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Pepsi [2]
2 years ago
9

Matt paid $450 in interest on a 15 month note for $5600. Find the rate of interest paid.

Mathematics
1 answer:
Olin [163]2 years ago
7 0

Answer:

The rate is 6.43%

Step-by-step explanation:

Given

I = 450 --Interest

P = 5600 -- Principal

T= 15\ months --Time

Required

Determine the rate

Using simple interest formula:

I = PRT

Make R the subject

R = \frac{I}{PT}

Convert time to years

T= 15\ months

T =\frac{15}{12}\ years

T =1.25\ years

Substitute values for I, P and T

R = \frac{450}{5600*1.25}

R = \frac{450}{7000}

R = 0.0643

Convert to percentage

R = 0.0643*100\%

R = 6.43\%

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2 years ago
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What is the 8th term of the geometric sequence with this explicit formula ?
Alina [70]

Answer: C.) - 896

Step-by-step explanation:

Given the explicit formula :

An = 7 × (-2)^(n-1)

The 8th term of the geometric sequence using the formula will be :

n = 8

A8 = 7 × (-2)^(8-1)

A8 = 7 × (-2)^7

A8 = 7 × (-128)

A8 = - 896

7 0
3 years ago
A 42-inch piece of steel is cut into 3 pieces so that the 2nd piece is twice as long as the 1st piece, and the 3rd piece is 2 in
Galina-37 [17]

Answer:

1st piece = Piece A = 5 inches

2nd piece = Piece B = 10 inches

Third Piece = Piece C = 27 inches

Step-by-step explanation:

A 42-inch piece of steel is cut into 3 pieces

Let the lengths be represented as:

1st piece = Piece A

2nd piece = Piece B

Third Piece = Piece C

Hence:

A + B + C = 42

The 2nd piece is twice as long as the 1st piece

B = 2A

The 3rd piece is 2 inches more than 5 times the length of the first piece.

C = 5A + 2

Hence: we substitute

A + B + C = 42 inches

A + 2A + 5A + 2 = 42 inches

8A = 42 - 2

8A = 40 inches

A = 40 inches/8

A = 5 inches

Solving for B

B = 2A

B = 2 × 5 inches

B = 10 inches

Solving for C

C = 5A + 2

C = 5 × 5 + 2

C = 25 + 2

C = 27 inches

Therefore, the lengths of the 3 pieces =

1st piece = Piece A = 5 inches

2nd piece = Piece B = 10 inches

Third Piece = Piece C = 27 inches

4 0
3 years ago
In a small Library there are five non-fiction books for every nine fiction book there are 130 Non-fiction books how many fiction
vova2212 [387]

Answer:

For 130 non-fiction books, the number of fiction books can be from 270 to 278.

Step-by-step explanation:

Given that, there are 5 non-fiction books for every 9 fiction books.

Observe that, if the number of fiction books is less than 9, than there will be no no-fiction books.

So, there are 5 non-fiction books for every 9 to (9+8) fiction books

So, by elementary method, there will be 5n non-fiction books for every 9n+8 fiction books, where n is a natural number.

Or, if the number of non-fiction books is 5n, then the number of fiction books will be ranging from 9n to (9n+8).

For, 150 non-fiction books, 5n=150 or n=150/5=30.

Hence, the number of fiction books can be from 9n to (9n+8).

=9x30 to (9x30+8)

=270 to 278.

Hence, for 130 non-fiction books, the number of fiction books can be from 270 to 278.

6 0
3 years ago
6x+5x-8=-41 what property is this ?
Allisa [31]

Standard form

6x+5x-8 =-41

Is in standard form

6 0
3 years ago
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