Answer:
+
i
Step-by-step explanation:
Using the exact value
cos60° = and sin60° =
, then
3(cos60° + isin60°)
= 3( +
i) ← distribute by 3
= +
i ← in the form a + bi
A number that when multiplied equals 576 but when added equals 48
2 answers:
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Answer: $ 125987.80
Step-by-step explanation:
Given: The value, V(t) of $393,000 worth of assets after t years, that depreciate at 15% per year, is given by the formula
, here
is the initial asset value and b is the multiplicative decay factor.
The exponential decay function is given by ;-
, where A is the initial value , x is the times period and b is the multiplicative decay factor.
where b = 1-r, r is the rate of decay.
Since r = 15%=0.15
Therefore, b = 1-0.15=0.85
Now ,for 7 years , the value of assets is given by :-
Hence, the assets valued at after 7 years = $ 125987.80
One way would be to find the distance from the point to the center of the circle and compare it to the radius
for
the center is (h,k) and the radius is r
and the distance formula is
distance between
and 
is
r=radius
D=distance form (8,4) to center
if r>D, then (8,4) is inside the circle
if r=D, then (8,4) is on the circle
if r<D, then (8,4) is outside the circle
so
the radius is
center is (-2,3)
find distance between (8,4) and (-2,3)
≈4.2
≈10.04
do r<D
(8,4) is outside the circle
for
the center is (h,k) and the radius is r
and the distance formula is
distance between
r=radius
D=distance form (8,4) to center
if r>D, then (8,4) is inside the circle
if r=D, then (8,4) is on the circle
if r<D, then (8,4) is outside the circle
so
the radius is
center is (-2,3)
find distance between (8,4) and (-2,3)
do r<D
(8,4) is outside the circle