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3 years ago

WRITE DOMAIN AND RANGE

Mathematics

1 answer:

slavikrds [6]3 years ago

6 0

DOMAIN AND RANGE. Boom I did it.

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A sum of $5000 is invested at an interest rate of 5% per year. Find the time required for the money to double if the interest is

Temka [501]

5000e^.05t=10000 solve

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3 years ago

A certain bridge arch is in the shape of half an ellipse 106 feet wide and 33.9 feet high. At what horizontal distance from the

nata0808 [166]

Answer:

The horizontal distance from the center is 49.3883 feet

Step-by-step explanation:

The equation of an ellipse is equal to:

$\frac{x^2}{a^{2} } +\frac{y^2}{b^{2} } =1$

Where a is the half of the wide, b is the high of the ellipse, x is the horizontal distance from the center and y is the height of the ellipse at that distance.

Then, replacing a by 106/2 and b by 33.9, we get:

$\frac{x^2}{53^{2} } +\frac{y^2}{33.9^{2} } =1\\\frac{x^2}{2809} +\frac{y^2}{1149.21} =1$

Therefore, the horizontal distances from the center of the arch where the height is equal to 12.3 feet is calculated replacing y by 12.3 and solving for x as:

$\frac{x^2}{2809} +\frac{y^2}{1149.21} =1\\\frac{x^2}{2809} +\frac{12.3^2}{1149.21} =1\\\\\frac{x^2}{2809}=1-\frac{12.3^2}{1149.21}\\\\x^{2} =2809(0.8684)\\x=\sqrt{2809(0.8684)}\\x=49.3883$

So, the horizontal distance from the center is 49.3883 feet

8 0

3 years ago

Find lcm of 14 and 28 in vertical method

guapka [62]

Answer:

Step-by-step explanation:

We will keep dividing by prime numbers until both are one (we will only consider whole divisions)

```

14 28 | 2

7 14 | 2

7 7 | 7

1 1

Now we multiply the left collumn, to get the LCM

2 * 2 * 7 = 28

And this was the vertical method, ok?

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3 years ago

Suppose the temperature outside is dropping 3 degrees each hour. How much will the temperature change in 8 hours

tester [92]

8 × 3 = 24 so it drops 24 degrees

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3 years ago

What is the answer to number 4?

Ugo [173]

I believe the right answer is b

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4 years ago