Answer:
please refer to the above attachment.
Answer:
12 D. Is the answer
Step-by-step explanation:
The equation we will use is
1
6
+
1
x
=
1
4
. Solve the equation by multiplying each term by the LCM of the denominator, 12x. The equation is now 2x + 12 = 3x. We solve and find x = 12. It will Marcus 12 hours to paint the room alone.
Answer:
6.517%
Step-by-step explanation:
This is a multi-year investment and we are not working with a $1 initial investment. There is no mention of compounding so we will use formula A=P0⋅(1+r)N with A=$18,434 and P0=$14,320. We do not know the value of r. However, N=4 years. Substituting the values we have $18,434=$14,320⋅(1+r)4. Divide both sides of the equation by $14,320. Next, take the fourth root of both sides of the equation and subtract 1 to find the decimal form of r.
$18,4341.287291.065170.06517=$14,320⋅(1+r)4=(1+r)4=1+r=r
Finally, convert r to a percent.
r=0.06517×100%=6.517%
Answer:
(14a+3, 21+4) = 1
Step-by-step explanation:
We are going to use the Euclidean Algorithm to prove that these two integers have a gcd of 1.
gcd (14a + 3, 21a + 4) = gcd (14a+3, 7a + 1) = gcd (1, 7a+1) = 1
Therefore,
(14a + 3, 21a + 4) = 1
