9514 1404 393
Answer:
4.75%
Step-by-step explanation:
When simple interest is charged, the payback amount is ...
A = P(1 +rt) . . . . for annual rate r and a term of t years
Using the given values, we can solve for r.
10280 = 8000(1 +6r)
1.285 = 1 +6r . . . . . . . . divide by 8000
0.285 = 6r . . . . . . . . . . subtract 1
0.285/6 = r = 0.0475 = 4.75% . . . . . . divide by 6; express as %
Theo paid interest at the rate of 4.75%.
Answer:
Percentage change=140%
Step-by-step explanation:
The expression for the percentage change is as follows;
C={(F-I)/I}×100
where;
F=final quantity
I=initial quantity
C=percentage change
In our case;
C=unknown
F=24 gallons
I=10 gallons
replacing;
percentage change={(24-10)/10}×100
percentage change=(14/10)×100
percentage change=140%
We know that
sec²θ=tan²θ+1-------> tan²θ=> sec²θ-1
sec θ = (√37)/6
tan²θ=> [(√37)/6]²-1--------> (37/36)-1-------> 1/36
tanθ=√(1/36)--------> 1/6
remember that
sec θ = 1/ cos θ
the cos θ is > 0
and
the sin θ < 0
so the angle θ belong to the fourth quadrant-------> tan θ is negative
therefore
the answer is
tan θ=-1/6
<em>Answer:</em>
<em></em><em></em>
<em>This " / " means or, btw!</em>
<em>Step-by-step explanation:</em>
<em></em><em></em>
<em>⇒Take square root.</em>
<em></em><em> ± </em><em></em>
<em></em><em> or </em><em></em>
<em>Hope this helped you!</em>