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Mathematics

1 answer:

STatiana [176]3 years ago

8 0

9514 1404 393

Answer:

Tyler
2 hundredths of a mile

Step-by-step explanation:

The graph is a little difficult to read, but we note that there are 6 grid lines between times that are 2 minutes apart. So, each grid line stands for 2/6 = 1/3 minute.

At the 1-mile mark, the graph crosses 1 grid line above 8 minutes, indicating it takes Tyler 8 1/3 minutes to run 1 mile.

Then in 10 minutes, Tyler will run ...

distance = speed · time = 1 mile/(8 1/3 min) · 10 min

= 1/(25/3)·10 = 10·3/25 = 30/25 = 1.2 . . . . miles

The equation tells you that Elena runs each mile in 8.5 minutes. To see how far she runs in 10 minutes, we can solve ...

10 = 8.5x

x = 10/8.5 ≈ 1.18 . . . . miles

So, Tyler runs farther in 10 minutes by a distance of ...

1.20 -1.18 = 0.02 . . . . miles

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Cooper invested $3,100 in an account paying an interest rate of 2%

Liula [17]

Answer:

Robert will have $481 more in his account than Cooper.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

$A(t) = P(1 + \frac{r}{n})^{nt}$

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Continuous compounding:

Similar to compound interest:

$A(t) = P(1 + r)^t$