A
(-2c-3d) (- 11) (- 2c-3d) (- 11) left parenthesis, minus, 2, c, minus, 3, d, right parenthesis, left parenthesis, minus, 11, right parenthesis
C
(66c + 99d) \ cdot \ dfrac {1} {3} (66c + 99d) ⋅ 3
1 left parenthesis, 66, c, plus, 99, d, right parenthesis, dot, start fraction, 1, divided by, 3, end fraction
<span> E
11\cdot(2c+3d)11⋅(2c+3d)11, dot, left parenthesis, 2, c, plus, 3, d, right parenthesis
</span> answer
(-2c-3d) (- 11) = 22c + 33d
(66c + 99d) * 1/3 = 22c + 33d
11 * ( 2c+3d) = 22c + 33d
a)
Answer: 0.91 m
Explanation:
We know that,
P.E. = m g h
Where,
P.E = Potential energy
m = Mass of the object
g = acceleration due to gravity (9.8 m/s²)
It is given that, m = 1.5 kg
P.E. = 13.44 J
⇒ 13.44 = 1.5 kg × 9.8 m/s² × h
⇒ h = 0.91 m
Hence, apple sits om 0.91 m tall counter.
b)
Answer: 216 J
Explanation:
P.E. = m g h
Weight, mg = 120 N ( given)
height, h = 1.8 m ( given)
The energy possessed by the suitcase is due to virtue of its position (gravitational potential energy)
P.E. = 120 N × 1.8 m = 216 J
Hence, the energy possessed by the suitcase sitting on the counter is 216 J.
Gaming a video-game designer is using the expression 6n3 in a program to determine points earned, where n is the game level.
Given expression is 
. the given expression is for the nth level.
To simplify the expression for the 
level, we plug in in the place of 'n' in the given expression
(multiply the exponents)
Answer:
Total cost of repayment is $10,852.92
Step-by-step explanation:
Firstly, we need to calculate the interest attached to this loan repayment
To calculate this, we use the formula for simple interest
Mathematically,
I = 
where P is the amount borrowed which is $9,000
R is the rate which is 4.5%
T is the time which is 3 years
Plugging these values, we have
I = (9000×4.5×3)/100 = $1,215
Now we were also told in the question that she will make a monthly repayment of $267.72
Now the number of months in 3 years is 36 months. Total monthly repayment = 267.72 × 36 = $9637.92
Adding the interest amount, we have 9637.92 + 1215 = $10,852.92
