Answer:
It'll take 7.5967 years to have $300 on that account.
Step-by-step explanation:
This problem involves a compounded interest compounded continuously, so in order to solve it we must use the formula for those cases as shown below:
M = C*e^(i*t)
Where M is the final value, C is the initial capital, i is the interest rate and t is the total time. We have:
300 = 250*e^(0.024*t)
e^(0.024*t) = 300/250
e^(0.024*t) = 1.2
0.024*t = ln(1.2)
t = ln(1.2)/0.024 = 7.5967
It'll take 7.5967 years to have $300 on that account.
Answer:
°
Step-by-step explanation:
For the upper left angle, we know that they are supplementary, so we can find the first angle of the triangle by

For the bottom right angle, we know that they are supplementary, so we can find that angle by

As a triangle has 180 degrees, we can subtract the values of the other two angles to find the final upper right angle.

Lastly, The upper right angle and x are supplementary so we can find x by subtracting the angle from 180

Answer:
Step-by-step explanation: start at -39 degrees. You need to find how many degrees is between -39 and 10 degrees.
+39+10= 49 degrees risen
Its simple (n-12) because n is the variable and since it says fewer, then that means less than, which is subtracted by the number given which would be 12. Hope this helps! XD
Answer:
see explanation
Step-by-step explanation:
(a)
Given y is directly proportional to x then the equation relating them is
y = kx ← k is the constant of proportion
To find k use the condition when x = 3, y = 18 , then
18 = 3k ( divide both sides by 3 )
6 = k
y = 6x ← equation of proportion
(b)
(i)
when x = 12 , then
y = 6 × 12 = 72
(ii)
when y = 42
42 = 6x ( divide both sides by 6 )
7 = x