Answer:
Step-by-step explanation:
the first one
Answer:
A) 2(9x - 2)
Step-by-step explanation:
The greatest common factor of 18x and -4 is 2.
B is wrong because 18 is not the greatest common factor of both, since 4 cannot be divided by 18 and result in a whole number.
C is wrong because 18x cannot be divided by 4 to produce a whole number.
D is wrong because it restates the problem in a different way, therefore not factoring it completely. 1 is a common factor of both, but not the greatest.
Answer:
16.42 years
Step-by-step explanation:
Use the Future value formula; FV = PV (1+r)^t
PV= Initial amount deposited, 500
r= interest rate or discount rate, 2.5%
t = total duration of the investment, ?
FV= future value of account, 750
Plug in the numbers into the formula
750 = 500* (1+0.025)^t
divide both sides by 500
750/500 = 1.025^t
put ln on both sides
ln 1.5 = ln
ln 1.5 = t ln 1.025
0.4054651 = 0.0246926 t
Divide both sides by 0.0246926
0.4054651/0.0246926 = t
t = 16.42
16.42 years
<u>Given</u>:
The given triangle QPO is a right triangle.
The length of QP is 5 units.
The length of OP is (x + 5) units.
The length of QO is (x + 6) units.
We need to determine the hypotenuse of the triangle QPO.
<u>Value of x:</u>
The value of x can be determined using the Pythagorean theorem.
Thus, we have;
Substituting the values, we get;
Expanding, we get;
Adding the like terms, we get;
Thus, the value of x is 7.
<u>Length of the hypotenuse:</u>
The hypotenuse of the triangle QPO is QO.
Substituting x = 7 in the length of QO, we get;
Thus, the length of the hypotenuse is 13 units.
Hence, Option D is the correct answer.
