You want to make an investment in a continuously compounding account earning 5.8% interest. how many years will it take for your investment to double in value? round the natural log value to the nearest thousandth. round the answer to the nearest year. 27 years 8 years 34 years 12 years

Answers

Answer 1
Answer: For continuous compounding you'd use y=Pe^rt but to evaluate this problem you need a principle, or initial amount, which you haven't given.

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two angles are supplementary the first angle measures 40 degrees what is the measurement of the second angle
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How can I find the area of this figure?​

Answers

Answer:

Area = y² + 2x + 1

Step-by-step explanation:

You have to combine like terms:

The little square is 1 unit, so 1

The two bars are each worth x, so 2 * x = 2x

The big square is y²

The total area is the sum of all terms:

Area = y² + 2x + 1

-Chetan K

For a standard position angle determined by the point (x,y) what are the values of the trigonometric functions?. For the point (16,12) find sin theta and cos theta

Answers

First we must find the hypotenuse: 
c² = x² + y²
c² = 16² + 12²
c² = 256 + 144
c² = 400
c = √ 400
c = 20
sin t(theta) = y / c = 12/20 = 3 / 5
cos t(theta) = x / c = 16 / 20 = 4 / 5 

Simplify the ratio 40 : 28

Answers

10:7
40 and 28 are both divisible by 4. 40/4 is 10, and 28/4 is 7. 10 and 7 have no common factors, so the ratio is as simple as possible.

What are the roots of the polynomial equation x^3-7x=6x-12? a. –6, 6
b. –4, 1, 3
c. –3, –1, 4
d. 1, 3

Answers

Hello,

Answer B

P(x)=x^3-13x+12
P(1)=1-13+12=0 ==>1 is root
P(3)=3^3-13*3+12=0 ==>3 is root
P(-4)=(-4)^3-13*(-4)+12=0 is root

P(x)=(x-1)(x-3)(x+4)

Answer:

b

Step-by-step explanation:

At your job you're paid $50 per week plus $3 per sale at least how many saled do you need to make in order to have over $250

Answers

Answer:

savefor5 weeks

Step-by-step explanation:50+50+50+50+50=250


The lengths of the sides of a triangle are 7. and 10. If the length of the longest side of a similar triangle is 25. what is the length of the shortest side of this triangle?

Answers

Answer: 17.5

Step-by-step explanation:

7:10 = x:25

times both sides by 25

25(7/10) =x

than solve for x

X = 25 × (7/10)

X = 17.5