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Olegator [25]
3 years ago
10

The function p(t) represents the population of a certain town t years after 2010.

Mathematics
2 answers:
GalinKa [24]3 years ago
6 0

Answer:

Population of town in Year 2010 is 3476.

Step-by-step explanation: Formula for the Population after t years is given by   P(t) = P (1-i/100)^n

        where P is initial population.

Here in question P is initial population.

If we compare the equation given in the question to the problem equation

we have P = 3476 , which is initial population.












































































































amm18123 years ago
3 0

Answer:

The population of the town in 2010 is 3476.

Step-by-step explanation:

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Matt took a taxi from his home to the airport. The taxi driver charged an initial fee of $6.75 plus $2.20 per mile. The total fa
Dima020 [189]

Answer11

Step-by-step explanation:

30.95-6.75 is 24.20 now 24.20 divided by 2.20 is 11

3 0
3 years ago
Read 2 more answers
En un triángulo, dos de sus ángulos internos miden 40º y 55º. Hallar la medida de su tercer ángulo interno.
TiliK225 [7]

Answer:

La medida del tercer ángulo interno es 85°.

Step-by-step explanation:

Los triángulos son figuras geométricas planas que poseen tres lados en contacto entre sí en puntos comunes denominados vértices. A su vez, los triángulos poseen tres ángulos interiores. Estos tres ángulos interiores del triángulo suman 180°.

En este caso, en un triángulo, dos de sus ángulos internos miden 40º y 55º. Siendo θ el tercer ángulo interior, entonces:

θ + 40° + 55°= 180°

Resolviendo:

θ + 95°= 180°

θ= 180° - 95°

θ=85°

<u><em>La medida del tercer ángulo interno es 85°.</em></u>

3 0
2 years ago
Use scientific notation to estimate the number of inches in 1,225 miles
madam [21]
First, find the number of inches
<span>1225 Miles = 77616000 Inches

then, move the decimal to until you have a ones place.    </span>
<span>77616000.    the decimal for this number moves to the left SEVEN places.
you end up with 7.7616000
</span>
it will look like this:

7.8 * 10^7

I rounded to the .8 because you didn't state how many significant figures, but it could easily be 7.76 * 10^7

the exponent above the 10 will tell you how many places to move. to get back to your original number, move it back to the right seven places. Of course, you would have to place hold the numbers with 0s. If it were negative, you would move the decimal the opposite way.
6 0
3 years ago
Customers can pick their own apples at well orchards. They pay $6 to enter the orchard and $2 per pound for the apples they pick
Anvisha [2.4K]
Y=6+2x

Since y equals the total cost, it will be on its own in the equation. 6 dollars is a set amount, meaning that no matter how many apples they pick it’ll stay the same. HOWEVER, the cost will change depending on how many pound of apples they get

Every pound of apples is equal to 2 dollars, and since x stands for pounds of apples, it’ll be ( ex: x = 2, so 2x = 2(2) = 4)

So the equation will be y = 6 + 2x

I hope this helps
6 0
3 years ago
Type the correct answer in each box. Use numerals instead of words.
lubasha [3.4K]

Answer:

System A has 4 real solutions.

System B has 0 real solutions.

System C has 2 real solutions

Step-by-step explanation:

System A:

x^2 + y^2 = 17   eq(1)

y = -1/2x            eq(2)

Putting value of y in eq(1)

x^2 +(-1/2x)^2 = 17

x^2 + 1/4x^2 = 17

5x^2/4 -17 =0

Using quadratic formula:

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

a = 5/4, b =0 and c = -17

x=\frac{-(0)\pm\sqrt{(0)^2-4(5/4)(-17)}}{2(5/4)}\\x=\frac{0\pm\sqrt{85}}{5/2}\\x=\frac{\pm\sqrt{85}}{5/2}\\x=\frac{\pm2\sqrt{85}}{5}

Finding value of y:

y = -1/2x

y=-1/2(\frac{\pm2\sqrt{85}}{5})

y=\frac{\pm\sqrt{85}}{5}

System A has 4 real solutions.

System B

y = x^2 -7x + 10    eq(1)

y = -6x + 5            eq(2)

Putting value of y of eq(2) in eq(1)

-6x + 5 = x^2 -7x + 10

=> x^2 -7x +6x +10 -5 = 0

x^2 -x +5 = 0

Using quadratic formula:

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

a= 1, b =-1 and c =5

x=\frac{-(-1)\pm\sqrt{(-1)^2-4(1)(5)}}{2(1)}\\x=\frac{1\pm\sqrt{1-20}}{2}\\x=\frac{1\pm\sqrt{-19}}{2}\\x=\frac{1\pm\sqrt{19}i}{2}

Finding value of y:

y = -6x + 5

y = -6(\frac{1\pm\sqrt{19}i}{2})+5

Since terms containing i are complex numbers, so System B has no real solutions.

System B has 0 real solutions.

System C

y = -2x^2 + 9    eq(1)

8x - y = -17        eq(2)

Putting value of y in eq(2)

8x - (-2x^2+9) = -17

8x +2x^2-9 +17 = 0

2x^2 + 8x + 8 = 0

2x^2 +4x + 4x + 8 = 0

2x (x+2) +4 (x+2) = 0

(x+2)(2x+4) =0

x+2 = 0 and 2x + 4 =0

x = -2 and 2x = -4

x =-2 and x = -2

So, x = -2

Now, finding value of y:

8x - y = -17    

8(-2) - y = -17    

-16 -y = -17

-y = -17 + 16

-y = -1

y = 1

So, x= -2 and y = 1

System C has 2 real solutions

4 0
3 years ago
Read 2 more answers
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