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.
Answer: 130
In order to solve for <4, you need to know that supplementary angles add up to 180°.
<3 = 50
180 - 50
130
**For future questions**
1. The sum of the interior angles of a triangle is 180°
2. Alternate interior angles are congruent
3. The exterior angle of a triangle is the sum of the nonadjacent interior angles
See attachment below.
Answer: No, it does not matter.
Step-by-step explanation:
In addition the order does not matter, this is because of the commutative property of the addition, that says that: A + B = B + A
and the associative property, that says that:
A + (B + C) = (A + B) + C
for example, if you have 4 chips and your friend gives you her 5 chips, now you have a total of 4 + 5 = 9 chips.
The case is the same if you have 5 chips and your friend gives you 4 chips, now you have 5 + 4 = 9 chips.
Other example is that:
5 chips + ( 2chips + 1 chip) = 5 chips + 3 chips = 8 chips
(5 chips + 2 chips) + 1 chip = 7 chips + 1 chip = 8 chips
You can see that the order does not matter.
A) x² + y² = 327
B) x * y = 101
Solving equation B for y²
B) y² = 10,201 / x²
Substituting this into equation A)
x² + 10,201 / x² = 327
x^4 + 10,201 = 327x²
x^4 -327x² + 10,201 = 0
Using the quartic equation calculator: http://www.1728.org/quartic.htm
x1 = 17.090169943749476
x2 = 5.909830056250525
x1 * x2 = 101
x1 + x2 = 23
Step-by-step explanation:
3x + 2y = 9
- (3x + y = 6)
=> y = 3.
Therefore 3x + (3) = 6, 3x = 3, x = 1.
The solutions are x = 1 and y = 3.
