The origin is (0,0)
y = mx + b
slope(m) = 2/3
(0,0)...x = 0 and y = 0
now we sub and find b, the y int
0 = 2/3(0) + b
0 = b
so ur equation is y = 2/3x + 0...or just y = 2/3x
Answer:
The expression 3s + 2p represent total price of 3 shirts and 2 pairs of pants.
Step-by-step explanation:
It is given that
Price of a shirt = S dollar
Price of a pair of pants = P
Total number of shirts = 3
Total number of pairs of pants = 2
Total price = Quantity × Price of each unit
Total price of 3 shirts = 3S
Total price of 2 pairs of pants = 2P
Total price of 3 shirts and 2 pairs of pants = 3S + 2P
Therefore the expression 3s + 2p represent total price of 3 shirts and 2 pairs of pants.
Using logarithm, the following equation will apply:
Y = P * [1 + z]^x
Where Y = 2000
P = 100
z = 5% = 0.05
x is the quantity we are calculating for
The equation becomes
2000 = 100 * [1+ 0.05]^x
Dividing both side by 100, we have
20 = 10 * [ 1 + 0.05]^x
Taking the log of both sides, we have
Log 20 = Log [1 + 0.05]^x
log 20 = x * log 1.05
x = log 20/ log 1.05 = 61.40
Thus, it will takes 61.40 minutes for the number of cells in the petri dish to reach 2000.
Answer:
D
Step-by-step explanation:
more money for everyone = higher price of goods
So he knows there are definitely 66 trouts as he caught and tagged them.
The next day he caught 52, but 13 of them were already tagged, so were part of the number of trout he caught before.
So he can expect that:
66+(52-13)= 105 trout are in the lake