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Andreas93 [3]
3 years ago
6

Please answer this ASAP need it fast.

Mathematics
1 answer:
alexgriva [62]3 years ago
6 0

Answer:

Step-by-step explanation:

-\frac{2}{3}a+\frac{5}{6}a-\frac{1}{6}

Like term are       -\frac{2}{3}a+\frac{5}{6}a, LCD of 3 ,6 = 6

\frac{-2*2}{3*2}a+\frac{5}{6}a-\frac{1}{6}=\frac{-4}{6}a+\frac{5}{6}a-\frac{1}{6}\\\\=\frac{(-4+5)}{6}a-\frac{1}{6}\\\\=\frac{1}{6}a-\frac{1}{6}\\

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Hoochie [10]

Answer:

1/2

Step-by-step explanation:

(-4--2)/(3-7)=-2/-4=1/2

3 0
4 years ago
Read 2 more answers
The total cost (in dollars) of producing x food processors is C(x) = 2500 + 50x -0.28.
Darya [45]

Answer:

The exact cost of producing the 21st food processor is $38.52.

The marginal cost to approximate the cost of producing the 21st food processor is $38.24

Step-by-step explanation:

Consider the provided function.

C(x) = 2500 + 50x -0.28x^2

(A) Find the exact cost of producing the 21st food processor

The exact cost producing 21st food processor is C(21)-C(20)

Substitute x=21 in above function.

C(x) = 2500 + 50(21) -0.28(21)^2

C(x) = 2500 +1050 -123.48

C(x) = 3426.52

Substitute x=20 in above function.

C(x) = 2500 + 50(20) -0.28(20)^2

C(x) = 2500 +1000-112

C(x) = 3388

The exact cost producing is:

C(21)-C(20)=3426.52-3388=38.52

Hence, the exact cost of producing the 21st food processor is $38.52.

Part (B) Use the marginal cost to approximate the cost of producing the 21st food processor,

To find the marginal cost first differentiate the function with respect to x.

C(x) = 2500 + 50x -0.28x^2

C'(x) =50-0.56x

Now substitute x=21 in above function.

C'(x) =50-0.56(21)

C'(x) =50-11.76

C'(x) =38.24

The marginal cost to approximate the cost of producing the 21st food processor is $38.24

5 0
3 years ago
On two examinations, you have grades of 87 and 86. There is an optional final examination, which counts as one grade. You decide
noname [10]

Step-by-step explanation:

We have

87+86+x

T is the total scores

n is number of tests done = 3

T/n is greater than or equal to 90

To get minimum test

T/n = 90

T = 90*n

= 90n

We solve for x

Remember n = 3

90x3 = 270

270 = 87+86+x

270 = 173+x

X = 270-173

X = 97

1.

X = 97

2.

You didn't add a value in your part b question. I used 80 though.

T/n < 80

T<80n

80x3= 240

T<240

87+86+x<240

X<240-173

X<67

X has to be less than 67 so we conclude that if x <=67 b grade will be lost.

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AveGali [126]

Answer:

I'm not sure sorry


Step-by-step explanation:


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4 years ago
A person invests $1000 in a bank. The bank pays 6% interest compounded monthly. To the nearest tenth of a year, how long must th
liraira [26]

Answer:

18 years, 4 months and 10 days.

Step-by-step explanation:

Given that the person invests $ 1000 in an account with compound interest each month, with an interest rate of 6%, to determine how long the investment must maintain to reach $ 3,000, the following calculation must be performed:

3,000 = 1,000 (1 + 0.06 / 12) ^ Yx12

3,000 = 1,000 (1 + 0.06 / 12) ^ 18.36x12

3,000 = 3,000

Therefore, the person must keep his investment for a period of 18.36 years. Since 12 x 0.36 is equal to 4.32, the total investment time should be 18 years, 4 months and 10 days.

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