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goblinko [34]
3 years ago
9

Erica recieves a $4,300 loan for her tuition which charges simple interest annually at a rate of 4.4%. How much interest will Er

ica pay on the loan over the course of 5 years? a $350 b $189.20 c $9,460 d $946
Mathematics
1 answer:
Scrat [10]3 years ago
4 0

Answer:

d) $946

Step-by-step explanation:

4.4% of 4300 = 189.2

simple interest is the value (189.2) x the amount of years (5)

189.2 x 5 = 946

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Find the perimeter of the quadrilateral that has vertices at (8,13), (5,-18), (-6,-6), and (-2,-5).
kodGreya [7K]

Answer:

72.14 units

Step-by-step explanation:

Let A(8,13), B(5,-18),C(-6,-6) and D(-2,-5)

Apply the distance formula as;

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Finding the lengths of the segments

For AB

AB=\sqrt{(5-8)^2+(-18-13)^2} =\sqrt{(-3^2)+(-31^2)} =\sqrt{970} =31.14

For BC

BC=\sqrt{(-6-5)^2+(-6--18)^2} =\sqrt{(-11^2)+12^2} =\sqrt{265} =16.28

For CD

CD=\sqrt{(-2--6)^2+(-5--6)^2} =\sqrt{4^2+1^2} =\sqrt{16+1} =\sqrt{17} =4.12

For DA

DA=\sqrt{(8--2)^2+(13--5)^2} =\sqrt{10^2+18^2} =\sqrt{424} =20.6

Finding the perimeter will be;

31.14+16.28+4.12+20.6=72.14 units

3 0
3 years ago
Allen is given three lengths of rope: 4 feet, 8 feet, and 15 feet. Can Allen form a triangle with side lengths of 4 feet, 8 feet
Nady [450]

B) No, set of side lengths does not satisfy Triangle Inequality Theorem

5 0
3 years ago
Read 2 more answers
Solve triangle ABC<br>B=56 degrees, a=14<br>​
aliya0001 [1]
I believe B - 56 and the other two would be 17? but I’m not completely sure
7 0
3 years ago
The art teacher is buying new tables to go in the art room. Each table can seat 4 students. The art class has 30 students. How m
bezimeni [28]

Answer:

T = 7.5

Step-by-step explanation:

One table = 4 students

  ? table = 30 students

To get the answer we criss-cross

30 * 1 = 4T(amount of table)

4T = 30

T = 30/4

T = 7.5

There should be 8 tables but the last table has 2 people sitting on it rather than 4.

5 0
2 years ago
Rewrite the expression in the form y^ny n y, start superscript, n, end superscript. \left(y^{^{\scriptsize -\dfrac12}}\right)^{4
sladkih [1.3K]

Answer

Today’s mathematicians would probably agree that the Riemann Hypothesis is the most significant open problem in all of math. It’s one of the seven Millennium Prize Problems, with a million dollar reward for its solution. It has implications deep into various branches of math, but it’s also simple enough that we can explain the basic idea right here.

There is a function, called the Riemann zeta function, written in the image above.

For each s, this function gives an infinite sum, which takes some basic calculus to approach for even the simplest values of s. For example, if s=2, then (s) is the well-known series 1 + 1/4 + 1/9 + 1/16 + …, which strangely adds up to exactly ²/6. When s is a complex number—one that looks like a+b, using the imaginary number —finding (s) gets tricky.

So tricky, in fact, that it’s become the ultimate math question. Specifically, the Riemann Hypothesis is about when (s)=0; the official statement is, “Every nontrivial zero of the Riemann zeta function has real part 1/2.” On the plane of complex numbers, this means the function has a certain behavior along a special vertical line. You can see this in the visualization of the function above—it’s along the boundary of the rainbow and the red. The hypothesis is that the behavior continues along that line infinitely.

The Hypothesis and the zeta function come from German mathematician Bernhard Riemann, who described them in 1859. Riemann developed them while studying prime numbers and their distribution. Our understanding of prime numbers has flourished in the 160 years since, and Riemann would never have imagined the power of supercomputers. But lacking a solution to the Riemann Hypothesis is a major setback.

If the Riemann Hypothesis were solved tomorrow, it would unlock an avalanche of further progress. It would be huge news throughout the subjects of Number Theory and Analysis. Until then, the Riemann Hypothesis remains one of the largest dams to the river of math research.

5 0
2 years ago
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