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2 years ago

Simplify the linear expression

Mathematics

1 answer:

vekshin12 years ago

5 0

Answer:

$\huge\boxed{-\frac{7}{8}a - \frac{1}{6}}$

Step-by-step explanation:

This question utilizes combining like terms and common denominators. First you have to convert both terms including "a" to have a denominator of 8. You would do this by multiplying both the numerator, and the denominator by the same value. This value in the case of $-\frac{1}{4} a$ would be 2, and in the case of $\frac{2}{3}$ the value would be 2. This would result in the equation: $-\frac{5}{8}a+\frac{4}{6}-\frac{2}{8}a-\frac{5}{6}$ . Then simply combine like terms to get your final answer.

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You deposit $300 in a savings account that pays 6% interest compounded semiannually. How much will you have at the middle of the

Otrada [13]

Answer:

Please check the explanation.

Step-by-step explanation:

a) How much will you have at the middle of the first year?

Principle P = $300

Annual rate r = 6% = 0.06 per year

Compound n = Semi-Annually = 2

Time (t in years) = 0.5 years

Total amount = A = ?

Using the formula

$A\:=\:P\left(1+\frac{r}{n}\right)^{nt}$

substituting the values

$A=300\left(1+\frac{0.06}{2}\right)^{\left(2\right)\left(0.5\right)}$

$A=300\cdot \frac{2.06}{2}$

$A=\frac{618}{2}$

$A=309$ $

Therefore, the total amount accrued, principal plus interest, from compound interest on an original principal of $ 300.00 at a rate of 6% per year compounded 2 times per year over 0.5 years is $ 309.00.

Part b) How much at the end of one year?

Principle P = $300

Annual rate r = 6% = 0.06 per year

Compound n = Semi-Annually = 2

Time (t in years) = 1 years

Total amount = A = ?

Using the formula

$A\:=\:P\left(1+\frac{r}{n}\right)^{nt}$

so substituting the values

$A\:=\:300\left(1+\frac{0.06}{2}\right)^{\left(2\right)\left(1\right)}$

$A=300\cdot \frac{2.06^2}{2^2}$

$A=318.27$ $

Therefore, the total amount accrued, principal plus interest, from compound interest on an original principal of $ 300.00 at a rate of 6% per year compounded 2 times per year over 1 year is $ 318.27.

7 0

3 years ago

Find the probability of throwing 9 with two dice.

ololo11 [35]

Total number of possible outcomes of throwing two dice = 6×6 = 36
Number of outcomes of getting 9 i.e, (3+6),(4+5),(5+4),(6+3) = 4

$P = \frac{Number \: of \: favourable \: outcomes}{ Total \: number \: of \: possible \: outcomes}$

$P (throwing \: 9) = \frac{4}{36} = \frac{1}{9}$

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3 years ago

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svetlana [45]

Answer:

If T is tablespoons, 32 oz= 64 T.

Step-by-step explanation:

32 x 2= 64

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3 years ago

What is the inequality shown

CaHeK987 [17]

Answer:

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3 years ago

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Sati [7]

Answer:

$d = \frac{4 - 3c}{c + 1}$