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Ainat [17]
3 years ago
11

Nina ran 12 4/5 laps in 1/4 of an hour . At this rate , how many laps could she run in a hour ?

Mathematics
1 answer:
slega [8]3 years ago
8 0

\text{ Answer: There are }51 \frac{1}{5}\ laps.

Explanation:

Since we have given that

Number of laps Nina ran is given by

12\frac{4}{5}

Time taken by Nina to ran the lap is given by

\frac{1}{4}

Now, we use the unitary method ,

In\ \frac{1}{4}\ hour,\text{ Nina ran }12\frac{4}{5}=\frac{64}{5}\ laps\\\\In\ 1\ hour,\text{ Nina ran }\frac{\frac{64}{5}}{\frac{1}{4}}=\frac{256}{5}\ laps

Now, we change it into mixed fraction,

\frac{256}{5}=51\frac{1}{5}\ laps

Hence,

\text{ there are }51 \frac{1}{5}\ laps.

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Sofia invests her money in an account paying 7% interest compounded semiannually. What is the effective annual yield on this acc
vfiekz [6]

Answer:

7.12

Step-by-step explanation:

The formula for the effective annual yield is given as:

i = ( 1 + r/m)^m - 1

Where

i = Effective Annual yield

r = interest rate = 7% = 0.07

m= compounding frequency = semi annually = 2

i = ( 1 + 0.07/2)² - 1

i = (1 + 0.035)² - 1

= 1.035² - 1

= 1.071225 - 1

= 0.071225

Converting to percentage

0.071225 × 100

= 7.1225%

Approximately to 2 decimal places = 7.12

Therefore, the annual effective yield = 7.12

4 0
3 years ago
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Naily [24]

Answer: 0.27

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Step-by-step explanation:

3 0
4 years ago
Simplify 3^4*x*(3/x^2)^-2
astraxan [27]
I think the answer is x^4
6 0
3 years ago
1. Refer to the equation 2x − 6y = 12. (a) Create a table of values for at least 4 points. Show your work.
Sergio039 [100]
2x - 6y = 12

so we pick any number for x and then solve for y

lets say x = 0
2(0) - 6y = 12
-6y = 12
y = -12/6
y = -2....so when x = 0, y = -2....(0,-2) <== one point

lets say x = 1
2(1) - 6x = 12
2 - 6x = 12
-6x = 12 - 2
-6x = 10
x = -10/6
x = - 5/3...so when x = 1, y = -5/3....(1,-5/3) <== another point

Lets say x = 2
2(2) - 6y = 12
4 - 6y = 12
-6y = 12 - 4
-6y = 8
y = -8/6
y = - 4/3....so when x = 2, y = -4/3.....(2,-4/3) <== another point

lets say x = 3
2(3) - 6y = 12
6 - 6y = 12
-6y = 12 - 6
-6y = 6
y = -6/6
y = -1....so when x = 3, y = -1.....(3,-1) <== another point

now there is 4 points.
4 0
3 years ago
Answer....... (-1)^3×(-1)^2
8090 [49]
Hello there!

(-1)^3 * (-1)^2

Use the distributive property

= (-1)(-1)(-1)* (-1)(-1)

= (-1)^5

= -1


I hope this helps!
3 0
3 years ago
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