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emmainna [20.7K]
3 years ago
8

There are 4 consecutive integers that have a sum of 30. What is the greatest of these integers?

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
8 0

Answer:

9

Step-by-step explanation:

30÷2=15

15÷2=7

(6,7,8,9)

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You get a $125.85 discount on a TV that originally cost $945. What percent
FrozenT [24]

Answer:

13.317%

Step-by-step explanation:

discount / original cost = percent off

125.85/945 = .133174603

Changing to decimal form

                    13.317%

6 0
3 years ago
Sung Lee invests $5,000 at age 18. He hopes the investment will be worth $20,000 when he turns 25. If the interest compounds con
Temka [501]

Answer:

19.8%

Step-by-step explanation:

We have the following formula for continuous compound interest:

A = P * e ^ (i * t)

Where:

A is the final value

P is the initial investment

i is the interest rate in decimal

t is time.

The time can be calculated as follows:

25 - 18 = 7

That is, the time corresponds to 7 years. In addition, A is 20,000 for A and P would be 5,000, we replace:

20000 = 5000 * e ^ (7 * i)

20000/5000 = e ^ (7 * i)

e ^ (7 * i) = 4

ln e ^ (7 * i) = ln 4

7 * i = ln 4

i = (ln 4) / 7

i = 0.198

Which means that the rounded percentage will be 19.8% per year

3 0
3 years ago
A parabola opens up and passes through (-4, 2) and (6, -3). How do you know that (-4, 2) is not the vertex
Ainat [17]

Answer:

Step-by-step explanation:

The minimum is at the vertex of this parabola because it opens up.

Now if (-4, 2) is the minimum then  all the y values on the parabola must be > 2,

But we are given that  y = -3 is on the graph ( the point (6,-3) - that is y < 2 here,

Therefore (-4, 2)  cannot be the vertex .

4 0
2 years ago
If a shop earns a profit of 1300 on every heater sold and incurs a loss of 1800 on every fan sold, find out its total profit/ lo
erastovalidia [21]

Answer:

Total profit is 26,900.

Explanation

If the profit for selling a heater is 1300 than the profit of selling 25 heaters is 32500.

If the loss of selling a fan is 800 than the loss of selling 7 fan is 5600.

Minus 32500 with 5600 to get the profit.

26,900

5 0
3 years ago
Choose the right answer.
kramer

Answer:

In this section, we discuss box-and-whisker plots and the five key values. The key values are called a five-number summary, which consists of the minimum, first quartile, the set is put into increasing order, divides the data into two equal parts. First, we put the values in the data set into increasing order: 3, 5, 7, 8, 12, 13, the middle score for a set of data that has been arranged in order from least to greatest. A box-and-whisker plot shows the distribution of a set of data along with... Quartiles are values that divide a set of data into four equal parts. The second Quartile ( designated Q2) also called the median or the 50th percentile (cuts data set in half ).

Step-by-step explanation:

5 0
3 years ago
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