Answer:
After 1 year: $7,256.59
After 5 years: $8,380.52
After 20 years: $14,381.03
APY = 3.66%
Step-by-step explanation:
If you deposit $7000 with an interest of 3.6%, after 1 year using continuous compounding, you will have
After 5 years you will have
After 20 years
To find the APY for the account, we have to compute the interest earned in one year.
We can do it by cross multiplying or by finding a number x such that
Operating on this equation we obtain
x = 0.0366 or 3.66%
Answer:
Reflection through y=x
Inverses
Step-by-step explanation:
Let's look at the graphs.
I'm going to point out some interesting things about the graphs.
You will see that (a,b) is a point on f while (b,a) is a point on g.
I'm using that while
.
You should see on the graph that:
while
See that (1,5) is on f while (5,1) is on g.
Let's look at another point:
while
See that (0,1) is on f while (1,0) is on g.
This relationship that they have is that they are inverses.
In general, the inverse of is
and also vice versa.
Also visually, inverses when graphed will appear to be reflections through the y=x line.
Answer:
31 = 2⁵ -1
31 = 16²- 15²
Step-by-step explanation:
As we know that
2¹=2
2²= 4
2³= 8
2⁴= 16
2⁵=32
So
32 = 2⁵
By subtracting 1 in bot sides
32-1 = 2⁵ -1
31 = 2⁵ -1
So
2⁵ -1 = 31
By comparing with
p= 5
As we know that
15²= 225
16² = 256
16²- 15² = 256-225 = 31
16²- 15² = (16+15)(16-15)
31 = (16+15)(16-15)