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Rufina [12.5K]
2 years ago
9

Dave borrowed $400 to buy an MP3 player. He got a two-year loan, and the lender is charging 8% simple annual interest. How much

money will Dave have to pay back?
Mathematics
1 answer:
nataly862011 [7]2 years ago
5 0

Answer:

$464

Step-by-step explanation:

frickin nerds

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What is the scientific notation of 0.0121
jek_recluse [69]
You move to the right, so the exponent is gonna be negative.
1.21 * 10-²
6 0
2 years ago
PLEASE HEP ASAP!!!!!!! 30 POINTS!!!!!
anzhelika [568]

Answer:

a) 42°F < x < 176°F

b) The inequality graph is attached.

c) No, This is because at 20° F benzene would not be in liquid form but in solid form.

Step-by-step explanation:

According to the Question,

a) For the benzene to remain in liquid form, the temperature of benzene must be less than the boiling point and greater than the boiling point. Let x be the temperature of benzene, For benzene to remain as liquid, its temperature must be between:

42°F < x < 176°F

b) The inequality graph is attached. The graph shows that the temperature of benzene must be between 42°F and 176°F so that it would be a liquid. The Closed circles represent that it is greater than 2.

c) No, This is because at 20° F benzene would not be in liquid form but in solid form. Because the temperature cannot go below 42 before it freezes, she would not have been able to conduct her research .

5 0
2 years ago
The Fortune 500 is comprised of Fortune magazine's annual list of the finite population of the top 500 companies in the U.S. ran
Serjik [45]

Answer:

The standard error of the proportion is 0.0367.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the standard error is s = \sqrt{\frac{p(1-p)}{n}}

In this question:

p = 0.16, n = 100

So

s = \sqrt{\frac{0.16*0.84}{100}} = 0.0367

The standard error of the proportion is 0.0367.

4 0
1 year ago
Find Four Numbers that form a geometric progression such that the second term is less than the first by 35, and the third term i
Olegator [25]

Answer:

  • -35/3, -140/3, - 560/3, -2240/3
  • 7, -28, 112, - 448  

Step-by-step explanation:

<u>The terms are:</u>

  • a₁, a₂, a₃, a₄

<u>Given:</u>

  • a₁ = a₂ + 35
  • a₃ = a₄ + 560

<u>Use the nth term formula:</u>

  • a₂ = a₁r
  • a₃ = a₁r²
  • a₄ = a₁r³

<u>Substitute:</u>

  • a₁ = a₁r + 35 ⇒ a₁(1 - r) = 35
  • a₁r² = a₁r³ + 560  ⇒ a₁(1 - r)r² = 560

<u>Divide the second equation by the first:</u>

  • r² = 560/35
  • r² = 16
  • r = √16
  • r = ± 4

<u>Use the first equation to find the first term:</u>

  • a₁( 1 ± 4) = 35
  • 1. a₁ = 35/-3 = -35/3
  • 2. a₁ = 35/5 = 7

<u>We have two sequences:</u>

r = 4

  • -35/3, -140/3, - 560/3, -2240/3

r = -4

  • 7, -28, 112, - 448  
8 0
2 years ago
E) 340 people participated in a conference. If the ratio of ladies and gentleman is
mariarad [96]

Answer:

<em>There were 204 ladies and 136 gentlemen in the conference</em>

Step-by-step explanation:

Let's set the variables:

L = number of ladies in the conference

G = number of gentlemen in the conference

We know 340 people participated in the conference, thus:

L + G = 340         [1]

We are also given the ratio of ladies and gentleman as 3:2, thus:

L/G = 3/2

Cross-multiplying:

2L = 3G        [2]

From [1]:

L = 340 - G

Substituting in [2]:

2(340 - G) = 3G

Operating:

680 - 2G = 3G

5G = 680

G = 680/5 = 136

G = 136

L = 340 - 136 = 204

L = 204

There were 204 ladies and 136 gentlemen in the conference

7 0
1 year ago
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