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kolezko [41]
3 years ago
8

You deposit $975.52 in a bank account. Find the balance after 4 years if the account pays 7.25% annual interest compounded quart

erly
Mathematics
1 answer:
sladkih [1.3K]3 years ago
4 0

Answer:

The final ballance will be $1300.37.

Step-by-step explanation:

In this case we have a compounded interest, in order to calculate the final balance we need to use the following formula:

S = P(1 + r/n)^(n*t)

Where S is the final balance, P is the initial investment, r is the rate of interest, t is the time and n is the rate at which it is compounded. Since we have all the values we can directly apply to the formula as follows:

S = 975.52*(1 + 0.0725/4)^(4*4)

S = 975.52*(1.018125)^(16)

S = 975.52*1.333

S = 1300.37

The final ballance will be $1300.37.

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A man sells a sofa for rs 3210 making a profit of 7% what would have been his profit percent if he had sold it for rs 3360?
Digiron [165]
Let x be the original cost for the sofa.
X x (1 + 0.07) =3210
X = 3000
Now we know the cost for the sofa.
Let p be the profit percent.
3000 x (1 + p) = 3360
P = 0.12
So the percentage profit is 12%
7 0
3 years ago
How many real-number solutions does the equation have?
Nataly_w [17]

Answer:

Option b. Two solutions

Step-by-step explanation:

In order to find how many real number solutions the equation has we have to solve it

Given equation: -4x² + 10x + 6 = 0

taking 2 common from the equation

2(-2x² + 5x + 3) = 0

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taking minus sign common from the above equation

2x² - 5x - 3 = 0

We will solve this equation by factorization in such a way that the sum of two factors is equal to -5x and the product is -6x²

2x² - 6x + x - 3 = 0

taking common above

2x(x-3) + 1(x-3) = 0

taking (x-3) common

(2x+1)(x-3) = 0

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x = \frac{-1}{2}

x - 3 = 0; x = 3

the solutions are

x=\frac{-1}{2},3

Both values are real numbers, therefore correct option is b

7 0
3 years ago
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The candle factory made 498 red candles and 204 white candles each day. About how many candles did the factory make in a day alt
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Answer:

about 700

Step-by-step explanation:

you add 204 + 498=

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yKpoI14uk [10]
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I don't understand your question but here's some sample of simplify

Step-by-step explanation:

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The parenthetical portion still simplifies to 1, but this time the "minus" is out in front of the parentheses; that is, it's out from under the power, so the exponent doesn't touch it. So the answer in this case is:

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