Answer:
tan A = <u>opp</u>
adj
tan G = <u>EF</u>
3
from Pythagoras theorem,
EF² + 3² = (√24)²
EF² + 9 = 24
EF² = 15
EF = √15
then,
tan G = <u>√</u><u>1</u><u>5</u>
3
therefore tan G = √15/3
Given:
Total amount invested = $9,000
interest rates = 4% and 6%
Let x be the part of 9,000.
Note that annual return on each investment is the same.
0.04x = 0.06(9,000 - x)
0.04x = 540 - 0.06x
0.04x + 0.06x = 540
0.10x = 540
x = 540/0.10
x = 5,400
0.04x = 0.06(9,000 - x)
0.04(5,400) = 0.06(9,000 - 5,400)
216 = 0.06(3,600)
216 = 216
total interest for the year : 216 + 216 = 432
Interest = pricipal * interest rate * term
432 = 9,000 * interest rate * 1 yr
432/9,000 = interest rate
0.048 = interest rate
Interest rate would be 4.8% to get the same interest from the whole 9,000.
Hi there!
Since the sum of all angles in any triangle always adds up to 180 degrees, we can calculate this and solve for x.
4x + x + x = 180°
6x = 180
180 ÷ 6 = x
x = 30
So, now we know that x is 30°.
Hope this helps!
Answer:
1/2x-8
Step-by-step explanation:
Rise over run for slope
Plug in values for y intercept