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3 years ago

I need help with this!

Mathematics

1 answer:

ruslelena [56]3 years ago

7 0

|12| ÷ 2 • |-5|
= 12 ÷ 2 • 5
= 6 • 5
= 30
Absolute values just make the number positive if it is negative. The number stays positive if it’s positive.

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A bank made a farmer loan of $1,000 at 14% for 3 years compounded annually. Find the future value and the compound interest paid

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Answer:

Principal = $1,000

Rate of interest = 14% = 0.14

Time = 3 years

$A= P(1+r)^t$

A = Amount or future value

P = Principal

r = rate of interest in decimals

t = time

Substitute the values in the formula

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$SI =420$

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3 years ago

When making a long distance call from a certain pay phone, the first three minutes of a call cost $2.10. After that, each additi

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Answer: the number of minutes of long distance call that one can make is lesser than or equal to 12 minutes.

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Let x represent the number of minutes of long distance call that one makes.

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2.10 + 0.45(x - 3) ≤ 6.15

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3 years ago

In an auditorium, a charity show is conducted in order to raise at least $3,750. The auditorium can accommodate up to 180 specta

Maksim231197 [3]

Answer:

See explanation

Step-by-step explanation:

Let $x,\ x\ge 0$ be the number of students and $y,\ y\ge 0$ be the number of adults on the show.

1. Tickets cost $15 for students, so x student tickets cost $15x.

Tickets cost $25 for adults, so y adult tickets cost $25y.

Total cost of all tickets is $(15x + 25y).

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2. The auditorium can accommodate up to 180 spectators, hence

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3. We get the system of inequalities:

$\left\{\begin{array}{l}x\ge 0\\y\ge 0\\x+y\le 180\\15x+25y\ge 3,750\end{array}\right.$

Plot all solutions sets to each inequality and the common region is the solution set to the system of inequalities. This region is not empty, so the charity will reach its goal. For example, if they sell 50 students tickets and 125 adult tickets, they will raise $\$(15\cdot 50+25\cdot 125)=\$3,875$

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