Answer:
n = 10
Step-by-step explanation:
The sum to n terms of an arithmetic sequence is
= 
[ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = 12 and d = 5 and = 345, thus
[ (2 × 12) + 5(n - 1) ] = 345 ( multiply both sides by 2 )
n( 24 + 5n - 5) = 690 ← distribute and simplify left side
n(19 + 5n) = 690
19n + 5n² = 690 ( subtract 690 from both sides )
5n² + 19n - 690 = 0 ← in standard form
(5n + 69)(n - 10) = 0 ← in factored form
Equate each factor to zero and solve for n
5n + 69 = 0 ⇒ 5n = - 69 ⇒ n = - 
n - 10 = 0 ⇒ n = 10
However, n > 0 , thus n = 10
Step-by-step explanation:
- move 2.4x to the left-hand side and change its sign.
- move y to the right-hand side and change its sign.
- Divide both sides of the equation by -2.4
<u>#CarryOnLearning</u>
No, 3(20)+5=65 and 20+95=115.
65 is not equal to 115; therefore they are not parallel because they are not congruent.
The linear equation in its generic form is:
y-yo = m (x-xo)
In this case we have that the slope is:
m = 300
The ordered pair is:
(xo, yo) = (2, 1400)
Substituting we have:
y-1400 = -300 (x-2)
Rewriting:
y = -300x + 600 + 1400
y = -300x + 2000
Answer:
a linear function that models this scenario is:
y = -300x + 2000
The slope of the line is:
-300
The y-intercept of the line is:
2000
Let bryce=b jon=j
b=3j
in ten years
b+10+j+10=108
b+j=88
putting value of b
4j=88
j=22
b=66
