Answer:
Step-by-step explanation:
Property of a right triangle,
(Hypotenuse)² = (leg 1)² + (leg 2)²
If the length of sides of the given triangle are 7mm, 14mm and 15mm.
(15)² = (7)² + (14)²
225 = 49 + 196
225 = 245
False
Therefore, the given triangle is not a right triangle.
Numbers that are close in value to the actual numbers.
Use compound interest formula F=P(1+i)^n twice, one for each deposit and sum the two results.
For the P=$40,000 deposit,
i=10%/2=5% (semi-annual)
number of periods (6 months), n = 6*2 = 12
Future value (at end of year 6),
F = P(1+i)^n = 40,000(1+0.05)^12 = $71834.253
For the P=20000, deposited at the START of the fourth year, which is the same as the end of the third year.
i=5% (semi-annual
n=2*(6-3), n = 6
Future value (at end of year 6)
F=P(1+i)^n = 20000(1+0.05)^6 = 26801.913
Total amount after 6 years
= 71834.253 + 26801.913
=98636.17 (to the nearest cent.)
Out of the four choices, it would be A
Since the common difference is 6, we can assume that the sequence is arithmetic, with rule
T(n)=6n+5 where T(1)=11
T(9)=6(9)+5=59
