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BaLLatris [955]
3 years ago
6

Suppose you deposit $12.50 into your savings account each week for 4 weeks and then withdraw $4.80 each week for the next two we

eks. Find the total change in the amount of money in your account.
Mathematics
1 answer:
monitta3 years ago
7 0

Answer:

The total change in the amount of money in my account is $ 9.60

Step-by-step explanation:

Given:

Amount of money deposited each week, A_{d}=\$12.50

Amount of money withdrawn each week, A_{w}=\$4.80

∴ Amount of money deposited in 4 weeks, A_{dT}=A_{d}\times 4=12.50\times 4 = \$50

∴ Amount of money withdrawn in 2 weeks, A_{wT}=A_{w}\times 4=4.80\times 2 = \$9.6

Now, amount of money left in the account is the difference of the two amounts.

So, amount left = A_{dT}-A_{wT}=50-9.6=\$40.4

Therefore, the total change in the amount of money in my account is given as:

Total change = Initial amount after 4 weeks - Final amount in the account.

Total change = $ 50 - $40.4 = $ 9.6

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VashaNatasha [74]

Answer:

Mean = 151

MAD = 9.14

Step-by-step explanation:

Given the data:

135, 160, 145, 155, 170, 150, 142

Mean = Σx / n

Mean = 1057 / 7

Mean = 151

Mean absolute DEVIATION (MAD) : Σ(x - μ) / n

[(135-151) + (160-151) + (145-151) + (155-151) + (170-151) + (150-151) + (142-151)] / 7

Mean absolute deviation = 9.14

4 0
2 years ago
What are the solutions to the equation y² + 16 = 212?
Levart [38]
Y² + 16 = 212 
<span>y</span>² <span>= 196 </span>
<span>y = -14 and 14</span>
6 0
2 years ago
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A family uses 1,303 kWh of electric energy in a month. If the power company charges $0.08 per kilowatt hour, what is the total e
prisoha [69]

The total electric energy bill for the month is \$104.24

<u>Solution: </u>

Given that

Electric energy consumed by family in a month = 1303 kWh

Power Company charges \$0.08 per kilowatt hour

Need to calculate total electric energy bill for the month.

Price of 1 kilowatt hour = \$0.08

\text { Price of } 1303 \text { kilowatt hour }=1303 \text { x Price of } 1 \text { kilowatt hour }=1303 \times 0.08=\$ 104.24

Total electric energy bill for the month = Price of Electric energy consumed by family in a month = Price of 1303 kilowatt hour = \$104.24

5 0
3 years ago
The graph of y=f(x) is the solid black graph below. Which function represents the dotted graph?
Fed [463]

Answer:   y = f(x - 4) - 1, lower left corner

=============================================================

Explanation:

Let's focus on only the left-most points of each curve

For the black semicircle, the left-most point is located at (-7,0). The corresponding point on the red semicircle is at (-3,-1)

To go from (-7,0) to (-3,-1), we will do two things

  • Shift 4 units to the right
  • Shift 1 unit down

This can be done in any order. The action of "shift 4 units to the right" is effectively the same as shifting the xy axis 4 units to the left while keeping the curves fixed in place. This gives the illusion of movement. When we shift 4 the xy axis 4 units to the left, we're replacing each x input with x-4 as the new input.

In short, we go from f(x) to f(x-4). This is why we have this opposite motion going on.

The up and down motion is fairly straight forward. To shift 1 unit down, we subtract off 1. This is to subtract 1 from the y coordinate.

Overall, we go from y = f(x) to y = f(x - 4) - 1

Applying this transformation will move (-7,0) to (-3,-1) as described above. It will also move every other point on the black curve to their new corresponding location on the red curve.

3 0
3 years ago
What is the value of the function at x=−3?<br><br> A) y = 0<br> B) y=−3<br> C) y = 4<br> D) y = 3
Alexus [3.1K]

Answer:

y=4

Step-by-step explanation:

From the graph we can see that-

when, x=-3 ,  y=4

That is , the graph passes through   (-3 , 4)

So,

for  x=-3 ,

we get    y=4

So, the answer is    y=4

5 0
3 years ago
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