Answer:
28 m
Step-by-step explanation:
The longer side can be found using the Law of Cosines. The semi-diagonals are of length 12 and 20 m, and the angle between them facing the long side is 180° -60° = 120°.
c^2 = a^2 +b^2 -2ab·cos(C)
c^2 = 12^2 +20^2 -2·12·20·cos(120°) = 144 +400 +240 = 784
c = √784 = 28
The longer side is 28 meters.
Rate of change is the slope.
The slope is the change in Y over the change in X:
Slope = (5- -3) / (2 - -2)
Slope = 8/4
Slope = 2
Answer: A.2
We can calculate it by PVOA table.
PVOA means present value of an ordinary annuity.
PMT = $350
PMT means recurring payment.
time = 5 years and interest rate is 4%
So n = 5 and i = 4%
So we can calculate PVOA as
PVOA = PMT times (PVOA factor for n = 5 and i = 4%)
(PVOA factor PVOA table)
So present value is $1558.2
B>a
b=8a-1
and we are told that 98=a+b so a=98-b, using this value for a in the equation above gives you:
b=8(98-b)-1
b=784-8b-1
b=783-8b
9b=783
b=87, and since a+b=98, a=11
so a and b are 11 and 87
276400(0.035) = $9674 the equivalent value in dollar for every increase in the house then multiplied by 25. $9674*(25) = $241850 + the current value of Alex's home. $276400+ $241850 = $518250 that would be the value of Alex's home in 25 years. The percentage is (518250-276400)/ 276400 =0.875 *100 = 87.5 % increase in value. I hope this would help.
