Vertex aka max or min point is found by -b/2a in form
f(x)=ax^2+bx+c
f(x)=-1x^2+8x+20
vertex x value is -8/(2)(-1)=-8/-2=4
input back to find y value
f(4)=-(4^2)+8*4+20
f(4)=-16+32+20
f(4)=36
max (since the graph opens down) is (4,36)
axis of symmetry is the x coordinate
max is (4,36)
axis of symmetrry is x=4
Answer:
0.30
Step-by-step explanation:
You only need to significant figures which means two numbers following the decimal point for this problem. No rounding is necessary as no numbers are over five following your first two digits past the decimal place.
Answer: $6444.14 would be deposited quarterly
Step-by-step explanation:
We would apply the formula for determining future value involving deposits at constant intervals. It is expressed as
S = R[{(1 + r)^n - 1)}/r][1 + r]
Where
S represents the future value of the investment.
R represents the regular payments made(could be weekly, monthly)
r = represents interest rate/number of interval payments.
n represents the total number of payments made.
From the information given,
S = $300000
r = 0.08/3 = 0.027
n = 3 × 10 = 30
Therefore,
300000 = R[{(1 + 0.027)^30 - 1)}/0.027][1 + 0.027]
300000 = R[{(1.027)^30 - 1)}/0.027][1.027]
300000 = R[{(2.224 - 1)}/0.027][1.027]
300000 = R[{(1.224)}/0.027][1.027]
300000 = R[45.33][1.027]
300000 = 46.55391R
R = 300000/46.55391
R = 6444.14
Answer: 5.6%
Step-by-step explanation:
Formula for simple interest: Interest = 
, where P= Principal , R = Rate of interest , T= Time.
Given: P= $3,875, T= 3 years , Interest = $651
Substitute all values in formula, we get
Hence, the required rate = 5.6%
Answer:
6
Step-by-step explanation:
5x + 8 = 38
5x = 30
