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nirvana33 [79]
3 years ago
7

Carrie has $10 in a savings account. The interest rate is 10%, compounded annually.

Mathematics
1 answer:
ratelena [41]3 years ago
8 0

Answer:

she will have 300 dollars

Step-by-step explanation:

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Show how to write 3/4 with the denominator 12
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3/4*3/3=9/12

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Of 15 possible​ books, you plan to take 7 with you on vacation. How many different collections of 7 books can you​ take?
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Find the measure of the missing side. Round your answer to the nearest tenth. (PYTHAGOREAN THEOREM)
Burka [1]

Answer:

Rounded to the nearest tenth, the length of the missing side is 5.4 in.

Step-by-step explanation:

According to the Pythagorean theorem, a^{2}+b^{2}=c^{2}, where c is the length of the hypotenuse (the longest side), a and b are the lengths of the other two sides. We can use this to solve for the length of the hypotenuse of the right triangle shown in your question (the missing side):

2^{2}+5^{2}=c^{2}

This simplifies to 29=c^{2}. Now to solve for c (the length of the hypotenuse), we just take the square root of both sides of the equation and solve like so:

\sqrt{29} =\sqrt{c^{2}}

This simplifies to c≈5.4 in.

7 0
3 years ago
15 points to whoever can answer this question!!!!
Amanda [17]
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3 years ago
Y=4x-6 and passes through point 8,12
umka2103 [35]

Answer:

Slope of required line if both lines are parallel: y=4x-20

Slope of required line if both lines are perpendicular: y=-1/4x+14

Step-by-step explanation:

We need to find equation of line while we are given another line having equation y=4x-6 and passes through point (8,12)

<u><em>Note: Since it is not given if the required line is parallel or perpendicular to the given line. I will solve for both cases.</em></u>

If Both lines are parallel the equation of new line will be:

We need to find slope and y-intercept to write equation of new line.

When lines are parallel there slopes are same

So, slope of given line y=4x-6 is 4 (Compare with general equation y=mx+b, m is slope so m=4)

Slope of new line is: m=4

Now finding y-intercept

Using slope m=4 and point (8,12) we can find y-intercept

y=mx+b\\12=4(8)+b\\12=32+b\\b=12-32\\b=-20

y-intercept of new line is: b=-20

Equation of required line having slope m=4 and y-intercept b=-20 is

y=mx+b\\y=4x-20

If Both lines are perpendicular the equation of new line will be:

We need to find slope and y-intercept to write equation of new line.

When lines are perpendicular there slopes are opposite of each other

So, slope of given line y=4x-6 is 4 (Compare with general equation y=mx+b, m is slope so m=4)

Slope of new line is: m=-1/4

Now finding y-intercept

Using slope m=-1/4 and point (8,12) we can find y-intercept

y=mx+b\\12=-\frac{1}{4} (8)+b\\12=-2+b\\b=12+2\\b=14

y-intercept of new line is: b=14

Equation of required line having slope m=-1/4 and y-intercept b=14 is

y=mx+b\\y=-\frac{1}{4} x+14

8 0
3 years ago
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