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2 years ago

Can somebody help me ???

Mathematics

1 answer:

Bezzdna [24]2 years ago

5 0

Y=-1/3x-.75

why:
y-intercept is -.75 five or take.
slope is down 1, over 3
since line (going left to right) is going down, it’s negative

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$4000 is deposited in an account that pays an APR of 8.4% compounded annually. How long will it take for the balance to reach

patriot [66]

Answer: number of years that it will take for the balance to reach $120,000 is 42 years

Step-by-step explanation:

Initial amount deposited into the account is $4000. This means that the principal is $4000

P = 4000

It was compounded annually. This means that it was compounded once in a year. So

n = 1

The rate at which the principal was compounded is 8.4%. So

r = 8.4/100 = 0.084

Let the number of years that it will take for the balance to reach $120,000. It means that it was compounded for a total of t years.

Amount, A at the end of t years is $120,000

The formula for compound interest is

A = P(1+r/n)^nt

120000 = 4000(1 + 0.084/1)^1×t

120000/4000 = 1.084^t

30 = 1.084^t

t = 42 years

8 0

3 years ago

A spinner is used for which it is equally probable that the pointer will land on any one of six regions. Three of the regions ar

34kurt

Answer:

The probability it will land on green every time is $\frac{1}{27}$ .

Step-by-step explanation:

We are given that a spinner is used for which it is equally probable that the pointer will land on any one of six regions. Three of the regions are colored red, two are colored green, and one is colored yellow.

The pointer is spun three times.

<u>As we know that the probability of an event is described as;</u>

Probability of an event = $\frac{\text{Favorable number of outcomes}}{\text{Total number of outcomes}}$

Here, the favorable outcome is that the spinner will land on green every time.

So, the number of green regions = 2

Total number of regions = 3(red) + 2(green) + 1(yellow) = 6 regions

<em>Now, the probability it will land on green every time is given by;</em>

Probability = $\frac{2}{6}\times \frac{2}{6}\times \frac{2}{6}$

= $\frac{1}{3}\times \frac{1}{3}\times \frac{1}{3}$

= $\frac{1}{27}$

Hence, the probability it will land on green every time is $\frac{1}{27}$ .

4 0

3 years ago

What is 2(8x-3) -4(3x-5)=19

vladimir1956 [14]

Answer:

5/4

Step-by-step explanation:

2(8x-3)-4(3x-5)=19

16x-6-12x+20=19

16x-12x-6+20=19

4x+14=19

4x=19-14

4x=5

x=5/4

7 0

3 years ago

Apply the Pythagorean theorem to triangle LNM to find NM, and round to the nearest hundredth

jolli1 [7]

Asked and answered elsewhere.
brainly.com/question/9895958

4 0

3 years ago

Kendra used these steps to solve the equation 2x + 5 = 3 + 2(x + 1). Which choice describes the meaning of her result, 5 = 5?

11Alexandr11 [23.1K]

Hello!

We can solve this algebraically

2x + 5 = 3 + 2(x+1)

Distribute the 2

2x + 5 = 3 + 2x + 2

combine like terms

2x + 5 = 2x + 5

Since both sides of the equation is the same all values of x make the equation true

The answer is A

Hope this helps!

7 0

3 years ago