Answer:
The answers are...:
The common ratio is -3
the sequence of the function is 2,-6, 18, -54, 162
and
the sequence of the function model is geometric
I hope this helps ^^"
Step-by-step explanation:
the common ratio is just from the -3 itself
the sequence model is just plugging n for every term so
a(1) would equal to 2, a(2)=-6 , a(3) would equal to -18, etc
and the geometric is bc it has the exponential that has (n-1), thus it is a geometric sequence
Answer:
51 grams.
Step-by-step explanation:
After 25 seconds 204 * 1/2 = 102 grams is left.
So after 50 seconds ( 2 * 25), 102 * 1/2 = 51 g are left.
Answer:
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: 
where m is the slope (also called the gradient) and b is the y-intercept (the value of y when x is 0)
<u>1) Plug the gradient into the equation (b)</u>
We're given that the gradient of the line is 4. Plug this into as m:
<u>2) Determine the y-intercept (b)</u>
Plug in the given point (1,10) as (x,y) and solve for b
Subtract 4 from both sides to isolate b
Therefore, the y-intercept of the line is 6. Plug this back into as b:
I hope this helps!
Answer:
7.5in³
Step-by-step explanation:
1x5x1.5=7.5
Answer:
The amount is $8358.7 and the interest is $3858.7.
Step-by-step explanation:
Explanation
STEP 1: To find amount we use formula:
A=P(1+rn)n⋅t
A = total amount
P = principal or amount of money deposited,
r = annual interest rate
n = number of times compounded per year
t = time in years
In this example we have
P=$4500 , r=7% , n=2 and t=9 years
After plugging the given information we have
AAAA=4500(1+0.072)2⋅9=4500⋅1.03518=4500⋅1.857489=8358.7
STEP 2: To find interest we use formula A=P+I, since A=8358.7 and P = 4500 we have:
A8358.7II=P+I=4500+I=8358.7−4500=3858.7
