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.
Using the relation between velocity, distance and time, it is found that his jogging rate was of 4.5 mph.
<h3>What is the relation between velocity, distance and time?</h3>
Velocity is <u>distance divided by time,</u> hence:
Jogging, his velocity was of v, while the time was of t + 2, for a distance of 10 miles, hence:
Riding, his velocity was of 16, while the time was of t, also for a distance of 10 miles, hence:
Then, considering the first equation and replacing in the second:
16t² + 32t - 20 = 0 -> t = 0.5.
Then his jogging rate in mph was:
More can be learned about the relation between velocity, distance and time at brainly.com/question/24316569
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Hey can you please write down the Multiple question choices?
Answer:
C
Step-by-step explanation:
Measure of Arc FED = 51+79
= 130°
Since the measures of arcs and angles are the same
Hence
<FED = 130°
