The area of a circle is 9pi square meters. What is the circumference?
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Efectúa la división de polinomios: 3x²-2x³-1 x + 2
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Answer: 3 laps
Step-by-step explanation:
To find out how many laps Andre swims per minute, we divide 12 by 4.
12/4 = 3
-4x - 5y - z = 18
-2x - 5y -2z=12
-2x + 5y +2z=4
A) (4,0,2)
B) (-4,0,-2)
C) (-4,2,0)
D) (-4,0,2)
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Answer:
B
Step-by-step explanation:
When we have multiple answers, we can check each to find the solution. Each ordered pair is written as (x,y,z). We substitute each into the equations to find which satisfy all equations and which do not.
A) (4,0,2)
-4(4)-5(0)-(2)=18
-16-0-2=18
Not a solution
B) (-4,0,-2)
-4(-4)-5(0)-(-2)=18
16-0+2=18
18=18 is true. We now try the other equations.
-2(-4)-5(0)-2(-2)=12
8-0+4=12
12=12
We try the last equation.
-2(-4)+5(0)+2(-2)=4
8+0+-4=4
4=4
We no longer need to try C or D because a system of equations only has one solution. B is the solution.
Answers
Answer: the initial deposit is $162.1
Step-by-step explanation:
The formula for continuously compounded interest is
A = P x e (r x t)
Where
A represents the future value of the investment after t years.
P represents the present value or initial amount invested
r represents the interest rate
t represents the time in years for which the investment was made.
e is the mathematical constant approximated as 2.7183.
From the information given,
r = 7% = 7/100 = 0.07
t = 3 years
A= $200
Therefore,
200 = P x 2.7183^(0.07 x 3)
200 = P x 1.234
P = 200/1.234
P = $162.1 to the nearest cent
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Answers
Final answer:
The list price of the toaster oven is $100.
Explanation:
To calculate the list price of the toaster oven, we need to find the original price before the 1/4 discount. Let's represent the list price as 'x'. Since the sale price is $75 and it is 1/4 off the list price, we can set up the equation: x - (1/4)x = $75. Simplifying this equation, we have: 3/4x = $75. To solve for x, we multiply both sides of the equation by the reciprocal of 3/4, which is 4/3: x = $75 × 4/3. Therefore, the list price of the toaster oven is $100.
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