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ale4655 [162]
2 years ago
6

Find the difference: (20x + 3) - (7x - 5) *

Mathematics
1 answer:
OlgaM077 [116]2 years ago
3 0

Answer:

27x - 2

Step-by-step explanation:

First off, we use commutative property to get the like terms together.

(20x + 7x) - (3-5)

Now we can solve the equations inside the parenthesis.

27x - (-2)

Because these aren't like terms, this is as far as we can go. Meaning 27x - 2

is out answer.

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When a deposit of $1000 is made into an account paying 2% interest, compounded annually, the balance, $B, in the account after t
labwork [276]

Answer:

The average rate of change in the balance over the interval t = 0 to t = 5 is of $20.82 a year. This means that the balance increased by $20.82 a year over the interval t = 0 to t = 5.

Step-by-step explanation:

Given a function y, the average rate of change S of y=f(x) in an interval (x_{s}, x_{f}) will be given by the following equation:

S = \frac{f(x_{f}) - f(x_{s})}{x_{f} - x_{s}}

In this problem, we have that:

B(t) = 1000(1.02)^{t}

Find the average rate of change in the balance over the interval t = 0 to t = 5.

B(0) = 1000(1.02)^{0} = 1000

B(5) = 1000(1.02)^{5} = 1104.08

Then

S = \frac{1104.08 - 1000}{5-0} = 20.82

The average rate of change in the balance over the interval t = 0 to t = 5 is of $20.82 a year. This means that the balance increased by $20.82 a year over the interval t = 0 to t = 5.

8 0
3 years ago
Which expression is equivalent to 5(w+4) when w=9
erica [24]

Answer: Should be 5(9)+4

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The probability that a household owns a pet is 0. 55. Suppose there are 5 houses on a block. Assuming each household is independ
Alexandra [31]

If the probability that a household owns a pet is 0.55 then the probability that all households will have pets is equal to 0.0503.

Given that the probability that a household owns a pet is 0.55 and there are 5 houses on a block.

We are required to calculate the probability that all the five households will have pets.

Probability is basicallly the chance of happening an event among all the events possible. It cannot be negative.

Binomial probability distribution is basically the probability calculations but in different combinations.

In this we have to calculate the probability that all the houses will have the pets then the probability that all five households will have pets is equal to 5C_{5}(0.55)^{5} (1-0.55)^{0}

=1(0.0503)(0.45)^{0}

=1*0.0503*1

=0.0503

Hence the probability that all the five households will have pets is equal to 0.0503.

Learn more about probability at brainly.com/question/24756209

#SPJ4

6 0
1 year ago
3(x+4)=3(x)+3(4) distributive property
jok3333 [9.3K]

Answer:

3(x + 4) = 3(x) + 3(4)
3(x + 4) = 3x + 12
3x + 12 = 3x + 12

Subtract 12 from both sides
3x + 12 - 12 = 3x + 12 - 12

3x = 3x
3x - 3x = 3x - 3x
= 0

8 0
1 year ago
Find the value of y, rounded to the nearest tenth. Please help me, I'd appreciate it!!
Blababa [14]
If a secant<span> and a </span><span>tangent of a circle </span><span>are drawn from a point outside the circle, then the product of the lengths of the secant and its external segment equals the square of the length of the tangent segment.
</span><span>
y</span>² = 7(15+7)
<span>y</span>² = 7*22
<span>y</span>² = 154
<span>y = </span>√154
<span>y = 12.4  </span>← to the nearest tenth<span>
</span><span>
</span>
8 0
2 years ago
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