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Sholpan [36]
3 years ago
9

The time needed to roast a chicken depends on its weight. Allow at least 20min/lb for a chicken weighing as much as 6 lb. Allow

at least 15 min/lb for a chicken wieghing more than 6 lb.
a. Write two inequalities to represent the time needed to roast a chicken.

b. Graph the inequalities.
Mathematics
1 answer:
Aleksandr [31]3 years ago
8 0
B. Graph the inequalities
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76. Currently, your savings for each month is capped at $400. If you start investing all of this into a savings plan earning 1%
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Answer:

10 years and 10 months.

Step-by-step explanation:

The annually interest rate (ia) can be converted by monthly (im) by the equation:

(1 + im)¹² = 1 + ia

(1 + im)¹² = 1 +0.01

(1 + im)¹² = 1.001 (putting ln in both sides)

ln(1 + im)¹² = ln1.001

12*ln(1 + im) = 1.0x10⁻³

ln(1 + im) = 8.33x10⁻⁵(applying "e in both sides)

e^{ln(1 + im)} = e^{8.33x10^{-5}}

1 + im = 1.00083

im = 0.00083 = 0.083%

For a investimenting, the final amount (A) can be calculated by:

A = R*(\frac{(1+i)^n-1}{i} )

Where R is the amount invested per month, i is the interest, and n the number of months:

160000 = 400 *\frac{(1 +0.00083)^n - 1}{0.00083}

\frac{(1 +0.00083)^n - 1}{0.00083} = 400

1.00083ⁿ - 1 = 0.332

1.00083ⁿ = 1.332 (applying ln in both sides)

n*ln1.00083 = ln1.332

8.3x10⁻⁴n = 0.2867

n = 345.4 months

345.4 months *1 yea12 months = 10 years and 10 months.

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In preperation for halloween emily has made up a bag of her favorite candy. For every 4 tootsie rolls there are 7 smarties. She
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Answer:

105

Step-by-step explanation:

60/4= 15

15x7= 105

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Find the values of x, the lengths of AB and BC
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Step-by-step explanation:

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3 years ago
1 Javier has at most $15.00 to spend today. He buys a bag of pretzels and a bottle of juice for $2.59. If gasoline at this store
Art [367]

Answer:

Javier can buy <em>at maximum</em> about 3.7 gallons of oil.

Step-by-step explanation:

Let g represent the amount of gasoline in galloons.

We know that Javier has at most $15.00 to spend. In other words, the total cost after buying the snacks and gasoline must be <em>less than or equal to </em>15.

He already bought a snack and a drink for a total of $2.59.

And each gallon of gasoline costs $3.39.

So, we can write the following inequality:

2.59+3.39g\leq 15.00

To find how many galloons of gasoline Javier can buy, we will need to solve for g.

So, subtract 2.59 from both sides. This yields:

3.39g\leq12.41

Divide both sides by 3.39:

g\leq3.66

So, Javier can buy <em>at maximum</em> about 3.7 gallons of oil.

And we're done!

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She has to buy $100.00 worth of groceries before her savings equals the membership fee.
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