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
Given:
The scientific notation of a number is
.
To find:
The standard form of the given number.
Solution:
Standard form: The normal way of writing a number is called standard form. For example: 200, 25600, 1025000 etc.
We have,

It can be written as


Therefore, the standard form of the given number is 130,000.
Answer:
shirt is 20.5 and sweater is 16.33
Step-by-step explanation:
Answer:
The answer to your question is c) y = (-2/3)x + 8/3
Step-by-step explanation:
Data
A (-2, 4)
B (1, 2)
Process
1.- Calculate the slope of the line
-Formula
m = (y2 - y1)/(x2 - x1)
x1 = -2 y1 = 4 x2 = 1 y2 = 2
-Substitution
m = (2 - 4) / (1 + 2)
-Simplification
m = -2/3
2.- Find the equation of the line
Formula
y - y1 = m(x - x1)
-Substitution
y - 4 = -2/3 (x + 2)
-Simplify
y - 4 = (-2/3)x - 4/3
y = (-2/3)x - 4/3 + 4
y = (-2/3)x - 4/3 + 12/3
-Result
y = (-2/3)x + 8/3