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vladimir2022
16 days ago
5

Which of the following best describes the slope of the line below?

Mathematics
1 answer:
tester [8.8K]16 days ago
7 0
It exhibits a zero slope.

In the case of a horizontal line, the slope remains constant at 0 since there is no variation.
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A rectangular swimming pool has a length of 48 feet and a width of 36 feet. A hose needs to
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I think the answer is 42 feet.
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8 days ago
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Yolanda invests $30,000 in an account that offers a compound interest rate of 7.9% per year. Which of the following is the corre
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To find the solution, we will utilize the compound interest formula: A=P(1+ \frac{r}{n} )^{nt}
where
A represents the total amount after t years
tex]P[/tex] indicates the original investment 
r signifies the interest rate expressed in decimal
n shows the frequency of compounding per year
t indicates the duration in years

According to our problem, the initial investment is <span>$30,000 with a duration of ten years, thus </span>P=30000 and t=10. Interest is compounded annually, so n=1. To convert the percentage interest rate into decimal, we divide it by 100%
r= \frac{7.9}{100}
r=0.079
Now, we can insert these values into our formula:
A=P(1+ \frac{r}{n} )^{nt}
A=30000(1+ \frac{0.079}{1} )^{(1)(10)}
A=3000(1+0.079)^{10}
Substituting A with P_{10}:
P_{10}=3000(1+0.079)^{10}

Consequently, we find that the correct answer is D. P_{10}=3000(1+0.079)^{10}

Finally, to determine <span>the total amount Yolanda will have after ten years, we just need to carry out the operations in our equation: 
</span>P_{10}=3000(1+0.079)^{10}
P_{10}=30000(1.079)^{10}
P_{10}=64170.54

Thus, we conclude that Yolanda will end up with $64,170.54 in her account after a decade of earning <span>at a compound interest rate of 7.9% yearly.</span>
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Three irrational numbers are given below. Select the option that correctly plots the approximate value of each me on live where
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4 0
23 hours ago
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Given that P = (-5, 5) and Q = (-13, 10), find the component form and magnitude of 2 vector PQ.
tester [8842]
Define the unit vectors along the x and y axes as \hat{i}, \, \hat{j} correspondingly.

Consequently, the vector from P to Q is
\vec{PQ} = (-13+5)\hat{i} + (10-5)\hat{j} = -8\hat{i} + 5\hat{j}
In terms of components, vector PQ is represented as (-8,5).

The magnitude of vector PQ can be calculated as
√[(-8)² + 5²] = √(89) = 9.434

Answer:
Thus, vector PQ is (-8, 5), and its magnitude equals √89 (or 9.434).
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