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harina [27]
2 years ago
9

Calculate the unpaid balance, finance charge, and new balance using the unpaid balance method. Note: interest rate is given as a

monthly rate.
Previous balance = $283.63
Payments/credits = $60.00

Unpaid balance = $ a. 343.63 b. 223.63

Monthly rate = 1.5%

Finance charge = $ a. 3.35 b. 4.25
New purchases = $51.36
New balance = $ a. 278.34 b. 223.63 c. 3.35
Mathematics
1 answer:
inn [45]2 years ago
5 0
Unpaid balance 283.63-60=223.63
Finance charge
223.63*(0.015/12)=3.35
New balance
223.63+3.35+51.36==278.34
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Answer:

(C1, C2, C3) = (K, K, -2K)

For K in the interval (-∞, ∞)

Step-by-step explanation:

Given

f1(x) = e^x

f2(x) = e^(-x)

f3(x) = sinh(x)

g(x) = 0

We want to solve for C1, C2 and C3, such that

C1f1(x) + C2f2(x) + C3f3(x) = g(x)

That is

C1e^x + C2e^(-x) + C3sinh(x) = 0

The hyperbolic sine of x, sinh(x), can be written in its exponential form as

sinh(x) = (1/2)(e^x + e^(-x))

So, we can rewrite

C1e^x + C2e^(-x) + C3sinh(x) = 0

as

C1e^x + C2e^(-x) + C3(1/2)(e^x + e^(-x)) = 0

So we have

(C1 + (1/2)C3)e^x + (C2 + (1/2)C3)e^(-x) = 0

We know that

e^x ≠ 0, and e^(-x) ≠ 0

So we must have

(C1 + (1/2)C3) = 0...........................(1)

and

(C2 + (1/2)C3) = 0..........................(2)

From (1)

2C1 + C3 = 0

=> C3 = -2C1.................................(3)

From (2)

2C2 + C3 = 0

=> C3 = -2C2................................(4)

Comparing (3) and (4)

2C1 = 2C2

=> C2 = C1

Let C1 = C2 = K

C3 = -2K

(C1, C2, C3) = (K, K, -2K)

For K in the interval (-∞, ∞)

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2 years ago
Mary spent $45 at the mall. She bought lunch for $9. She bought 3 shirts at
oee [108]

Answer:

x = 12

Step-by-step explanation:

If Mary spent $45 altogether,

then she bought lunch for $9

so our equation now is

$45 = $9 + 3x

It is 3x because he bought 3 shirts and we used x because we didnt

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Find the length of the third side of the right triangle.
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Answer: you can use Pythagorean theorem , which formula is a^{2} + b^{2} =c^{2}, "a" and "b" are the sides, and "c" is the hypotenuse (the longest side, the side opposite to the 90 degree angle)

<em>Example:</em>

If they give that one side is 2 inches and the other side is 4 and you need to find the hypotenuse it would be like this:

1) plug the numbers to the formula

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16 + 36 = c^2

3) combine like terms (in this case 16 +36)

52 = c^2

4) Finally, Find the square root of "c" to remove its exponent and do the same to the other side, in this case 52)

\sqrt{52}  = \sqrt{c}

(square root of 52 rounded to the nearest hundred is 7.21)

7.21 = c

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Answer:

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