For compounding interests, we use the equation F = P (1+i)^n where F is the future amount of the principal amount, P, in n years. Take note that the interest to be used should be the effective interest rate. In this case, it is already the effective interest rate.
F = P (1+i)^n
F = $4000 (1+.055)^4
F = $4955.2986
Answer:
∠Q ≈ 42.969, ∠P ≈ 52.03, QR ≈ 15.036
Step-by-step explanation:
Law of sines:
13/sin Q = 19/sin 85°
=> sin Q = 13 × sin 85°/19
=> Q = sin^-1 (13 × sin 85°/19)
=> Q ≈ 42.969
∠P=> 180 - 85 - 42.969 ≈ 52.03
QR/sin 52.03° = 19/sin 85°
=> QR = sin 52.03° × 19/sin 85°
=> QR ≈ 15.036
Answer: A
Step-by-step explanation:
The contrapositive of a statement is logically equivalent to the original statement.
The laundry one is C
The ladder one is B.
Answer:
<em>The man paid $200 for the cow</em>
Step-by-step explanation:
<u>System of Equations</u>
Let's call:
x = price of the cow
y = price of the horse
The man bought the cow and the horse for $500, thus
x + y = 500 [1]
The cow was sold at a profit of 10%, thus:
Sale price of the cow= 1.1x
The horse was sold at a loss of 10%, thus:
Sale price of the horse= 0.9y
The total operation was a 2% loss, i.e. 0.98*500=490. Thus, we have:
1.1x + 0.9y = 490 [2]
From [1]:
y = 500 - x
Substituting in [2]:
1.1x + 0.9(500 - x) = 490
Operating:
1.1x + 450 - 0.9x = 490
0.2x = 490 - 450 = 40
x = 40/0.2
x = 200
The man paid $200 for the cow
