the expression 1000(1.1)^t represents the value of a $1000 investment that earns 10% interest per year, compounded annually for
1 answer:
Answer:
Year 1: $1,100
Year 2: $ 1,210
Step-by-step explanation:
The given expresion is:
This represents the value of a $1000 investment that earns 10% interest per year, compounded annually for 2 years.
To find the value of a $1000 investment at the end of the first year , we substitute t=1.
To find the value of a $1000 investment at the end of the second year , we substitute t=2.
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I will first reveal the most obvious secret of trig: Most of the problems are 30/60/90 or 45/45/90 triangles of some sort.
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has solutions
integer 
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.
integer
In the range we want, that's
with the plus sign and 
with the minus, so
or 
or 
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Continuing where we left off, a cosine of -1/2 is a 30/60/90 triangle in the second or third quadrant; we pick second, and a little thought tells us the angle is
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Answer:
f(x) = 5x - 5
Step-by-step explanation:
Let the equation of the linear function is,
f(x) = mx + b
Here, m = Slope of the graph
b = y-intercept
Slope of the line passing through and
is given by,
m =
From the table attached,
Slope of the line passing through (2, 5) and (6, 25) will be,
m =
m = 5
Equation of the linear function will be,
f(x) = 5x + b
Since, a point (10, 45) lies on the function,
45 = 5(10) + b
b = 45 - 50
b = -5
Equation of the linear function will be,
f(x) = 5x - 5