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I am Lyosha [343]
3 years ago
11

Will mark as brainliest

Mathematics
1 answer:
faust18 [17]3 years ago
4 0

Answer:

127.41

Step-by-step explanation:

side KJ equals 17 which corresponds to side NM which equals 57. These two triangles are similar which means the bigger triangle will be the smaller triangle but enlarged. So 57 divided by 17 equals 3.353 and then you do the same with the other side but multiplication; 38 times 3.353 equals 127.41. :)

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If $48,000 is invested in an account earning 3.1% interest compounded continuously, determine how long it will
Bas_tet [7]

Answer:

It will take about 35.439  years to triple.

Step-by-step explanation:

Recall the formula for continuously compounded interest:

A=P\,e^{r*t}

where "A" is the total (accrued or future) accumulated value, "r" is the rate (in our case 0.031 which is the decimal form of 3.1%), "P" is the principal, and "t" is the time in years (our unknown).

Notice also that even that the final amount we want to get is three times $48,000. So our formula becomes:

3\,*\,48,000=\,48,000\,\,e^{0.031\,*t}\\\frac{3\,*\,48,000}{48,000} =e^{0.031*t}\\3=e^{0.031*t}

Now,in order to solve for "t" (which is in the exponent, we use logarithms:

ln(3)=0.031\,*\,t\\t=\frac{ln(3)}{0.031} \\t=35.439 \,\,years

7 0
4 years ago
Help. Will give brainliest :)
aleksandrvk [35]

Answer:

18 inches!

Step-by-step explanation:

Since you are multiplying the original size by 3 times (4 in. originally • 3 = 12 inches) you just multiple the original height by 3 (6•3=18)

hope this helped!

7 0
3 years ago
A researcher asks participants to taste each of three meals and to choose the one they like best. The same foods are in each mea
Margarita [4]

Answer:

D. All of the above

Step-by-step explanation:

By the given data, some persons were in the experiment and each of them was given with three meals, Low Calorie, Moderate Calorie and High Calorie. They results for the meal they liked is as below:

Low Calorie Meal got likes = 6

Moderate Calorie Meal got likes = 7

High Calorie Meal got likes = 17

so,

Option A is correct as High Calorie meal got 17 likes while Low Calorie meal got 6 likes.

Option B is also correct as Low Calorie meal got 6 likes while Moderate Calorie meal got 7 likes.

Option C is correct too as High Calorie meal got largest number of likes even more than the double of Low calorie and Moderate calorie meal so it was more than expected.

3 0
3 years ago
Find the y-intercept(s),k if any for the equation y=x^2-16
Lyrx [107]
the\ y-intercept:\\\\y=x^2-16\ \ \ and\ \ \ x=0\ \ \ \Rightarrow\ \ \ y=0^2-16=-16
5 0
3 years ago
Read 2 more answers
The population of Virginia is 24% less than the population of Georgia,. If the population of Georgia is 10.5 million what is the
zlopas [31]

The population of Virginia is 7,980,000 people.

  • Let the population of Virginia be V.
  • Let the population of Georgia be G.

<u>Given the following data:</u>

  • Population of Georgia = 10.5 million

To find the population of Virginia:

Translating the word problem into an algebraic expression, we have;

24% percent less:

\frac{24}{100} × 10500000

24 × 105000

24% of G = 2,520,000

Now, we can find the population of Virginia:

V = G - 2,520,000

V = 10,500,000 - 2,520,000

<em>V = 7,980,000 people.</em>

Therefore, the population of Virginia is 7,980,000 people.

Find more information: brainly.com/question/596290

5 0
3 years ago
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