Answer:
12% chance of winning because it's out of 100 tickets
Step-by-step explanation:
Answer:
$12000 at 5%
$27000 at 6.5%.
Step-by-step explanation:
Let x represent amount invested at 5% and y represent amount invested at 6.5%.
We have been given that a combined total of 39000 is invested in two bonds. We can represent this information in an equation as:

We are also told that the annual interest rate is 2355.00. We can represent this information in an equation as:

Upon substituting equation (1) in equation (2), we will get:







Therefore, an amount of $12,000 is invested at 5%.
Upon substituting
in equation (1), we will get:



Therefore, an amount of $27,000 is invested at 6.5%.
Answer:
see below
Step-by-step explanation:
m/n = 1/7
Using cross products
7m = n
This is a direct proportion
1
-----------
5m -20
factor out a 5 in the denominator
1
-----------
5 (m -4)
Choice A
1 + tan ² Ф=sec²Ф
1+(12/5)²=sec²Ф
169/25=sec² Ф
sec Ф=⁺₋√(169/25)=⁺₋13/5
sec Ф=1/cos Ф ⇒cosФ=1/sec Ф
cos Ф>0 ⇔ sec Ф>0 ⇔ sec Ф=+ 13/5
cos Ф=1/secФ
cos Ф=1 / 13/5=5/13
we can calculate the sin Ф, with this method.
sin²Ф + cos²Ф=1 ⇒ sin Ф=⁺₋√(1-cos² Ф)
sin Ф=⁺₋√[1-(5/13)²]=⁺₋12/13
like cos Ф>0 and tan Ф>0 ⇒ sin Ф>0 ⇒sin Ф=12/13
answer: d.12/13
other method
tan Ф=sin Ф / cos Ф
12/5=sin Ф / 5/13
sin Ф=(12/5)*(5/13)=12/13
answer: d.12/13