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.
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Answer:
154ft.2 witch is d
Step-by-step explanation:
i just know
Answer:
Step-by-step explanation:
We will call the dog's original weight d and the cat's c. according to the problem 1.2c=.9d
1.2c is the cat's weight increased by 20% and .9d is the dog's weight decreased by 10% Now we just solve this with algebra for the dog's original weight.
1.2c=.9d
(1.2/.9)c = d
(4/3)c = d
Now, this tells us that the dog's original weight was 4/3 of the cat's.or about 33.33% larger
It kinda looks like the question is then asking what the cat's current weight is in comparison to the dog's original. If that's the case we need just one more step. We want the dog's original weight and the cat's current weight in terms of the same variable. Well, we have that.
Current cat = 1.2c or 6/5, since we have the other in fractional form.
original dog = (4/3)c
Now, what do we multiply the first to get to the second? Well, we need common denominators. 15 is the lcm of 3 and 5, so we'll use that.
6/5 = 18/15 and 4/3 = 20/15
Nowwe want to know what we have to multiply 18 by to get to 20. some algebra will find that.
18x=20
x = 20/18
x = 10/9
that's about 1.11, so the dog's original weight is about 11% higher than the cat's current weight.
Hopefully that's the answer it wanted, if not or if there is something you didn't understand let me know.
13) B. 8.47,8.67,8.7
14) A
Just ask for explanation if u need it
Hope that helped :)
