Answer:
Step-by-step explanation:
The initial height of a Japanese maple sapling is 14 inches.
The tree is expected to grow 2.5 inches each month. This increase in height is linear, thus it is in arithmetic progression.
The expression for arithmetic progression is
Tn = a + (n-1)d
Where a = the first term of the series
d = common difference
Tn is the nth term of the series
n = the number of terms.
From the information given
a = 14 inches because it is the initial height of the tree
d = 2.5 because it is the difference in height between 2 consecutive months
n = m( number of months)
Tn = f(m)
function models the relationship between the height of the tree f(m) and the number of m months of growth will be
f(m) = 14 + 2.5(m-1)
To get the answer you need to multiply 1,000 by 7.15 then move your decimal to make it accurate and you should end up with 7150
Answer:
Step-by-step explanation:
we know that
The formula to calculate continuously compounded interest is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
e is the mathematical constant number
we have
substitute in the formula above and solve for t
Simplify
Apply ln both sides
![ln(1.12)=ln[(e)^{0.045t}]](https://tex.z-dn.net/?f=ln%281.12%29%3Dln%5B%28e%29%5E%7B0.045t%7D%5D)
Remember that
so
Answer:
FD = 25.94
Step-by-step explanation:
13x - 16 = 4x + 11 (Tangents drawn from an external point are equal)
13x - 4x = 11 + 16
9x = 27
x = 3
substituting x in 4x + 11,
4(3) + 11
12 + 11
23
ΔFED is a right triangle,
FD² = FE² + DE²
FD² = 12² + 23²
FD² = 144 + 529
FD² = 673
FD = 25.94
