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Tcecarenko [31]
2 years ago
6

Kristina deposits $850 into a savings account that has a yearly interest rate of 6.5%. determine the total amount of money that

she will have if she withdraws all her money 18 months later?
Mathematics
1 answer:
Lerok [7]2 years ago
3 0

Answer:

Answer is 33. 15

Step-by-step explanation:

So I added the number of days 18 months could have then multiplied by 6.5%

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In a certain state's lottery, 40 balls numbered 1 through 40 are placed in a machine and 7 of them are drawn at random. If the 7
DENIUS [597]

Answer:

Step-by-step explanation:

From the given information;

The total number of ways to choose 7 number = ^{40}C_7

Number of ways to choose 7 correct numbers = ^{7}C_7

∴

The probability P( win $2500000) is;

= \dfrac{^{7}C_7}{^{40}C_7}

= \dfrac{\dfrac{7!}{7!(7-7)!} }{\dfrac{40!}{7!(40-7)!}}

= \dfrac{1 }{\dfrac{40!}{7!(40-7)!}}

= \dfrac{1 }{\dfrac{40!}{7!(33)!}}

= \dfrac{1 }{18643560}

= 5.36 × 10⁻⁸

The probability P( win $10000) is:

= \dfrac{^7C_5 \times ^{33} C_2}{^{40}C_7}

= \dfrac{ \dfrac{7!}{5!(7-5)!} \times  \dfrac{33!}{2!(33-2)!} }{ \dfrac{40!}{7!(40-7)!}}

= \dfrac{ \dfrac{7!}{5!(2)!} \times  \dfrac{33!}{2!(31)!} }{ \dfrac{40!}{7!(33)!}}

= \dfrac{ 21 \times 528 }{ 18643560}

= \dfrac{ 11088 }{ 18643560}

=\dfrac{462}{776815}

= 5.95 × 10⁻⁴

8 0
2 years ago
How is the product of 3 and 2 shown on a number line?
erastova [34]

Answer:

A number line going from negative 7 to positive 7. An arrow goes from 0 to 3 and from 3 to 6.

4 0
3 years ago
Please help. Which number(s) below belong to the solution set of the inequality? Check all that apply. 9x > 117
lord [1]

Answer:

A, d and e

Step-by-step explanation:

So take the numbers a multiply them by nine. if they are more than 117, then they are correct, but with D 9x13 is equal to 117 so it is part of the solution set.

8 0
2 years ago
Beaker A contains 4 1/3 fluid ounces, while beaker B contains 4 3/10 of water . Which beaker has the smaller amount of water
kirill [66]
Beaker  A contains more water.
First,find equivalent fraction.
Next,compare the amounts you will see Beaker A contains more water.
Therefore,Beaker A contains more water.
8 0
2 years ago
To factor the quadratic expression x^2−8x−10 by completing the square, what value would be added? A. 64 B. 8 C. 16 D.-16
Elan Coil [88]

Answer:

C

Step-by-step explanation:

When completing the square, we essentially want to create a perfect square trinomial by adding a constant.

If we have the following expression:

x^2+bx

And we want to complete the square, we will need to divide the b-coefficient by half and then square it.

Thus, the added term should be:

(b/2)^2

In the given equation, we have:

(x^2-8x)-10

The b term here is 8. Therefore:

(8/2)^2\\=(4)^2\\=16

The value we would add would be 16.

The answer is C.

Further notes:

To complete the square, add 16 like mentioned earlier. However, we also need to subtract 16 to balance things out:

(x^2-8x)-10\\=(x^2-8x+16)-10-16\\

The expression inside the parentheses is now a perfect square trinomial. Factor it:

=((x)^2-2(4)(x)+(4)^2)-26\\=(x-4)^2-26

And we are done!

4 0
3 years ago
Read 2 more answers
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