How do you write 1.52 × 101 in standard form?

A dress usually sells for $59.00. If the dress is 30% off, what is the total price of the dress (excluding tax)?

tensa zangetsu [6.8K]

59.00 x .30 = 17.70 discount from price. So the dress would be 59-17.70 and you'd get 41.30

8 0

3 years ago

Read 2 more answers

The price of an item yesterday was $180. Today, the price rose to $279. Find the percentage increase.

olga55 [171]

Answer: 55%

1. 279 - 180 = 99

2. 99 divided by 180 = 0.55

3. 0.55 x 100 is 55.

55 is the percentage

3 0

3 years ago

Read 2 more answers

Task 2 a. Do some research and find a city that has experienced population growth. Determine its population on January 1st of a

Galina-37 [17]

Exponential functions are functions defined by y = ab^x, where a represents the initial value, and b represents the rate

<h3>The equation of a city that has experienced a population growth</h3>

The initial population of the city is 10000, and the growth rate of the population is 4%.

So, the exponential equation is:

$y = 10000 * 1.04^x$

<h3>The equation of a city that has experienced a population decline</h3>

The initial population of the city is 12000, and the decay rate of the population is 3%.

So, the exponential equation is:

$y = 12000* 0.97^x$

<h3>The similarities in the equations</h3>

The similarity in both equations is that, they both represent exponential function.

<h3>The year the population of city A exceeds B</h3>

In (a) and (b), we have:

$y = 10000 * 1.04^x$ ---- city A

$y = 12000* 0.97^x$ --- city B

When city A exceeds city B, we have the following inequality

$10000 * 1.04^x > 12000 * 0.97^x$

Divide both sides by 10000

$1.04^x > 1.2 * 0.97^x$

Divide both sides by 0.97^x

$(\frac{1.04}{0.97})^x > 1.2$

$1.07^x > 1.2$

Take the natural logarithm of both sides

$\ln(1.07)^x > \ln(1.2)$

This gives

$x\ln(1.07) > \ln(1.2)$

Solve for x

$x > \frac{\ln(1.2)}{\ln(1.07)}$

$x > 2.69$

This means that, the population of city A will exceed city B after 3 years

<h3>The year the population of city A will be at least twice of city B</h3>

In (a) and (b), we have:

$y = 10000 * 1.04^x$ ---- city A

$y = 12000* 0.97^x$ --- city B

When city A is at least twice city B, we have the following inequality

$10000 * 1.04^x \ge 2 * 12000 * 0.97^x$

$10000 * 1.04^x \ge 24000 * 0.97^x$

Divide both sides by 10000

$1.04^x \ge 2.4 * 0.97^x$

Divide both sides by 0.97^x

$(\frac{1.04}{ 0.97})^x \ge 2.4$

$1.07^x \ge 2.4$

Take the natural logarithm of both sides

$\ln(1.07)^x \ge \ln(2.4)$

This gives

$x\ln(1.07) \ge \ln(2.4)$

Solve for x

$x\ge \frac{\ln(2.4)}{\ln(1.07) }$

$x\ge 12.9$

This means that, the population of city A will be at least twice city B after 13 years

Read more about exponential functions at:

brainly.com/question/11464095

3 0

3 years ago

What is 20% of 145 is what number

Crank

♥ Lets do this: X is 20% of 145
♥ Now our equation will look like this <span>x = 20% * 145
♥ </span>Converting percent to decimal:
♥ X = 20%/100 = 0.2
<span>♥ X = 0.2 * 14
♥ </span><span>X = 29
♥ Therefore 29 is 20% or 145
♥Hope this helps♥</span>

8 0

3 years ago

Read 2 more answers

Is (10,8) a solution of y =1/2x+3

maw [93]

Answer:

yes

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers