Answer:
(5,0) & (3 , -1)
Step-by-step explanation:
Solution is the points where the parabola and line intersects.
Answer:
9
Step-by-step explanation:
30 - (9+4 x 3)
30 - (9 + 12)
30 - 21
= 9
The required zeroes are ~
Let's equate the given polynomial with 0, to find its roots ~
that is ~
there are two cases,
Case # 1 - when (x + √3) = 0
and
Case # 2 - when (x - √3) = 0
Answer:
0.833 feets
Step-by-step explanation:
Given that:
Volume of box = 1600
Heigh of box (H) = 8 inches
Let:
Width of box (W) = x
Length of box (L) = 2x
Volume of box = (Height * width * length)
1600 = (8 * x * 2x)
1600 = 16x²
x² = 1600/16
x² = 100
x = sqrt(100)
x = 10 inches
Hence, width of box in feet:
1 inch = 0.0833 feets
10 inches = (10 * 0.0833) feets
= 0.833 feets
Answer: the value of the annuity when you retire is $130919
Step-by-step explanation:
We would apply the future value which is expressed as
FV = C × [{(1 + r)^n - 1}/r]
Where
C represents the yearly payments.
FV represents the amount of money
in your account at the end of 10 years.
r represents the annual rate.
n represents number of years or period.
From the information given,
r = 7% = 7/100 = 0.07
C = 20/100 × 47400 = $9480
n = 10 years
Therefore,
FV = 9480 × [{(1 + 0.07)^10 - 1}/0.07]
FV = 9480 × [{1.967 - 1}/0.07]
FV = 9480 × 13.81
FV = $130919
