Based on the graph shown to the right, whose phones cost varies directly with the amount of time spent talking?

Mathematics

2 answers:

Lena [83]2 years ago

8 0

Answer:

Step-by-step explanation:

Given 2 quantities that vary directly, then the graph must pass through the origin.

Nikiya's graph is the only one to do this ⇒ B

sineoko [7]2 years ago

6 0

Answer:

B. Nikiya's only

Step-by-step explanation:

Mark’s cost does not vary directly with time spent talking because the cost of 0 hours is not 0 dollars

For Nikiya’s plan, the value of the constant of variation is 15

which represents Nikiya’s cost per hour

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the scale of a map is 0.5 inch : 40 miles. On the map, the distance between 2 cities is 5 inches. What is the actual distance be

kolbaska11 [484]

This is a proportion question.

0.5:40 miles :: 5:x

Translated into division you get 0.5/40 = 5/x Cross multiply

0.5 x = 40 * 5 combine the right

0.5x = 200 divide by 0.5

0.5x/0.5 = 200/0.5 Divide

x = 400

Answer: The two cities are 400 miles apart

8 0

2 years ago

If the interest rate is 3% and a total of $4,370.91 will be paid to you at the end of 3 years, what is the present value of that

Grace [21]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill&4370.91\\ P=\textit{original amount deposited}\dotfill \\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &3 \end{cases}$

$\bf 4370.91=P\left(1+\frac{0.03}{1}\right)^{1\cdot 3}\implies 4370.91=P(1.03)^3 \\\\\\ 4370.91=1.092727P\implies \cfrac{4370.91}{1.092727}=P\implies 4000.00183\approx P \\\\[-0.35em] \rule{34em}{0.25pt}$