I'm not completely sure about this answer since it's been 2 months since I've done geometry but to find the measure of <ADC, it's half of the arc measure of arc AE. (48+68)/2=58 so the measure of <ADC is 58 degrees.
The measure of arc AE is 68 because it is the measure of <ABE doubled.
Answer: Angie's profit equation is 25x−200=p
Step-by-step explanation:
Let x represent the number of lawns that Angie mows in her neighborhood.
Let p represent the profit made by mowing x lawns.
Profit = Revenue - cost
She charges $25 per lawn. This means that the amount charged for x lawns = 25×x = 25x
So her revenue is 25x
She buys a new mower for $200. Thus, the cost is $200. Therefore, Angie's profit,p is expressed as
p = 25x - 200
Answer:
the amount of money Ian invested is P = £2,500
Step-by-step explanation:
The standard formula for compound interest is given as;
Where;
A = final amount/value
P = initial amount/value (principal)
r = rate yearly
n = number of times compounded yearly.
t = time of investment in years
For this case, Given that;
A = £2652.25
t = 2 years
n = 1 (semiannually)
r = 3% = 0.03
substituting the given values into equation 1;
P = £2,500
the amount of money Ian invested is P = £2,500
Yes, This is true. If the asymptotes of a hyperbola are the x- and y- axes, it IS known as a rectangular hyperbola.
We have system:
y=2x+1
y=2x^2+1
To find which ordered pair is solution to this system we need to solve system for x and y.
Left sides are same so the right sides must be same too.
2x+1=2x^2+1
2x-2x^2+1-1=0
2x-2x^2=0
2x(1-x)=0
x1=0
x2=1
y1=2*0+1=1
y2=2*1+1=3
The solution are pairs (0,1) and (1,3).
