Answer:
80 degrees
Step-by-step explanation:
Vertical angles are congruent, meaning that if a vertical angle is 80 degrees, the other vertical angle is 80 degrees; they have the same angle measure.
m < 1 = 80 degrees
It's 5 over 9 because you start off with 10 cards (6 roses 4 daisies) then you pick a rose. Then it become's 5 over 9 since there are only 5 roses left and 9 total cards left.
Answer:
1) $30,821 ( loan balance after 3 months in )
2) 8.56%
Step-by-step explanation:
Final Amount of compound interest: A = P ( 1 + i ) ^ n
p = principal = $30,000
r = interest rate = 11.41% = 0.1141
n = number of years
1) Loan balance after 3 months
n = 3/12 = 0.25 years
A = 30,000 ( 1 + 0.1141 ) ^ 0.25
= $30,821 ( loan balance after 3 months in )
2) Loan Balance after 1 year
A = 30,000 ( 1 + 0.1141 ) ^ 1
= $33423
interest on loan = 33423 - 30,000 = $3423
percentage of $40,000 is $3423
= 3423 / 40,000 * 100
= 8.56%
Answer:
so first convert to fraction so
9 3/4 = 39/4
so it was spread among 3
so this is division so you do 39/4 divided by 3
so you keep switch flip
which is 39/4 *1/3
answer is 13/4
Answer:
0.5 m/s
Falling at 32 feet/s
Step-by-step explanation:
For the first question, since it only asks for the average time between 2 and 8 seconds, those are the only two important values. When taking the inputs and outputs for 2 and 8 seconds after the throw ((2,3) and (8,6) respectively), we can take the average change by finding the change in y/change in x, so we have (6-3)/(8-2)=0.5 meters/second.
For the second question, we can similarly just take the values from the initial drop (144) and after two seconds (80) to get that the rate of change is (144-80)/(-2)=-32, so it's falling at 32 feet/second.
Let me know if you have any questions!
