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4 years ago

$650 is invested in an account at 3%

Mathematics

1 answer:

o-na [289]4 years ago

8 0

Answer:

Step-by-step explanation:

Simple interest = $650*\frac{3}{100}=$19.5$

End of first year = 650+19.5 = $669.50

End of second year = 669.50+19.5 = $ 689

End of third year = 689+19.5 = $708.50

End of fourth year = 708.50 +19.5 = $ 728

End of fifth year = 728 +19.5 = $747.50

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Identify the solutions to the quadratic equation x^2+3-28=0

umka2103 [35]

Answer: x= -+ 5

Step-by-step explanation: $x^{2} = 25 X = \sqrt{25} \\X = 5 and X = -5$

7 0

3 years ago

Find the equation in slope-intercept form of the line parallel to y = 4x + 23 and passes through the point (2,3).

kupik [55]

Answer: y=4x-5

Step-by-step explanation:

The slope of y=4x+23 is:4 m=4

The parallel line needs to have the same slope of 4

Solve it using the "point-slope" equation of a line: y− y1 = 2(x − x1)

substitute or put in the point (2,3):

y − (3) = 4(x − 2)

y - 3 = 4x - 8

put it in slope intercept form y = mx + b

y = 4x − 5

6 0

3 years ago

Mary is flying a kite and has let out 50 yards of kite string. Mary’s kite is directly above Erika.

ch4aika [34]

The distance of Erika from kite directly is 35.71 yards

Step-by-step explanation:

Considering the given situation as a right triangle with string as hypotenuse and the distance between both girls as base

So,

$h = 50\ yards\\b = 35\ yards$

As the triangle is a right triangle, we can use pythagoras theorem to solve this problem.

$h^2 = b^2 + p^2\\p^2 = h^2 - b^2\\p^2 = (50)^2 - (35)^2\\p^2 = 2500-1225\\p^2 = 1275\\\sqrt{p^2} = \sqrt{1275}\\p = 35.707\ yards$

Rounding off to nearest hundredth

=> 35.71 yards

Hence,

The distance of Erika from kite directly is 35.71 yards

Keywords: Triangle, Pythagoras

Learn more about triangle at:

#LearnwithBrainly

3 0

3 years ago

If 3(x – 2) = 2x + 6, the value of x is<br> i will give you 35 points

Kryger [21]

3x - 6 = 2x + 6
3x = 2x + 6 + 6
3x = 2x + 12
3x - 2x = 12
x = 12

4 0

4 years ago

If c o v (x comma space y )space equals space 1260, s subscript x squared equals 1600, and s subscript y squared equals 1225 , t

tangare [24]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The coefficient is $r =0.81$

Step-by-step explanation:

From the question we are told that

$cov(x, y )= 1260$

$s_x^2 = 1600$

$s_y^2 = 1225$

Generally the coefficient of determination is mathematically represented as

$r = [ \frac{cov(x,y)}{ \sqrt{s_x^2} * \sqrt{s_y^2} } ]^2$

substituting values

$r = [ \frac{ 1260}{ \sqrt{1600} * \sqrt{1225} } ]^2$

$r =0.81$

7 0

3 years ago