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3 years ago

Jayden invested $22,000 in an account paying an interest rate of 2.5% compounded

Mathematics

1 answer:

Gemiola [76]3 years ago

3 0

Answer:

12.9

Step-by-step explanation:

30400=

\,\,22000e^{0.025t}

22000e

0.025t

Plug in

\frac{30400}{22000}=

22000

30400

\,\,\frac{22000e^{0.025t}}{22000}

22000

22000e

0.025t

Divide by 22000

1.3818182=

\,\,e^{0.025t}

0.025t

\ln\left(1.3818182\right)=

ln(1.3818182)=

\,\,\ln\left(e^{0.025t}\right)

ln(e

0.025t

)

Take the natural log of both sides

\ln\left(1.3818182\right)=

ln(1.3818182)=

\,\,0.025t

0.025t

ln cancels the e

\frac{\ln\left(1.3818182\right)}{0.025}=

0.025

ln(1.3818182)

\,\,\frac{0.025t}{0.025}

0.025

0.025t

Divide by 0.025

12.9360062=

12.9360062=t

t = 12.9

12.9

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if the volume of a storage room is 24 cubic feet its length is 3 feet and its width is 2 feet what is the height

viva [34]

Answer:

Step-by-step explanation:

V = L*w*h

L = 3

w = 2

h = ?

V = 24

24 = 2*3 * h Combine the right

24 = 6* h Divide both sides by 6

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4 = h

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2 years ago

Please help I think I picked the wrong answer !!

insens350 [35]

Answer:

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Step-by-step explanation:

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3 years ago

line segment with one endpoint at (2,5) is divided in the ratio 4:5 by the point (10,1). which coordinates could represent the o

rodikova [14]

Answer:

(20,-4)

Step-by-step explanation:

We are given;

One end point as (2,5)

Point of division as (10,1)

The ratio of division as 4:5

We are required to calculate the other endpoint.

Assuming the other endpoint is (x,y)

Using the ratio theorem

If the unknown endpoint is the last point on the line segment;

Then;

$\left[\begin{array}{ccc}10\\1\end{array}\right]$ = $\frac{4}{5} \left[\begin{array}{ccc}x\\y\end{array}\right]$ + $\frac{5}{9}\left[\begin{array}{ccc}2\\5\end{array}\right]$