Answer: Explicit Rule: a_n=30,000 • 2^n-1
Recursive Rule: a_n = 2a_n-1; a_1 = 30,000
Step-by-step explanation: the explicit rule for a geometric sequence is a_n = a_1 • r^n-1 and the recursive rule is a_n= r • a_n -1.
a_1 is the first term of the sequence, which is this case is 30,000. R is the common ration, which is 2 since it doubles each time. Substitute those numbers into the formulas and that’s what you’ll get. Hope this helps. God bless you!!!
Answer:
1.875
Step-by-step explanation:
Answer:
l=48, w=20
Step-by-step explanation:
Let the width of the pool be w feet, then the length will be:

The area of the pool is 960 square feet.
This means that:

Expand and rewrite in standard form to get:




Factor to get:


We discard the negative value because magnitude is positive.
This means

Xy-3x=40, x=5
x(y-3)=40
y-3=(40/x)
y=(40/x)+3
y=(40/5)+3
y=8+3
y=11
Answer:

Step-by-step explanation:
step 1
we know that
Jeremy uses 27 inches of board for each birdhouse
so
by proportion
Calculate how many inches of board does he need to make 6 birdhouses

step 2
Convert inches to yards

