Answer:
The standard form of the line is 10x + 3y = 10
Step-by-step explanation:
First we need to find the slope of the equation, which we can do using the slope equation and the two points given: (3, 0) and (0, 10)
m(slope) = (y2 - y1)/(x2 - x1)
m = (10 - 0)/(0 -3)
m = 10/-3
Now we can write the equation in slope intercept form since we have the slope and the intercept.
y = mx + b
y = -10/3x + 10
Now we can manipulate the equation to get the standard form.
y = -10/3x + 10
10/3x + y = 10
10x + 3y = 30
The answer to this question is B. I hope this helps
Answer:
698 fishes
Step-by-step explanation:
Generally, we can represent an exponential growth function as;
y = a•(1 + r)^t
originally, there were 3 fishes
The original value in this case means a = 3
After 6 weeks, there were 31
31 in this case is y
r is the increase percentage or rate
t is the time
So, we have it that;
31 = 3•(1 + r)^6
31/3 = (1 + r)^6
10.33 = (1 + r)^6
ln 10.33 = 6 ln (1 + r)
ln 10.33/6 = ln (1 + r)
e^0.3892 = (1 + r)
1 + r = 1.476
r = 1.476-1
r = 0.476 or 47.6%
So the growth percentage or rate is 47.6%
For 14 weeks, we simply have the value of t as 14;
So ;
y = 3•(1 + 0.476)^14
y = 3(1.476)^14
y = 698 fishes
Answer:
z = 36 rolls , probability for getting 7 = 1/6
Step-by-step explanation:
A die has 6 possible outcomes, which sums to 36 for two dice for every value on both dice.
The outcomes for rolling both dice for 36 times gives 6 possible outcomes summing to 7, that is, (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1).
There the probability of getting a sum dice of 7 is:
= 6 / 36 = 1/6
0.032 is the interest
since it is half a year, double this one
0.032 x 2 = 0.064
your formula is A = P(1 + (r/n)^nt
P is principle
R is rate
N is number of times
T is time
A = <span>32,675.12(1 + (0.032/2)^2(5)
A = 32675.12(1 + (0.016)^10
A = 32675.12(1.016)^10
A = 32675.12 (1.172)
A = 38295.24064
Your answer is ~38295.24
hope this helps
none of the answers make sense, because you can withdraw a lot more money from your bank account than that, unless you are missing some numbers and stuff</span>
