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DaniilM [7]
2 years ago
5

Does y=0.5x-2 represent a proportional relationship?

Mathematics
1 answer:
grandymaker [24]2 years ago
5 0
<h2>Answer::</h2>

An equation has a proportional relationship if it can be written in the form y=kx where k is the constant of proportionality.

a.y=0.5x−2a.y=0.5x−2 does not have a proportional relationship since it has the term −2 on the right side.

b.y=1,000xb.y=1,000x has a proportional relationship with a constant of proportionality of 1,000.

c.y=x+1c.y=x+1 does not have a proportional relationship since it has the term 1 on the right side.

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Which of the following is the interest on $6000 at 6% compounded semiannually for eight years?
ryzh [129]

Answer:

$3628.24

Step-by-step explanation:

we use the formula for accrued value (A) with compounded interest:

A=P(1+\frac{r}{n})^{n*t}

where A= accrued value (principal plus the accumulated  interest)

P = principal -> in our case $6000

r = annual interest rate (in decimal form) -> in our case 0.06

n = number of compoundings per year. In our case 2 (semiannually)

t = time in years -> in our case 8

A=P(1+\frac{r}{n})^{n*t}\\A = 6000(1+\frac{0.06}{2})^{16}\\ A= 6000(1+0.03)^{16}\\A = $9628.24

Since this is the value of principal plus accumulated interest, we subtract from it the principal ($6000) to get the value of just the interest:

$9628.24 - $6000 = $3628.24

4 0
3 years ago
-2/3-5/6= write in simplest form
sleet_krkn [62]
-2/3 - 5/6 

We need common denominators so, since 3 can go into 6, we only need to multiply the first fraction by 2.

= -2 x 2 / 3x2  -  5/6 
= -4 / 6 - 5/6 
 
We only subtract the numbers that are in the numerators, 

= -4-5 / 6 
= -9/6 

Both nine and six are divisible by 3, so to put into lowest terms... 

=-9÷3 / 6÷3
= -3/2  <--- Final Answer 

3 0
3 years ago
Look at the image below
Alexandra [31]

that's what I got, you can confirm if it's correct or not... I'm not sure

have a nice dayʘ‿ʘ

6 0
3 years ago
Two cars start from the same point driving in opposite directions. Both cars drive 6miles. One car stops, the other car makes a
dimaraw [331]

Answer:

  • <u>14.4 mile</u>²

Explanation:

1. By driving 6 miles each, the cars will be 6 miles + 6 miles = 12 miles appart.

2. When one car stops and the other car makes a 90° left-hand turn and drive 8 miles, you can model the situation with a right triangle, where one leg is 12 miles, the other leg is 8 miles, and the hypotenuse is the distance that separates the cars.

Hence, you must use Pythagoras to find that distance.

3. Pythagoras

  • hypotenuse² = leg₁² + leg₂²

  • hypotenuse = (12 mile)² + (8 mile)² = 144 mile² + 64 mile² = 208 mile²

  • hypotenuse=\sqrt{208mile^2}=14.4mile^2, which is rounded to the neartest tenth of a mile.
8 0
3 years ago
WORTH 80 POINTS HELP
vekshin1
Hi!

1. Your answer should be the first option. (It looks the best to me)

2. it is the last option because it's the only one that's identical to the original picture.

3. It should be the third option since there are 10cm on the top of the shape.

4. a total of 39

Hope that helps, good luck! :)
6 0
3 years ago
Read 2 more answers
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