When the ratio is 1:1, either is 1/(1+1) = 1/2 the total.
Answer and Step-by-step explanation:
Every group homomorphism ϕ:Zn→Zm extends in a unique way to a linear transformation T:Qn→Qm of vector spaces over Q.
Moreover, ϕ is injective iff T is injective. But T being injective implies n≤m.
Applying this to both ϕ and ϕ−1, we conclude that n≤m≤n.
NOTE:
The proof and step-by-step explanation is in the attachment below
Answer:
He will make $53,330
Step-by-step explanation:
In this question, we are tasked with calculating how much Mr Santiago will make in three years.
To calculate the future value of his earnings, we can use the formula for the future value of the salary
Mathematically, the FV = I(1 + r)^t
Where I is the initial amount of $51,000
r is the interest rate which is 1.5% = 1.5/100 = 0.015
t is the time in years which is 3 years
We plug these values into the equation above;
FV = 51,000(1+0.015)^3
FV = 51000(1.015)^3
FV = 53,329.59 which is $53,330 to the nearest whole dollars
You’re correct, it’s 16. Constant proportionality mean how much Y moves. So it’s 16!
Answer:$0.25
Step-by-step explanation:
$3.00 divide by 12= 0.25