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3 years ago

Ten years ago, the population of a town was 5,085 people. Since then, the population of the town has

Mathematics

1 answer:

Anika [276]3 years ago

5 0

Answer:

6077

Step-by-step explanation:

$5085 \times (1 + 19.51\%) = 6077$

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What are the solutions of the quadratic equation? 4x^2+34x+60=0

insens350 [35]

Answer:

Option 3) -6,-5/2

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$4x^{2} +34x+60=0$

$a=4\\b=34\\c=60$

substitute in the formula

$x=\frac{-34(+/-)\sqrt{34^{2}-4(4)(60)}} {2(4)}$

$x=\frac{-34(+/-)\sqrt{196}} {8}$

$x=\frac{-34(+/-)14} {8}$

$x_1=\frac{-34(+)14} {8}=-\frac{20}{8}=-\frac{5}{2}$

$x_2=\frac{-34(-)14} {8}=-6$

6 0

3 years ago

Let z be the product of any 5 consecutive three digit odd natural numbers. When you multiply

Charra [1.4K]

Answer:

Step-by-step explanation:

If x is the middle number of the 5 consecutive odd numbers, their product is ...

x(x -2)(x +2)(x -4)(x +4) = x(x² -4)(x² -16) = x⁵ -20x³ +64x

The first 3-digit prime is 101, so the product of that with this is ...

101(x⁵ -20x³ +64x) = 101x⁵ -2020x³ +6464x

Since we're only interested in the units digit, we can find the mod 10 value of this to be ...

(x⁵ +4x) mod 10

Possible units digits of x are 1, 3, 5, 7, 9, so possible units digits of this product are ...

x(x⁴ +4) = 1(1⁴ +4) = 5

3(3⁴ +4) = 3(1 +4) = 5 . . . . mod 10

5(5⁴ +4) = 5(5 +4) = 5 . . . . mod 10

7(7⁴ +4) = 7(1 +4) = 5 . . . . mod 10

9(9⁴ +4) = 9(1 +4) = 5 . . . . mod 10

In every case, the units digit of 101z will be 5.

4 0

2 years ago

What is the mistake NEED ANSWER ASAP

julsineya [31]

Answer:

The answers are in the image.

Step-by-step explanation:

Charlie made the mistake by not getting the equation equal to zero.

$x^2 - 9x + 8 = 16$

Subtract 16 to both sides making it equal to 0.

$x^2 - 9x - 8 = 0$

Using Quadratic Formula to Solve for x.

4 0

2 years ago

Plz help i have been asking this question too much

inessss [21]

Answer:

Step-by-step explanation:

1/6 of 36 is 6

2/3 of 36 is 24

6+24=30

36-30=6

8 0

2 years ago

Read 2 more answers

(⅔)-⁴ (two over three to the power minus 4)<br><br>I need answer asap pleaseeeee

Fudgin [204]

Answer:

81/16

Step-by-step explanation:

(⅔)-⁴

81/16

= 5.0625

8 0

3 years ago