Answer:
x= 1/4 +(-1/4) √65 or x= 1/4 + 1/4 √65
Step-by-step explanation:
x= −b±√b2−4ac
/2a
x=
−(1)±√(1)2−4(−2)(8)
/2(−2)
x=
−1±√65
/−4
x= 1/4 +(-1/4) √65 or x= 1/4 + 1/4 √65
Step-by-step explanation:
Given that,
Perpendicular = 17 units
Hypotenuse = 25 units
We need to find the value of x.
Using Pythagoras theorem to find x.
Hypotenuse² = base²+perpendicular²
25² = x² + 17²
x = 18.3 units
So, the value of x is equal to 18.3 units. No, the sides do not form a Pythagorean triplet.
Answer:
y = 6
Step-by-step explanation:
Perform the indicated multiplication: 6y + 12 = 8y
Consolidate y terms on the right: 12 = 8y - 6y = 2y, or y = 6
Answer:
$9891.23
Step-by-step explanation:
The formula for future value of annuity due is:
![FV=P[\frac{(1+r)^{n}-1}{r}]*(1+r)](https://tex.z-dn.net/?f=FV%3DP%5B%5Cfrac%7B%281%2Br%29%5E%7Bn%7D-1%7D%7Br%7D%5D%2A%281%2Br%29)
Where,
- FV is the future value of the annuity (what we need to find)
- P is the periodic payment (here it is $400)
- r is the interest rate per period (here 13% yearly interest is actually
percent per period(quarter)) - n is the number of periods (here the annuity is for
years, which is
periods, since quarterly and there are 4 quarters in 1 year)
Substituting all those values in the equation we get:
![FV=400[\frac{(1+0.0325)^{18}-1}{0.0325}]*(1+0.0325)\\=400[23.9497]*(1.0325)\\=9891.23](https://tex.z-dn.net/?f=FV%3D400%5B%5Cfrac%7B%281%2B0.0325%29%5E%7B18%7D-1%7D%7B0.0325%7D%5D%2A%281%2B0.0325%29%5C%5C%3D400%5B23.9497%5D%2A%281.0325%29%5C%5C%3D9891.23)
Hence, the future value of the annuity due is $9891.23
The answer is M is about -3.74