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WARRIOR [948]
3 years ago
8

Can anyone help? Give the answer in four significant figures.

Mathematics
1 answer:
Llana [10]3 years ago
5 0
X + 0.5y = 3
x^2 - y = 15

from the first equation:-
0.5y = 3 - x
y = 6 - 2x

Substitute for y in second equation:-
x^2 - (6 - 2x) = 15
x^2 + 2x - 21 = 0
x  =  [-2 +/- sqrt((4 - 4*-21)] / 2
    = 3.6904 ,  -5.6904

Plugging in these into  first equation we get

3.6904 + 0.5y = 3  so y = 2(3-3.6904) =  -1.3808
-5.6904 + 0.5y = 3 so y = 2(3 + 5.6904) =  17.3808

Solution is  x = 3.690, y = -1.381  ;   x = -5.690, y = 17.38 ( to 4 s.f's)

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Georgie put $500 in her savings account, earning interest at a rate of 4% each year. She did not make any more deposits or withd
zysi [14]

Answer:

a) $520

b) $580

c) Interest amount is same each year

Step-by-step explanation:

Given - Georgie put $500 in her savings account, earning interest at a rate of 4% each year. She did not make any more deposits or withdrawals.

To find - a) How much money was in the account after one year?

              b) How much money was in the account after 4 years?

              c) Was the amount of money earned in interest the same or different each year?

Proof -

Here given that,

Principal amount = $500

rate of interest = 4% = 4/100 = 0.04

Now,

a)

Amount =  P [ 1 + RT ]

             = 500 [ 1 + 0.04(1)]

             = 500 [ 1 + 0.04] = 520

⇒Amount = $520

b)

Amount =  P [ 1 + RT ]

             = 500 [ 1 + 0.04(4)]

             = 500 [ 1 + 0.16] = 580

⇒Amount = $580

c)

In 2nd year,

Amount =  P [ 1 + RT ]

             = 500 [ 1 + 0.04(2)]

             = 500 [ 1 + 0.08] = 540

⇒Amount = $540

Now,

Interest in 1st year = 520 - 500 = 20

Interest in 2nd year = 540 - 520 = 20

So,

The interest amount  is same each year

3 0
3 years ago
K=1/2mv squared <br> Rearrange the formula to solve for m
musickatia [10]

Answer:

<h2>m = k  / 1/2 over v</h2>

Step-by-step explanation:

1/2mv = k

rearranged can be:

m = k  / 1/2 over v

5 0
3 years ago
Find the perimeter of the triangle in inches.
madam [21]

Answer:

58 inches

<u>Step-by-step explanation:</u>

Perimeter means the sum of length of all sides of a figure.

So, the perimeter of this triangle would also be the sum of the length of its sides.

It has 3 sides.

19 in, 16 in and 23 in.

So, its perimeter equals 19 + 16+ 23

which equals 58 inches!

So, the perimeter would be 58 inches.!

3 0
2 years ago
Read 2 more answers
SOMEONE HELP ME FIND THE Y PLEASE ASAP
Evgesh-ka [11]

Answer:

(Down Below)

Step-by-step explanation:

Plug in the value of x in the left column for all the values in the equation. I will do a couple for you.

Since -4 is the value of x, substitute it into the equation for x.

y= -4-5=-9

-1

y=-1-5=-6

0

y=0-5=-5

You can do the rest. You got this! Comment if you need more help!

3 0
2 years ago
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5. Melanie can run around the track 9 times
Zina [86]

Answer: 3.36

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9/2.678571428571429=3.36 times

3 0
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