Answer:
{1}
Step-by-step explanation:
We find determinant for the given matrix and set it equal to -1
To find determinant we apply formula


|A| = x^2 - 2x
Now we set the determinant = -1

Add 1 on both sides

Now factor it
(x-1)(x-1) = 0
Set each factor =0 and solve for x
x- 1=0 so x=1
Answer:
As the picture shows, we have
V = (x+5)(x-2)x =30x
<=> x(x^2+3x-10) =30x
<=> x^3 + 3x^2-10x-30x = 0(*)
<=> x^3 +3x^2 -40x = 0
<=> x(x-5)(x+8) =0
Solve for (*), there are 3 solution :
5,
0(invalid),
-8(invalid)
=> 3 dimensions of rectangular box: 5, 3, 10
So we start at -10. Because he descends 3 feet, We subtract 3, getting -13. He then rises 6 feet. -13 + 6 = -7. The diver is now at -7 feet.
Answer:
D
Step-by-step explanation:
x + 87 = 80
x = -7
87-7 = 80
Answer:
Step-by-step explanation:
<u>Given</u>
- Investment P₀ = $8300
- Interest rate r = 6.6%
- Compound = continuous
- Time t=14 years
- P = ?
<u>Formula for continuous compound interest:</u>
- P = P₀e
^rt, where e = 2.71828, constant used for continuous interest
- P = 8300*(2.71828)^(14*0.066)
- P = $20910.57 = $20911 rounded to the nearest dollar