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2 years ago

Can somoene help me with this question please

Mathematics

1 answer:

Alex2 years ago

7 0

Answer:

About 260 seconds

Step-by-step explanation:

Tha rate is:

A: 8L/1.66666m

b: 10L/1m (converted to litres)

Divide 2400 by those rates above which:

2400 / (8/1.66666) = 500

2400 / (10/1) = 240

500 - 240 = 260

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Solve for x. x/2+1= √3

podryga [215]

X=1.464102
Simplifies to: (1/2x)+1=1.732051

Step 1: Subtract 1 from both sides.
1/2x + 1 -1=1.732051-1
(1/2x)=0.732051

Step 2: Multiply both sides by 2
2*(1/2x) = (2) * (0.732051)
X=1.464102

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3 years ago

How long would it take to double your principal in an account that pays 6.5% annual interest compounded continuously? round your

prisoha [69]

It would take 10.7 years.

The formula for continuously compounded interest is:
$A=Pe^{rt}$
where P is the principal, r is the interest rate as a decimal number, and t is the number of years.

Using our information we have:
$A=Pe^{0.065t}$

We want to know when it will double the principal; therefore we substitute 2P for A and solve for t:
$2P=Pe^{0.065t}$

Divide both sides by P:
$\frac{2P}{P}=\frac{Pe^{0.065t}}{P}
\\
\\2=e^{0.065t}$

Take the natural log, ln, of each side to "undo" e:
$\ln{2}=\ln{e^{0.065t}}
\\
\\0.6931471806=0.065t$

Divide both sides by 0.065:
$\frac{0.6931471806}{0.065}=\frac{0.065t}{0.065}
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3 years ago

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Sholpan [36]

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3 years ago

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What is 4.7 times 10 to the negative third power (show your work)

Afina-wow [57]

Since we are working with an equation written in scientific notation and we are dealing with a negative exponent, we are going to divide 4.7 by 10 three times.

4.7 / 10 = 0.47

0.47 / 10 = 0.047

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3 years ago

The sum of two consecutive integers is 23. what are the integers?

Zepler [3.9K]

Let the consecutive integers be x and x+1.

Then,

x + (x + 1) = 23

=> x + x + 1 = 23

=> 2x + 1 = 23

=> 2x = 23 - 1

=> 2x = 22

=> x = 22/2

=> x = 11

So, the integers are:

x = 11

and x + 1 = 11 + 1 = 12

So, the consecutive integers are 11 and 12.

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3 years ago