Answer:
n= 13.8 years
Step-by-step explanation:
<u>First, we need to determine the daily interest rate:</u>
Daily interest rate= 0.03 / 365
Daily interest rate= 0.000082
<u>Now, using the following formula we can determine the number of days and years:</u>
n= ln(FV/PV) / ln(1+i)
n= ln(13,000 / 8,600) / ln(1.000082)
n= 5,039 days
<u>In years:</u>
n= 5,039/365
n= 13.8 years
Answer:
105
Step-by-step explanation:
Theorem:
If parallel lines are cut by a transversal, then same-side interior angles are supplementary.
Lines AB and CD are parallel, and angles 3 and 6 are same-side interior angles, so by the theorem above, angles 3 and 6 are supplementary. That means that the sum of their measures is 180 deg.
m<3 + m<6 = 180
m<3 + 75 = 180
Subtract 75 from both sides.
m<3 = 105
Answer: 105 degrees
Answer:
Speed of vehicle = 500 km/hour
Step-by-step explanation:
Given that:
Distance travel by vehicle = 6,500 km
Time taken by vehicle = 13 hour
Find:
Speed of vehicle in kilometer per hour
Computation:
Speed = Distance / Time
Speed of vehicle = Distance travel by vehicle / Time taken by vehicle
Speed of vehicle = 6,500 / 13
Speed of vehicle = 500 kilometer per hour
Answer:
9375
Step-by-step explanation:
Answer:
The length of the hypotenuse is 4.1 in
Step-by-step explanation:
By definition, the sine of an angle is:

In this case they tell us that the opposite side measures 4 inches and the angle x measures 80 °.
With this information we can find the length of the hypotenuse h

Finally the length of the hypotenuse is 4.1 in