Step-by-step explanation:
2x^2+6x=36
x^2+3x=12
x^2+3x-12=0
x=(-3+(57)^0.5)/2 or x=(-3-(57)^0.5)/2
Correct answer:
15
Explanation:
This problem can be solved by applying the area formula:
Since this question provides the area of the kite and length of one diagonal, plug that information into the equation to solve for the missing diagonal.
Thus the solution is:
60=8×diagonalB2
60×2=8×diagonalB
120=8(diagonalB)
diagonalB=1208=15
Answer:
Q = 23
Step-by-step explanation:
Complementary angles add to 90 degrees
67+Q =90
Subtract 67 from each side
67+Q -67 = 90-67
Q = 23
Answer:
number 2
Step-by-step explanation:
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
