Answer:
1st q answer is f(x) is one- to -one function and 2nd q answer is 2
If the interest is the same for both accounts then:
.03x=.05(16000-x)
.03x=800-.05x
.08x=800
x=10000, since the interest is the same for both we can just double the interest from one investment to find the total interest earned each year...
.03(10000)2=$600.00
x=Money after withdrawals.
x=450-200(3)
x=450-600
x=-250
After making 3 $200 withdrawals from his account after initially starting with $450 he has a balance of negative $250 in his account.
The expression - x - 9x^2 + 12x^2 + 7 has 4 terms:
-x, -9x^2, 12x^2, 7
Like terms are:
-9x^2, 12x^2
we are given that
angle(ACF)=90
angle(ACB)=61
sum of all angles along any line is 180
so, we get
angle(ACF)+angle(ACD)=180
we can plug value
90+angle(ACD)=180
angle(ACD)=90
now, we can use formula
angle(ACD)=angle(ACB)+angle(BCD)
now, we can plug values
and we get
90=61+angle(BCD)
90-61=61-61+angle(BCD)
angle(BCD)=29................Answer