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3 years ago

James took 22 seconds to run the 200yard dash. How many feet per minute is that? Show work.

Mathematics

1 answer:

marin [14]3 years ago

8 0

Answer:

1636.4 ft/min

Step-by-step explanation:

Multiply by the conversion factors that change the units you have to the units you want.

(200 yd)/(22 s) × (3 ft/yd) × (60 s/min) = 18000/11 ft/min ≈ 1636.4 ft/min

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What is the quantity 0.0075 meters expressed in centimeters? 0.075 cm 0.75 cm 7.5 cm 70.5 cm?

Alex787 [66]

0.75 because 100cm = 1m so you just move the decimal to the right by 2

5 0

3 years ago

Suppose you'd like to save enough money to pay cash for your next car. The goal is to save an extra $28,000 over the next 6 year

Anna35 [415]

Given:

• Amount to save, A = $28,000

• Time, t = 6 years

• Interest rate, r = 5.3% ==> 0.053

• Number of times compounded = quarterly = 4 times

Let's find the amount that must be deposited into the account quarterly.

Apply the formula:

$FV=P(\frac{(1+\frac{r}{n})^{nt}-1}{\frac{r}{n}})$

Where:

FV is the future value = $28,000

r = 0.053

n = 4

t = 6 years

Thus, we have:

$28000=P(\frac{(1+\frac{0.053}{4})^{4\times6}-1)}{\frac{0.053}{4}}$

Let's solve for P.

We have:

$\begin{gathered} 28000=P(\frac{(1+0.01325)^{24}-1}{0.01325}) \\ \\ 28000=P(\frac{(1.01325)^{24}-1)^{}}{0.01325}) \\ \\ 28000=P(\frac{1.371509114-1}{0.01325}) \\ \\ 28000=P(\frac{0.371509114}{0.01325}) \end{gathered}$

Solving further:

$28000=P(28.0384237)$

Divide both sides by 28.0384237:

$\begin{gathered} \frac{28000}{28.0384237}=\frac{P(28.0384237)}{28.0384237} \\ \\ 998.6=P \\ \\ P=998.6 \end{gathered}$

Therefore, the amount that must be deposited quarterly into the account is $998.60

ANSWER:

$998.60

8 0

1 year ago

Petra jogs 4 miles in 36 minutes. At this rate, how long would it take her to jog 10 miles?

Nataly [62]

90 minutes or 1 hour and 30 minutes.

Hope this helps,

kwrob

7 0

2 years ago

Read 2 more answers

A sphere with a diameter of 8 inches. What is the surface area of the sphere shown? 16Pi in2 32Pi in2 64Pi in2 256Pi in2

Viefleur [7K]

Answer:

201.06 in^2/32Pi in2

Step-by-step explanation:

4Pi in2*8=32Pi in2

5 0

3 years ago

In hopes of encouraging healthier snacks at school, Leah brought in a tray of carrot sticks

aleksandr82 [10.1K]

Answer:

40 % of the snacks were carrot sticks.

Step-by-step explanation:

Total number of carrot sticks in lunch = 18

Total number of apple slices in lunch = 27

So, Total Snacks in the Lunch = Carrot Sticks + Apple Slices

= 18 + 27 = 45

Now, $\textrm{Percentage of Carrot Sticks} = \frac{\textrm{The number of Carrot sticks in lunch}}{\textrm{Total snacks in the lunch}} \times 100$

= $\frac{18}{45} \times100 = 40$

⇒Percentage of Carrot Sticks = 40%

Hence, 40 % of the snacks were carrot sticks.

6 0

3 years ago