Answer:
{n*(n+1) } /2
Step-by-step explanation:
The clearest pattern is that the last digit is multiplied by the number after it and then the multiplication is divided by 2.
1 is multiplied by 2, then divided by 2.
2 is multiplied by 3, then divided by 2.
3 is multiplied by 4, then divided by 2.
So, the pattern is:
{n*(n+1) }/2.
Hope this helped!
Let the amount invested at 3% = x
Let the amount invested at 6% = y.
From the total amount invested, we get this equation.
x + y = 18
Now we look at the interest earned.
The 3% account earns 0.03x
The 6% account earns 0.06y
5% on the entire amount is 0.05 * 18 = 0.9
This gives us the second equation.
0.03x + 0.06y = 0.9
Now we have a system of 2 equations in 2 unknowns.
x + y = 18
0.03x + 0.06y = 0.9
Solve the first equation for y:
y = 18 - x
Replace 18 - x for y in the second equation.
0.03x + 0.06y = 0.9
0.03x + 0.06(18 - x) = 0.9
0.03x + 1.08 - 0.06x = 0.9
-0.03x + 1.08 = 0.9
-0.03x = -0.18
x = 6
Answer: He invested $6 at 3%.
Answer:
The angle is 1560°
Step-by-step explanation:
The length of an arc in radian is given by s=rФ
where s=length of an arc, r=radius and Ф = angle in radians
The question asked us to find the angle
Given to us is; r =6m and s=52π and Фis what we are to find
From the formula s= rФ
Ф= s/r = 52πm/6m
Ф=52π/6
Ф=26π/3 radians
But the question states that the angle should be in degree, so we will change the above angle to degree, to do that we will simply multiply the angle by 180°/π
Thus;
Ф=26π/ 3 × 180°/π
(The π at the numerator will cancel that of the denominator, and 180° will be divided by 3 to give 60°, we will be left with just 26 and 60 at the numerator)
Ф = 26× 60°
Ф=1560°
Therefore, the central angle (in degree) subtended by an arc with length 52πmeters and radius 6 meters is 1560°
Answer:
There are only two roots of a quadratic.
Step-by-step explanation:
Not sure how Joe got three, but he did something incorrectly.
Answer:
(1.5, 10.5)
Step-by-step explanation: