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FrozenT [24]
3 years ago
9

Frances has no money in her checking account. she writes 3 checks for $35 each. the bank imposes $15 penalty because she has ove

rdrawn her account. how much money is in her account now?
Mathematics
2 answers:
Marizza181 [45]3 years ago
8 0
0-35=-35-(-35)=-70-(-35)=-105-(-15)=-120. so -120 would be your answer. hope this helped. 
Gwar [14]3 years ago
8 0

Answer:

-\$120

Step-by-step explanation:

We have been given that Frances has no money in her checking account. She writes 3 checks for $35 each.

The amount drawn from the account would be 3\times \$35=\$105.

The amount after imposing $15 penalty would be \$105+\$15=\$120.

Since Frances has no money in her checking account initially, so she will have a debt of -\$120.

Therefore, she has -\$120 in her account now.

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3 years ago
A baker is building a rectangular solid box from cardboard to be able to safely deliver a birthday cake. The baker wants the vol
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The length of the rectangular delivery box must be equal to 4 inches.

Let the length of the box be L.

Let the width of the box be W.

Let the height of the box be H.

<u>Given the following data:</u>

  • Volume of box = 224 cubic inches.

Translating the word problem into an algebraic expression;

W = 3 + L  ......equation 1

H = 4 + L  ......equation 2.

Mathematically, the volume of a rectangular solid is given by the formula;

Volume = length * width * height  .....equation 3.

Substituting the values into equation, we have;

224 = L * (3 + L) * (4 + L)\\\\224 = (3L + L^{2})* (4 + L)\\\\224 = 12L + 3L^{2} + 4L^{2} + L^{3} \\\\224 = 12L + 7L^{2} + L^{3}

Rearranging the polynomial, we have;

L^{3} + 7L^{2} +  12L - 224 = 0

We would apply the remainder theorem to solve the polynomial.

According to the remainder theorem, if a polynomial P(x) is divided by (x - r) and there is a remainder R; then P(r) = R.

When x = 3

(x - 3) = 0\\x = 3

P(3) = 3^{3} + 7(3^{2}) + 12(3) - 224\\\\P(3) = 27 + 7(9)  + 36 - 224\\\\P(3) = 27 + 63 + 36 - 224 = -98 \neq 0

We would try with 4;

P(4) = 4^{3} + 7(4^{2}) + 12(4) - 224\\\\P(4) = 64 + 7(16)  + 48 - 224\\\\P(4) = 64 + 112 + 48 - 224\\\\P(4) = 224  - 224 = 0

Therefore, 4 is one of its roots.

Hence, the length of the rectangular delivery box must be equal to 4 inches.

Find more information on polynomial here: brainly.com/question/10689855

3 0
3 years ago
How do you find the equation to 1/3 of 27?
NeX [460]
To find 1/3 of 27 divide 27 by the denominator (which in this case would be 3) then multiply by the numerator (which is one) so you'd do 27 divided by 3 then multiply by 1
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2 years ago
Someone please help me with this algebra problem
nevsk [136]

Answer:

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Step-by-step explanation:

We are looking for the decrease in money per desk purchased. Because the x-axis is the number of desks purchased, what we have to find is the (opposite) of the slope. The formula to represent slope can be written as:

\frac{y_{2} -y_{1} }{x_{2}- x_{1} }

We can substitute the points given, (2, 480) and (5, 150) and simplify:

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We would multiply by -1 because we are asking for the decrease, and negative increase is decrease. -1 * -110, gives us $110

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3 years ago
A small business examines the income of 10 random households to determine if the community will be a good location for a store.
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The answer is............... B
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