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Anna35 [415]
3 years ago
13

1. If you invest $500 in an account that earns 3.5% annually compounded monthly. How

Mathematics
1 answer:
Roman55 [17]3 years ago
4 0
A

Answer with explanation
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On moving day, Jorge needs to rent a truck. The length of the cargo space is 12 ft, and the height is 1 ft less than the width.
lidiya [134]

Answer:

12ft \times7ft \times6ft

Step-by-step explanation:

Given that truck can hold = 504 ft^{3} i.e.

Volume, V = 504 ft^{3}

Length of cargo space = 12 ft

Let width of cargo space = w ft

As per question statement:

Let height of cargo space = (w-1) ft

To find: The Dimensions of Cargo Space

Formula for Volume of Cargo Space:

V = Length \times Width \times Height

Putting the given values and conditions:

504 = 12 \times w \times (w-1)

\Rightarrow w(w-1) = \dfrac{504}{12}\\\Rightarrow w^{2} -w = 42\\\Rightarrow w^{2} -w - 42=0\\\Rightarrow w^{2} -7w +6w -42 =0\\\Rightarrow w(w -7) +6(w -7) =0\\\Rightarrow (w -7)(w+6) = 0\\\Rightarrow w =7, -6

Dimensions can not be negative, so width, w = 7 ft

Height = (w-1) = 7-1 = 6 ft

So, the dimensions are 12ft \times7ft \times6ft.

5 0
3 years ago
Harmony used discarded paper to make notepads for her friends she folded 5 letter size pieces of paper 3 times then cut along th
Vinil7 [7]

Answer:

Answer is 5

Step-by-step explanation:

I don't what the problem is ;-; not sure

5x3-x=10

8 0
2 years ago
*Written Response Question*
belka [17]

The relationship between lines KO and K’O’ is given as Line K'O' = 5 * line KO

<h3>What is a transformation?</h3>

Transformation is the movement of a point from its initial point to a new location. Types of transformation are<em> reflection, rotation, translation and dilation.</em>

Dilation is the increase or decrease in size of a figure by a scale factor.

The larger figure was dilated using a scale factor of 5, hence:

Line K'O' = 5 * line KO

The relationship between lines KO and K’O’ is given as Line K'O' = 5 * line KO

Find out more on transformation at: brainly.com/question/4289712

#SPJ1

7 0
1 year ago
Someone help me with this
skad [1K]

Answer:

m∠ABC = 74

Step-by-step explanation:

The sum of the measures of three angles of any triangle is invariably equal to the straight angle, also expressed as 180 °

So you subtract the given measurements of ∠BAC (76°) and ∠ ACB (19°) from 180. 180-76-19 = 74

The measurement of angle ABC is 74°

7 0
3 years ago
15-x=2(x+3) I need this solved and show me how you solved it
Sunny_sXe [5.5K]
15 - x = 2(x + 3)
15 - x = 2x + 6
15 = 3x + 6
9 = 3x
3 = x
x = 3
4 0
3 years ago
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