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3 years ago

8

in 2014 the attendance at jefferson schools fall festival was 600 in 2015 the attendance was 575 what was the percent change in

attendance from 2014 to 2015

1 answer:

pantera1 [17]3 years ago

8 0

$600 - 575 = 25$

$\dfrac{25}{600} \times 100\% = 4.17\%$

Answer : 4.17%

Hope this helps. - M

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A bacterial culture starts with 400 bacteria and grows at a rate proportional to its size. After 2 hours there will be 800 bacte

kotykmax [81]

Answer:

P(t) = 400×2^(t/2)
6400
5.0

Step-by-step explanation:

The wording "a rate proportional to its size" is an indication that growth (or decay) is exponential.

1) For many problems involving exponential growth, I like to use the numbers given in the problem statement as follows.

population = (initial population) × (growth factor)^(t/(growth period))

where the "growth period" is the period of time in which the population is multiplied by the "growth factor".

Here, we're given ...

(initial population) = 400

(growth factor) = 800/400 = 2

(growth period) = 2 . . . . hours

So, our population function can be written as ...

P(t) = 400×2^(t/2)

__

2) Putting t=8 into the formula, we get ...

P(8) = 400×2^(8/2) = 400×16 = 6400

After 8 hours, the population will be 6400.

__

3) Fill in the given number and solve for t.

2270 = 400×2^(t/2)

2270/400 = 2^(t/2)

Taking logs, we have ...

log(227/40) = (t/2)log(2)

t = 2×log(227/40)/log(2) ≈ 5.009

After 5.0 hours, the population will reach 2270.

7 0

4 years ago

The largest set of x values satisfying

velikii [3]

Answer:

If $p\ge -\dfrac{1}{3},$ then $x>\dfrac{2}{3}+p$ and $mn=\dfrac{2}{3}+p=\left(\dfrac{2}{3}+p\right)\cdot 1,\ \ m+n=\dfrac{5}{3}+p$

Step-by-step explanation:

Solve two inequalities for x.

1. $2,018x-p$

Separate terms with x and without x into two sides:

$2,018x-2,020x$

Multiply by -1:

$2x>-2p\\ \\x>-p$

2. $7x+3p$

Separate terms with x and without x into two sides:

$7x-10x$

Multiply by -1:

$3x>2+3p\\ \\x>\dfrac{2}{3}+p$

Find the largest set of x values satisfying both inequalities:

$x>-p\\ \\x>\dfrac{2}{3}+p$

If

$-p>\dfrac{2}{3}+p\\ \\-2p>\dfrac{2}{3}\\ \\2p$

then $x>-p$ and $mn=-p=p\cdot (-1),\ m+n=p-1.$ In this case both m and n are negative.

If $p>-\dfrac{1}{3},$ then $x>\dfrac{2}{3}+p$ and $mn=\dfrac{2}{3}+p=\left(\dfrac{2}{3}+p\right)\cdot 1,\ \ m+n=\dfrac{5}{3}+p$

If $p=-\dfrac{1}{3},$ then $x>\dfrac{1}{3}$ and $mn=\dfrac{1}{3}=\dfrac{1}{3}\cdot 1,\ \ m+n=\dfrac{4}{3}$

7 0

3 years ago

Mr. Schnee is refinancing his home. His loan officer has presented him with the following two offers; it is worth noting that Mr

erastovalidia [21]

The option that best suits him is 4.0% Interest Rate for 30 years with a monthly payment of $ 1,193.54 with $ 10,362 in Closing Costs.

Given that Mr. Schnee is refinancing his home, and his loan officer has presented him with two offers, to determine which offer should he take in order to maximize his benefit, the following calculation must be performed:

A) 4.5% Interest Rate for 30 years with a monthly payment of $ 1,266.71 with $ 256 Closing Costs

1,266.71 x 30 x 12 + 256 = X

1,266.71 x 360 + 256 = X

456,015.60 + 256 = X

456,271.60 = X

B)4.0% Interest Rate for 30 years with a monthly payment of $ 1,193.54 with $ 10,362 in Closing Costs

1,193.54 x 30 x 12 + 10,362 = X

1,193.54 x 360 + 10,362 = X

429,674.40 + 10,362 = X

440,036.40 = X

Therefore, the option that best suits him is 4.0% Interest Rate for 30 years with a monthly payment of $ 1,193.54 with $ 10,362 in Closing Costs.

Learn more about maths in brainly.com/question/25866144

3 0

3 years ago

Kevin has a jar containing 63 coins, quarters and knickels. The total value of the jar is $8.55. How many of each type of coin?

liq [111]

The answer is 9×7=63 .25×9=2.25 +35=2.60 +35=2.95+35=3.30+35=3.65+35=4.00+4.00=8.00+55=8.55 that is the total 9 quarters and 7 nickels

5 0

4 years ago

Read 2 more answers

Please help :) I don't understand what equation to use?

ASHA 777 [7]

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7 0

3 years ago