The amortization formula can be used to figure this.
... A = P(r/n)/(1 -(1 +r/n)^(-nt))
where A is the monthly payment, P is the amount borrowed, r is the annual interest rate, n is the number of times per year interest is compounded, and t is the number of years.
Fill in the given information, and solve for P (in either order).
... 821.69 = P(.065/12)/(1 - (1 +.065/12)^(-12*30)) ≈ 0.00632068023P
... P ≈ 130,000.25 . . . . . divide by the coefficient of P
Rounded to the nearest dollar, you borrowed $130,000.
Answer:
Option A. 95x + 133y square feet.
Step-by-step explanation:
Area of a rectangular room = Length × Width
Length of the room = Length of carpeted portion + Length of the tiled portion
= (5x + 7y) feet
Width of the living room = 19 feet
Area of the living room = (5x + 7y) × 19
= 95x + 133y Square feet [By distributive property]
Therefore, expression for the total area of the living room is option (A).
Answer:

Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
Answer:
1440
Step-by-step explanation:
We can solve this problem by applying the rule of three.
In fact, we know that:
- Over a package of 210 candies,
- The number of brown candies is 63
- Here we want to find what is the number of brown candies when the total number of candies contained in the package is 4800
So we can set up the following rule of three:

where
x = number of brown candies when the total number of candies contained in the package is 4800
Solving the expression for x, we find:

So, Sarah can expect to find 1440 brown candies in a package of 4800 pieces.