There are two <em>true</em> statements:
- When the function is composed with r, the <em>composite</em> function is V(t) = (1/48) · π · t⁶.
- V(r(6)) shows that the volume is 972π cubic inches after 6 seconds.
<h3>How to use composition between two function</h3>
Let be <em>f</em> and <em>g</em> two functions, there is a composition of <em>f</em> with respect to <em>g</em> when the domain of <em>f</em> is equal to the range of <em>g</em>. In this question, the <em>domain</em> variable of the function V(r) is replaced by substitution.
If we know that V(r) = (4/3) · π · r³ and r(t) = (1/4) · t², then the composite function is:
V(t) = (4/3) · π · [(1/4) · t²]³
V(t) = (4/3) · π · (1/64) · t⁶
V(t) = (1/48) · π · t⁶
There are two <em>true</em> statements:
- When the function is composed with r, the <em>composite</em> function is V(t) = (1/48) · π · t⁶.
- V(r(6)) shows that the volume is 972π cubic inches after 6 seconds.
To learn on composition between functions: brainly.com/question/12007574
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Answer:
The amount which she borrow as house loan is $ 48514.56
Step-by-step explanation:
Given as :
The house loan per month afford by Kylie = $1310
The period of loan = 25 Years
The annual rate compounded monthly = 8.4%
Principal = $ P
∵ The per month loan afford amount = $1310
So, The amount afford in 25 years = $1310 × 25 × 12
Or, The amount afford in 25 years = $393,000
<u>Now, from compounded method</u> :
Amount = Principal × 
Or, $393,000 = $ P × 
Or, $393,000 = $ P × 
Or, $393,000 = $ P × 
∴ P = $ 48514.56
Hence The amount which she borrow as house loan is $ 48514.56 Answer
Answer:
755757
Step-by-step explanation:
Answer:
60-9pi if you need that rounded then 31.73
Step-by-step explanation:
10*6= 60
the two semi circles make one full circle. a circle formula is pi*r^2 = pi*3^2= 9pi
then subtract 9pi from 60
60-9pi = 31.73
Answer:
45
Step-by-step explanation:
10+10+10+10+5=45
