Answer:
329.5
Step-by-step explanation:
From the table we see that the common difference d = 0.5 - (-6.5)
= 7, and 7.5 - 0.5 = 7. Also 14.5 - 7.5 = 7.
The first term a1 = -6.5.
The nth term = a1 + (n - 1)d so for our sequence we have:
49th term = -6.5 + (49 - 1)7
= -6.5 + 48 * 7
= -6.5 + 336
= 329.5 (answer).
Answer:
He will have to pay $192 in simple interest.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
E = P*I*t
In which E is the interest, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
In this problem, we have that:
P = 600, r = 0.08, t = 4
So
E = P*I*t = 600*0.08*4 = 192
He will have to pay $192 in simple interest.
x+y=5
-x -x
Equals:
y=-x+5
Now you have:
y=-x+5
x-y=1
Insert -x+5 into y
x-x+5=1
Combine like terms
2x+5=1
Subtract 5.
2x=-4
Divide 2.
Answer: x=-2
The area of triangle formula is A = B*H / 2
so it means 16 square = (<span>x+4) x /2
so x²+4x -32=0, D' = 2²- (-32)= 36, sqrt of D' = 6
so x = -2 -6 = -8 or x= -2 +6 = 4
x must be positive so x = 4</span>
Answer:
remainder = 290
Step-by-step explanation:

= 3x² + 11x + 57 + 
quotient = 3x² + 11x + 57 and remainder = 290