Answer:
No, equivalent quarterly rate will be approx 1.75%
Step-by-step explanation:
Given that Chan deposited money into his retirement account that is compounded annually at an interest rate of 7%.
We know that there are 4 quarters in 1 year.
So to find that equivalent quarterly we will divide given yearly rate by number of quarters.
That means divide 7% by 4.
which gives 1.75%.
But that is different than Chan's though of 2% quarterly interest.
Hence Chan is wrong.
It would be (3,0) and (0,3) respectively.
Well let's convert 2/3 to fraction of 6ths, by multiplying top and bottom by 2
If ΔGJI and ΔPKH are similar, then ∡G≅∡P, ∡J≅∡K and ∡I≅∡H.
We have m∡G + m∡P = 50°, therefore m∡G = m∡P = 50° : 2 = 25°.
m∡I = 48° therefore m∡H = 48°.
We know, the sum of the measures of the angles of a triangle is equal 180°.
Therefore we have the equation:
m∡G + m∡J + m∡I = 180°
25° + m∡J + 48° =180°
73° + m∡J = 180° <em>subtract 73° from both sides</em>
m∡J = 107° → m∡K = 107°.
<h3>Answer: ΔGJI and ΔPKH: 25°, 107°, 48°</h3>
Answer:
29/6
Step-by-step explanation:
The expression that we have to evaluate in this problem is
for 
.
First of all, we re-arrange the expression. We know that:
- The product of a positive number (+) and a negative number (-) is negative (-)
- The product of a negative number (-) and a negative number (-) is positive (+)
So we can rewrite the expression as
Also, we can combine the two numerical terms:
Therefore the expression becomes
Now we can substitute , and we find:
