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3 years ago

Need help with #11. The answer is about 13.86 years but show work please.

Mathematics

1 answer:

tangare [24]3 years ago

6 0

Answer:

13.86

Step-by-step explanation:

formula for cont. compounding interest is

Amount = Principal * e^rt

in this case the principal is 5000, and the amount is 10000 (double). the rate is 5% or 0.05. and t is what we are solving for.

sub in to get:

10000 = 5000e^0.05t

2 = e^0.05t

now convert to log form.

ln 2 = 0.05t

ln 2 / 0.05 = t

punch that into your calculator and you get 13.86 years

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Increase 840 in the ratio 2 : 3

Iteru [2.4K]

Ratios be 2x and 3x

$\\ \rm\longmapsto 2x+3x=840$

$\\ \rm\longmapsto 5x=840$

$\\ \rm\longmapsto x=\dfrac{840}{5}$

$\\ \rm\longmapsto x=168$

Now

2x=2(168)=336
3x=3(168)=508

3 0

3 years ago

Read 2 more answers

An isosceles triangle has base angles that each measure 39 °. Which equation can be used to fi nd t, the measure of the third an

Montano1993 [528]

Answer: 102°

Step-by-step explanation:

First and foremost, we should note that an isosceles triangle has two sides that are equal and that the sum of angles in a triangle equals to 180°.

Since we are told that the isosceles triangle has base angles that each measure 39°, the third angle will be:

t + 39° + 39° = 180°

t + 78° = 180°

t = 180° - 78°

t = 102°

The third angle is 102°.

5 0

3 years ago

In the math problem, "450 is 75% of what number?" 450 is the ___.

Anni [7]

Answer:

600

Step-by-step explanation:

Since 3/4 of 100 is 75, we have to divide 450 by three.

450 ÷ 3 = 150

150 x 4 = 600

Hope this helps :)

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6 0

3 years ago

Read 2 more answers

At a recent county fair, you observed that at one stand people's weight was forecasted, and were surprised by the accuracy (with

MatroZZZ [7]

Answer:

a)Slope: $\hat \beta_1 =\frac{7625.9}{1248.9}=6.106$

Intercept: $\hat \beta_o = 157.955 -6.106 (69.686)=-267.548$

b) $r=\frac{7625.9}{\sqrt{[1248.9][94228.8]}}=0.657$

And the determination coeffecient is $r^2 = 0.657^2 =0.432$

Step-by-step explanation:

Data given and definitions

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"

When we conduct a multiple regression we want to know about the relationship between several independent or predictor variables and a dependent or criterion variable.

n=110, $\sum x_i y_i = \sum (X-\bar X)(Y-\bar Y) =7625.9,\sum x^2_i=\sum (x-\bar x)^2 =1248.9 , sum y^2_i=\sum(y-\bar y)^2 =94228.8$