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2 years ago

Find the x and y intercepts of the line given by the equation 2x - 3y = 12

Mathematics

1 answer:

S_A_V [24]2 years ago

8 0

Yo sup??

The x intercept can be found out by putting y=0 in the equation

2x=12

x=6

the x intercept is 6

similarly the y intercept can be found out by placing x=0

-3y=12

y=-4

the y intercept is -4

Hope this helps

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richard goes to the electronics store.he buys 2 memory cards that cost 8.99 each and 3 packages of batteries that are on sale fo

natka813 [3]

2m + 3b + c + h
m = 8.99, b = 7.47, c = 2.99, h = 29.99
2(8.99) + 3(7.47) + 2.99 + 29.99
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3 years ago

The calculated average of a data set best describes which of the following? (4 points) Group of answer choices Mean Median Mode

OleMash [197]

Answer:

Its A: Mean

Step-by-step explanation:

Mean means average in a set of data

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3 years ago

16) Your salary goes from $8.75 an hour at your present job to $16.50 an hour in your new job. What is

Agata [3.3K]

Answer:

The percent change in salary from one job to the next is 88.57%.

Step-by-step explanation:

The previous salary of per hour = $8.75 per hour

The current salary of per hour = $16.50 per hour

Change in the salary rate per hour = Current salary - Previous Salary

= $16.50 per hour - $8.75 per hour

=$7.75 per hour

⇒The change in the salary per hour rate is $7.75

Now, $\textrm{Percentage Change in salary} = \frac{\textrm{Change in the rate of salary}}{\textrm{Previous Salary}} \times 100$

= $\frac{7.75}{8.75} \times 100 = 88.57$

or, the change in salary percentage is 88.57%

Hence, the percent change in salary from one job to the next is 88.57%.

4 0

3 years ago

You deposit 2000 in account A, which pays 2.25% annual interest compounded monthly. You deposit another 2000 in account b, which

stellarik [79]

To model this situation, we are going to use the compound interest formula: $A=P(1+ \frac{r}{n} )^{nt}$
where
$A$ is the final amount after $t$ years
$P$ is the initial deposit
$r$ is the interest rate in decimal form
$n$ is the number of times the interest is compounded per year
$t$ is the time in years

For account A:
We know for our problem that $P=2000$ and $r= \frac{2.25}{100} =0.0225$ . Since the interest is compounded monthly, it is compounded 12 times per year; therefore, $n=12$ . Lets replace those values in our formula:
$A=2000(1+ \frac{0.0225}{12} )^{12t}$

For account B:
$P=2000$ , $r= \frac{3}{100} =0.03$ , $n=12$ . Lest replace those values in our formula:
$A=2000(1+ \frac{0.03}{12} )^{12t}$

Since we want to find the time, $t$ , <span>when the sum of the balance in both accounts is at least 5000, we need to add both accounts and set that sum equal to 5000:
</span> $2000(1+ \frac{0.0225}{12} )^{12t}+2000(1+ \frac{0.03}{12} )^{12t}=5000$

Now that we have our equation, we just need to solve for $t$ :
$2000[(1+ \frac{0.0225}{12} )^{12t}+(1+ \frac{0.03}{12} )^{12t}]=5000$
$(1+ \frac{0.0225}{12} )^{12t}+(1+ \frac{0.03}{12} )^{12t}= \frac{5000} {2000}$
$(1.001875)^{12t}+(1.0025 )^{12t}= \frac{5}
{2}$
$ln(1.001875)^{12t}+ln(1.0025 )^{12t}=ln( \frac{5} {2})$
$12tln(1.001875)+12tln(1.0025 )=ln( \frac{5} {2})$
$t[12ln(1.001875)+12ln(1.0025 )]=ln( \frac{5} {2})$
$t= \frac{ln( \frac{5}{2} )}{12ln(1.001875)+12ln(1.0025 )}$
$17.47$

We can conclude that after 17.47 years <span>the sum of the balance in both accounts will be at least 5000.</span>

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3 years ago

A boat traveled 27 miles in 2 hours. At this rate, how many miles will the boat travel in

Art [367]

6.75 miles per half hour !!!!!!!

7 0

3 years ago

Read 2 more answers