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gayaneshka [121]
3 years ago
6

How much money invested at 5% compounded continuously for 3 years will yield at $820?

Mathematics
1 answer:
Oduvanchick [21]3 years ago
3 0

Answer:

Percentage of interest at which the money is invested = 5%

Time for which the money is invested = 3 years

The final amount after 3 years = $820

Let us assume the principal amount = x dollars

We can conclude that the principal amount invested was $708.35.


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(1 point) There were 23.7 million licensed drivers in California in 2009 and 22.76 million in 2004. Find a formula for the numbe
Salsk061 [2.6K]

Answer:

N(t) = 0.188t + 22.76

Step-by-step explanation:

Number of licensed drivers in 2004 = 22.76 million

Number of licensed drivers in 2009 = 23.7 million

Number of licensed drivers, N as a function of t since year 2004 ;

General form of a linear function :

y = mx + c

c = intercept ; m = slope

Intercept c = value of y ; when x = 0

Here, population after uerssmmx,

Hence,

In 2004 ;

22.76 = mx + c

x = 0

22.76 = c

Number in 2009

x = number of yesrs after 2004 ; x = 2000 - 2004 = 5years

We can find the slope :

y = m*5 + 22.76

y = 23.7 in 2009

23.7 = 5m + 22.76

23.7 - 22.76 = 5m

m = 0.94 / 5

m = 0.188

Hence, the linear function can be written as :

N(t) = 0.188t + 22.76

8 0
3 years ago
What type of triangle has side lengths 9, 10, and √130? A. obtuse B. not a triangle C. acute D. right
EastWind [94]

Answer: Option C.

Step-by-step explanation:

The lengths of our triangle are:

9, 10 and √130.

If the triangle is a triangle rectangle, by the Pitagoream's theorem we have:

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in this case H is the larger side, this must be √130.

then:

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81 + 100 = 130

This is false, so this is NOT a triangle rectangle, the hypotenuse is shorter than it should be.

Now, we have some kind of rule:

 if A^2 + B^2 = H^2 then we have one angle of 90° and two smaller ones. (triangle rectangle)

 if A^2 + B^2 > H^2 then all the angles are smaller than 90°, this is an acute triangle.

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(H is always the larger side, A and B are the two shorter ones).

In this case:

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3 0
3 years ago
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Answer:

The answer is d

Step-by-step explanation:

It would take 1 hour 44 minutes to travel the second road and 1 hour 42 minutes to travel the first road

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3 years ago
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4 + 3(10 - 23)

4 + 3 × (-13)

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