Answer:

Step-by-step explanation:
<u>Exponential Function</u>
When we need to express the exponential relation between two variables, we use the equation

where C, r are constants to be determined by using the given points from the table
For x=0, y=2, thus

We find that C=2
The equation is now

Now we use the point x=1, y=1

We find that

Thus, the equation is

Rearranging

The required equation is

We can easily verify the last two points are also obtained by using the equation
Okay so there are 52 weeks in a year and she runs 12 miles every week so multiply 52 times 12 which equals 624
The intersection of 2 lines is a point so A. Because that’s where the lines meet then if they keep going they shouldn’t touch again.
Answer:
Step-by-step explanation:
when you are taking (4/10) and dividing it by 2. you have a fraction over a fraction. if you remember what you do to the top part of the equation you do to the bottom. so we want to get rid of dividing by 2. (multiple by the reciprocal) the reciprocal of 2 is 1/2. that will cancel out the bottom part of the equation but what you do to the bottom you have to do to the top. so, (4/10) * 1/2 is the same as (4/10) divided by 2. hope that makes sense. it's much easier to write out then type math...
Answer:
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1 + r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = £600
r = 3.2% = 3.2/100 = 0.32
n = 1 because it was compounded once in a year.
t = 6 years
Therefore,.
A = 600(1 + 0.032/1)^1 × 6
A = 600(1.032)^6
A = £724.82