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2 years ago

Gabriel invested $77,000 in an account paying an interest rate of 3%

Mathematics

1 answer:

const2013 [10]2 years ago

7 0

Answer:

Isabella earn $5604.54$ more money than Gabriel

Step-by-step explanation:

As we know

Compound interest (CI) $= P (1 + \frac{r}{n})^{nt}$

P is the principal amount

t is the time period

n is the number of time periods

r is the rate of interest

a) CI for Gabriel

$= 77000 (1 + \frac{3}{100*12})^{12*6}$ $= 92165.03$ dollars

b) CI for Isabella

$= 77000 (1 + \frac{4}{100*4})^{4*6}$ $= 97769.57$ dollars

Isabella earn $5604.54$ more money than Gabriel

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uysha [10]

Answer:

15.87% is the chance that Scott takes more than 4.25 minutes to solve a problem at an academic bowl.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 4 minutes

Standard Deviation, σ = 0.25 minutes

We standardize the given data.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

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$P( x > 4.25) = P( z > \displaystyle\frac{4.25 - 4}{0.25}) = P(z > 1)$

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Calculation the value from standard normal z table, we have,

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Thus,15.87% is the chance that Scott takes more than 4.25 minutes to solve a problem at an academic bowl.

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2 years ago

Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t

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Answer: The volume of largest rectangular box is 4.5 units.

Step-by-step explanation:

Since we have given that

Volume = $xyz$

with subject to $x+2y+3z=9$

So, let $z=\dfrac{9-x-2y}{3}$

So, Volume becomes,

$V=xyz\\\\V=xy(\dfrac{9-x-2y}{3})\\\\V=\dfrac{9xy-x^2y-2xy^2}{3}$

Partially derivative wrt x and y we get that

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By solving these two equations, we get that

$x=3,y=\dfrac{3}{2}$

So, $z=\dfrac{9-x-2y}{3}=\dfrac{9-3-3}{3}=\dfrac{3}{3}=1$

So, Volume of largest rectangular box would be

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Hence, the volume of largest rectangular box is 4.5 units.

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Answer:

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