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mixer [17]
3 years ago
11

Solve the simultaneous equations. to. 3 significant figures.3x^2 + y^2 = 202x + y =3​

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
5 0

Answer:

check explanation

Step-by-step explanation:

in eqn 2,

y = 3 - 2x

substitute for it in eqn 1

3x² + y² = 20

3x² + (3 - 2x)² = 20

3x² + 9 - 12x + 4x² = 20

Group like terms;

3x² + 4x² - 12x = 20 -9

7x² - 12x = 11

x(7x - 12) = 11

x = 11,

OR

7x - 12 = 11

7x = 11 + 12

7x = 23

x = 23/7

x = 3.286

To get y, substitute for x in eqn 2

WHEN x = 11,

y = 3 - 2(11)

y = 3 - 22

y = -19

WHEN x = 3.286

y = 3 - 2(3.386)

y = -3.772

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Leno4ka [110]
Before we start answering the question, let's define the compound interest formula:
A = P(1+ \frac{r}{n}) ^{nt}
Where:
<span>'A'</span>  is the amount of money in dollars
'P' is the principal amount of money in dollars
'r' is the interest rate (decimal)
'n' is the number of times interest is compounded per year
't' is the time in years

<span>(A) Find Principal Amount
</span><u /><span><u>Given:</u>
</span>A = 12,000
P = ?
r = 0.08
n = 2 (semiannually)
t = 5
Now we plug our values in and solve:
12,000 = P(1+ \frac{0.08}{2}) ^{(2)(5)}
12,000 = P(1.04) ^{10}
P = 8106.77
∴ You would have to deposit $8106.77 in order to have $12,000 in 5 years from now.

(B) Find Principal Amount
Same given values as above, with the exception of 't' which is now 10 instead of 5. 
12,000 = P(1+ \frac{0.08}{2}) ^{(2)(10)}
12,000 = P(1.04) ^{20}
P = 5476.64
∴ You would have to deposit $5476.64 in order to have $12,000 in 10 years from now.

Hope this helps!
4 0
4 years ago
Sammy and Jean are packing bags of candies for a party. They have 152 candies and want to put 12 candies in each bag. Write a fr
Natalka [10]

Answer:

You'll be able to 12 & 6/10 of the bags

Step-by-step explanation:

The rounded version is 12 but since there is a decimal you'll then translate it into a fraction I got the answer I did by dividing 152 by 12 then getting the answer of 12.6666~ I translated the decimal into a fraction

5 0
3 years ago
Read 2 more answers
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natulia [17]
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The results of a swim meet are shown. Who swam the fastest? Explain your reasoning.
kobusy [5.1K]

Answer : The Susana swam the fastest.

Step-by-step explanation :

Speed : It is defined as the distance traveled per unit time.

Formula used :

Speed=\frac{Distance}{Time}

First we have to determine speed of the following persons.

<u>For Tawni :</u>

Distance = 50 m

Time = 40.8 s

Speed=\frac{Distance}{Time}=\frac{50m}{40.8s}=1.225m/s

The speed of Tawni is, 1.225 m/s

<u>For Pepita :</u>

Distance = 100 m

Time = 60.2 s

Speed=\frac{Distance}{Time}=\frac{100m}{60.2s}=1.661m/s

The speed of Pepita is, 1.661 m/s

<u>For Susana :</u>

Distance = 200 m

Time = 112.4 s

Speed=\frac{Distance}{Time}=\frac{200m}{112.4s}=1.779m/s

The speed of Susana is, 1.779 m/s

From this we conclude that, in this problem meter affects the response and the speed of Susana is more than the Pepita and Tawani.

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6 0
3 years ago
What is the value of (-1/5) + 7/4 (relevant work)
Ber [7]

Answer: 31/20

Step-by-step explanation:

To add fractions, find the LCD and then combine.

8 0
3 years ago
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