Answer:
Ali's salary is $50000.
Step-by-step explanation:
Let Jafar's salary be x.
(31/100)*x = 12400
x = (12400*100)/31
x = 400*100
x = $40000
Let Ali's salary be y.
y-[(20/100)*y] = 40000
y-(y/5) = 40000
(5y-y)/5 = 40000
4y = 200000
y = $50000
Answer:
160 meters
Step-by-step explanation:
Let call dj distance run by Jess and dw distance run by Wes
By Jess courtesy Wes will be 60 meters ahead of Jess
Let call t the time in which both runners are at the same point, which in fact is when both distances are equal
dj = 8 m/sec * t and dw = 60 + 5 m/sec * t
Then we make dj = dw
8*t = 60 + 5*t
3*t = 60
t = 20 sec
Now passed 20 sec dj = 8 * 20 = 160 m
and dw = 60 + 5*20 dw = 160 m
Answer:
The <em>p-</em>value of the test is 0.106.
The null hypothesis will be accepted at 5% level of significance.
Step-by-step explanation:
The hypothesis test is left-tailed.
The test statistic value is: <em>z</em> = -1.25.
The significance level of the test is: <em>α</em> = 0.05.
The <em>p</em>-value of a left-tailed hypothesis test is:
The <em>p-</em>value of the test is 0.106.
**Use the <em>z-</em>table for the probability.
<u>Decision rule:</u>
If the <em>p</em>-value is less than the significance level the null hypothesis will be rejected and if it is more than the significance level the null hypothesis will be accepted.
The <em>p</em>-value = 0.106 > <em>α</em> = 0.05.
The null hypothesis will be accepted at 5% level of significance.
Hey there!
Consider the exponential growth equation:
, where:
P = initial amount
r = interest rate (as a decimal, divide a percentage by 100 to get its decimal form)
t = years
All you need to do is plug in your given numbers:
P = 120
r = 0.10
t = x
Your final equation will be:
Hope this helped you out! :-)
4/3 = 20/x
cross multiply
4x = 60
x = 60/4
x = 15 clown fish