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3 years ago

Find the exponential function that satisfies the given conditions: Initial value = 70, decreasing at a rate of 0.5% per week

Mathematics

2 answers:

sdas [7]3 years ago

6 0

Y = 70 e^(.005x) where x is the time in weeks

astra-53 [7]3 years ago

4 0

Answer:

f(t) = 70 ⋅ 0.995^t

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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. The table shows a p

topjm [15]

What is the question ????????????

8 0

3 years ago

Read 2 more answers

Solve for x.

konstantin123 [22]

Answer:

The value of x = 9

Step-by-step explanation:

Angle Bisector Theorem

An angle bisector of a triangle would cut the opposite side into two segments that are proportional to the other two sides of the triangle.

Thus,

$\frac{x}{15}=\:\frac{12}{20}$

Cross Multiply the expression

$\:20\times x=12\times 15$

Divide both sides by 20

$\frac{20x }{20}=\frac{180}{20}$

$x=9$

Therefore, the value of x = 9

5 0

3 years ago

Discussion for Applications of Linear Systems

Lostsunrise [7]

Step-by-step explanation:

There are certain methods for solving a system of equations. Some of which are:

Substitution Method
Elimination Method
Graphing Method

Substitution Method

Substitution method to solve a system of equations is suitable if a variable of a any equation seems isolated or could comfortably be isolated without any ration/fraction resulting.

For example, for the following system of equations

x - 2y = 11....[A]

x = 5 - y....[B]

substituting the value of x = 5 - y from equation [B] into equation [A], so that

(5 - y) - 2y = 11

5 - y - 2y = 11

3y = -6

y = -2

Elimination Method

Elimination method to solve a system of equations is suitable if both equation are in standard form, and just adding or subtracting the equations to determine an equation in one variable.

For example, for the following system of equations

2x + 7y = -5....[C]

5x - 7y = 12....[D]

Adding Equation [C] and Equation [D].

7x + 0 = 7

x = 1

Graphing Method

Sometimes graphing method may be used to solve the system of the equation and visualize the solution.

For example,

y = -2....[E]

y = 3x + 1....[F]

The solution for this system of equation is the point of intersection of both the lines, which is shown in attached figure. The point of intersection is (-1, -2).

Hence, the solution of this system of equations is (-1, -2), as shown in attached figure.

Keywords: system of equations, elimination method, substitution method, graphing method

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