Answer:
![t = \frac{100}{r} [\frac{D}{C} - 1]](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B100%7D%7Br%7D%20%5B%5Cfrac%7BD%7D%7BC%7D%20-%201%5D)
Step-by-step explanation:
Assume that the deposited amount C dollars earn r% simple interest annually.
If after t years the deposited amount C dollars grows to D dollars, then we are asked to write a relation using the given terms to calculate t.
Now, using the formula of simple interest we can write
⇒ 
⇒ 
⇒
So, this is the expression for t. (Answer)
so leg A would be 60
leg B would be 85
using this we are able to determine the HYP to be 104.04
so sine = opp/HYP
leg A is the opp in this case
sin(theta) = 60/104.04
sin(theta) = 0.57670126874
when we round to the hundredths place we get 0.58
:dab:
Hello!
To find the line that is perpendicular to y = 3x - 2 and passes through the ordered pair (6, 8), we will:
- Find the negative reciprocal using the slope of the given function
- Substitute the given ordered pair into the new equation with the slope found in step 1
Let's remind ourselves of slope-intercept formula. Slope-intercept formula is y = mx + b, where m is the slope, and b is the y-intercept.
In the given equation, we know that 3 is slope. With that, we can find the negative reciprocal of that slope, and continue to step #2.
To find the reciprocal, we will need to flip our fraction. In this case, 3/1 = 3, so once we flip it, it is 1/3. Since it is the negative reciprocal, the fraction is a negative, so the negative reciprocal is -1/3.
Now, we will substitute the ordered pair into the slope-intercept formula with our new slope.
y = -1/3x + b (6, 8)
8 = -1/3(6) + b
8 = -2 + b (add 2 to both sides)
10 = b
Therefore, the equation of the line is y = -1/3x + 10.
Answer:
5/8
You put 625 over 1000 because it is in the thousandths place and then simplify
The answers are
focus: (−2,3)
directrix: y=7
vertex: (−2,5)
The vertex is at the point (−2,5), the focus is at the point (−2,3), and the directrix is the line at y=7.
Hope this helps
