Answer:
x=10 x=-2
Step-by-step explanation:
(x − 3)(x − 5) = 35
FOIL
x^2 -5x-3x+15 = 35
Combine like terms
x^2 -8x+15 = 35
Subtract 35 from each side
x^2 -8x+15-35 = 35-35
x^2 -8x-20 =0
Factor
What 2 numbers multiply to -20 and add to -8
-10*2 = -20
-10 +2 = -8
(x-10)(x+2) =0
Using the zero product property
x-10 =0 x+2 = 0
x=10 x=-2
Answer:
a. $10,943.30
b. $1,267.35
Step-by-step explanation:
P = $9,675.95
r = 6.25% = 0.0625
t = Compounded Semiannually = 2
a. Amount after 2 Years
n = 2
A = P [1 + (r / n)]^nt
A = $9,675.95 [1 + (0.0625 / 2)]² ˣ ²
A = $9,675.95 [1 + 0.03125]⁴
A = $9,675.95 [1.03125]⁴
A = $9,675.95 x 1.130982
A = $10,943.30
b. Compound Interest
Compound Interest = Final Amount - Principal Amount
Compound Interest = $10,943.30 - $9,675.95
Compound Interest = $1,267.35
<span>x = 10 or x = -4. It's one of those 2, there's 2 solutions for what I solved.</span>
The length of the base is 6. You can use the formula b=a/h to find the base. <span />
