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1 year ago

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Carol's last credit card statement said that she had an account balance of -$106. Which of the following account balancesreprese

nts a debt greater than Carol's?ОА.$62ОВ.$150OC. -$62OD. -S150

1 answer:

AnnyKZ [126]1 year ago

5 0

A credit card balance is the total amount of money that you owe to your credit card company.

The debt balance on a debit card is greater if it is a smaller number.

Carol's balance in the question is -$106. The options are $62, $150, -$62, and -$150.

Of these options, only -$150 is a smaller number.

Therefore, OPTION D is the correct option.

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Is every percent a ratio? Is every ratio a percent?

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Yes every percent is a ratio and ever ratio is a percent Hope this helps

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In the equation y= -2x -3 over 5, identify the slope, the y-intercept, and whether the line is rising, falling, horizontal, or v

Hoochie [10]

Answer:

Slope = -2

y-intercept = -3/5

Falling

Step-by-step explanation:

$y= -2x - \frac{3}{5} \\ y = mx + b$

m = Slope = -2

y-intercept = b =

$- \frac{3}{5}$

The slope of the equation has a negative number so the graph is falling

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4 years ago

Simplify completely and find the restrictions on the variable.

MatroZZZ [7]

Answer:

$\displaystyle \frac{x + 2}{x + 9}, \ x \neq -9, \ 12$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

<u>Algebra I</u>

Terms/Coefficients
Factoring

<u>Algebra II</u>

Discontinuities
Domain Restrictions

Step-by-step explanation:

<u>Step 1: Define</u>

<u /> $\displaystyle \frac{x^2 - 10x - 24}{x^2 - 3x - 108}$ <u />

<u />

<u>Step 2: Simplify</u>

[Fraction] Factor numerator: $\displaystyle \frac{(x - 12)(x + 2)}{x^2 - 3x - 108}$
[Fraction] Factor denominator: $\displaystyle \frac{(x - 12)(x + 2)}{(x - 12)(x + 9)}$
[Fraction] Divide: $\displaystyle \frac{x + 2}{x + 9}$

We know that <em>x</em> cannot equal -9 because we would get a divide by 0 (undefined) error. We also know that <em>x</em> cannot equal 12 because it was canceled out when simplifying.

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3 years ago

Zarrin [17]

Answer:

easy A

Step-by-step explanation:

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3 years ago

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A biologist observed that a certain bacterial colony obeys the population growth law and that the colony triples every 4 hours.

MrRa [10]

Answer:

a) $P(t) = 2e^{0.275t}$

b) 54.225 square centimeters.

c) 2.52 hours

Step-by-step explanation:

The population growth law is:

$P(t) = P_{0}e^{rt}$

In which P(t) is the population after t hours, $P_{0}$ is the initial population and r is the growth rate, as a decimal.

In this problem, we have that:

The colony occupied 2 square centimeters initially, so $P_{0} = 2$

The colony triples every 4 hours. So

$P(4) = 3P_{0} = 6$

(a) An expression for the size P(t) of the colony at any time t.

We have to find the value of r. We can do this by using the P(4) equation.

$P(t) = P_{0}e^{rt}$

$6 = 2e^{4r}$

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Applying ln to both sides, we get:

$4r = 1.1$

$r = 0.275$

So

$P(t) = 2e^{0.275t}$

(b) The area occupied by the colony after 12 hours.

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$P(12) = 2e^{0.275*12}$

$P(12) = 54.225$

(c) The doubling time for the colony?

t when $P(t) = 2P_{0} = 2*2 = 4$ .

$P(t) = 2e^{0.275t}$

$4 = 2e^{0.275t}$

$e^{0.275t} = 2$

Applying ln to both sides

$0.275t = 0.6931$

$t = 2.52$

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3 years ago