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3 years ago

A sum expression that equals -3/4

Mathematics

1 answer:

Sergio [31]3 years ago

8 0

Answer:

2 1/4 - 3 = -3/4 can be a simple equation.

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if the compound interest on a sum for 2 years at 4% p.a. is ₹408, then the simple interest on the same sum at the same rate and

Butoxors [25]

Given that:

CI = ₹408

years = 2 years

Rate of interest = 4%

A = P{1+(R/100)}^

A-P = p{1+(R/100)}^n - P

I = P[1+(R/100)}^n - 1]

408 = P[{1+(4/100)²} - 1]

= P[{1+(1/25)²} - 1]

= P[(26/25)² - 1]

= P[(676/625) - 1]

= P[(676-625)/625]

408 = P(51/625)

P = 408*(625/51)

= 8*625 = 5000

Sum = 5000

Simple Interest (I) = (P*R)/100

= 5000*2*(4/100)

= 50*2*4 = 400

From the given above options, option (a) ₹400 is your correct answer.

4 0

2 years ago

PLEASE HELP AND EXPLAIN!!! (ASAP)

lora16 [44]

Let's look at the difference in speed between the two: it's 39-15.6=23.4 km/h

(we can just subtract this because they are traveling in the same direction) - this means that it's as if the slower train (the freight) was in place and the passenger train was traveling at 23.4 km/h
No, the freighter left 3.9 hours earlier, during which it traveled

15.6*3.9=60.84 km

So they will meet when the passenger train will catch up on those 60.84 km.

It does it with 23.4 km/h so it will need:
$\frac{6084}{2340} =2.6$

So the freighter will be travellinf for 2.6 more hours than the other train - a total of (2.6+3.9=6.5) 6.5 hours!

3 0

3 years ago

Last Monday, two law students met up at café Literatura after school to read the pages they were assigned in the legal methods c

jonny [76]

Answer:

$N_{a} = T_{a}$

$N_{c} = 2 \times T_{c}$

Step-by-step explanation:

Alejandro has read 28 pages so far and he can read 1 page per minute.

Again, Carly has read 12 pages so far and he can read 2 pages per minute.

If the variable N represents the number of pages read by the readers and T in minutes represents the time spent by the reader to read this number of pages, then

For Alejandro: $N_{a} = 1 \times T_{a} = T_{a}$ ......... (1)

For Carly: $N_{c} = 2 \times T_{c}$ .......... (2)

So, the equations (1) and (2) gives the number of pages that Alejandro and Carly read. (Answer)

4 0

2 years ago

If sin theta= - 5/7, which of the following are possible?

Sphinxa [80]

Answer:

$\large\boxed{\sec\theta=\dfrac{7}{\sqrt{24}},\ and\ \tan\theta=-\dfrac{5}{\sqrt{24}}}\\\boxed{\cos\theta=\dfrac{\sqrt{24}}{7},\ and\ \tan\theta=\dfrac{5}{\sqrt{24}}}$

Step-by-step explanation:

$\text{Use:}\\\\\sin^2\theta+\cos^2\theta=1\to\cos\theta=\pm\sqrt{1-\sin^2\theta}\\\\\tan\theta=\dfrac{\sin\theta}{\cos\theta}\\\\\sec\theta=\dfrac{1}{\cos\theta}\\\\==========================\\\\\sin\theta=-\dfrac{5}{7}\\\\\cos\theta=\pm\sqrt{1-\left(-\frac{5}{7}\right)^2}=\pm\sqrt{1-\frac{25}{49}}=\pm\sqrt{\frac{24}{49}}=\pm\dfrac{\sqrt{24}}{\sqrt{49}}=\pm\dfrac{\sqrt{24}}{7}\\\\\sec\theta=\pm\dfrac{1}{\frac{\sqrt{24}}{7}}=\pm\dfrac{7}{\sqrt{24}}$

$\tan\theta=\pm\dfrac{-\frac{5}{7}}{\frac{\sqrt{24}}{7}}=\mp\dfrac{5}{7\!\!\!\!\diagup_1}\cdot\dfrac{7\!\!\!\!\diagup^1}{\sqrt{24}}=\mp\dfrac{5}{\sqrt{24}}$