Answer:
y=2x-3
when two lines are parallel, they have the same slope.
in the formula y=mx+b, m=slope of the line
we know 2 will be the slope for the line passing through (4,5)
next plug in (4,5) into the formula with 2 as the slope
4=x 5=y
next 5=2(4)+b
and you end up with
y=2x-3 when you simplify
Hello there! I can help you! The formula for compound interest is P(1 + r)^t, where P= principal (initial amount), r = interest rate (in decimal form), and t = time (in years). Let's do this step by step. First off, we add the rate into 1. 4% is the interest rate (0.04 in decimal form). 1 + 0.04 is 1.04. Now, what we will do is raise that number to the 2nd power, because the time that elapses is 2 years. 1.04² is 1.0816. That's that. Now, multiply 7,500 to find the total amount of money. 1.0816 * 7,500 is 8,112. There. Toby's savings account balance in 2 years is £8,112.
Note: To solve for compound interest questions like it, add 1 to the percentage rate in decimal form, raise that number to a power based on the number of years (for example, raise the number to the 7th power if we are looking for the balance after 7 years), and then multiply that number by the starting amount. After you raise the number by a power, there may be a lot of numbers behind it. Whatever you do, DO NOT delete the number. Keep it there and multiply it by the principal.
It's a conditional probability: (We know that the probability of getting 1 tail or 1 head is equal to 1/2)
Probability ( Tail AND Tail) = 1/2 x 1/2 = 1/4
