<span>a · b = |a| |b| cos(theta)
=|a| * 14 * cos(45)
</span>a · b |a| =3
=>
|a| * 14 * cos(45) * |a| =3
|a| ² =3/(14cos(45))
|a| = sqrt(3/(14cos(45)))
=0.63868 (approx.)
Answer: 8.25
Explanation: You are looking to find something constant or something that stays the same. Something that does stay the same is how much money she earned each hour. So you would do 453.75/55. And then find k, or the constant of proportionality. Which is $8.25. You’re welcome!
Answer:
a) amount in the bank after 7 years if interest is compounded quarterly is $6,605
b) amount in the bank after 7 years if interest is compounded quarterly is $6,612.57
Step-by-step explanation:
We are given:
Principal Amount P= 5000
Rate r= 4% = 0.04
time t = 7 years
The formula used is: 
where A is future value, P is principal amount, r is rate, n is compounded value and t is time
a) Find the amount in the bank after 7 years if interest is compounded quarterly?
If interest is compounded quarterly then n = 4
Using values given in question and finding A

So, amount in the bank after 7 years if interest is compounded quarterly is $6,605
b) Find the amount in the bank after 7 years if interest is compounded monthly?
If interest is compounded quarterly then n = 12
Using values given in question and finding A

So, amount in the bank after 7 years if interest is compounded quarterly is $6,612.57
Answer:
D: Corresponding angles
Step-by-step explanation:
Brainliest plz