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:
The correct answer is 2437.5
Step-by-step explanation:
To solve this, we are going to use the break-even point formula:
![B_{ev}= \frac{F_{c}}{S_{p}-V_{c}}](https://tex.z-dn.net/?f=B_%7Bev%7D%3D%20%5Cfrac%7BF_%7Bc%7D%7D%7BS_%7Bp%7D-V_%7Bc%7D%7D%20)
where
![B_{ev}](https://tex.z-dn.net/?f=B_%7Bev%7D)
is the break even point in units
![F_{c}](https://tex.z-dn.net/?f=F_%7Bc%7D)
is the fixed cost.
![S_{p}](https://tex.z-dn.net/?f=S_%7Bp%7D)
is the sale price per unit.
![V_{c}](https://tex.z-dn.net/?f=V_%7Bc%7D)
is the variable cost per unit.
We know form our problem that the selling price of the sweatshirts is $19.99, so
![S_{p}=19.99](https://tex.z-dn.net/?f=S_%7Bp%7D%3D19.99)
. We also know that their variable unit cost $12.50, so
![V_{c}=12.50](https://tex.z-dn.net/?f=V_%7Bc%7D%3D12.50)
. Finally, we also know that the fixed cost is $18,725, so
![F_{c}=18.725](https://tex.z-dn.net/?f=F_%7Bc%7D%3D18.725)
. Lets replace the values in our formula to find
![B_{ev}](https://tex.z-dn.net/?f=B_%7Bev%7D)
:
![B_{ev}= \frac{F_{c}}{S_{p}-V_{c}}](https://tex.z-dn.net/?f=B_%7Bev%7D%3D%20%5Cfrac%7BF_%7Bc%7D%7D%7BS_%7Bp%7D-V_%7Bc%7D%7D%20)
![B_{ev}= \frac{18.725}{19.99-12.50}](https://tex.z-dn.net/?f=B_%7Bev%7D%3D%20%5Cfrac%7B18.725%7D%7B19.99-12.50%7D%20)
![B_{ev}= \frac{18.725}{7.49}](https://tex.z-dn.net/?f=B_%7Bev%7D%3D%20%5Cfrac%7B18.725%7D%7B7.49%7D%20)
![B_{ev}=2.5](https://tex.z-dn.net/?f=B_%7Bev%7D%3D2.5)
We can conclude that the break-even point of Lester corporation is
2.5 units.
The coordinates (starting from left) are
(-2,-4)(-1,-3)(0,-2)(1,-1)(2,0)
to find the y..
- ur given y=x-2
- u have all the x values on the table
so say u wanna find the y for -2, just plug it into the equation y = x - 2
so then it’ll be y = (-2) - 2
the only reason u can plug in the -2 is bc the -2 is a x value
same logic for the other numbers on the table, to find the y value for -1 just plug in -1 into y = x - 2
so then it’ll be y = (-1) - 2