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Tresset [83]
2 years ago
5

Devin invested money into a bank account. The table below is the value of Devin’s investment over time.

Mathematics
1 answer:
shtirl [24]2 years ago
6 0
This data best fits an exponential model.

The regression equation would be:
y = 8385(1.12)^x (There are online calculators for this)

The y-intercept would be the starting value of the account.

Yes, the correlation coefficient is 0.9983.

If you input 6 into the equation, you will get a value of $16,550.


Guest
1 year ago
Can you show your work for the input of 6??
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Using V = lwh , find an expression in factored form for the volume of this prism. Explain the general steps you used to arrive a
blsea [12.9K]
Using the given equation of,
                              V = lwh
The volume of the given prism in the figure is,
                              V = (x² - x / 4x + 1) (2x - 5)(24x² + 6x / x - 1)
By factoring,
                            V = ((x)(x - 1) / (4x + 1))(2x - 5)((6x)(4x + 1) / (x - 1))
Eliminating terms appearing in both the denominator and numerator,
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2 years ago
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Katyanochek1 [597]
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6 0
2 years ago
Carlos shovels snow from driveways in his neighborhood. he charges $10 for each regular driveway and he charges an extra $7.50 f
stiks02 [169]

Let, the number of regular driveways be x.

Given there are 3 fewer large driveways than regular driveways.

So, the number of large driveways = (x-3)

Given, Carlas charges $10 for each regular driveway.

So for x regular driveway the amount will be = $ (10)(x) = $ (10x)

And he charges extra $7.50 for each large driveway.

So for each large driveway Carlos charges = $(10+7.50) = $17.50.

For (x-3) large driveways Carlos will charge = $ (17.50)(x-3) = $ (17.50x - 52.50)

Given, the total amount he makes = $140

So we can write the equation as,

10x + 17.50x - 52.50 = 140

27.50x + 52.50 = 140

We will move 52.50 to the right side by adding it to both sides. We will get,

27.50x - 52.50 + 52.50 = 140 + 52.50

27.50x = 192.50

Now to get x, we will move 27.50 to the right side by dividing it to both sides. We will get,

\frac{(27.50x)}{27.50} =\frac{192.50}{27.50}

x =\frac{192.50}{52.50}

x = 7

So we have got the required answer.

The number of regular driveways Carlos shovel = 7.


8 0
2 years ago
The truth table represents statements p, q, and r. p q r p ∧ q p ∧ r A T T T T T B T T F T F C T F T F T D T F F F F E F T T F F
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So, (p ^ q) V (p ^ r)  will be TRUE, if either one of  (p ^ q) and (p ^ r)  or both are true. From the given table we can see that only the outcomes A, B and C will result is TRUE. The rest of the outcomes will all result in FALSE.

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5 0
2 years ago
A refund of $3.15 on a $8.64 bill
Varvara68 [4.7K]

8.64 - 3.15 = $5.49 if this is what you are asking

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2 years ago
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