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2 years ago

6

you put $3000 in a CD (certificate of deposit) at the promotional rate of 5.6% simple interest. How long will it take to earn $3

36 in interest?

1 answer:

Wewaii [24]2 years ago

6 0

Answer:

1 year 9 months

Step-by-step explanation:

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PLEASE HELP SOON<br> Find the length of x.

DochEvi [55]

<h2>Hello!</h2>

The answer is:

The length of "x" is equal to 4 units.

<h2>Why?</h2>

To solve the problem and find the length of x, we need to remember the alternate angles rule. The alternate angles rule establish that alternate angles will be also equal.

So, for the triangles, we have:

The angle((α)) formed between the base (2.5) and the hypotenuse (5) of the big triangle is equal to the angle(α) formed between the base (2) and the hypotenuse (x) of the small triangle. It also means that the triangles are similar since they have congruent angles(α) and proportional sides (SAS).

We are given:

First triangle,

$AdjacentSide=2.5\\Hypotenuse=5\\$

Second triangle,

$AdjacentSide=2\\Hypotenuse=x\\$

So, using the cosine identity, we have:

$Cos(\alpha)=\frac{AdjacentSide}{Hypotenuse}$

$Cos(\alpha)=\frac{2.5}{5}=\frac{2}{x}$

$Cos(\alpha)=\frac{2.5}{5}=\frac{2}{x}\\\\\frac{2.5}{5}=\frac{2}{x}\\\\x=2*\frac{5}{2.5}=4$

Therefore, we have that the hypotenuse of the second triangle (x) is equal to 4 units.

Hence, the length of "x" is equal to 4 units.

Have a nice day!

3 0

2 years ago

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The 10th term of an arithmetic sequence is 10 and the sum of the first 10 terms is -35. Find the first term a1, and the common d

lina2011 [118]

The first term is − 17 and the common difference is 3

8 0

3 years ago

Find the exact solutions of x2 − 3x − 5 = 0 using the quadratic formula. Show all work! 75 points please help!!!!!

noname [10]

Answer:

$x=\dfrac{3+ \sqrt{29}}{2}, \quad \dfrac{3- \sqrt{29}}{2}$

Step-by-step explanation:

<u>Quadratic Formula</u>

$x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\quad\textsf{when }\:ax^2+bx+c=0$

<u>Given quadratic equation</u>:

$x^2-3x-5=0$

<u>Define the variables</u>:

$\implies a=1, \quad b=-3, \quad c=-5$

<u>Substitute</u> the defined variables into the quadratic formula and <u>solve for x</u>:

$\implies x=\dfrac{-(-3) \pm \sqrt{(-3)^2-4(1)(-5)}}{2(1)}$

$\implies x=\dfrac{3 \pm \sqrt{9+20}}{2}$

$\implies x=\dfrac{3 \pm \sqrt{29}}{2}$

Therefore, the exact solutions to the given <u>quadratic equation</u> are:

$x=\dfrac{3+ \sqrt{29}}{2}, \quad \dfrac{3- \sqrt{29}}{2}$

Learn more about the quadratic formula here:

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1 year ago

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Describe the relationship between the 6

Maru [420]

The relationship between the 6 in 45,369 and the 6 in 67,420 is that; Clearly, they are not the same values. When written out, 45,369 has a 6 in the tens place, whereas 67,420 has a 6 in the hundreds of thousands place. This is further explained below.

<h3>What are relations b/w numbers?</h3>

Generally, A percentage is another name for this concept. One variant of this word is the "percent," which refers to the ratio of the number of items in a collection to the total number of items in the collection.

In conclusion, natural numbers are a component of the number system that counts from one to infinity and contains all positive integers from one to infinity. Natural numbers are also utilized for the purpose of counting. It does not contain zero (0). In point of fact, the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, etc. are sometimes referred to as counting numbers.

The six that are found in the number 45,369 and the six that are found in the number 67,420 are related in the sense that; Obviously, these are not the same values. In written form, the number 67,420 has a six in the tens place, but the number 45,369 has a six in the hundreds of thousands place.

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1 year ago

Please answer this !!!!

likoan [24]

The answer is B.
Slope is 3; point (2,7)
7=3(2)+B
7=6+B
1=B
M=3
y=3x+1 slope intercept form
3x -y = -1 standard form

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3 years ago

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