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Dmitry_Shevchenko [17]
3 years ago
15

Rebecca has a credit line of $6,500. She had a previous balance of $398.64 and made a payment of $250. The total of her purchase

s is $1,257.99. What is Rebecca's available credit?
Mathematics
1 answer:
valentina_108 [34]3 years ago
4 0

Answer:

$5093.37

Step-by-step explanation:

To get Rebecca's available credit we need to take all of her payments and purchases and previous balance.

Previous balance = $398.64

Purchases = $1,257.99

Payment = $250

Credit Line = $6,500

Now first we add together her purchases and previous balance.

398.64 + 1,257.99

This will give us:

$1,656.63 Total deductions.

Now we subtract that to her credit line.

$6500.00 - $1656.63

$4843.37

Now we take her payment and add it to her credit line.

$4843.37 + $250

$5093.37

So Rebecca's available credit is $5093.37.

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Angle B is 45% of angle A. Angle C is 35% of angle A. What is the measurement of angle A?
mafiozo [28]

We assume , A, B, and C are angles of a triangle.
The sum of angles of a triangle is equal to 180º; therefore:
A+B+C=180º

B is 45% of angle A; then B=0.45A
C is 35% of anble A; Then C=0.35A

We can suggest this equation;
A+0.45A+0.35A=180
1.8A=180
A=180/1.8
A=100

Answer: The measurement of angle A is 100º.
3 0
3 years ago
What is the sum of the roots of the polynomial shown below?<br> f(x) = x^3 + 2x^2 - 11x-12
svp [43]

<u>Answer:  </u>

Sum of the roots of the polynomial x^{3}+2 x^{2}-11 x-12 \text { is }-2

<u>Solution:</u>

The general form of cubic polynomial is a x^{3}+b x^{2}+c x+d=0 ---- (1)

If we have any cubic polynomial a x^{3}+b x^{2}+c x+d=0 having roots \alpha , \beta , \theta

Sum of roots \alpha + \beta + \theta = \frac{-b}{a} ---(2)

From question given that,

x^{3}+2 x^{2}-11 x-12 --- (3)

On comparing equation (1) and (3), we get a = 1, b = 2, c = -11 and d = -12

Hence the sum of roots using eqn 2 is given as,

= \frac{-2}{1}

= -2

Hence the sum of the roots of the polynomial x^{3}+2 x^{2}-11 x-12 \text { is }-2

4 0
3 years ago
Logarithms- How to answer these questions?
kotykmax [81]

Answer:

2. m = b³ (= 216)

3. logp(x) = -4

Step-by-step explanation:

2. The given equation can be written using the change of base formula as ...

... log(m)/log(b) + 9·log(b)/log(m) = 6

If we define x = log(m)/log(b), then this becomes ...

... x + 9/x = 6

Subtracting 6 and multiplying by x gives ...

... x² -6x +9 = 0

... (x -3)² = 0 . . . . . factored

... x = 3 . . . . . . . . . value of x that makes it true

Remembering that x = log(m)/log(b), this means

... 3 = log(m)/log(b)

... 3·log(b) = log(m) . . . . . multiply by the denominator; next, take the antilog

... m = b³ . . . . . . the expression you're looking for

___

3. Substituting the given expression for y, the equation becomes ...

... logp(x^2·(p^5)^3) = 7

... logp(x^2) + logp(p^15) = 7 . . . . . use the rule for log of a product

... 2logp(x) + 15 = 7 . . . . . . . . . . . . . use the definition of a logarithm

... 2logp(x) = -8 . . . . . . . . . . . . . . . . subtract 15

... logp(x) = -4 . . . . . . divide by 2

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The answer should be B. Hope this helped
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