Two regular hexagons have sides in the ratio 3:5. The area of the smaller hexagon is 81 m2. What is the area of the larger hexag
1 answer:
You might be interested in
Answer:
m∠z = 106°
Step-by-step explanation:
From the figure attached,
By exterior angle theorem,
m∠z = a + 68°
By linear pair theorem,
m∠a + 142° = 180°
m∠a = 180° - 142°
= 38°
Therefore, m∠z = 38° + 68°
= 106°
Answer:
$2159.07
Step-by-step explanation:
The compound interest formula is used to find the balance for the $1000 investment:
A = P(1 +r/n)^(nt)
A = 1000(1 +.012/12)^(12·10) = 1000·1.001^120 ≈ 1127.43
__
For a 2% loss, the multiplier of the investment value is 1-.02 = 0.98. The value of the first $500 investment is ...
A = 500(1 -.02) = 490.00
__
The continuous compounding formula is used for the second $500 investment.
A = Pe^(rt)
A = 500e^(.008·10) = 500e^.08 = 541.64
__
The total value of Albert's investments is ...
$1127.43 +490 +541.64 = $2159.07
Answer:
4
Step-by-step explanation:
=
= 4