<span>since h=2t+3
i.e. at h=13 we find
13= 2t+3
i.e. 13-3= 2t
10=2t
i.e. t=10/2
i.e. t=5 days
similarly at h=27
we find
27= 2t+3
i.e. 27-3= 2t
24=2t
i.e.
t=24/2
i.e.
t=12 days
hence in 5 and 12 days the height of the tomato plant will be between 13 and 27 inches respectively.</span>
Answer:
115736.83
Step-by-step explanation:
Effective rate:
.07/12= .005833333333
Answer:
$3800
Step-by-step explanation:
When simple interest is added to the principal amount, the sum increases linearly with time. Essentially, you are asked for the y-intercept of a line that goes through the points (2, 6200) and (3, 7400). You can use the 2-point form of the equation of a line to find it:
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (7400 -6200)/(3 -2)(x -2) +6200 . . . . fill in given points
y = 1200(x -2) +6200 . . . . . . . . . simplify some
y = 1200x -2400 +6200 . . . . . . simplify more
y = 1200x +3800 . . . . . . . . . . . . . completely simplify
When the number of years (x) is zero, the amount is 3800. The principal is $3800.
_____
The account is earning $1200 per year on a principal of $3800. The interest rate is about 31.6%, an unusually high value.
_____
<em>Alternate solution</em>
You can recognize that the interest earned in one year is 7400 -6200 = 1200. Since this is simple interest, the amount of interest earned each year is the same, so in 3 years, the account has earned 3×$1200 = $3600 in interest. Then the original principal amount must be ...
$7400 -3600 = $3800 . . . . . principal amount
I really don’t know the answer to this question yet but ima get back to you on it.
1.30 represents the rate of growth of the mold spores. This decimal is a representation of the percentage growth, which would be 130%.
Since the function is written in terms of weeks, x will equal 4 to represent the amount of spores after 4 weeks. Plug the value into the function:
Rounded to the nearest ones value, there will be 985 mold spores after 4 weeks.
