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docker41 [41]
3 years ago
5

Parts of New Orleans is currently below sea level and continues to sink each year. NASA images shows that one part of the city i

s currently 6 feet(72 inches) below sea level. Each year it continues to sink 2 more inches. Write an expression to describe the depth of New Orleans after any given year.
Mathematics
1 answer:
I am Lyosha [343]3 years ago
4 0

Step-by-step explanation:

The Mathematical expression would be given as:

- (70 + 2n)

Where n represents any given year.

Negative sign is taken as it symbolises depth below sea level.

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Based on the interest rate and continuous compounding, the investment would double in value after 18.5 years.

We have given that,

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<h3>When will the investment double in value?</h3>

The future value using continuous compounding is:

= Amount x e ^ (rate x time)

Interest is

= 3.75%

<h3>What is the formula of an exponential function?</h3>

2 = e ^ (0.0375 x time)

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t = In2 / 0.0375

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2 years ago
-2x - 10 =15 help me plzzzz
Dima020 [189]

Answer:

x = -12.5

Step-by-step explanation:

Solve :  -2x - 10 =15

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3 years ago
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Select the two values of x that are roots of this equation 3x^2 + 1 =5x
Zina [86]

Answer:

x = 1.434 and x=0.232

Step-by-step explanation:

To find the root of the equation stated above we need to:

(1) Write the polynomial equation with zero on the right hand side:

3x^{2} + 1 = 5x ⇒ 3x^{2} -5x + 1 = 0

(2) Divide the whole equation by 3

3x^{2} -5x + 1 = 0 ⇒ x^{2} -\frac{5}{3}x + \frac{1}{3}= 0

(3) Use the quadratic formula to solve the quadratic equation:

The quadratic formula states that the two solutions for a quadratic equation is given by:

\frac{-b±\sqrt{b^{2} - 4ac}}{2a} (1)

In this case, a = 1, b = -\frac{5}{3}, c= \frac{1}{3}

Substituiting a, b and c in equation (1) We get:

\frac{-\frac{5}{3}±\sqrt{(-\frac{5}{3})^{2} - 4(1)(\frac{1}{3})}}{2(1)} (1)

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x = 1.434 and x=0.232

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What is the number of liters in 90 gallons
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