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sergeinik [125]
3 years ago
13

By the end of the summer, Sarah will earn $420 doing yard work. If she deposits this amount in a savings account paying 3.5% sim

ple annual interest, what will her balance be at the end of 5 years?
Mathematics
2 answers:
Svetradugi [14.3K]3 years ago
4 0

Answer:  $493.50

Step-by-step explanation:

Brums [2.3K]3 years ago
3 0

Answer: the answer is ($493.50<u><em>)</em></u>

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Which expression is equivalent to...? Screenshots attached, please help.
BaLLatris [955]

For this case we must simplify the following expression:

\sqrt [3] {64 * a ^ 6 * b ^ 7 * c ^ 9}

We rewrite:

64 = 4 ^ 3\\a ^ 6 = (a ^ 2) ^ 3\\b ^ 6 * b = ((b ^ 2) ^ 3 * b)\\c ^ 9 = (c ^ 3) ^ 3

So:

\sqrt [3] {4 ^ 3 * (a ^ 2) ^ 3 * (b ^ 2) ^ 3 * b * (c ^ 3) ^ 3} =\\\sqrt [3] {4 * a ^ 2 * b ^ 2 * c ^ 3) ^ 3 * b} =

By definition of properties of powers and roots we have:

\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}

So:

4a ^ 2b ^ 2 c ^ 3 \sqrt [3] {b}

Answer:

Option B

3 0
3 years ago
In a​ survey, 400 people were asked to choose one card out of five cards labeled 1 to 5. The results are shown in the table. Com
-BARSIC- [3]

Answer:

The value of the experimental probability is greater

Step-by-step explanation:

For the theoretical probability;

the probability that a card with the number 3 is selected is 1/5

We consider that the probabilities of each selection are equal, for the theoretical probability

For the experimental, we simply place the frequency of the selection 3 over the total

that will be 128/400 = 8/25

As we know that 8/25 is greater than 1/5

We can conclude that the value of the experimental probability is greater than that of the theoretical

6 0
3 years ago
Read 2 more answers
What is the area of the shape below
Bad White [126]

Answer:

The area of the shape is A=886 \:cm^2.

Step-by-step explanation:

The shape in the graph is a composite figure is made up of several simple geometric figures such as triangles, and rectangles.

Area is the space inside of a two-dimensional shape. We can also think of area as the amount of space a shape covers.

To calculate the area of a composite shape you must divide the shape into rectangles, triangles or other shapes you can find the area of and then add the areas back together.

First  separate the composite shape into three simpler shapes, in this case two rectangles and  a triangle. Then find the area of each figure.

To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.

The area of the first rectangle is A=34\cdot 16=544\:cm^2

The area of the second rectangle is A=11\cdot19=209\: cm^2

The area of a triangle is given by the formula A=\frac{1}{2} bh where <em>b</em> is the base and <em>h</em> is the height of the triangle.

The area of the triangle is A=\frac{1}{2} \cdot 14\cdot19=133\:cm^2

Finally, add the areas of the simpler figures together to find the total area of the  composite figure.

A_{composite\:shape}=544+209+133=886 \:cm^2

3 0
3 years ago
Use the Parabola tool to graph the quadratic functions.
OLEGan [10]

Step-by-step explanation:

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6 0
3 years ago
Un televisor costaba $9.000 y hoy cuesta<br> $500 menos, ¿cuál es el porcentaje de<br> descuento?
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A television used to cost $9,000 and today it costs

$500 less, what is the percentage of

discount?

Percentage discount: 5 5/9 percent

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2 years ago
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