-4 1/5 is greater than -4 9/10
Answer:
option (A) 62 miles
Step-by-step explanation:
Data provided in the question:
Ratio on the left = 434 miles : 14 gallons
ratio on the right = ?? : 2 gallons
Now,
The ratio on the both sides are equal
let the unknown value in the ratio be 'x'
Now, the ratio a : b can also be represented as 
therefore,
434 miles : 14 gallons = x : 2 gallons
or
⇒
=
or
⇒ x =
or
⇒ x = 62 miles
Hence,
the correct answer is option (A) 62 miles
Answer:


Step-by-step explanation:
Given



Required
Find P(A) and P(B)
We have that:
--- (1)
and
--- (2)
The equations become:
--- (1)

Collect like terms


Make P(A) the subject

--- (2)


Substitute: 
![[0.770 - P(B)] * P(B) = 0.144](https://tex.z-dn.net/?f=%5B0.770%20-%20P%28B%29%5D%20%2A%20P%28B%29%20%3D%200.144)
Open bracket

Represent P(B) with x

Rewrite as:

Expand

Factorize:
![x[x - 0.45] - 0.32[x - 0.45]= 0](https://tex.z-dn.net/?f=x%5Bx%20-%200.45%5D%20-%200.32%5Bx%20-%200.45%5D%3D%200)
Factor out x - 0.45
![[x - 0.32][x - 0.45]= 0](https://tex.z-dn.net/?f=%5Bx%20-%200.32%5D%5Bx%20-%200.45%5D%3D%200)
Split

Solve for x

Recall that:

So, we have:

Recall that:

So, we have:


Since:

Then:


False. The value of theta is the angle measured counterclockwise that the vector makes with respect to the positive x-axis.
Answer:
P = 300
r = 0.15
n = 12
A(t) = 300(1.0125)^12t
Step-by-step explanation:
Given that:
Total credit taken for book purchase = $300
Annual Interest rate = 15% compounded monthly
Time or period = 4 years
P(1 + r/n)^nt
P in the expression above means the principal amount which is the total credit spent on book purchase = $300
r = annual interest rate on Emma's account = 15% = 15/100 = 0.15
n = number of compounding times per period ; loan which compounds monthly = number of months in a year = 12
Hence,
P = $300 ; r = 0.15 ; n = 12
Substituting into the equation :
P(1 + r/n)^nt
Simplified expression written in terms of t:
Final amount, A after t years
A(t) = 300(1 + 0.15/12)^12t
A(t) = 300(1 + 0.0125)^12t
A(t) = 300(1.0125)^12t