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3 years ago

Evaluate (-12)(-2) ^2

Mathematics

1 answer:

vazorg [7]3 years ago

7 0

Answer:

- 48

Step-by-step explanation:

by PEDMAS, we evaluate the exponent first before the multiplication

(-12)·(-2)²

= (-12)·(4)

= - 48

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Four friends buy cinema tickets using this offer. Cinema tickets buy 3 tickets and get a ticket free they each pay £6.15 how muc

laila [671]

The cost of one ticket will be £8.20

Explanation

Suppose, the cost of one ticket is $x$

As the offer says "buy 3 tickets and get a ticket free" , it means they actually need to pay for 3 tickets.

So, the total cost of 3 tickets $=3x$

Each of four friends pay £6.15 , so the total amount they pay $=\£6.15 *4 = \£24.60$

Thus, the equation will be .....

$3x=24.60\\ \\ x=\frac{24.60}{3}=8.20$

So, the cost of one ticket will be £8.20

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3 years ago

Find the slope of the line through the given points. 7. (-3, -3), (1, -5)

expeople1 [14]

1-5 through the given lines its 1-5 if not then its kinda difficult can i get a picture

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3 years ago

Ball B, with a mass of 30kg, is moving to the left at -10 m/s. With what velocity should Ball A, with a mass of 10 kg, move to t

tangare [24]

Initially, Ball A of 10 kg will have velocity x, while Ball B of 30 kg has velocity -10 m/s.
After collision, Ball A will have a velocity of -30 m/s, while Ball B will have velocity 10 m/s. We assume their masses do not change.
(10 kg)(x m/s) + (30 kg)(-10 m/s) = (10 kg)(-30 m/s) + (30 kg)(10 m/s)
10x - 300 = -300 + 300
x = 30 m/s (to the right)

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4 years ago

12 workers build a wall in 10 hours.How long does 5 workers build a wall?

Basile [38]

Answer:

5 hours

Step-by-step explanation:

Each person works at a rate 1/100 of wall completed per hour.So five men working at the rate would be 5/100. So, it would...

6 0

3 years ago

After four years of college, Erica has to start paying off all her student loans. Her first payment is due at the end of this mo

tatiyna

Answer:

Therefore, the approximate monthly payment is $548.85

Step-by-step explanation:

The amount of student loans Erica currently has = $34,006.00

The duration over which Erica is to pay back the loan = 7 years

The annual interest rate for the loan = 9.1%

Therefore, we have the geometric sequence formula is given as follows;

$A_n = P( 1 + r)^n - M \times \left [ \dfrac{(1 + r)^n-1}{r} \right ]$

Where;

M = The monthly payment

P = The initial loan balance = $34,006.00

r = The annual interest rate = 9.1%

n = The number of monthly payment = 7 × 12 = 84

Aₙ = The amount remaining= 0 at the end of the given time for payment

Substituting the values into the above formula, , we get;

$0 = 34006 \times \left ( 1 + \dfrac{0.091}{12} \right )^{84} - M \times \left [ \dfrac{\left (1 + \dfrac{0.091}{12} \right )^{84}-1}{\dfrac{0.091}{12} } \right ]$

$M = \dfrac{34006 \times \left ( 1 + \dfrac{0.091}{12} \right )^{84} }{\left [ \dfrac{\left (1 + \dfrac{0.091}{12} \right )^{84}-1}{\dfrac{0.091}{12} } \right ]} \approx 548.85$

Therefore, the approximate monthly payment = $548.85

6 0

4 years ago