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sashaice [31]
4 years ago
5

Nia plans to put enough money in the bank each week for 100 weeks so that the amount in the bank is always proportional to the w

eek number. On week 8, she had $20.00. On week 12, she had $30.00. How much money will be in the savings account on week 100?
Mathematics
2 answers:
dolphi86 [110]4 years ago
7 0

Answer:

40$

Step-by-step explanation:

because 30.00 and 20.00 equal 50$ and you would subtract the quations and get 40$

garri49 [273]4 years ago
3 0

Answer:

$40

Step-by-step explanation:

2 1/2 times the week

8 x 2.5 = 20

12 x 2.5 = 30

40 x 2.5 = 100

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How these ratios alike? <br> 8:5 16:10 24:15
arlik [135]

Answer:

All the left numbers of the Ratio go by 8's times tables and all the right numbers go by 5's times tables

Step-by-step explanation:

8x1= 8

8x2 =16

8x3 = 24

5x1= 5

5x2= 10

5x3= 15

Let me know if its right.

6 0
3 years ago
Please help! This assignment is due soon! (In The photo)
eimsori [14]

Answer

Elena must have substracted 1/2x from both sides of the equation.

Lin must have multiplied both sides of the equation by 2

Explanation

The equation given is

\frac{1}{2}x+3=\frac{7}{2}x+5

For Elena to have arrived at

3=\frac{7}{2}x-\frac{1}{2}x+5

Then Elena must have substracted 1/2x from both sides of the equation.

That is;

\begin{gathered} \frac{1}{2}x+3=\frac{7}{2}x+5 \\ \text{Substracting }\frac{1}{2}x\text{ from both sides of the equation will give Elena first step} \\ \frac{1}{2}x+3-\frac{1}{2}x=\frac{7}{2}x+5-\frac{1}{2}x \\ 3=\frac{7}{2}x-\frac{1}{2}x+5 \end{gathered}

For Lin to have arrived at

x+6=7x+10

It shows Lin must have multiplied both sides of the equation by 2

That is;

\begin{gathered} \frac{1}{2}x+3=\frac{7}{2}x+5 \\ \text{Multiply both sides of the equation by the lowest common mutiple } \\ \text{of the denominator which is 2.} \\ \frac{1}{2}x(2)+3(2)=\frac{7}{2}x(2)+5(2) \\ x+6=7x+10 \end{gathered}

4 0
1 year ago
3/2 divided by 1 1/2 and simplified<br> please try to explain how
valkas [14]

Answer:

1

Step-by-step explanation:

If you convert it to a decimal both fractions equal to 1.5/1.5 which makes the answer 1

8 0
3 years ago
Some number was divided into 104.13. This quotient was multiplied by 4, after which the resulting product was added to 5. Given
SVEN [57.7K]

Answer:

The initial number is <u>-1218.321</u>.

Step-by-step explanation:

Let the initial number be 'x'.

The number 'x' is divided into 104.13.

So, we divide the number 'x' by 104.13. This gives,

\dfrac{x}{104.13}

Now, the quotient is multiplied by 4. So, this means we need to multiply 4 to the fraction above. This gives,

\dfrac{x}{104.13}\times 4\\\\\frac{4x}{104.13}

Now, 5 is added to the result. This gives,

\frac{4x}{104.13}+5

Now, as per question:

\frac{4x}{104.13}+5=-41.8

Now, solving for 'x', we add -5 both sides. This gives,

\frac{4x}{104.13}+5-5=-41.8-5\\\\\frac{4x}{104.13}=-46.8\\\\4x=-46.8\times 104.13\\\\4x=-4873.284\\\\x=\frac{-4873.284}{4}=-1218.321

Therefore, the initial number is -1218.321.

6 0
3 years ago
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 65 inches and standard deviation 4 inch
Serhud [2]

Answer:

Step-by-step explanation:

<u>a)</u>

  • Given that ; X ~ N ( µ = 65 , σ = 4 )
  • P ( 64 < X < 66 )

From application of normal distribution ;

  • Z = ( X - µ ) / σ, Z = ( 64 - 65 ) / 4,  Z = -0.25
  • Z = ( 66 - 65 ) / 4,  Z = 0.25

Hence, P ( -0.25 < Z < 0.25 ) = P ( 64 < X < 66 ) = P ( Z < 0.25 ) - P ( Z < -0.25 ) P ( 64 < X < 66 ) = 0.5987 - 0.4013

  • P ( 64 < X < 66 ) = 0.1974

b) X ~ N ( µ = 65 , σ = 4 )

  • P ( 64 < X < 66 )

From normal distribution application ;

  • Z = ( X - µ ) / ( σ / √(n)), plugging in the values,
  • Z = ( 64 - 65 ) / ( 4 / √(12)) = Z = -0.866
  • Z = ( 66 - 65 ) / ( 4 / √(12)) = Z = 0.866

P ( -0.87 < Z < 0.87 )

  • P ( 64 < X < 66 ) = P ( Z < 0.87 ) - P ( Z < -0.87 )
  • P ( 64 < X < 66 ) = 0.8068 - 0.1932
  • P ( 64 < X < 66 ) = 0.6135

c) From the values gotten for (a) and (b), it is indicative that the probability in part (b) is much higher because the standard deviation is smaller for the x distribution.

4 0
3 years ago
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