Which expression is equivalent to 5x-30?

The following table gives annual life insurance premiums per $1,000 of face value. Use the table to determine the face value of

Kitty [74]

Answer:

the answer is c.

$85,274.94

Step-by-step explanation:

on edge

3 0

3 years ago

Solve the inequality for x 3^(6x+18)<27^(3x)

Lera25 [3.4K]

Answer:

$\displaystyle x > 6$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients
Factoring

Algebra II

Exponential Rule [Powering]: $\displaystyle (b^m)^n = b^{m \cdot n}$
Solving exponential equations

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle 3^{6x + 18} < 27^{3x}$

Step 2: Solve for x

Rewrite: $\displaystyle 3^{6x + 18} < 3^{3(3x)}$
Set: $\displaystyle 6x + 18 < 3(3x)$
Factor: $\displaystyle 3(2x + 6) < 3(3x)$
[Division Property of Equality] Divide 3 on both sides: $\displaystyle 2x + 6 < 3x$
[Subtraction Property of Equality] Subtract 3x on both sides: $\displaystyle -x + 6 < 0$
[Subtraction Property of Equality] Subtract 6 on both sides: $\displaystyle -x < -6$
[Division Property of Equality] Divide -1 on both sides: $\displaystyle x > 6$

8 0

3 years ago

Read 2 more answers

Jimmy owns a small engine repair business. The revenue, in dollars, can be modeled by the equation y = 420 + 72x, where x is the

kozerog [31]

Answer:

5 hours

Step-by-step explanation:

Given

$y = 420 + 72x$ --- Revenue

$y = 24x^2 + 180$ --- Overhead cost

Required

Determine the hours for break even

To do this, we simply equate both expressions as follows:

$24x^2 + 180 = 420 + 72x$

Collect Like Terms

$24x^2 - 72x + 180 - 420 = 0$

$24x^2 - 72x -240 = 0$

Divide through 24

$x^2 - 3x - 10 = 0$

Expand:

$x^2 -5x + 2x -10 = 0$

Factorize:

$x(x -5) + 2(x -5) = 0$

$(x + 2)(x -5) = 0$

$x + 2 = 0\ or\ x - 5 = 0$

$x = -2\ or\ x = 5$

But x can't be negative because it represents time.

So, x = 5 hours

3 0

3 years ago

What is 11 divided by 2872?

ira [324]

261.09090909090909090901

3 0

3 years ago

Read 2 more answers

The average daily high temperature in June in LA is 77 degree F with a standard deviation of 5 degree F. Suppose that the temper

olasank [31]

Answer:

11.51% probability of observing an 83 degree F temperature or higher LA during a randomly chosen day in June

The coldest 10% of the days during June in LA have high temperatures of 70.6F or lower.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 77, \sigma = 5$