Answer:
0.05N - 0.1N + 1.7 (in dollars
1.7 - 0.05N (in dollars)
Step-by-step explanation:
Given :
Total number of coins = 17
Number of nickels = N
Number of dimes = 17 - N
1 nickel = 5 cent = $0.05
1 dime = 10 cent = $0.1
The amount of money :
(Value of nickel * number of nickels) + (value of dime * number of dime)
(0.05 * N) + (0.1 * (17-N))
0.05N + 1.7 - 0.1N
0.05N - 0.1N + 1.7
-0.05N + 1.7 = 1.7 - 0.05N
Evelyn has initially $524.96, then she paid $32.50, so she will have less than $500. In order to have at least $500, she needs to deposit the value x.
So the initial value, minus the value paid, plus the deposit needs to be greater than or equal 500, so we have the inequality:

Solving this inequality for x, we have:

Therefore the correct option is the first one (a).
Lines that are pendicular has slopes that multiply to -1
if m1=-5/2, then m2 times m1=-1
-5/2 times ?=-1
times both sides by -2/5
?=2/5
m2=2/5
the slope of line 2 is 2/5
Answer:
y= mx +c
Step-by-step explanation:
The point- slope form of an equation is
y= mx +c, where m is the gradient and c is the y-intercept.
You can find the value of m by using the gradient formula.

Then substitute the value of m found into the equation. Next substitute a pair of coordinates the line passes through to find the value of c. Substitute the value of c and you will obtain the point-slope form equation of the line.
<u>Here's an example.</u>
Point-slope form of an equation passing through (1, 2) and (5, 6).
① Finding gradient, m.

② Substitute value of m into equation.
y= 1x +c
y= x +c
③ Substitute a pair of coordinates.
when x=1, y=2,
2= 1 +c
c= 2 -1
c= 1
Thus the equation of the line is y= x +1.