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NARA [144]
3 years ago
9

Part A

Mathematics
1 answer:
ZanzabumX [31]3 years ago
4 0

Answer:

Joseph must run at least 3 more days to achieve 6 miles per week.

Step-by-step explanation:

Since Joseph runs 2 1/2 miles on Monday, and each day after that, he runs the same 1 1/3 mile route every morning, and his goal is to run at least 6 miles by the end of the week, to determine which inequality represents the least number of days after Monday that Joseph needs to run to reach his goal, the following calculation must be performed:

1/2 = 0.5

2 1/2 = 2.5

1/3 = 0.333

1 1/3 = 1.333

(6 - 2.5) / 1.333 = X

3.5 / 1.333 = X

2.625 = X

Therefore, Joseph must run at least 3 more days to achieve 6 miles per week.

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For which value of x does f(x) = 2
laila [671]

Answer:

<h2>x = -4</h2>

Step-by-step explanation:

<em>Look a the picture</em>.

Draw the horizontal line <em>y = 2</em>.

Common point: (-4, 2).

Conclusion: f(x) = 2 → x = -4

8 0
3 years ago
Find the percent of change when the price of a radio changes from $40.00 to $44.00.
HACTEHA [7]
1) 10%
2)12%
3)20%
4)8%
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7 0
3 years ago
Micah needs $18,500 to purchase a boat. How much money will he need to invest today in a savings account earning 3.2% interest,
charle [14.2K]
We have that every quarter, he will get an 0.8% interest rate. We also have that there will be 14*4=56 periods of repayment. We have that by the formula, if there are n periods and x% is the interest rate, the capital is multiplied by (100+x%)^n.
Suppose Micah invests x money. Then, we have that after 14 years, the capital available will be C=x*(1.008)^{56}=x*1.562. We have that C=18500$ and hence that 18500=x*1.562. Thus, solving for x we have that x=11841$.
Micah will need to invest only 11841$ in order to pay for his boat; this shows the importance of saving since he earns a lot of money, around 7k $.
6 0
3 years ago
Bill and jenna are solving the quadratic equation x 2 - x = 12. bill solved this way jenna solved this way x 2 - x = 12 x(x - 1)
goldfiish [28.3K]

Jenna is correct and Billy is wrong because the equation was not converted to a quadratic form.

<h3>Form of quadratic equation</h3>

The form of quadratic equations is given as

ax2 + bx + c = 0

So, for the quadratic equation, we have

x² - x = 12

Let's make it into quadratic form

x² - x - 12 = 0

Bill solved it as

x(x - 1) = 12

This is wrong, because quadratic equations must be written in the form before solving for the variables

Jenna solved it as

x 2 - x - 12 = 0

Jenna is correct because she converted the equation to a quadratic form before solving for the variables.

Thus, Jenna is correct and Billy is wrong because the equation was not converted to a quadratic form.

Learn more about quadratic equations here:

brainly.com/question/7784687

#SPJ1

6 0
2 years ago
Which statement include two quantities in the real world that are additive inverses
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Right answers: <span>A hot-air balloon ascends 2000 ft from the ground and then descends 2000 ft.

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3 years ago
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