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3 years ago

12

A grocery store sells 6 bottles of water for 4$ and 18 bottles of water for 10. Is the cost of the water proportional to the num

ber sold?

1 answer:

stira [4]3 years ago

8 0

6/4 is equal to 3/2 reduced. 18/10= 9/5 so know the cost is not proportional because the 2 proportions are different

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In 1960, the population of a town was 14 thousand people. Over the course of the next 50 years, the town grew at a rate of 30 pe

andre [41]

SOLUTIONS

Given: Assume y is the population

$\begin{gathered} t=0=1960,y=14030 \\ t=1=1961,y=14060 \\ so\text{ b = 14000} \\ so\text{ k = 30} \end{gathered}$

The town grow at the rate of 30 people per year.

$y=kt+14000$ $y=30t+14000$

(A) The population predicted to be in 2030 will be

$\begin{gathered} 2030-1960=70 \\ y=30k+14000 \\ y=30(70)+14000 \\ y=2100+14000 \\ y=16100people \end{gathered}$

(B) so when y = 15000, find t

$\begin{gathered} y=15000 \\ y=30t+14000 \\ 15000=30t+14000 \\ 15000-14000=30t \\ 1000=30t \\ t=\frac{1000}{30} \\ t\approx33 \\ t=1960+33 \\ t=1993 \end{gathered}$

3 0

1 year ago

Begin by clearly stating the problem; you can copy this from the problem set file. Show how you solved the problem step by step,

iogann1982 [59]

Answer: 13%

Step-by-step explanation:

We know that the formula to find the simple interest :

$I=Prt$ , where P is the principal amount , r is rate (in decimal )and t is the time period (in years).

Given : Albert borrowed $19,100 for 4 years. The simple interest is $9932.00. Find the rate.

i.e. P = $19,100 and t= 4 years and I = $9932.00

Now, Substitute all the values in the formula , we get

$9932=(19100)r(4)\\\\\Rightarrow\ r=\dfrac{9932}{19100\times4}\\\\\Rightarrow\ r=0.13\ \ \ \text{[On simplifying]}$

In percent, $r=0.13\times100\%=13\%$

Hence, the rate of interest = 13%

3 0

3 years ago

Which of the following is a factor of 2xy + 8y − 8x − 32?

muminat

You could start by eliminating wrong answer(s):

(a) 5 is definitely not a factor of the given <span>2xy + 8y − 8x − 32,

(d) x^2 - 4x + 16 (not x2 - 4x + 16) is not a factor (it has no y terms)

On the other hand:

(b) 2 definitely divides evenly into </span>2xy + 8y − 8x − 32: 2(<span>xy + 4y − 4x − 16)

(c) x + 4 divides evenly into both xy + 4y and -(4x + 16):
We get 2(x +4) [y - 4]</span>

4 0

3 years ago

The rate of U.S. per capita sales of bottled water for the period 2007–2014 could be approximated by s(t) = 0.25t2 ? t + 29 gall

julsineya [31]

Answer:

117 gallons

Step-by-step explanation:

The expression that describes the rate of U.S. per capita sales of bottled water for the period 2007–2014 is:

$s(t) = 0.25t^2-t+29$

Since t=0 at 2007. At 2009 and 2013, t is:

$t_1=2009-2007 = 2\\t_2=2013-2007 = 6$

The definite integral of the expression from t=2 to t=6 is:

$s(t) = 0.25t^2-t+29\\\int\limits^6_2 {s(t)} \, dt= \int\limits^6_2 {(0.25t^2-t+29)} \, dt\\\int\limits^6_2 {s(t)} \,dt= (\frac{t^3}{12} -\frac{t^2}{2}+29t +c)|^6_2 \\S(6) -S(2) = (\frac{6^3}{12} -\frac{6^2}{2}+29*6 +c) - (\frac{2^3}{12} -\frac{2^2}{2}+29*2 +c)\\S(6) -S(2) = 117.333\ gallons$

Rounded to the nearest gallon, the estimated total U.S. per capita sales of bottled water from the start of 2009 to the start of 2013 is 117 gallons.

6 0

3 years ago

Under his cell phone plan, Evan pays a flat cost of $57.50 per month and $3 per gigabyte. He wants to keep his bill at $62.90 pe

frozen [14]

Answer:

3g+57.50=62.90

Step-by-step explanation:

Your total will be 62.90 so its by its self and you need to subtract 57.50 and divide by 62.90

4 0

2 years ago