frequency of compounding.
When there is continuous compounding the effective annual rate uses the following formula:

In our case we would are assume that there is continuous compounding since no information regarding the frequency of compounding is given:
Plugging r=12%=0.12, we get:




Therefore, the effective annual interest rate is 12.74%.
Graph the two points and you'll see that the radius is 3.
C=2(pi)r
C = 2(3.14)(3)
C = 18.84
Answer:
72km
Step-by-step explanation:
alex : tomos : annabelle = 2 : 3 : 4
if tomos drove 24km
tomos ratio is 3
so 3 --> 24
<em>1 --> 8 </em>
<u>total ratios --> 2 + 3 + 4 = 9</u>
so total journey is 9 --> 9 * 8 = 72km
Using an exponential function, it is found that f(5.5) = 19.8.
<h3>What is an exponential function?</h3>
An exponential function is a function in which the growth rate is a percentage, modeled by:

In which:
f(3.5) = 25 means that:


f(8.5) = 14 means that:

Hence:


![b = \sqrt[5]{\frac{14}{25}}](https://tex.z-dn.net/?f=b%20%3D%20%5Csqrt%5B5%5D%7B%5Cfrac%7B14%7D%7B25%7D%7D)


Hence, the function is given by:

Then, when x = 5.5:

More can be learned about exponential functions at brainly.com/question/25537936
1 Remove parentheses.
2(5c−7)≥c−3
2 Expand.
10c−14 ≥ c −3
3 Add 14 to both sides.
10c-14+14≥ c − 3+14
4 Simplify c−3+14 to c+11
10c≥c+11
5 Subtract c from both sides.
10c−c≥11
6 Simplify 10c−c to 9c
9c≥11
7 Divide both sides by 9.
c ≥11/9