Answer:
for the third question y = 5, x = 3
Step-by-step explanation:
For 20% out of 100% it would be 1/5 as you need 5 20s for 100
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 linear equations, the number of minutes that both would read for them to read equal number of pages is: 30 minutes.
<h3>What is the Equation of a Linear Graph?</h3>
Equation of a linear graph is given as, y = mx + b, where m and b are the slope and y-intercept of the graph respectively.
Equation for Emily's graph:
Slope (m) = rise/run = 1/3
y-intercept (b) = 2
Substitute m = 1/3 and b = 2 into y = mx + b
y = 1/3x + 2
Equation for Serena's graph:
Slope (m) = rise/run = 2/5
y-intercept (b) = 0
Substitute m = 2/5 and b = 0 into y = mx + b
y = 2/5x + 0
y = 2/5x
To find how many minutes for both of them to read the same number of pages, make both equations equal to each other.
2/5x = 1/3x + 2
2/5x - 1/3x = 2
1/15x = 2
Multiply both sides by 15
x = (2)(15)
x = 30
The answer is 30 minutes for both to read the same number of pages.
Learn more about linear equations on:
brainly.com/question/14323743
-11 y 17 with z and x on the line
