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.
The probability of you rolling a 5 would be 1/6 since the cube has 6 sides and only one of the sides has a 5.
The probability that you either roll a 5 or do not roll a 5 would be 6/6 because 1/6, the probability you WILL roll a 5, and 5/6, the probability you WON'T roll a 5 added together is 6/6.
The probability that you don't roll a 5 is 5/6 because there are 5 sides of the dice that are not 5.
Hope that helped!
Step-by-step explanation:
x-int
-7x=28
x=-4
(-4,0)
-4y=28. y-int
y=-7
(0,-7)
Answer: 
Step-by-step explanation:
- Dilation is a transformation, in which the size of the image gets changed but not shape.
The rule of dilation with scale factor k and wither origin as center of dilation :
(x,y) → (kx, ky)
Here , 
, center of dilation = Origin
Then, the rule best represents a dilation to create pentagon PQRST will be :
Answer:
Step-by-step explanation:
MS = RS - RM
MS = 13 in - 4 in = 9 in
By the rules of crossing chords, ...
MS × MR = PM × QM
(9 in)(4 in) = PM² . . . . . QM = PM
PM = √(36 in²) = 6 in
PQ = PM + QM = 2×PM = 12 in
