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3 years ago

Very confused on this.... have a test tomorrow

Mathematics

1 answer:

Lostsunrise [7]3 years ago

6 0

Answer:

ln(5/256)

Step-by-step explanation:

Step 1, do the stuff in parenthesis:

1/5 (2ln5 + 3ln5) - 8ln2 = 1/5 (5ln5) - 8ln2

Step 2, remove parenthesis and simplify:

1/5 (5ln5) - 8ln2 = ln5 - 8ln2

Step 3, use this formula-

8*ln2 = ln2^8 = ln256

-to get:

ln5 - 8ln2 = ln5 - ln256

Step 4, use another formula:

ln(A) - ln(B) = ln(A/B), so the answer is ln(5/256) TADA!

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Your water bill consists of five parts: A base hookup fee of $32.50, a water fee of $0.03 per gallon of water, a sewer fee of $0

Taya2010 [7]

You have to keep calm and to treat data as it come.

1 ) Start by constant fees :

hook up fees is 32.50 and trash collection fees are 35

so contant fees : 32.50 +35 = 67.50

2 ) Now we have to deal with variable fees which depend on how much water is used

water fees :

0.03 per gallon, and we have 4 000 gallon, so :

0.03*4 000 = 120

Sewer fees :

0.01 per gallon, and we have 4 000 gallon, so :

0.01 * 4000 = 40

3 ) Total before taxation we have :

67.50 +120 +40 = 227.5

4) Now we apply tax on the total before tax.

tax is 5 % , which mean you rise the "off tax " price by 5 percent.

To grow a number of X % , you multiply by 1+ X/ 100

here X = 5 so the multiplicator is : 1 + 5/100 = 1.05

So total of the bill is : 227.5 * 1.05 = 238.875

The water compagny is probably going to round it up to 238.88

4 0

1 year ago

Mary is spending money at the average rate of $5 per day. After 14 days she has $68 left. The amount left depends on the number

Radda [10]

Answer:

A. Y-68=-5(x-14)

Step-by-step explanation:

Mary is spending money at the average rate of $5 per day. After 14 days she has $68 left. The amount left depends on the number of days that have passed. write an equation for the situation

We find the equation using the point slope equation of a line. This is given as:

y - y1 = m(x-x1)

The slope intercept form will be

y = -5x + b

since the amount decreases by $5 per day...

Our slope is -5 so m=-5

We have a point (x1,y1) = (14, 68)

Hence, we have:

y-68 = -5(x-14)

Option A is correct

4 0

3 years ago

Which equation(s) have x = –3 as the solution? log3(2x + 15) = 2 log5(8x + 9) = 2 log4(–20x + 4) = 3 logx81 = 4

baherus [9]

Answer:

log_3(2x+15)=2 and log_4(-20x+4)=3

Step-by-step explanation:

Plug it in and see!

$log_3(2x+15)=2\\log_3(2(-3)+15)=2\\log_3(-6+15)=2\\log_3(9)=2\\\text{ This is a true equation because } 3^2=9\\\\\\log_5(8(-3)+9)=2\\log_5(-24+9)=2\\log_5(-15)=2\\\\\text{ Not true because you cannot do log of a negative number }\\\\log_4(-20(-3)+4)=3\\log_4(64)=3\\\text{ this is true because } 4^3=64\\\\\\log_x (81)=4\\log_{-3}(81)=4\\\text{ the base cannot be negative }\\\\\\\\\text{ There is only two options here} \\\\log_3(2x+15)=2 \text{ and } log_4(-20x+4)=3$