Answer:
y = - 
x + 
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 4y = 5x + 3 into this form by dividing the 3 terms by 4
y = 
x + 
← in slope- intercept form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - 
= - , thus
y = - x + c ← is the partial equation
To find c substitute (3, - 2) into the partial equation
- 2 = - 
+ c ⇒ c = - 2 + =
y = - x + ← equation of perpendicular line
Answer:
Step-by-step explanation:
Since we have an amount in the future of 750, we are going to use Future value formula; FV = PV (1+r)^t
where PV= Initial amount deposited
r= interest rate or discount rate
t = total duration of the investment
FV= 750
PV=500
r = 2.5% or 0.025 as a decimal
t = ?
Next, plug in the numbers into the formula;
750 = 500* (1+0.025)^t
divide both sides by 500;
750/500 = 1.025^t
Introduce <em>ln</em> on both sides
ln 1.5 = ln 
ln 1.5 = t ln 1.025
0.4054651 = 0.0246926 t
Divide both sides by 0.0246926 to solve for t;
0.4054651/0.0246926 = t
t = 16.42
Therefore it will take 16.42 years
12. Divide total weight by weight of each. 1200 / 1.2 = 1000.
13. Total gas divided by number of cars will give amount of gas per car. 1350 / 100 = 13.5
14. The recipe gives the amount for 10 large bags. In other words, there is 750.2 grams in 10 bags. So divide by 10 to get the amount in 1 bag, which is B
15. Do the same process from 14. for oats and sunflowers, and then add them together. Answer is A
16. This is a bit diffrent but similar idea. Recipie gives for 100 snack sizes. So if we divided sunflower by tht we get 4.505. We need 2 bags however for a total of 9.01 grams. which is D
