This problem is mainly concerned with setting up an equation.
let's add the interest rates times their respective investment amounts:



simplify:

sum of interest:

1780 = (9000+x) 0.10 + x 0.06 + (11000-2x)0.08


solution:
He does not have any invested in the 6%, while he has 9000 invested at 10% and 11,000 invested at 8%
to check:


So this ended up being a trick problem because he does not actually have any invested in the 6% option.
Slope formula : (y2 - y1) / (x2 - x1)
(2,4)...x1 = 2 and y1 = 4
(5,10)...x2 = 5 and y2 = 10
now we sub and solve
slope = (10 - 4) / (5 - 2) = 6/3 = 2
The slope of the line is 2....and this is basically saying that Jan runs 2 laps every minute
I’m not sure if this is what you meant
Answer:
C
Step-by-step explanation:
C is the answer hope you mark me brainlyist
The given triangle is a right-angled triangle. This means that special trig identities can be applies
<u>These identities are as follows:</u>
sin (theta) = opposite / hypotenuse
cos (theta) = adjacent / hypotenuse
tan (theta) = opposite / adjacent
<u>Now, for the unknown theta in the triangle:</u>
The opposite side is 16 and the hypotenuse is 20
This means that we will use the <u>sin</u> not the cos as Bob did
<u>The solution will be as follows:</u>
sin (theta) = opposite / hypotenuse
sin (theta) = 16 / 20
theta = sin^-1(16/20)
theta = 53.13°
Hope this helps :)