Here you don’t need to solve the equation,the value of the problem is zero
For each, you'll use the slope formula
m = (y2-y1)/(x2-x1)
For function f, you'll use the two points (1,6) and (2,12) since x ranges from x = 1 to x = 2 for function f
The slope through these two points is
m = (y2-y1)/(x2-x1)
m = (12-6)/(2-1)
m = 6/1
m = 6
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For function g, you'll use (2,4) and (3,20)
The slope through these two points is
m = (y2-y1)/(x2-x1)
m = (20-4)/(3-2)
m = 16/1
m = 16
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For function h, you'll use (0,-6) and (2,-18). The y coordinates can be found by plugging in x = 0 and x = 2 respectively into h(x)
The slope through these two points is
m = (y2-y1)/(x2-x1)
m = (-18-(-6))/(2-0)
m = (-18+6)/(2-0)
m = (-12)/(2)
m = -6
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The order from left to right is: h, f, g
Answer:
It would take 5.9 years to the nearest tenth of a year
Step-by-step explanation:
The formula of the compound continuously interest is A = P
, where
- A is the value of the account in t years
- P is the principal initially invested
- e is the base of a natural logarithm
- r is the rate of interest in decimal
∵ Serenity invested $2,400 in an account
∴ P = 2400
∵ The account paying an interest rate of 3.4%, compounded continuously
∴ r = 3.4% ⇒ divide it by 100 to change it to decimal
∴ r = 3.4 ÷ 100 = 0.034
∵ The value of the account reached to $2,930
∴ A = 2930
→ Substitute these values in the formula above to find t
∵ 2930 = 2400
→ Divide both sides by 2400
∴ 
=
→ Insert ㏑ in both sides
∴ ㏑() = ㏑()
→ Remember ㏑(
) = n
∴ ㏑() = 0.034t
→ Divide both sides by 0.034 to find t
∴ 5.868637814 = t
→ Round it to the nearest tenth of a year
∴ t = 5.9 years
∴ It would take 5.9 years to the nearest tenth of a year
Y=Mx+b
Rise / run between any two points = slope (m)
Where the line crosses the y axis is (yint) (b)
Slope is -1/2
Yint = -8
So the equation is y=(-1/2)x - 8
Steps:
Question 1:
Step 1: Multiply both sides by h+0.5.
Step 2: Factor out variable f.
Step 3: Divide both sides by h^2+0.5h.
Question 2
Let's solve for g.
Step 1: Divide both sides by h.
Answers:
1: f=45h+42.5/h²+0.5h
2: g=16.5h+53.25/h
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<em><u>Hope this helps.</u></em>
