Answer:

Step-by-step explanation:
Given:

Required:
f(g(x))=?
Solution:
let f(g(x))=f(X), where X=g(x)
so 
put X=
, we get


The functions are illustrations of composite functions.
<em>The soil temperature at 2:00pm is 67</em>
The given parameters are:
---- the function for sun intensity
-- the function for temperature
At 2:00pm, the value of h (number of hours) is:


Substitute 8 for h in
, to calculate the sun intensity



Substitute 8/9 for I in
, to calculate the temperature of the soil



Approximate

Hence, the soil temperature at 2:00pm is 67
Read more about composite functions at:
brainly.com/question/20379727
Answer:
65.3%
Step-by-step explanation:
Binomial distribution PMF below (along with a description)
the probabilty of getting 2, 3, or 4 successes in 5 trials is just
p(2)+p(3)+p(4)
p(2)= 5C2*.4²*(1-.4)³ = .3456
p(3)= 5C3*.4³*(1-.4)²= .2304
p(4)= 5C4*.4⁴*(1-.4)=.0768
.3456+.2304+.0768= .6528
Answer:
6% , 800$
Step-by-step explanation:
to answer the question we can use this proportion :
x : 100 = 30 : 500
x = (100*30)/500
x = 6%
for calculate the amount after 10 years we can use this formula
A = P(1+rt)
where P indicates the initial amount, r the rate (in decimal) and t the time of investment
A = 500(1 + 0,06 x 10) = 500(1 + 0,6) = 500(1,6) = 800 $
Answer:
The amount in the account after six years is $2,288.98
Step-by-step explanation:
In this question, we are asked to calculate the amount that will be in an account that has a principal that is compounded quarterly.
To calculate this amount, we use the formula below
A = P(1+r/n)^nt
Where P is the amount deposited which is $1,750
r is the rate which is 4.5% = 4.5/100 = 0.045
t is the number of years which is 6 years
n is the number of times per year, the interest is compounded which is 4(quarterly means every 3 months)
we plug these values into the equation
A = 1750( 1 + 0.045/4)^(4 * 6)
A = 1750( 1 + 0.01125)^24
A = 1750( 1.01125)^24
A = 2,288.98
The amount in the account after 6 years is $2,288.98