That angle would be 35 degrees.
Complementary angles equal 90 degrees. So you can create an equation with x as the angle and its complement being x + 20. Set that equal to 90 and solve.
Answer:
Percent of decrease in the value is 40%.
Step-by-step explanation:
Let's find the value of y when t=1 and t=2 because need to find the decrease by percent of t increases by 1 unit.
When t=1
y=
=0.6
When t=2
y=
=0.36
Percent of decrease = 100 % -
% = 100% -60% =40%
Answer:
Option D: 3x2 + 2x - 1
Step-by-step explanation:
Given that:
=(5x2 - 5x + 3
)- (2x2 +7x- 4)
As we have to subtract them so by simplifying:
"-" sign will alter all signs in the bracket
= 5x2 - 5x + 3 - 2x2 + 7x - 4
Now by adding same terms
= 5x2 - 2x2 - 5x + 7x + 3 -4
= 3x2 + 2x - 1
i hope it will help you!
Answer:
Amount on 11% note = $106,666.67
Amount on 8% note = $43,333.33
Step-by-step explanation:
Let the amount for the short-term note at 11% interest be x.
Thus, the amount for the short-term note at 8% interest will be (150000 - x)
Now we are told that the total interest paid is $15,200.
Thus;
0.11x + 0.08(150000 - x) = 15200
0.11x + 12000 - 0.08x = 15200
Rearranging gives;
0.03x = 15200 - 12000
0.03x = 3200
x = 3200/0.03
x = $106666.67
Thus, amount for 8% note = $150000 - $106666.67 = $43,333.33
