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3 years ago

Please help me I need help

Mathematics

1 answer:

Alisiya [41]3 years ago

8 0

Answer: 30 degrees

Step-by-step explanation:

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The light intensity I (in lumens) at a depth of x feet in Lake Elizabeth is given by the formula log (StartFraction Upper I Ove

antiseptic1488 [7]

Answer:

The light intensity at a depth of 24 feet is 3.0143 lumens.

The light intensity will be 7 lumenus at the depth of 9.3732 feet approximately.

Step-by-step explanation:

Consider the provided formula.

$log(\frac{I}{12})=-0.025x$

Where I is the intensity of light and x is the depth.

Part (A) Find the light intensity at a depth of 24 feet.

Substitute x=24 in above formula.

$log(\frac{I}{12})=-0.025(24)$

$log(\frac{I}{12})=-0.6$

$\frac{I}{12}=10^{-0.6}$

$\frac{I}{12}=0.2512$

$I=3.0143$

Hence, the light intensity at a depth of 24 feet is 3.0143 lumens.

Part (B) At what depth is the light intensity 7 lumens

Substitute I=7 in above formula.

$log(\frac{7}{12})=-0.025x$

$-0.23433=-0.025x$

$0.23433=0.025x$

$x=\frac{0.23433}{0.025}$

$x=9.3732$

Hence, the light intensity will be 7 lumenus at the depth of 9.3732 feet approximately.

3 0

3 years ago

1. Jeremy has $12000 cash to invest in the bank compounded at 4% interest annually.

gavmur [86]

Answer:

$A(x) = 12000(1.04)^x$

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

$A(t) = P(1 + \frac{r}{n})^{nt}$

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

$12000 cash

This means that $P = 12000$