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3241004551 [841]

3 years ago

5

How long will it take an investment to double in value if the interest rate is 10% compounded continuously? (round your answer t

o two decimal places.)?

1 answer:

Varvara68 [4.7K]3 years ago

8 0

Assumed
PW as 100
FW as twice PW as 200

answer is 7.27254 years

manually take the log of both sides and solve for n

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Answer and or help would be much appreciated work is due and needs to be submitted

riadik2000 [5.3K]

Answer:

1. D

2. C

3. B

4. A

Step-by-step explanation:

just match up the number y is on the right side and x on the left side like this (x,y)

4 0

3 years ago

Will mark brainliest! Questions are in the picture!

alexdok [17]

Answer:

52.9 inches .

Step-by-step explanation:

Given that the triangular indentation has an area of 100 in.² and the base and height of this traingle are represented by expressions 3x and x+3 respectively . We need to find out the <u>perimeter </u>to the nearest tenth.

As we know that the area of triangle is ,

$\rm\longrightarrow Area_{\triangle}=\dfrac{1}{2}(base)(height)$

Substituting the respective values,

$\rm\longrightarrow 100\ =\dfrac{1}{2}(x+3)(3x)\\\\\rm\longrightarrow 2(100) = 3x(x+3)\\\\\rm\longrightarrow200 = 3x^2+9x\\\\\rm\longrightarrow 3x^2+9x-200=0$

On using the <u>Quadratic</u><u> formula</u> , we have;

$\rm\longrightarrow x =\dfrac{-9\pm\sqrt{9^2-4(3)(-200)}}{2(3)} \\\\\rm\longrightarrow x =\dfrac{-9\pm \sqrt{81+1200}}{6}\\\\\rm\longrightarrow x =\dfrac{-9\pm \sqrt{1281}}{6}$

On simplifying above , we will get ,

$\rm\longrightarrow x = 6.802,-9.802$

Since sides can't be negative, therefore,

$\rm\longrightarrow\underline{\underline{ x =6.802}}$

Therefore ,

$\rm\longrightarrow Base = 3x =3(6.802)in = 20.406\ in\\$
$\rm\longrightarrow Height = x +3=6.802+3=9.802\ in$

Next let's find out the <u>hypotenuse </u>using Pythagoras theorem, as ;

$\rm\longrightarrow h=\sqrt{ b^2+p^2}\\$

$\rm\longrightarrow h =\sqrt{ (20.406)^2+(9.802)^2}\\$

$\rm\longrightarrow h =\sqrt{416.40+96.07}\\$

$\rm\longrightarrow h = 22.63\ in$

Now we may find perimeter as ,

$\rm\longrightarrow P = p + b + h \\$

$\rm\longrightarrow P = (22.63 + 9.802 + 20.406)in.$

$\\\rm\longrightarrow P = 52.89 \ in.\\$

$\rm\longrightarrow \underline{\underline{ Perimeter = 52.9\ in .}}$

8 0

2 years ago

An egg was dropped from a 36 foot ladder and took 2.4 seconds to hit the ground. How many feet did the egg travel in 1.5 seconds

ruslelena [56]

Answer:

22,5 ft

Step-by-step explanation:

36÷2,4×1,5=22,5

6 0

3 years ago

Niki makes the same payment every two months to pay off his $61,600 loan. The loan has an interest rate of 9.84%, compounded eve

mars1129 [50]

After a series of calculations, I found out that the interest he has to pay in total would be <span>$117,484.77.

You might use my answer in reviewing by using your solution also.

I hope my answer has come to your help. God bless and have a nice day ahead!
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6 0

3 years ago

Read 2 more answers

aev [14]

Answer:

See attachment.

a) y = -x + 2

b) (2,1)

Step-by-step explanation:

Explained in the attachment.

7 0

2 years ago