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likoan [24]
3 years ago
10

Solve the equation by using the basic properties of logarithms. ln(x+4)=-1

Mathematics
2 answers:
storchak [24]3 years ago
8 0

Answer:

-3.63

Step-by-step explanation:

amid [387]3 years ago
5 0

Write both sides as powers of e:

\ln(x+4)=-1\implies e^{\ln(x+4)}=e^{-1}\implies x+4=e^{-1}

since b^{\log_ba}=a. Then

x=e^{-1}-4\approx-3.63

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Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is
mihalych1998 [28]
Let's say the number of days library book is late is X, and the total fee is Y.

Liability charges $0.30 dollars as a fee for being 1 day late,

For being 1 day late, fee charge is: 1* $0.30
So, for X days the charge would be: X*$0.30.

Total charge for being X days late is Y, Which means: Y= 0.30 * X.

Now We would have to check all the viable solutions in the answer to see if they satisfy the equation Y= 0.30 * X

Option one(-3, -0.9) and two (-2.5, -0.75) Would not be a viable solution because the value of number of days can not be negative and in option one and two, value of days -3 and -2.5 is negative.

Option three(4.5, 1.35) can not be correct because library charges fee for a full day so the number for days would be a whole number. Library would not charge for 4.5 days, they would either charge of 4 days or 5 days because 4.5 is not an whole number.


Option four(8, 2.40) is the correct answer because it satisfies our equation;

Y= 0.30 * X

2.40= 0.30 * 8

2.40 = 2.40.


Fourth option (8, 2.40) is the only viable solution to this question.
6 0
2 years ago
You invested $6,500 in an account that pays 6 percent simple interest. how much more could you have earned over a 10-year period
Klio2033 [76]
6500(1.06^10)-10(6500*.06)+6500=$1240.51

6 0
3 years ago
a dress store is having a sale where all merchandise is 1/4 off. a women buys $54 of merchandise at the sale price what would sh
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The regular price would be $216

Hope this helps
5 0
3 years ago
Need urgent help in mathematics!! Will mark brainliest!!!!
Marina86 [1]

₆C₃ is a combination.  you can find this setting in the statistics menu of your scientific calculator (i think).

If you don't have a scientific calculator, you can use the following formula:

nCr = \frac{n!}{r!(n - r)!}

₆C₃  = \frac{6!}{3!(6 - 3)!}

       = \frac{6!}{3!(3)!}

       = \frac{6 * 5 * 4 * 3!}{3!(3)!}

       =  \frac{6 * 5 * 4 }{3 * 2}

       = 5 * 4

      = 20

Answer: B


7 0
3 years ago
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