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Naddik [55]
3 years ago
10

A city is growing at a rate of 8 percent per year. What multiplier is used to find

Mathematics
1 answer:
sineoko [7]3 years ago
6 0

Answer:

1.08

Step-by-step explanation:

This is because it grows upon itself so it starts with a multiplier of 1, but it is growing with .08 (8 percent) on itself so you add these two numbers together to get 1.08

You might be interested in
3. Which of the following quadratic equations has no solution? A) 0 = −2(x − 5)2 + 3 B) 0 = −2(x − 5)(x + 3) C) 0 = 2(x − 5)2 +
klemol [59]

Answer:

D) 0 = 2(x + 5)(x + 3)

Step-by-step explanation:

Which of the following quadratic equations has no solution?

We have to solve the Quadratic equation for all the options in other to get a positive value as a solution for x.

A) 0 = −2(x − 5)2 + 3

0 = -2(x - 5) × 5

0 = (-2x + 10) × 5

0 = -10x + 50

10x = 50

x = 50/10

x = 5

Option A has a solution of 5

B) 0 = −2(x − 5)(x + 3)

Take each of the factors and equate them to zero

-2 = 0

= 0

x - 5 = 0

x = 5

x + 3 = 0

x = -3

Option B has a solution by one of its factors as a positive value of 5

C) 0 = 2(x − 5)2 + 3

0 = 2(x - 5) × 5

0 = (2x -10) × 5

0 = 10x -50

-10x = -50

x = -50/-10

x = 5

Option C has a solution of 5

D) 0 = 2(x + 5)(x + 3)

Take each of the factors and equate to zero

0 = 2

= 0

x + 5 = 0

x = -5

x + 3 = 0

x = -3

For option D, all the values of x are 0, or negative values of -5 and -3.

Therefore the Quadratic Equation for option D has no solution.

3 0
3 years ago
Expansion of (4x+1)(2x2-2)
kvv77 [185]
8x3 - 8x + 2x2 - 2
8x3 + 2x2 - 8x - 2
7 0
3 years ago
Read 2 more answers
Find the solution to the differential equation dz/dt = 7te^4z that passes through the origin.
andreev551 [17]

Answer:

z=(\frac{-1}{4} )ln|1-14t^{2}|\\

Step-by-step explanation:

from the equation, \frac{dz}{dt}=7te^{4z}\\.

we can give different approach to the equation, but to make it simple and direct, let separate the equation by bringing all like terms to the same side i.e

\frac{dz}{e^{4z}}=7tdt\\e^{-4z} dz=7tdt.

if we integrate both side,

\int\limits^a_b{e^{-4z} } \,dz =\int\limits^a_b {7t} \,dt

-1/4e^{-4z} +c_{1}=7/2t^{2} +c_{2}\\-1/4e^{-4z}= 7/2t^{2} +c_{2}-c_{1}\\let c_{2}-c_{1}=c \\-1/4e^{-4z}= 7/2t^{2} +c

since the equation passes through the origin, and at the origin z=0 and t=0

we substitute this values and solve for the constant c

e^{-4*0}= 7/2*0 +c\\c=1.

If we substitute the value of c into the equation we arrive at

(-1/4)e^{-4z}= (7/2)t^{2}+1\\ e^{-4z}=1-14t^{2} \\

if we the the natural logarithm of both sides, we arrive at

-4z=ln|1-14t^{2}|\\z=(\frac{-1}{4} )ln|1-14t^{2}|\\

3 0
3 years ago
Please help me, I'm really confused. Given that a ∥ b and m∠6 is 1/8 of m∠4, find m∠4 and m∠6.
ASHA 777 [7]

9514 1404 393

Explanation:

Finish the Given statement, make use of the relationships of angles and parallel lines, then finish the algebra.

__

2. m∠6 = (1/8)m∠4 . . . . Given

3. m∠6 + m∠4 = 180° . . . . 3. same-side interior angles are supplementary

4. m∠6 + 8·m∠6 = 180° . . . . 4. Substitution (from 2, above: 8·m∠6 = m∠4)

Here is the "algebra" that gets you to line 5:

4a. 9m∠6 = 180° . . . collect terms

4b. m∠6 = 20° . . . . . divide by 9

4c. m∠4 = 8·20° = 160° . . . use the same relation as in step 4

5. m∠6 = 20°, m∠4 = 160° . . . . Algebra

8 0
3 years ago
Read 2 more answers
Young Sally went Trick or Treating last Halloween, In her treat bag were 15 pieces of gum, 7 lollipops, 8 tootsie rolls, 6 candy
Vilka [71]

Answer:

A:  16.2% (if you need it rounded, it is 16%)

B: 43.2% (if you need it rounded it is 43%)

Step-by-step explanation:

We need to find the candy bar percentage rate so we divide the amount of candy bars, by the total about of treats collected.

15 + 7 + 8 + 6 + 1 = 37

Now we divide the cady bars by the total amount:

6/37 = 16.2%

Now we do the same thing again but this time with the apples and gum:

16/37 = 43.2%

You did it!

Have a great day!!

Please rate and mark brainliest!!

4 0
3 years ago
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