9514 1404 393
Answer:
12.1204%
Step-by-step explanation:
The nominal annual rate is 4 times the effective quarterly rate:
(1 +0.12/12)^3 = 1.030301
so the effective quarterly rate is 3.0301%.
The equivalent annual rate compounded quarterly is 12.1204%.
Answer:
2c + 3l ≤ 60
No
Step-by-step explanation:
Let's say you buy c yards of cotton lace and l yards of linen lace. The cotton lace will cost $2 per yard, and for c yards, you have to pay $2 c times, coming to a total of 2*c for the cotton lace. For the linen lace, you'd have to pay 3*l for l yards. The total amount of lace is thus equal to cotton lace cost + linen lace cost = 2c + 3l.
Total amount needs to be less than or equal to 60 (at most 60), so total amount = 2c + 3l ≤ 60
We can then plug our values of cotton and linen lace into our equation
12 yards of cotton lace, 15 yards of linen lace
2c + 3l ≤ 60
2(12) + 3(15) ≤ 60
24 + 45 ≤ 60
69 ≤ 60
This is false, so you cannot buy these amounts of lace.
Answer: 3 1 0
Step-by-step explanation:
Answer:
5 degrees
Step-by-step explanation:
Answer:

Step-by-step explanation:
The midpoint is essentially a point with the average of the 2 x-coordinates and the 2 y-coordinates.
The formula is:

We are given two points: A (7,0) and B (0, 3). Remember points are written as (x, y).
Therefore,

Substitute the values into the formula.

Solve the numerators first.

The midpoint can be left like this because the fractions are reduced, but it can be written as decimals too.
