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3 years ago

11

suppose that the population of deer in a state is 1,500 and is growing 2% each year. Predict the population after 4 years

1 answer:

Neko [114]3 years ago

6 0

1500(1+0.02)^4=1,623.64824

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Andrew went to the store with $200.00. He bought 2 pair of shorts for $25.00 each, he bought 3 shirts for $22.00 each, and he bo

kap26 [50]

200-(25•2)=150
150-(22•3)=84
84-25=59
Andrew has $59 left

5 0

2 years ago

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Estimate 1.3 - (-2.5)

Helen [10]

Answer:

3.8

Step-by-step explanation:

8 0

3 years ago

A lampshade has a height of 12cm and upper and lower diameters of 10cm and 20cm A)what area of material is required to cover tha

netineya [11]

Answer:

$(a)\ Area = 195\pi$

$(b)\ Volume = 700\pi$

Step-by-step explanation:

Given

$h = 12$

$d_1 = 10$ --- lower diameter

$d_2 = 20$ --- upper diameter

Solving (a): The curved surface area

This is calculated as:

$Area = \pi l(r_1 + r_2)$

Where

$r_1 = 0.5 * d_1 = 0.5 * 10 = 5$ --- lower radius

$r_2 = 0.5 * d_2 = 0.5 * 20 = 10$ --- upper radius

And

$l = \sqrt{h^2 + (r_1 - r_2)^2$ ---- l represents the slant height of the frustrum

$l = \sqrt{12^2 + (5 - 10)^2$

$l = \sqrt{12^2 + (-5)^2$

$l = \sqrt{144 + 25$

$l = \sqrt{169$

$l = 13$

So, we have:

$Area = \pi l(r_1 + r_2)$

$Area = \pi * 13(5 + 10)$

$Area = \pi * 13(15)$

$Area = 195\pi$

Solving (b): The volume

This is calculated as:

$Volume = \frac{1}{3}\pi * h * (r_1^2 + r_2^2 + (r_1 * r_2))$

This gives:

$Volume = \frac{1}{3}\pi * 12 * (5^2 + 10^2 + (5 * 10))$

$Volume = \frac{1}{3}\pi * 12 * (25 + 100 + (50))$

$Volume = \frac{1}{3}\pi * 12 * (175)$

$Volume = \pi *4 * 175$

$Volume = 700\pi$

6 0

3 years ago

Use the distributive property to rewrite the expression 4(3.5 + 2.3).

Fed [463]

Step-by-step explanation:

4x 3.5 + 4x 2.3

14 + 9.2

= 23.2

6 0

2 years ago

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Contact [7]

Answer:

Yes

Step-by-step explanation:

Statement Reason

ab = bd Given

ac=cd Given

bc = cb definiton of reflex line

triangle abc is congruent to triangle dbc side side side postulate

7 0

3 years ago

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