Answer:
$150
Step-by-step explanation:
Simple interest for any principal amount p , rate of interest r and time t is given by
Simple interest = (p*r*t)/100
_________________________________
Given
p =$500
r = 3%
t = 10 years
Therefore SI = $500*3*10/100 = $150.
$150 is earned in 10 years at 3% simple interest on $500.
Step-by-step explanation:
Given sequence is: - 3, 5, 13...
Here first term a = - 3
common difference d= 5-(-3)=13-5=8
Hence, it is in A. P.
Nth term of an AP is given as:
![t_n = a + (n - 1)d \\ \\ \therefore \: t_n = - 3 + (n - 1) \times 8 \\ \\ \therefore \: t_n = - 3 + 8n - 8 \\ \\ \huge \red{ \boxed{\therefore \: t_n = 8n - 11}}](https://tex.z-dn.net/?f=t_n%20%3D%20a%20%2B%20%28n%20-%201%29d%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20t_n%20%3D%20%20-%203%20%2B%20%28n%20-%201%29%20%5Ctimes%208%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A%20t_n%20%3D%20%20-%203%20%2B%208n%20-%20%208%20%20%5C%5C%20%20%5C%5C%20%20%5Chuge%20%5Cred%7B%20%5Cboxed%7B%5Ctherefore%20%5C%3A%20t_n%20%3D%20%208n%20-%20%2011%7D%7D)
Which is the required formula for the given sequence.
144 inches because if you multiply 12 feet by 12 inches (12 inches is equal to one foot) it gives you 144 inches.
Answer:
Step-by-step explanation:
Mean = (87 + 105 + 130 + 160 + 180 + 195 + 135 + 145 + 213 + 105 + 145 + 151 152 + 136 + 87 + 99 + 92 + 119 + 129)/19 = 129
Variance = (summation(x - mean)²/n
Standard deviation = √(summation(x - mean)²/n
n = 19
Variance = [(87 - 129)^2 + (105 - 129)^2 + (130 - 129)^2+ (160 - 129)^2 + (180 - 129)^2 + (195 - 129)^2 + (135 - 129)^2 + (145 - 129)^2 + (213 - 129)^2 + (105 - 129)^2 + (145 - 129)^2 + (151 - 129)^2 + (152 - 129)^2 + (136 - 129)^2 + (87 - 129)^2 + (99 - 129)^2 + (92 - 129)^2 + (119 - 129)^2 + (129 - 129)^2]/19 = 23634/19 1243.895 min
Standard deviation = √1243.895 = 35.269 min
60 minutes = 1 hour
Converting the variance to hours,
Each division would have been divided by 60². 60² can be factorized out
Variance = 23634/60² = 6.565 hours
Converting the standard deviation to hours, it becomes
√6.565 = 2.562 hours