Answer:
Step-by-step explanation:
4x-6y=21
divide by 21

Given:
The figure of a triangle DEF.
To find:
The coordinate of image of given triangle after reflection over y-axis.
Solution:
The vertices of given triangle are D(1,4), E(4,3), F(2,0).
If a figure is reflected over the y-axis, then the rule of reflection is

Using this rule, we get



Therefore, the coordinates of image are D'(-1,4), E'(-4,3) and F'(-2,0).
Answer:
B. 3
Step-by-step explanation:
You can use online calculators for this like symbolab.com for steps! Here is your specific question answered with steps: https://www.symbolab.com/solver/step-by-step/%206%20%E2%88%92%203%5E%7B3%7D%20%5Cdiv%5Cleft(2%5E%7B2%7D%20%2B%205%5Cright)%20
Here you go! Hope this helps!
Answer:
$2502.60
Step-by-step explanation:
The formula for the amount of an annuity due is ...
A = P(1 +r/n)((1 +r/n)^(nt) -1)/(r/n)
where P is the monthly payment (100), r is the annual interest rate (.04), n is the number of compoundings per year (12), and t is the number of years (2). Given these numbers, the formula evaluates to ...
A = $100(1.00333333)(1.00333333^24 -1)/0.00333333
= $100(301)(0.08314296)
= $2502.60
_____
This value is confirmed by a financial calculator. The given answer choices all appear to be incorrect. The closest one corresponds to an annual interest rate (APR) of 4.286%, not 4%.