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fenix001 [56]
2 years ago
11

Jenna borrowed $5,000 for 3 years and had to pay $1,350 simple interest at the end of that time. What RATE of interest did she p

ay?*
6%
10%
8%
9%
Mathematics
1 answer:
mote1985 [20]2 years ago
7 0

Answer:

Simple Interest =PRT/100

Rate= I ×100/PT

=1350×100/5000×3

135000/15000

=9%

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Part A: how many solutions dose the pair of equations for lines A and B have?
Ede4ka [16]

Any line can be expressed in the form y=mx+b where m is the slope and b is y intercept.

Two lines can either be parallel ,overlap or meet at one point .Let us look at different cases :

1)When two lines are parallel they do not intersect at any point and hence the system of equations have no solution.

2) When two lines overlap each other then the two lines touch each other at infinite number of points and we say the system of equations have infinite solutions.

3) When two lines intersect each other at one point we say the system of equation has one solution.

Part A:

The given lines are intersecting at one point so we have one solution.

Part B:

The point of intersection is the solution to the system of equations .In the graph the point of intersection of the lines is (4,4)

Solution is (4,4)

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3 years ago
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The volume of a cylinder with a height of 2 and radius of 3
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Answer:

v = 18π

Step-by-step explanation:

v = πr²h

plug in the givens

v = π(3²)2

v = 18π   exact answer

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3 years ago
Braniliest ASAP<br><br><br> thanks!
Leokris [45]
The answer that you are looking for is d
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3 years ago
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The first, third and thirteenth terms of an arithmetic sequence are the first 3 terms of a geometric sequence. If the first term
Salsk061 [2.6K]

Answer:

The first three terms of the geometry sequence would be 1, 5, and 25.

The sum of the first seven terms of the geometric sequence would be 127.

Step-by-step explanation:

<h3>1.</h3>

Let d denote the common difference of the arithmetic sequence.

Let a_1 denote the first term of the arithmetic sequence. The expression for the nth term of this sequence (where n\! is a positive whole number) would be (a_1 + (n - 1)\, d).

The question states that the first term of this arithmetic sequence is a_1 = 1. Hence:

  • The third term of this arithmetic sequence would be a_1 + (3 - 1)\, d = 1 + 2\, d.
  • The thirteenth term of would be a_1 + (13 - 1)\, d = 1 + 12\, d.

The common ratio of a geometric sequence is ratio between consecutive terms of that sequence. Let r denote the ratio of the geometric sequence in this question.

Ratio between the second term and the first term of the geometric sequence:

\displaystyle r = \frac{1 + 2\, d}{1} = 1 + 2\, d.

Ratio between the third term and the second term of the geometric sequence:

\displaystyle r = \frac{1 + 12\, d}{1 + 2\, d}.

Both (1 + 2\, d) and \left(\displaystyle \frac{1 + 12\, d}{1 + 2\, d}\right) are expressions for r, the common ratio of this geometric sequence. Hence, equate these two expressions and solve for d, the common difference of this arithmetic sequence.

\displaystyle 1 + 2\, d = \frac{1 + 12\, d}{1 + 2\, d}.

(1 + 2\, d)^{2} = 1 + 12\, d.

d = 2.

Hence, the first term, the third term, and the thirteenth term of the arithmetic sequence would be 1, (1 + (3 - 1) \times 2) = 5, and (1 + (13 - 1) \times 2) = 25, respectively.

These three terms (1, 5, and 25, respectively) would correspond to the first three terms of the geometric sequence. Hence, the common ratio of this geometric sequence would be r = 25 /5 = 5.

<h3>2.</h3>

Let a_1 and r denote the first term and the common ratio of a geometric sequence. The sum of the first n terms would be:

\displaystyle \frac{a_1 \, \left(1 - r^{n}\right)}{1 - r}.

For the geometric sequence in this question, a_1 = 1 and r = 25 / 5 = 5.

Hence, the sum of the first n = 7 terms of this geometric sequence would be:

\begin{aligned} & \frac{a_1 \, \left(1 - r^{n}\right)}{1 - r}\\ &= \frac{1 \times \left(1 - 2^{7}\right)}{1 - 2} \\ &= \frac{(1 - 128)}{(-1)} = 127 \end{aligned}.

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Studentka2010 [4]

Answer:

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Step-by-step explanation:

Apply exponent to number first, then expand the variable's exponent into repeated multiplication.

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