4000(1.05)⁴=$4862.03
6000(1+ .08/2)^35(2)=$93429.71
15450(.86)³=$9827.07
Answer:
Step-by-step explanation:
Using the definition of similar triangle, we have the equation for problem no. 14 as:
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Answer:
The coordinates of k are (-2,-1)
Step-by-step explanation:
Here, we are interested in calculating the coordinates of point k.
Mathematically, we will use the internal division formula for this;
This would be;
(x,y) =( nx1 + mx2)/(m + n), (ny1 + my2)/(m + n)
where m = 1 , n = 4
x1 = -2 , x2 = 8
y1 = -4 , y2 = 11
we now make the substitutions into the formula;
(x,y) = 4(-2) + 1(-2)/(1+4) , 4(-4) + 1(11)/(4 + 1)
(x,y) = (-8-2)/5 , (-16 + 11)/5
(x,y) = -10/5 , -5/5
(x,y) = (-2, -1)
1. a)CK²=CH²+HK², CH - radius
CH²=CK²-HK²=50²-30²=2500-900=1600 ft²
CH=40 ft -- radius
b) cos(KCH)= CH/CK=40/50=4/5
KCH=arccos(4/5)≈36.87°
2)C=2πr≈2*3.14*40=251.2 ft
C=2*40π=80π ft --- exact
3) A =πr²=40²π=1600π ----exact
A≈1600*3.14=5024 ft
Answer:
11.3
Step-by-step explanation:
