Step-by-step explanation:
180-120 = 60 which is the 2nd angle in triangle.
60+50+x = 180
x = 70
Answer:
The distance of the park from the Gary's house is 125 miles.
Step-by-step explanation:
Speed of Gary = 50 miles/hour
Time taken by Gary to reach the park from his house = 2.5 hours
Now, we know that,
Distance travelled = speed × time
So, distance between park and Gary's house = speed × time
= 50 × 2.5
= 125 miles
So, the park is 125 miles away from the Gary's house.
The annual interest rate is 3.5%.
Solution:
Given Interest (I) = $26.25
Principal (P) = $500
Time (t) = 18 months
Rate of interest (r) = ?
Time must be in years to find the rate per annum.
1 year = 12 months
Divide the time by 12.
Time (t) =
years
Now, find the rate of interest using simple interest formula.
<u>Simple interest formula:</u>
![$I=\frac{Prt}{100}](https://tex.z-dn.net/?f=%24I%3D%5Cfrac%7BPrt%7D%7B100%7D)
![$26.25=\frac{500\times r\times \frac{3}{2} }{100}](https://tex.z-dn.net/?f=%2426.25%3D%5Cfrac%7B500%5Ctimes%20r%5Ctimes%20%5Cfrac%7B3%7D%7B2%7D%20%7D%7B100%7D)
![$26.25\times 100 =500\times r\times \frac{3}{2}](https://tex.z-dn.net/?f=%2426.25%5Ctimes%20100%20%3D500%5Ctimes%20r%5Ctimes%20%5Cfrac%7B3%7D%7B2%7D)
![$2625 =250\times r\times 3](https://tex.z-dn.net/?f=%242625%20%3D250%5Ctimes%20r%5Ctimes%203)
![$2625 =750\times r](https://tex.z-dn.net/?f=%242625%20%3D750%5Ctimes%20r)
![$\Rightarrow r=\frac{2625}{750}](https://tex.z-dn.net/?f=%24%5CRightarrow%20r%3D%5Cfrac%7B2625%7D%7B750%7D)
⇒ r = 3.5%
Hence the annual interest rate is 3.5%.
Answer:
B, False,
Step-by-step explanation: