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 second one: 4 times 10 to the power of 12
Answer:
Step-by-step explanation:
Plot the figure to better understand the problem
see the attached figure
we know that
If the figure is a rectangle
then
The area of the rectangle is equal to
where
B is the base
h is the height
the base B is equal to the distance AB
the height h is equal to the distance AD
Step 1
Find the distance AB
the formula to calculate the distance between two points is equal to
substitute the values
Step 2
Find the distance AD
the formula to calculate the distance between two points is equal to
substitute the values
Step 3
Find the area of the rectangle
we have
substitute
3 days = 72 hours + 12 hours = 84 hours
12600 watt hours / 84 hours
= 150 watt hours / 1 hour
It’s asking how many watt hours consumed per day. We know 150 watt hours per hour so multiply that by 24 because 24 hours in a day
= 3600 watt hours per day
