Step-by-step explanation:
Using the distance formula
√(x1-x2)²+(y1-y2)²
√(-3+5)²+(7-2)²
√(2)²+(5)²
√4+25
√29 units
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g(x), the new function, is shifted down 4 from the original f(x)=2x-1
Shifting down 4 is negative, so it would be subtracting 4 from the original
g(x)= 2x-1 -4
g(x) = 2x-5
Answer:
c
Step-by-step explanation:
look it up.................
Answer:
The total investment is $5020.19
Step-by-step explanation:
Given : $2150 invested at 5.3% for 16 years and compounded continuously
To find : What is the total investment?
Solution :
The formula of continuously compounded interest is

Where A = amount invested
P = principal = $2150
e = Euler's number (on calculator)
r = interest rate as decimal = 5.3%=0.053
t = time in years = 16 years
Substitute the value in the formula,





Therefore, Option 4 is correct.
The total investment is $5020.19.
Let x = the shorter piece and Let y = the longer piece.
(3/4)x = 120
x = 120 / (3/4)
x = 120 * (4/3 = 480/3) = 160 feet
y = 160 + 12