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rodikova [14]
3 years ago
11

A buyer owes a supplier $820. The terms were 3/10, n/60. Within 10 days, the buyer sent in a payment of $140. How much is the ne

w balance? (Round your answers to the nearest hundredth)
Mathematics
1 answer:
Margaret [11]3 years ago
7 0

Answer:

The new balance is $675.8

Step-by-step explanation:

Solution

Given that

The total amount of loan = $820.

The terms were = 3/10, n/60

Within 10 days, the buyer sent in a payment of  =$140

What is the new balance =?

Now,

3/10 =  if the amount is paid in 10 days, a discount of is included

n/60 = This means that all amount should be paid within 60 days

Thus,

$140 for 3/10 as this is paid within 10 days

140 *3% = 140 * 3/100

we get

=$4.2 of discount

Then,

The balance amount becomes $ 820 - 140 -4.2

=$675.8

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A bag contains x blue chips and y red chips. If the probability of selecting a red chip at random is 3/7, then x/y = ________.A.
LUCKY_DIMON [66]

Answer:

D. \frac{4}{3}

Step-by-step explanation:

We have been given that a bag contains x blue chips and y red chips. The probability of selecting a red chip at random is 3/7. We are asked to find the \frac{x}{y}.

\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}

P(\text{Red})=\frac{\text{Number of red chips}}{\text{Total number of chips}}

P(\text{Red})=\frac{y}{x+y}

Since we are told that probability of selecting a red chip at random is 3/7, so red balls are 3 and total balls are 7:

P(\text{Red})=\frac{3}{x+3}

Since total balls are 7, so we will get:

x+3=7\\x=4

Upon substituting x=4\text{ and } y=3 in expression \frac{x}{y}, we will get:

\frac{4}{3}

Therefore, the value of \frac{x}{y} is \frac{4}{3} and option D is the correct choice.

7 0
3 years ago
Starting at 1:00 p.M., The temperature changes -4 degrees Fahrenheit per hour. Write and solve an equation to find how many hour
shutvik [7]

Answer: it will take 5 hours to reach -1 °F.

Step-by-step explanation:

The temperature changes -4 degrees Fahrenheit per hour. This is a linear rate. The rate at which the temperature is decreasing is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence(the starting point)

d represents the common difference.

n = x = the number of terms in the sequence(number of hours)

From the information given,

a = 0(at 1 pm, number of hours is 0)

d = - 4 degrees (it is decreasing)

Tn = -1 °F.

We want to determine the number of hours, x when Tn = -1 °F

Therefore,

- 1 = 0 + (x - 1)- 4

- 1 = - x + 4

x = 4 + 1

x = 5 hours

8 0
4 years ago
During a recent drought, a water utility in a certain town sampled 100 residential water bills and found that 80 of the residenc
Anastasy [175]

Answer: 0.893

Step-by-step explanation:

Given : Sample size of residential water bills: n=100

Number of residences had reduced their water consumption over that of the previous year = 80

Then sample proportion: \hat{p}=\dfrac{80}{100}=0.8

Critical value for 98% confidence= z_{\alpha/2}=2.326

The upper bound for confidence interval for population proportion :

\hat{p}+ z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

=0.8+ (2.326)\sqrt{\dfrac{0.8(1-0.8)}{100}}\\\\=0.8+0.09304=0.89304\approx0.893

Hence, the 98% upper confidence bound for the proportion of residences that reduced their water consumption.=0.893

4 0
3 years ago
What does y intercept mean ?​
stealth61 [152]

Answer: The vertical line on a graph representing the vertical coordinate points.

6 0
3 years ago
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Julio watched a movie that started at 11:30 a.m. And it ends at 2:12 p.m. how long was the movie ?
Vanyuwa [196]
The movie would be 2 hours and 42 minutes long!

I hope this helped! Mark me Brainliest if correct! :) -Raven❤️
7 0
4 years ago
Read 2 more answers
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