Answer:
2 2/5
Step-by-step explanation:
change -1 3/5 to an improper fraction
-1 3/5 = -(5*1+3)/5 = -8/5
-1 3/5 ÷ -2/3 =
-8/5 ÷-2/3
copy dot flip
-8/5 * -3/2
24/10
divide top and bottom by 2
12/5
change back to a mixed number
5 goes into 12 2 times (5*2=10) with 2 left over
2 2/5
Answer:
a. $10,943.30
b. $1,267.35
Step-by-step explanation:
P = $9,675.95
r = 6.25% = 0.0625
t = Compounded Semiannually = 2
a. Amount after 2 Years
n = 2
A = P [1 + (r / n)]^nt
A = $9,675.95 [1 + (0.0625 / 2)]² ˣ ²
A = $9,675.95 [1 + 0.03125]⁴
A = $9,675.95 [1.03125]⁴
A = $9,675.95 x 1.130982
A = $10,943.30
b. Compound Interest
Compound Interest = Final Amount - Principal Amount
Compound Interest = $10,943.30 - $9,675.95
Compound Interest = $1,267.35
Answer:
A. 76
Step-by-step explanation:
Angle A is half the difference between the measures of arc DE and BC.
m∠A = (1/2)(DE -BC)
20 = (1/2)(116 -BC) . . . . substitute the given values
40 = 116 -BC . . . . . . . . multiply by 2
BC = 116 -40 . . . . . . . . add BC -40
BC = 76
_____
<em>Comment on intersecting secants</em>
When the secants intersect <em>inside</em> the circle, the angle where they cross is half the <em>sum</em> of the intercepted arcs. When they intersect <em>outside</em> the circle (as here), the angle where they meet is half the <em>difference</em> of the intercepted acs.
Sometimes it is easier to remember two related relationships than it is to remember just one of them.
There are some grammar mistakes and therefore I can't read it properly to answer