Answer:
9 and 27
Step-by-step explanation:
let me know if you want an explanation
Lets consider SAM's age is 'x' and Hank's age is 'y'
So as per given data Sam's age is 5/3 times of Hank's age
so x = 5/3 * y
3x = 5y --> equation 1
and also sum of their ages is 24
so, x + y = 24
we need to find Hank's age (y)
so x = 24 - y
Now replace x value in equation 1
3(24-y) = 5y
72-3y = 5y
72 = 3y+5y
8y= 72
y= 72/8
y = 9 years.
So the Hank's age is 9 years
.
Answer:
a = 
Step-by-step explanation:
Given:
f(x) = log(x)
and,
f(kaa) = kf(a)
now applying the given function, we get
⇒ log(kaa) = k × log(a)
or
⇒ log(ka²) = k × log(a)
Now, we know the property of the log function that
log(AB) = log(A) + log(B)
and,
log(Aᵇ) = b × log(A)
Thus,
⇒ log(k) + log(a²) = k × log(a) (using log(AB) = log(A) + log(B) )
or
⇒ log(k) + 2log(a) = k × log(a) (using log(Aᵇ) = b × log(A) )
or
⇒ k × log(a) - 2log(a) = log(k)
or
⇒ log(a) × (k - 2) = log(k)
or
⇒ log(a) = (k - 2)⁻¹ × log(k)
or
⇒ log(a) = 
(using log(Aᵇ) = b × log(A) )
taking anti-log both sides
⇒ a =
Answer:
Step-by-step explanation:
The expression representing the amount of money that the photographer would make from selling 10 copies is given as
10(0.75p - 0.5)
where p represents the price determined for each copy. Assuming the price charged per copy is $5, then the amount made from 10 copies is
10(0.75 × 5 - 0.5) = $32.5
It could have been
10(5 - 0.5) = $45
The price is being reduced by 25%(100 - 75)
Therefore, the option that most likely describes the agreement between the online service company and the photographer is
A. The company keeps 25% of the amount paid for each copy and charges the photographer $0.50 for every copy purchased.
Answer:
x= 6 1/2 or 6.5
Step-by-step explanation:
4^x-5 =8
2^2(x-5) =2^3
since the base is equal, the powers are equal
2(x-5) = 3
2x - 10 = 3
2x = 3 + 10
2x = 13
2x/2 = 13/2
x = 6 1/2 or 6.5
