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3 years ago

A population of 422,000 increases by 12% each year. What is the approximate population after 5 years?

1 answer:

4 0

Here are formulas we choose from
Increasing: y = a (1 + r)x Decreasing: y = a(1 - r)x

we want increasing

422000(1+.12)^5
743,708 (you don't want the decimals because you can't divide a human...)

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The circumference of a circle is 113.04 centimetres. What is the circle's radius?

Drupady [299]

Answer:

18 centimeters

Step-by-step explanation:

Divide the circumference by π, or 3.14 for an estimation. The result is the circle's diameter.

Divide the diameter by 2.

There you go, you found the circle's radius

6 0

2 years ago

The function g(x) = p sin x +q, where p>0, has a maximum value of 10 and a minimum value of -4. Find the value of p and of q.

tester [92]

Answer: $p=7, q=3$

Step-by-step explanation:

The midline of the function is

$\frac{10-4}{2}=3 \implies q=3$

This means that to obtain a maximum of 10, when $\sin x$ reaches it's maximum, 1, $g(x)=p+q=10 \implies p=7$

7 0

1 year ago

Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AB = 8

Delicious77 [7]

Answer:

x = 32

Step-by-step explanation:

∠BCA = ∠DBA (90 - ∠DBC)

∠A = ∠A

ΔABD similar to ΔACB

AC/AB = AB/AD

x / 8 = 8 / 2

x = 32

4 0

2 years ago

Rich measured the height of a desk to be 80.7 cm. The actual height of the desk is 80 cm. What is Rich's percent error in this c

Hitman42 [59]

Answer:

0.9%

Step-by-step explanation:

We have been given that Rich measured the height of a desk to be 80.7 cm. The actual height of the desk is 80 cm.

We will use percentage error formula to solve our given problem.

$\text{Percentage error}=\frac{\text{Experimental value-Actual value }}{\text{Actual actual}}\times 100$

$\text{Percentage error}=\frac{80.7-80}{80}\times 100$

$\text{Percentage error}=\frac{0.7}{80}\times 100$

$\text{Percentage error}=0.00875\times 100$

$\text{Percentage error}=0.875\approx 0.9$

Therefore, Rich's percent error in calculation is 0.9%.

5 0

3 years ago

You design a tree house using a coordinate plane in which the coordinates are measured in feet. The vertices of the floor are (-

Tema [17]

Answer:

gregefdsgdsfgdfdgddg

Step-by-step explanation:

8 0

2 years ago