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goldfiish [28.3K]

3 years ago

13

A quantity with an initial value of 270 grows exponentially at a rate of 0.1% every 10 decades. What is the value of the quantit

y after 23 years, to the nearest hundredth

1 answer:

NARA [144]3 years ago

6 0

Answer:

270.06

How to solve:

Write a function:

f(t)=270(1+0.001)^{t/10}

23 years→23/10→2.3 decades

Plug in t=2.3

f(2.3)=270(1+0.001)^{2.3/10}

=270.062076106

≈270.06

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triangle on right is the same as the triangle on the left

use pythagorean theorem

hypotenuse will give to the sides of the rectangle

a^2 + b^2 = hypotenuse squared

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2 years ago

the solutions to the inequality y > −3x 2 are shaded on the graph. which point is a solution? a). (0, 2) b). (2, 0) c). (1, −

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we have

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we know that

If a point is a solution of the inequality, then the coordinates of the point must satisfy the inequality

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$x=0\\y=2$

Substitute the value of x and y in the inequality and verify

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<u>Case B)</u> Point $(2,0)$

$x=2\\y=0$

Substitute the value of x and y in the inequality and verify

$0> -3*2+2$

$0>-4$ -------> is true

therefore

the point $(2,0)$ is a solution of the inequality

<u>Case C)</u> Point $(1,-2)$

$x=1\\y=-2$

Substitute the value of x and y in the inequality and verify

$-2> -3*1+2$

$-2>-1$ -------> is not true

therefore

the point $(1,-2)$ is not a solution of the inequality

<u>Case D)</u> Point $(-2,1)$

$x=-2\\y=1$

Substitute the value of x and y in the inequality and verify

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$1>8$ -------> is not true

therefore

the point $(-2,1)$ is not a solution of the inequality

therefore

<u>the answer is the Point B</u>

$(2,0)$

To better understand the problem see the attached figure

7 0

2 years ago

Read 2 more answers