Find the value of x.

$6,000 dollars is invested in two different accounts earning 3% and 5% interest. at the end of one year, the two accounts earned

Anettt [7]

Answer-

$2000 were invested at 5%

Solution-

Let x amount of money was invested at 5% and (6000-x) amount was invested as 3%

We know that,

$i=\dfrac{P\cdot r\cdot t}{100}$

Putting the values,

$i_1=\dfrac{P_1\cdot r_1\cdot t}{100}$

$i_1=\dfrac{x\cdot 5\cdot 1}{100}=\dfrac{5x}{100}$

And

$i_2=\dfrac{P_2\cdot r_2\cdot t}{100}$

$i_2=\dfrac{(6000-x)\cdot 3\cdot 1}{100}=\dfrac{3(6000-x)}{100}$

According to the question,

$\Rightarrow \dfrac{5x}{100}+\dfrac{3(6000-x)}{100}=220$

$\Rightarrow \dfrac{5x+3(6000-x)}{100}=220$

$\Rightarrow 5x+3(6000-x)=22000$

$\Rightarrow 5x+18000-3x=22000$

$\Rightarrow 5x-3x=22000-18000$

$\Rightarrow 2x=4000$

$\Rightarrow x=2000$

Therefore, $2000 were invested at 5%

8 0

3 years ago

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mr. tuttle traveled 242 miles at the rate of 53 miles per hour how many hours did it take him to travel to his destination

Artist 52 [7]

Answer:

4.57 hours

Step-by-step explanation:

The equation $v = d/t$ is used.

since the time is to be found, 242 miles is divided by 53 miles/hr which gives 4.566 hours so if you round it up. It will be 4.57 hours or 4.6 hours.

5 0

3 years ago

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Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers. If necessary, use

geniusboy [140]

Answer:

The best measure of center for this data set is the median and its value expressed up to one decimal place is 37.50

Step-by-step explanation:

The best measure of center for this data set is the MEDIAN , and its value expressed up to one decimal place is 37.50.

We have given the data set gives the number of bottles filled by each of the workers in a bottling plant in one day.

The data set is:

{36, 18, 16, 28, 68, 35, 37, 66, 38, 40, 41, 44, 72, 29}

Let us find the median of this data set.

Arrange the values in ascending order:

{16,18,28,29,35,36,37,38,40,41,44,66,68,72}

Median = average of middle entries

Median = 37.5

Therefore the best measure of center for this data set is the median and its value expressed up to one decimal place is 37.50 ....

7 0

3 years ago

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Automobile license plates for a state consist of four letters followed by a dash and two single digits. How many different licen

Sauron [17]

The number of different license plate combinations that are possible if exactly one letter is repeated exactly once, but digits cannot be repeated is 8,424,000.

<h3>What is combination?</h3>

A combination is just a mathematical technique for determining the number of potential arrangements in a set of objects where the order of a selection is irrelevant.

You can choose the components in any order in combinations. Permutations and combinations are often mistaken.

Now according to the question,

Possible letter combinations

Choose any letter and make it a repeat letter = 26 ways

But, there are ⁴C₂ = 6 spots available for the identical letters.

And there are (25)×(24) other methods for selecting the other two letters.

The total amount of "words" equals ⁴C₂ × 26 × 25 × 24 = 93600.

Furthermore, because the numerals cannot be repeated = 10 × 9 = 90

So, the total number of choices = 93600 × 90 = 8,424,000

Therefore, the total combinations in which the letters can be chosen for the license plates is 8,424,000.

To know more about the combination, here

brainly.com/question/11732255

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4 0

1 year ago

What is the measure of angle z in this figure? Enter your answer in the box.

rjkz [21]

<z = 180 - 43
<z = 137

answer
<z = 137 degrees

3 0

4 years ago