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3 years ago

(This question is related to the picture question)

Mathematics

1 answer:

UNO [17]3 years ago

6 0

Answer:

5. $f(x) = 10,000 (1.5)^x$

Step-by-step explanation:

==>>We would have to multiply the original amount by 1.50^x because the initial amount would be 1, and 50% increase would be .5 so 1.5 and you raise it to the number of years to show the total increase.

Let's test it

Initial: 10,000

After 1 year

10,000 + (.5*10000)

10,000 + 5000 = 15,000

After 2 years

15,000 + (.5*15000)

15,000 + 7500 = 22,500

Let's try our equation.

$f(x) = 10,000 (1.5)^x$

$x=2$

$10,000(1.5)^2$

$10,000(2.25) = 22,500$

*Edit: I just seen that the question is related to the picture question

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3 years ago

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3 years ago

Solve 1.8c = 7.5 for c.

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4 years ago

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Which of these describes the system of linear equations below?

Nataly [62]

Given:

The system of equations is

$3x-2y=7$

$6x-4y=14$

To find:

The correct statement for the given system of equations.

Solution:

On comparing the given equations and general form of linear equation, i.e., $ax+by+c=0$ , we get

$a_1=3,b_1=-2,c_1=-7$

$a_2=6,b_2=-4,c_2=-14$

Here,

$\dfrac{a_1}{a_2}=\dfrac{3}{6}=\dfrac{1}{2}$

$\dfrac{b_1}{b_2}=\dfrac{-2}{-4}=\dfrac{1}{2}$

$\dfrac{c_1}{c_2}=\dfrac{-7}{-14}=\dfrac{1}{2}$

Since, $\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}$ , therefore, the two equations are equivalent and the system has infinitely many solutions.

Hence, the correct option is b.

4 0

3 years ago

Help me out please

saul85 [17]

The surface area of the geometric shape is B. 840 cm².

Step-by-step explanation:

Step 1:

The given figure is made up of three rectangles and two triangles.

The surface area of the geometric shape is given by summing the individual surface areas.

The geometric shape's surface area = The sum of the individual surface areas.

Step 2:

The surface area of the rectangles is the multiplication of its length and width.

The surface area of the rectangle with length z and width x $= (26)(10)= 260 cm^{2}$ .

The surface area of the rectangle with length y and width x $= (24)(10)= 240 cm^{2}$ .

The surface area of the rectangle with length x and width x $= (10)(10)= 100 cm^{2}$ .

Step 3:

The area of a triangle is half the product of its base length and height.

The surface area of a triangle with base y and height x $= \frac{1}{2} (24)(10) = 120 cm^{2}$ .

They are two similar triangles so their areas are equal

Step 4:

The geometric shape's surface area $= 160 + 240+100+120+120 = 840 cm^{2}$ .

So the surface area is option B. 840 cm².

5 0

3 years ago