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emmasim [6.3K]
3 years ago
10

.

Mathematics
2 answers:
Darina [25.2K]3 years ago
7 0

Answer:

f(t) = 62 ⋅ 0.9953t


Step-by-step explanation:

The function decreases at a rate of 0.47%

That will mean, the initial value decreases by 0.47?

100% - 0.47% = 99.53%

The next value will be 99.53% of the initial value.

∴ 99.53% × 62 = 0.9953 × 62.

After a time t, the value will be:

0.9953t × 62

∴ Answer = 62 × 0.9953


hoa [83]3 years ago
6 0

Answer:

Option first is the correct answer

Step-by-step explanation:

Equation for the exponential function is given by

A= P(1-r)^t

where A is amount after t time

             P = initial amount

             r = rate of interest

If it is decreasing by rate of r%

Here in the question  initial value  is given to be 62   therefore P = 62

and rate  of decreasing is 0.47% which can be written as 0.0047 in decimal form

f(t) = 62(1-0.0047)^t

   f(t) = 62(0.9953)^t

Is the exponential function that satisfies the condition

therefore option first is the correct answer,

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i'm not sure

Step-by-step explanation:

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3 years ago
Draw the image of B(7,-4) under a reflection over x=2
lesantik [10]

Answer:

Put the green dot at the coordinates (-3, -4). Find -3 on the x-axis and go 4 down.

Step-by-step explanation:

Just move the blue dot five to the left, then five to the left again.

3 0
3 years ago
The area of a rectangle is 91 square inches. If the length of the rectangle is 1 less than twice its width, write an equation th
Ahat [919]

The following equation can be used to calculate the width, w, of the rectangle with the specified area: 2w²- w - 91 = 0.

<h3>What is a Rectangle's Area?</h3>

rectangle area = length width

Multiply the length by the width to obtain the area of a rectangle. The formula is as follows: A = L * W where A is the area, L denotes the length, W denotes the width, and * denotes multiplication. where A denotes area, s denotes side length, and implies multiply.

Given,

Rectangle area = 91 in.

2 w = width

The rectangle's length equals 2w - 1.

Using the area formula, the equation for calculating w would be: (2w - 1)(w) = 91.

2w² - w - 91 = 0

As a result, the equation for determining the width, w, of the rectangle with the specified area is: 2w² - w - 91 = 0.

To know more about area, visit:

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5 0
1 year ago
CAn y’all PLEASEEEEE help me?
Nimfa-mama [501]

Answer:

option A is correct answer......

6 0
2 years ago
Read 2 more answers
Identify the​ vertex, the axis of​ symmetry, the maximum or minimum​ value, and the range of the parabola for y=x^2+6x+13
charle [14.2K]

Answer:


Step-by-step explanation:

First we can determine the x value of our vertex via the equation:

x=\frac{-b}{2a}

Note that in general a quadratic equation is such that:

ax^2+bx+c

In this case a,b and c are the coefficients and so a=1, b=6 and c=13.

Therefore we can determine the x component of the vertex by plugging in the values known and so:

x=\frac{-b}{2a}=\frac{-6}{2(1)}=\frac{-6}{2}=-3

Now we can determine the y-component of our vertex by plugging in the x-component to the equation and so:

f(x)=x^2+6x+13\\\\f(-3)=(-3)^2+6(-3)+13\\\\f(-3)=4

Therefore our vertex is (-3,4).  Now in vertex our x component determines is the axis of symmetry so the equation for axis of symmetry is:

x=-3

Similarly, the y-component of our vertex is the minimum or maximum.  In this case it is the minimum you can determine this because a is positive meaning that the parabola will point up, and so the equation for the  minimum is:

y=4

The range of the formula is the smallest y-value meaning the minimum y=4 and all real numbers that are more than 4, mathematically:

Range = All real numbers greater than or equal to 4.

4 0
4 years ago
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