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Iteru [2.4K]
3 years ago
12

If −5e^x^2 y=x and y(−5)=0, find y′(−5) by implicit differentiation

Mathematics
1 answer:
xenn [34]3 years ago
6 0
Differentiate:
-5×2(xe^x^2)y-5e^x^2dy/dx=1
-5e^x^2(2xy+y´)=1
When x=-5, y=0:
-5e²⁵y´=1, so y´(-5)=-eˉ²⁵/5
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We invested $10000 into two bank accounts. One account earns 14% per year, the other account earns 8% per year. How much did we
Blababa [14]

Answer:

$7,300 was invested in the 14% account while $2,700 was invested in the 8% interest account

Step-by-step explanation:

Let the amount invested in first account be $x while the amount for second account is $y

Mathematically;

x + y = 10,000 •••••••••(i)

Interest on first account

= 14% of x = 14/100 * x

Interest on second account

= 8% of y= 8/100 * y

Adding all together will give total

14/100 * x + 8/100 * y = 1238

Multiply through by 100

14x + 8y = 123800 •••••••(ii)

From equation 1, x = 10,000 - y

Insert this into second equation

14(10,000-y) + 8y = 123,800

140,000 - 14y + 8y = 123,800

140,000 - 6y = 123,800

6y = 140,000 - 123,800

6y = 16,200

y = 16,200/6

y = $2,700

Recall

x + y = 10,000

x = 10000 - y

x = 10,000 - 2,700

x = $7,300

3 0
3 years ago
How many significant figures are there in the number 31.6901? A. 6 B. 4 C. 3 D. 5
Simora [160]
Significant figures are numbers after the decimal point, which have usually been rounded. There are four numbers after the decimal point, so there are 4 significant figures.

:)

5 0
3 years ago
Read 2 more answers
Heron Island is a coral cay in the Great Barrier Reef. Around Heron Island (and elsewhere in Australia) there are 2 color morphs
kobusy [5.1K]

In case A, as the error would be a difference of 1, the assumption could be mantained, but in case B the difference will be bigger, showing that the ratio is not 3:1 but 4:1.

<h3><u>Ratios</u></h3>

Given that a preliminary study was carried out to test the hypothesis that the ratio of white to dark herons on the island was 3:1, but A) a small census found 16 white morphs and 4 dark, to determine if the assumption of a 3 :1 ratio could be rejected, and B) to determine the same question if the census were larger with 160 white morphs and 40 dark, the following calculations must be made:

A)

  • 3 + 1 = 4
  • 16 + 4 = 20
  • 4 = 20
  • 3 = X
  • 60 / 4 = X
  • 15 = X
  • Therefore, as the error would be a difference of 1, the assumption could be mantained.

B)

  • 3 + 1 = 4
  • 160 + 40 = 200
  • 150 = 3:1
  • In this case, the difference will be bigger, showing that the ratio is not 3:1 but 4:1.

Learn more about ratios in brainly.com/question/1504221

3 0
2 years ago
Kaley cuts half of a loaf of bread into 4 equal parts. What fraction of the whole loaf does each of the 4 parts represent?
morpeh [17]

Answer:

The answer is 1/4

Step-by-step explanation:

When you split something into fourths, you each get 1/4 of it.

6 0
3 years ago
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Jessica has two strings. the first string measures 80 cm and the second string measures 64cm. she wants to cut the strings into
omeli [17]
<span>The highest common denominator between 80 and 64 is 16. This means no string can be cut longer than 16 inches for them all to have the same length.</span>
5 0
3 years ago
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