Answer:
Step by step below
Step-by-step explanation:
0 000 007
0 004 007
0 204 007
0 204 047
0 204 647
0 224 647
<u>4 224 647 </u>
Answer:
x = 11
∠B = 80°
Step-by-step explanation:
∠A =∠B because they are corresponding angles
8x - 8 = 5x + 25
3x = 33
divide both sides of the equation by 3:
x = 11
∠B = 5(11) + 25 = 80°
Answer:
Interest rate = 2.41%
Step-by-step explanation:
The total value of an investment was $305.33 after $240 was invested for 10 years compounded monthly. Find the interest rate.
The formula to calculate the Interest rate for a Compound Interest is given as:
Solving for rate r as a decimal
r = n[(A/P)^1/nt - 1]
r = 12 × [(305.33/240.00)^1/(12)(10) - 1]
r = 0.0240996
Then convert r to R as a percentage
R = r * 100
R = 0.0240996 * 100
R = 2.41%/year
Therefore, the Interest rate = 2.41%
Answer:
v= 6km/h - 1km/h^2 * t
Step-by-step explanation:
From the information, it seems the runner is slowing down because the speed at 1st hour is 5km/h but at 3rd hour becomes 3km/h.
If v= velocity, v0= initial speed, t= time, and the a=acceleration then the function would be:
v= v0 + a * t
To find the acceleration you need to do this equation:
acceleration= velocity1- velocity3 / t3-t1
a = (3km/h-5km/h)/ (3 hour- 1 hour)
a = (-2km/h)/2hour= -1 km/hour^2
After that, you need to find the initial speed. Try to put the 1st-hour variable into the full equation. It would look like this
v= v0 + a * t
5km/h= v0 + (-1 km/hour^2 * 1 hour)
v0= 5km/h + 1km/h
v0= 6km/h
Then the full function would be:
v= 6km/h - 1km/h^2 * t
The graph would look like a backslash(\) from 5 gradually go down to 1.
6
5 O
4 O
3 O
2 O
1 O
1 2 3 4 5
Answer:
frequency
Step-by-step explanation:
Planck showed that the energy that is emitted or absorbed by an object is proportional to the _<u> </u><u>frequency</u><u>__</u>__ of the radiation.
