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Jobisdone [24]
2 years ago
8

Mike's grandmother opened a savings account in Mike's name and deposited some money into the account. The account pays an annual

simple interest rate of 3%. After 11 years, the interest earned on the account was $660. How much money did Mike's grandmother deposit in the account?
A.
$2,000
B.
$3,000
C.
$2,500
D.
$1,000
Mathematics
1 answer:
natulia [17]2 years ago
4 0

Answer: My best guess is a, but i would look into it more.

Step-by-step explanation:

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alex41 [277]

Answer:\frac{8}{3}\times \sqrt{\frac{2}{5}}

Step-by-step explanation:

Given two upward facing parabolas  with equations

y=6x^2 & y=x^2+2

The two intersect at

6x^2=x^2+2

5x^2=2

x^2=\frac{2}{5}

x=\pm \sqrt{\frac{2}{5}}

area  enclosed by them is given by

A=\int_{-\sqrt{\frac{2}{5}}}^{\sqrt{\frac{2}{5}}}\left [ \left ( x^2+2\right )-\left ( 6x^2\right ) \right ]dx

A=\int_{\sqrt{-\frac{2}{5}}}^{\sqrt{\frac{2}{5}}}\left ( 2-5x^2\right )dx

A=4\left [ \sqrt{\frac{2}{5}} \right ]-\frac{5}{3}\left [ \left ( \frac{2}{5}\right )^\frac{3}{2}-\left ( -\frac{2}{5}\right )^\frac{3}{2} \right ]

A=\frac{8}{3}\times \sqrt{\frac{2}{5}}

7 0
3 years ago
Find the midpoint of the line segment whose endpoints are (3, 10) and (7, 8).
Stels [109]

Answer:

Option 2 is correct.

Step-by-step explanation:

Given the coordinates of lines segment (3, 10) and (7, 8). we have to find the mid-point of given line segment.

Mid-point formula states that if (x_1,y_1) and (x_2,y_2) are the coordinates of end points of line segment then the coordinates of mid-point are

(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

∴ Coordinates of mid-point of line segment joining the points          (3, 10) and (7, 8) are

(\frac{3+7}{2},\frac{10+8}{2})=(\frac{10}{2},\frac{18}{2})=(5,9)

Hence, option 2 is correct.

6 0
2 years ago
Read 2 more answers
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Answer:

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(1/2)^5 = 0.03125

The only one that matches with the value of 1/36 is (1/6)^2. Therefore, your answer is . (1/6)^2

8 0
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