Answer:
see image...
the (x-h) shifts the curve left right (east west)
and the +k at the end shifts it up/down (north/south)
Step-by-step explanation:
Answer:
His money earned $36 after 3 months
Step-by-step explanation:
* Lets revise the rules of simple interest
- Simple Interest Equation (Principal + Interest)
A = P(1 + rt)
- Where:
• A = Total amount (principal + interest) future amount
• P = Principal Amount
• I = Interest Amount
• r = Rate of Interest per year in decimal; r = R/100
• t = Time Period involved
* To calculate the interest I use the formula
I = P × r × t
* Lets solve the problem
- The rate is annual
- The interest calculated after 3 months
∴ I = P × R/100 × t/12
∵ P = $3600.00
∵ R = 4%
∵ t = 3 month
∴ I = 3600.00 × 4/100 × 3/12 = $36
* His money earned $36 after 3 months
Answer:

Step-by-step explanation:
To find the 5th term in the expansion, we first will need to apply the binomial theorem. I have attached an image of the binomial theorem formula due to not being able to type it.
After applying the binomial theorem and simplifying, you should get:

Our 5th term here is:
which is equal to 
~Hope this helps! Sorry if my answer is confusing at all, it's pretty difficult to explain.~
Answer:
2011
Step-by-step explanation:
Here is the formula.

A = Final Value
P = Starting Value
R = Rate
N = Time in Years
A = 8,000,000,000
P = 5,400,000,000
R = 0.0195
N = Time in Years
Solve for n.
20.35 Years from 1990; so sometime in 2011 the population would be 8 billion.
Answer:
a = 7, b = 
Step-by-step explanation:
Using the sine ratio in the left right triangle and the exact value
sin45° =
, then
sin45° =
=
=
( cross- multiply )
a ×
= 7
( divide both sides by
)
a = 7
--------------------------------------------------------
Using the tangent ratio in the right triangle on the right and the exact value
tan60° =
, then
tan60° =
=
=
=
( multiply both sides by b )
b ×
= 7 ( divide both sides by
)
b =
×
= 