Answer:
19d + 11
Step-by-step explanation:
7(d + 2) - 3 (1- 4d)
Expand the brackets.
7d + 14 - 3 + 12d
Add or subtract like terms.
7d + 12d + 14 - 3
19d + 11
Tan 25.5 = h/x
Tan 20.5 = h / x+1
x tan 25.5 = (x+1) tan 20.5
x 0.476975532 = (x+1) 0.373884679
0.476975532x = 0.373884679x + 0.373884679
Deduct both sides by .373884679
0.103090853x = 0.373884679
x = 3.6267 is the first person.
Add one to get for the second person
X = 4.6267
Here's the given:
P=$400
i=7.5%
A=$8500
The formula used for this problem is:
A = P(1+i)^t
Manipulating the equation to arrive at t, we have:
t = ln(A/P) / ln(1+i)
Plugging in values:
t = ln($8500/$400) / ln(1+0.075)
t = 42.26 years
<h3>
Answer: 64 cm^2</h3>
Reason:
The parallelogram has area of A = base*height = 10*7 = 70 cm^2
The white rectangle has area of B = base*height = 3*2 = 6 cm^2
The shaded region has area of A - B = 70 - 6 = 64 cm^2
If you are curious why the rectangle and parallelogram use the same formula to get the area, notice how you can move that triangle on the left toward the right side so that a rectangle can be formed.
You should be able to find the maximum value of c by simply substituting the maximum values for x and y.
So we'll let x = -2 and y = 6.
The equation is is now as follows:
c = 5(-2) + 4(6)
c = -10 + 24
c = 14
Therefore the maximum value for c is 14.
