Check all of the points please

Mathematics

1 answer:

Westkost [7]3 years ago

5 0

The answers are C,D and E

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If Greg jogs 3/4 of a mile in 1/7 of an hour, what is his speed in miles per hour? Give your answer as an improper fraction, if

Veronika [31]

5.25 miles an hour approx

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3 years ago

Rosita invested in a precious mineral. The value of the mineral tends to increase by about 12% per year. She invests $24,000 in

Lerok [7]

Answer:

The Rosita investment worth in 2025 is $83486.4 .

Step-by-step explanation:

The expontential increase function is given by.

$y = a(1 + r)^{t}$

Where a is the initial value , r is the rate of interest in the decimal form and t is the time.

As given

Rosita invested in a precious mineral.

The value of the mineral tends to increase by about 12% per year.

She invests $24,000 in 2014.

a = 24000

12% is written in the decimal form.

$= \frac{12}{100}$

= 0.12

r = 0.12

As Rosita invested from 2014 to 2025.

Than

t = 2025 - 2014

t = 11 years

Put in the expontential increase function.

$y = 24000(1 + 0.12)^{11}$

$y = 24000(1.12)^{11}$

y = 24000 × 3.4786 (Approx)

y = $83486.4

Therefore the Rosita investment worth in 2025 is $83486.4 .

7 0

3 years ago

Xy=1 for x=2, dx/dt= -2 find dy/dt

dexar [7]

$\bf xy=1\iff y = \cfrac{1}{x}\iff y = x^{-1}\\\\
-----------------------------\\\\
\cfrac{dy}{dt}=-x^{-2}\cdot \cfrac{dx}{dt}\impliedby \textit{using the chain-rule}
\\\\\\
\left. \cfrac{dy}{dt}=-\cfrac{\frac{dx}{dt}}{x^2} \right|{
\begin{array}{llll}
x=2\\
\frac{dx}{dt}=-2
\end{array}}\implies \cfrac{dy}{dt}=-\cfrac{-2}{2^2}$