The volume of triangular prism V = A * h.
So, V = 3.5*5 = 17.5 cubic inches
Answer:
m = 8
Step-by-step explanation:
5(m+5)=7m+9 (distribute & evaluate parenthesis)
5(m)+5(5)=7m+9
5m + 25 = 7m + 9 (move all m-terms to one side and constants to the other)
5m - 7m = 9 - 25 (evaluate both sides)
-2m = -16 (divide both sides by -2)
m = (-16) / ( -2) = 8
Answer:
Step-by-step explanation:
Given that in 1987, the population of country A was estimated at 87 million people, with an annual growth rate of 3.5%
Thus the equation for population for country A would be

The 1987 population of country B was estimated at 243 million with an annual growth rate of 0.6%.
So equation for population for country B would be
where t = time in years and P in millions
a) P(A) = 2*87 when

Take log and solve
ln 2 = 0.005 t
t = 138.63
Thus after 138 years population will double for A
b) P(A) = P(B) when

Approximately after 35.5 years the populations of both countries would be equal.
The point-slope form:

We have the points
and
.
Substitute:

The standard form: Ax + By = C

Answer: 9.9 years.
Step-by-step explanation:
If interest is compounded continuously, then formula to compute final amount A =
, where P =initial amount, r= rate of interest , t=time.
Given: P= $61,000, r= 1.9% =0.019 , A = $ 73600
Substitute all values in formula

Taking natural log on both sides

Hence, the required time = 9.9 years.