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3 years ago

Frank decided to keep track of his sleep using a fitness tracker. He was surprised to

Mathematics

1 answer:

Andreyy893 years ago

6 0

Answer: 5%

Step-by-step explanation:

First and foremost, we need to know that 60 minutes = 1 hour. Therefore,

7 hours = 60 × 7 = 420 minutes.

Number of minutes awake = 21 minutes

Number of minutes supposed to be asleep = 7 hours = 420 minutes

The percentage of the seven hours that Frank was awake during the night will be:

= 21/420 × 100

= 1/20 × 100.

= 5%

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In how many year the interest will became equal to the principal is rs.1200 is deposited at the rate of 25% in a bank

mrs_skeptik [129]

Given:

Principal = Rs. 1200

Rate of interest = 25%

To find:

The time in which the interest will became equal to the principal.

Solution:

We have,

$P=1200$

$r=\dfrac{25}{100}$

$r=0.25$

If interest is equal to the principal, then

$Amount=Principal+Interest$

$Amount=1200+1200$

$Amount=2400$

The formula for amount is:

$A=P\left(1+r)^n$

Substituting $A=2400, P=1200, r=0.25$ in the above formula, we get

$2400=1200(1+0.25)^n$

$\dfrac{2400}{1200}=(1.25)^n$

$2=(1.25)^n$

Taking log on both sides, we get

$\log2=\log(1.25)^n$

$\log2=n\log(1.25)$ $[\because \log a^b=b\log a]$

$\dfrac{\log2}{\log(1.25)}=n$

$n\approx 3.11$

Therefore, the interest will became equal to the principal in about 3.11 years.

4 0

2 years ago

Could anybody give me some help? I'm a little confused .-. <3

nika2105 [10]

What your teacher wants is for you to isolate y in the given equation. In other words, get y all by itself.

To do this, you'll do two basic steps:
Step 1) Subtract 2x from both sides
Step 2) Divide both sides by 3

Let's do that and we get...
2x+3y = 1470
2x+3y-2x = 1470-2x ... apply step 1
3y = 1470-2x
3y = -2x+1470
3y/3 = (-2x+1470)/3 ... apply step 2
y = (-2x)/3 + 1470/3
y = (-2/3)x + 490

After isolating y, we get y = (-2/3)x + 490
To get this into function notation, we simply replace y with f(x) to get the final answer f(x) = (-2/3)x+490 which is the same as writing $f(x) = -\frac{2}{3}x+490$

This graph represents all of the ordered pairs (x,y) that make the original equation true. For example, the point (x,y) = (0,490) is on the line where x = 0 and y = 490. This point is when 0 sandwiches are sold and 490 wraps are sold yielding a profit of $1470. Another point on this line is (x,y) = (3,488). Now 3 sandwiches have been sold along with 488 wraps leading to the same profit of $1470. Any ordered pair point you pick on the line should lead you to the same profit.

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3 years ago

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lubasha [3.4K]

I say it’s c it makes the most sense to me

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kkurt [141]

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