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Gnesinka [82]
3 years ago
6

Dana deposits $1000 into a savings account. Suppose she withdraws 1/10 of her balance each month. Write an exponential decay equ

ation to model this simulation. What will be dana's balance in five months?
Mathematics
1 answer:
AnnZ [28]3 years ago
8 0
1000x-100m 1000x is the the staring amount and the m is the amount you take out a month
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3x - 4y - 1=0
olchik [2.2K]

Answer:

  solvable

Step-by-step explanation:

The coefficients of x and y have different ratios, so the equations are solvable.

__

The solution is (x, y) = (7/15, 1/10).

3 0
3 years ago
Tell whether the ordered pair is a solution of the given system. (-2,-4) {y=1/2x -3, y=-2x-8}
kompoz [17]

Answer:

The ordered pair (-2,\, -4) is indeed a solution to the system:

\left\lbrace\begin{aligned} & y = \frac{1}{2}\, x - 3 \\ & y = -2\, x - 8\end{aligned}\right..

Step-by-step explanation:

Consider a system of equations about variables x and y. An ordered pair (x_{0},\, y_{0}) (where x_{0} and y_{0} are constant) is a solution to that system if and only if all equations in that system hold after substituting in x = x_{0} and y = y_{0}.

For the system in this question, (-2,\, -4) would be a solution only if both equations in the system hold after replacing all x in equations of the system with (-2) and all y with (-4).

The \texttt{LHS} of the equation y = (1/2)\, x - 3 would become (-4). The \texttt{RHS} of that equation would become (1/2) \, (-2) - 3. The two sides are indeed equal.

Similarly, the \texttt{LHS} of the equation y = -2\, x - 8 would become (-4). The \texttt{RHS} of that equation would become (-2)\, (-2) - 8. The two sides are indeed equal.

Thus, x = (-2) and y = (-4) simultaneously satisfy both equations of the given system. Therefore, the ordered pair (-2,\, -4) would indeed be a solution to that system.

8 0
2 years ago
What is the area of a square with a side lenght of 3/8 inches?
allochka39001 [22]

Answer:0.140625

Step-by-step explanation:

Area of square =length times width

3/8 * 3/8=0.140625

6 0
3 years ago
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If f(x) = 2x +4, which of the following is the inverse of f(x)?
netineya [11]
The inverse for f(x)=2x+4 is f-1(x)= x/2 -2
3 0
3 years ago
What is the volume and total surface area of a sphere with the radius 2.25in?
alexira [117]
The volume is 15.89625
6 0
3 years ago
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