Since this is a compound interest, we will use this formula: A = P(1+r/n)^n*t
P = $1000 --> the amount that we start with
r = 8% --> this is the rate
n = 4 --> This is because it is compounded quarterly.
t = 5 --> the amount of years
A = 1,000.00(1 + 0.02)^(20)
So our final value after inserting those numbers in the equation is: $1,485.95.
Answer:
area of a sector = 14.13 yards²
Step-by-step explanation:
XYZ is a sector of a circle. The radius YZ is 6 inches .The angle of the sector is given as 45°. The area of the sector can be solved as follows.
area of a sector = ∅/360 × πr²
where
r = radius
∅ = center angle
r = 6 inches
∅ = 45°
area of a sector = 45/360 × 3.14 × 6²
area of a sector = 45/360 × 3.14 × 36
area of a sector = 45/360 × 113.04
area of sector = 1/8 × 113.04
area of a sector = 14.13 yards²
Answer:
f(x)= 3x + 1
Step-by-step explanation:
Let's set the unknown variable as b, since it's a linear equation.
Using the point given (-3, -8), we can find b by plugging in the known numbers and solving.
-8 = -3 (3) + b
-8 = -9 + b
b = 1
If you want, you can check it by forming the complete equation and plugging in -3.
f(x)= 3x + 1
f(-3) = -9 + 1
f(-3) = -8 = -8
I hope this helped!
I assume you want the expression to this so it would be x-y-3
Answer:
1) A
2) min; min; max; max
3) y = x² + 5x - 3
Step-by-step explanation:
f(x) = x² + 2(x)(5) + 5² - 5² + 24
f(x) = (x + 5)² - 25 + 24
f(x) = (x + 5)² - 1
In ax² + bx + c,
if a > 0, it's a min
if a < 0, it's a max
y = ax² + bx + c
Using (0,-3)
-3 = a(0)² + b(0) + c
c = -3
y = ax² + bx - 3
Using (1,3)
3 = a + b - 3
a + b = 6
Using (-1,-7)
-7 = a(-1)² + b(-1) - 3
-7 + 3 = a - b
a - b = -4
b = a + 4
a + (a + 4) = 6
2a = 2
a = 1
b = 5
y = x² + 5x - 3
