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Vikentia [17]
3 years ago
12

Suppose $2000 is invested at 9% interest compounded continuously. How long will it take for the investment to grow to $10,000? U

se the model A ( T ) = P e^rt and round to the nearest tenth of a year.
It will take approximately ____ years for the investment to grow to $10,000.
.
Mathematics
1 answer:
Lady bird [3.3K]3 years ago
4 0

Answer:

7

Step-by-step explanation:

sing the equation         >    A  =  Pe^rt

20000  =    10000e^0.1t    >       10%  =  0.1

2  = e^0.1t

log 2  =    log e^0.1t               >     log to the base e

log 2  =  0.1t * 1              log e to the base e  =1

0.6931 = 0.1t

t =   6.931

  =    7 years

Hope this helps <3

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3+D=Q

10D+25Q=1090

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4 0
3 years ago
Read 2 more answers
I need help n explainnnn please ​
kobusy [5.1K]

The Correct option is D). y=1x+1 And y=2x+2

Step-by-step explanation:

The equation of a line is given as y=mx+c.

where m=slope of line and c=y intercept

The slope of line is given as  m=\frac{(Y2-Y1)}{(X2-X1)}

Solving for Redline:

From the given graph, redline passes through (-1,0) and (0,1)

The slope of Redline is  m=\frac{(Y2-Y1)}{(X2-X1)}

The slope of Redline is  m=\frac{(1-0)}{(0-(-1))}

The slope of Redline is  m=(1)

And Y-intercept is 1

The equation of a Redline is given as y=1x+1

Solving for Blue-line:

From the given graph, Blue-line passes through (-1,0) and (0,2)

The slope of Blue-line is  m=\frac{(Y2-Y1)}{(X2-X1)}

The slope of Blue-line is  m=\frac{(2-0)}{(0-(-1))}

The slope of Blue-line is  m=(2)

And Y-intercept is 2

The equation of a Blue-line is given as y=2x+2

The Correct option is D). y=1x+1 And y=2x+2

7 0
3 years ago
A scale model of a human heart is 190 Inches long. The scale is 34 to 1. How many Inches long is the actual
Alika [10]

Answer:

6 inches long

Step-by-step explanation:

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x= 5.588235294

rounded to the nearest whole number is 6

6 0
3 years ago
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satela [25.4K]

Answer: 7.3x + 5

Step-by-step explanation:

For us to solve the question, we have to solve 5.2x+8+2.1x-3 and the answer gotten will allow us know the equivalent expression.

= 5.2x+8+2.1x-3

= 5.2x + 2.1x + 8 - 3

= 7.3x + 5

Therefore, the correct answer is 7.3x + 5

7 0
3 years ago
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Mashutka [201]

No Alan did not break even

Alan incured a loss of 6.25 %

<em><u>Solution:</u></em>

Given that,

Alan bought two bikes

He sold one to Beth for $300 taking a 25% loss

He also sold one to Greta for $300 making a 25% profit

When a person sells two similar items, one at a gain of say x%, and the other at a loss of x%, then the seller always incurs a loss

Which is given as:

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Here, x = 25

loss\ \% = (\frac{25}{10})^2\\\\loss\ \% = 2.5^2\\\\loss\ \% = 6.25

Thus the loss percentage is 6.25 %

8 0
3 years ago
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