Answer:
Y = 125
Step-by-step explanation:
Y is directly proportional to X^2
Mathematically,
Y ∝ X²
Y = kX²
Where k = Constant of Proportionality
Step 1
If y = 45 when x = 3
We solve for k
Y = kX²
k = Y/X²
k = 45/3²
k = 45/9
k = 5
Step 2
find y when x = 5
Y = kX²
k = 5, X = 5
Hence,
Y = 5 × 5²
Y = 125
Answer:
A two-step equation is something like:
A*X + B = C
In this case, like in a linear equation, we have only one solution that can be found as:
A*X = C - B
X = (C - B)/A
In the case of a two-step inequality, we have something like:
A*X + B > C
Solving this we get;
A*X > C - B
X > (C - B)/A
In this case, any value of X that is larger than (C - B)/A is a solution, so in this case, we have infinite solutions.
That is the difference between the number of solutions for each case, in a two-step equation we have only one, while in the case of the inequality we have infinite.
Answer:
Salami: $3.00
Ham: $ 8.00
Step-by-step explanation:
12 * 1/4 = 12/4 = $3.00
12 * 2/3 = 24/3 = $8.00
Answer:
1260.04
Step-by-step explanation:
The formula for compound interest is:
A = P(1+
where A is the final amount, P is the initial principal balance, r is the interest rate, n is the number of times interest applied per time period and t is the number of time periods elapsed. Since the deposit was compounded annually, just like the interest, we can omit the n in the equation.
Applying the formula to question:
800(1+
= 1260.04 (rounded off to nearest cent since it's money)
