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3 years ago

Solve the equation ln(1+x)=1+ln(x)

Mathematics

2 answers:

kifflom [539]3 years ago

4 0

Answer:

1/(e - 1)

Step-by-step explanation:

ln (1 + x) = 1 + ln (x)

ln (1 + x) - ln (x) = 1

ln ((1 + x)/x) = 1

(1 + x)/x = e = 1 + 1/x

x = 1/(e - 1)

Shkiper50 [21]3 years ago

3 0

Step-by-step explanation:

the explanations are in the image

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mr_godi [17]

The distance between the boat and the ocean's floor is 19m

<h3>How to get the distance from the ship to the ocean's floor?</h3>

We can see this as a right triangle, where the rope with the anchor is the hypotenuse. So we already know that the hypotenuse measures 30m.

We also know an angle, it measures 39°, and we want to get the opposite cathetus to said angle (the height).

Then we use the relation:

Sin(a) = (opposite cathetus)/(hypotenuse).

Replacing the values that we know, we get:

Sin(39°) = d/30m

sin(39°)*30m = d = 18.9m ≈ 19m

The distance between the boat and the ocean's floor is 19m.

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2 years ago

What is the value of y in the equation 4(5y –8 –2) = 185 –15?

Rina8888 [55]

In an equation the Left hand side must equal the right hand side 4(5y-8-2)=185-15 20y-32-8=170 20y=170+32+8 20y=210 Therefore y=10,5 When you substitute the 10,5 and solve it on the left and side it's equal to 170 which is the answer on the right hand side

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2 years ago

Alenkinab [10]

Answer:

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3 years ago

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Orlando has a loan with an effective interest rate of 7. 918%, compounded annually. Which of the following must be true? I. In t

svetlana [45]

The correct option is B, II. only.

Given to us,

I. In the effective rate formula, n is equal to one.

Effective interest rate formula,

$r = (1 + \dfrac{i}{n} )^n - 1.$

where,

r is the effective interest rate,

i is the stated interest rate,

n is the number of compounding periods per year.

According to the question the compounding periods per year is not given to us. Also, loans are taken for a longer period of time.

Thus, we can conclude that statement is false.

II. The nominal rate is 7. 918%.

nominal rate = real interest rate + inflation rate,

but as it is not mentioned in the question about the inflation rate. the statement is true to us. Assuming the inflation rate is 0%.

Thus, we can conclude that statement is true.

III. The Federal Funds Rate is static.

This statement is false, as the no information is given about this statement also this can not be concluded through assumption.

Thus, we can conclude that statement is false.

Hence, The correct option is B, II. only.

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