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3 years ago

This table shows a proportional relationship between x and y.

Mathematics

1 answer:

Delvig [45]3 years ago

3 0

Answer:

y=2x

Step-by-step explanation:

Lets pick a proportion and plug the values in:

6=r3

Divide both sides by 3 to find r:

r=2

Replace the original equation with r:

y=2x

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How many fifieths would three theths equal

kari74 [83]

45 you need to fix the question for example what does theths mean

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3 years ago

F $1,000 is deposited in a certain bank account and remains in the account along with any accumulated interest, the dollar amoun

Whitepunk [10]

Answer:

(1) The annual interest rate is 10%, that is greater than 8%

(2) The annual interest is bigger than 22.47% and that is greater than 8%

Step-by-step explanation:

We have the equation:

$I=1,000((1+\frac{r}{100} )^{n} -1)$

Where I is the earns in interest, n is the number of years and r is the annual interest rate.

For the first case, we can replace I by $210 and n by 2 as:

$210=1,000((1+\frac{r}{100} )^{2} -1)$

Solving for r, we get:

$\frac{210}{1,000} = (1+\frac{r}{100})^{2} -1$

$0.21 +1 = (1+\frac{r}{100})^{2}$

$1.21 = (1+\frac{r}{100})^{2}$

$\sqrt{1.21} = 1 + \frac{r}{100}$

$\sqrt{1.21} - 1 = \frac{r}{100}$

$(\sqrt{1.21} - 1)100=r$

$10=r$

So, for the first case, the interest rate paid by the bank is 10% and it is greater than 8%

For the second case, we need to take the equation and solve for r as:

$(1+\frac{r}{100} )^{2} >1.5$

$1+\frac{r}{100} > \sqrt{1.5}$

$\frac{r}{100} > \sqrt{1.5}-1$

$r > (\sqrt{1.5}-1)*100$

$r > 22.47$

So, for the second case the rate need to be bigger than 22.47% and that is bigger than 8%

5 0

3 years ago

The ratio of salamanders to frogs is 6 to 7. If there are 9 salamanders, how many frogs are there?

ipn [44]

Answer

Step-by-step explanation:

salamander:frog

6:7

start by setting up the ratios as fractions and using <em>x</em> as the variable.

$\frac{6}{7}$ = $\frac{9}{x}$

next cross multiply.

6x=63

x=10 i believe

8 0

3 years ago

Write in the slope-intercept form an equation of the line that passes through the given points.

cluponka [151]

Answer:

y=17/3x-26

Step-by-step explanation:

So what you need to do is find the slope and y-intercept. Then, you write it in y=mx+b form. m=slope, b=y-intercept. So in this case, 17/3 is the slope, and -26 is the y-intercept. Hope this helps :)

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3 years ago

What are the Listed answers for the common Factors of 120 and 210

GREYUIT [131]

120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

210: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

5 0

3 years ago