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3 years ago

Ms. Reznik can jog 3000 feet in 5 minutes. How many feet can she jog in 8 minutes?

Mathematics

2 answers:

Pie3 years ago

4 0

Answer:

4800 ft

Step-by-step explanation:

divide 3000 by to get the amount of ft she runs in a minute then multiply that answer by 8

(3000/5= 600×8= 4800

givi [52]3 years ago

4 0

Step-by-step explanation:

Hey there!

According to the question,

In 5 mins Ms. Reznik can jog 3000 ft.

In 1 min Ms. Reznik can jog 3000/5 ft.

In 8 mins Ms. Reznik can jog 600 * 8 ft.

Therefore, In 8 mins Ms. Reznik can jog 4800ft.

Hope it helps...

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What set of reflections and rotations would carry rectangle ABCD onto itself? Parallelogram formed by ordered pairs A at negativ

Hoochie [10]

Answer:

Option (4).

Step-by-step explanation:

Let's take the coordinates of point A for the set of reflections and rotations given in the options.

Option (1). Rotate 180° → A(-4, 1) becomes (4, -1)

Reflect over x-axis → (4, -1) becomes (4, 1)

Reflect over the line y = x → (4, 1) becomes A'(1, 4)

Therefore, point A will not overlap itself after the number of transformations given.

Option (2). Reflect across x-axis → A(-4, 1) will become (-4, -1)

Rotate 180° → (-4, -1) becomes (4, 1)

Reflect over the x-axis → (4, 1) becomes A'(4, -1)

Therefore, point A(-4, 1) doesn't overlap A'(4, -1).

Option (3). Rotate 180° → A(4, 1) becomes (-4, -1)

Reflect over the y-axis → (-4, -1) becomes (4, -1)

Reflected over y = x → (4, -1) becomes (-1, 4)

So the point A(4, 1) becomes A'(-1, 4) after the set of reflections,

Option (4). Reflect over the y axis → A(-4, 1) becomes (4, 1)

Reflect over the x-axis → (4, 1) becomes (4, -1)

Rotate 180° → (4, -1) becomes A'(-4, 1)

Therefore, point A will overlap itself following the set of transformations.

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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By definition of power properties we have:

$\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}$

So:

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Answer:

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3 years ago

Read 2 more answers

Investigate the difference between compounding annually and simple interest

Gennadij [26K]

Step-by-step explanation:

Simple interest formula

$A = P (1 + rt)$

Compound interest formula

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

$A = 5000 (1 + 0.025*1)\\A=5000(1.025)\\A=5125$

Simple interest is $125

. $A = 5000 (1 + \frac{0.025}{1})^{1*1} \\A=5000(1.025)\\A= 5125$

Compound interest is $125

c. the result for both a and b are the same

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the simple interest is $375

. $A = 5000 (1 + \frac{0.025}{1})^{1*3}] \\A=5000(1.025)^3 \\A=5000(1.077)\\A= 5385$

the compound interest is $385

f. the result compared, compound interest is $10 more than simple interest

$A = 5000 (1 + 0.02*6) \\A=5000(1.12) \\A=5600$

the simple interest is $600

$A = 5000 (1 + \frac{0.02}{1})^{1*6}] \\A=5000(1.12)^6 \\A=5000(1.9738) \\A= 9869$

the compound interest is $4869

i. the result from g and h, h is over 8 times bigger than g.

j. interest compound annually is not the same as simple interest, only for the case of a and b seeing that it is for 1 year. but for 2years and above there is difference as seen in c to h

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