Answer:
a. y = 2/5x + 1/5
Step-by-step explanation:
In point-slope form, the equation of a line with slope m through point (h, k) can be written
y = m(x -h) +k
Then a line with slope 2/5 through the point (-3, -1) will have point-slope equation ...
y = (2/5)(x +3) -1
This can be simplified to the desired form:
y = 2/5x +6/5 -1 . . . . . . eliminate parentheses; next, collect terms
y = 2/5x + 1/5
A tad more than 29 years, but that depends on the number of times it is being compounded
Answer:
Year 2004
Step-by-step explanation:
Population of a country in year 1995 = 286
Model that expresses the growth rate of the population is,
P(t) = 
Here, t = year
a). For P = 311 million people
311 =
log(311) - log(286) = (t - 1995)log(1.009)
2.4928 - 2.4564 = (t - 1995)(0.00389)
t = 1995 + 9.4
t = 2004
In year 2004 population of the country will be 311.
Answer:
ONE-THIRD OF A GALLON DIVIDED BY 3 GALLONS EQUALS ONE-NINTH
Step-by-step explanation:=1/9
Answer: 6 and 1/4
Step-by-step explanation: To solve this problem, we first leave 5/2 alone so don't do anything to it.
For our second fraction, we want to switch the numerator and the
denominator which means find the reciprocal of it.
The reciprocal of 2/5 is just the opposite of it when
you flip it and it's going to be 5/2.
Because we did the opposite there, we need to do the opposite
of division and the opposite of division is multiplication.
So now we have 5/2 × 5/2 which is 25/4 or 6 and 1/4.
