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professor190 [17]
3 years ago
9

Find the equation of a line that passes through (2,9) and is parallel to the graph of y=3x+5 Write the equation in​ slope-interc

ept form, if possible.
Mathematics
1 answer:
Vika [28.1K]3 years ago
8 0

Answer:

y=3x+3

Step-by-step explanation:

9=3(2)+c

9=6+c

c=3

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Lou has an account with $10,000 which pays 6% interest compounded annually. If to that account, Lou deposits $5,000 at the begin
katovenus [111]

Answer:

Option d. $22154 is the right answer.

Step-by-step explanation:

To solve this question we will use the formula A=P(1+\frac{r}{n})^{nt}

In this formula A = amount after time t

                        P = principal amount

                        r = rate of interest

                       n = number of times interest gets compounded in a year

                        t = time

Now Lou has principal amount on the starting of first year = 10000+5000 = $15000

So for one year A=15000(1+\frac{\frac{6}{100}}{1})^{1\times1}

= 15000(1+.06)^{1}

= 15000(1.06) = $15900

After one year Lou added $5000 in this amount and we have to calculate the final amount he got

Now principal amount becomes $15900 + $ 5000 = $20900

Then putting the values again in the formula

A=20900(1+\frac{\frac{6}{100}}{1})^{1\times1}

= 20900(1+.06)^{1}

= 20900(1.06)=22154

So the final amount will be $22154.

3 0
3 years ago
Mark jogged 3 5/7 km. His sister jogged 2 4/5 km. How much farther did Mark jog than his sister?
NeTakaya

Step-by-step explanation:

so therefore mark jogged 2 36/70km more than his sister

3 0
3 years ago
If i have all the angles and one side can i find the other sides
harkovskaia [24]

Sure, that's what solving triangles is. Trigonometry has a short menu. Basically we choose between three formulas: Law of Sines, Law of Cosines, Sum of Triangle Angles

The Law of Sines has two sides and two opposite angles; given any three we can solve for the fourth.

The Law of Cosines has three sides and one angle; again given any three we solve for the remaining one.

The Sum of Triangle Angles says all three angles add to 180 degrees, so given two we can find the third.

Here we have all the angles and one side, that's Law of Sines to get the remaining sides.


6 0
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without calculating steven says that prisms A and B have the same volume. Explain why Steven is correct​
Harlamova29_29 [7]

Answer:

The shapes are the same, just one is sideways. They also have very similar measurements.

Step-by-step explanation:

Even so, when we check this we get:

(1 1/2 x 1 3/4) 7 = (3 x 1 3/4) 3 1/2

when simplified (solved) this is: 18 3/8 = 18 3/8

3 0
3 years ago
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