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Ilya [14]
3 years ago
5

Belle inherited an antique teapot from her grandmother. The teapot's current value is $30 and

Mathematics
1 answer:
xeze [42]3 years ago
5 0

Answer:

\boxed{\$79.60}

Step-by-step explanation:

current value is $30

as it increases at a rate of 5% each year

after n year the value will be 30(1.05)^{n}

so for 20 years it will be 30(1.05)^{20}

it gives 79.59893 so we can round it to 79.60

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A palm tree casts a shadow that is 28 feet long. A 6-foot sign casts a shadow 8 feet long.
s2008m [1.1K]

Answer: The height of the palm tree is 21 feet.

Step-by-step explanation:

We can use a ratio to solve this:

Actual height to shadow for both objects. The fraction equivalents must be equal.

6/8 = x/28 . Cross multiply

6(28) = 8x

168 = 8x   Divide both sides by 8  (8's "cancel" on the right)

168/8 =8x/8

21 = x . This gives us the tree's height as 21 feet.

<em>Another way to solve this is to use the ratios, but simplify the first fraction</em>

<em>6/8 = 3/4</em>

<em>Then multiply the length of the shadow by 3/4</em>

<em>3/4 × 28 = height</em>

<em>28÷4 = 7    7 × 3 = 21</em>

<em>21  feet= the height of the palm tree.</em>

3 0
3 years ago
Jake received a student loan for $12,000. He plans on paying off the loan and five years. At the end of five years, Jake will pa
Nady [450]
8000 dollars is the answer I think it is
4 0
3 years ago
3. Rewrite the expression as simply as you can:<br> 3x + 11y - 2x - 4y
vfiekz [6]

Answer:

x+7y

Step-by-step explanation:

First off, lets split the question into both x and y.

3x - 2x for the x

11y - 4y for the y

You can solve both of them to get x + 7y

3x - 2x = x

11y - 4y = 7y

Then, add them back up and get x + 7y

7 0
3 years ago
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Ksivusya [100]

Answer:

X = 102

Step-by-step explanation:

41 + 37 + x = 180

78 + x = 180

X = 180 - 78 = 102

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