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Alja
4 days ago
12

Mrs . Martin has $7,000 in her savings account . Alonzo has 1/10 as much money in his account as mrs. Martin . How much money do

es Alonzo have in his account
Mathematics
2 answers:
zzz [4K]4 days ago
7 0
One-tenth of 7,000 equals 700.
lawyer [4K]4 days ago
3 0

Martin possesses $7000 in her account.

Alonzo has one-tenth of Martin’s total.

This means Alonzo has:

\frac{1}{10} of 7000

When evaluating 'of', it implies multiplication is performed.

\frac{1*7000}{10}

The numerator will be divided by the denominator.

Thus the calculation yields - 7000/10 = $700.

Alonzo has a total of $700.

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Let's calculate the missing sides first. For the large triangle, we can utilize the Pythagorean theorem, which is a^2 + b^2 = c^2. Here, a^2 is 13^2 - 5^2, which results in 169 - 25 = 144. Therefore, the square root of a is equal to the square root of 144, which gives us a = 12.
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Answer:

The attached image provides the answer.

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Step-by-step explanation:

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10 days ago
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One square has an area that is 10 cm2 larger than another. What is a reasonable domain for the area of the larger square?
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Answer:

R>10 reflects the required domain.

Step-by-step explanation:

We have two squares provided

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The domain refers to the possible values that x can assume in a function

In this context, x represents the area of the larger square

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The area of the larger square must exceed 10cm^2

The domain will consist of all real numbers greater than 10

Mathematically, R>10 indicates the required domain.

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tester [3938]
To achieve a positive profit p(x)>0, we start with:
-100 x^{2} +350x-150 \ \textgreater \ 0

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The parameters are:
a = -2
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c = -3

We will apply the quadratic formula:
x_{1} = \frac{-b+ \sqrt{ b^{2}-4ac } }{2a} \\ \\ x_{2} = \frac{-b- \sqrt{ b^{2}-4ac } }{2a} \\ \\ x_{1} = \frac{-7+ \sqrt{ 49-24 } }{-4} = \frac{-7+5 }{-4} = \frac{-2 }{-4} = \frac{1}{2} \\ \\ x_{2} = \frac{-7- \sqrt{ 49-24 } }{-4} = \frac{-7-5 }{-4} = \frac{-12 }{-4} = 3

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Chuck's gross pay will decrease by $129.04.
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