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NikAS [45]
2 years ago
5

If Mike has m pencils and Jen has three times as many pencils as Mike, how many more pencils does Jen have?

Mathematics
1 answer:
tiny-mole [99]2 years ago
4 0

Answer:

If Sarah has three times as many pencils as Mike she has 3  times the number of pencils Mike has which is equivalent to 3 * m. That means Mike has m pencils and Sarah has 3m pencils. they have m + 3m pencils. The expression would be total:  m + 3m.

Step-by-step explanation:

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The simple interest on a certain sum of money for 2 years at 5% per annum is Rs 320. What will be the compound interest on the s
Brilliant_brown [7]

Answer:

Rs 328

Step-by-step explanation:

Find the <u>principal</u> amount invested.

<u>Simple Interest Formula</u>

I = Prt

where:

  • I = interest earned
  • P = principal
  • r = interest rate (in decimal form)
  • t = time (in years)

Given:

  • I = Rs 320
  • r = 5% = 0.05
  • t = 2 years

Substitute the given values into the formula and solve for P:

⇒ 320 = P(0.05)(2)

⇒ 320 = P(0.1)

⇒ P = 3200

<u>Compound Interest Formula</u>

\large \text{$ \sf I=P\left(1+\frac{r}{n}\right)^{nt} -P$}

where:

  • I = interest earned
  • P = principal amount
  • r = interest rate (in decimal form)
  • n = number of times interest applied per time period
  • t = number of time periods elapsed

Given:

  • P = 3200
  • r = 5% = 0.05
  • n = 1 (annually)
  • t = 2 years

Substitute the given values into the formula and solve for I:

\implies \sf I=3200\left(1+\frac{0.05}{1}\right)^{2} -3200

\implies \sf I=3200\left(1.05\right)^{2} -3200

\implies \sf I=3200\left(1.1025\right) -3200

\implies \sf I=3528-3200

\implies \sf I=328

Therefore, the compound interest on the same sum for the same time at the same rate is Rs 328.

7 0
2 years ago
Solve for x. −ax + 4b &gt; 9 plz help me
likoan [24]

Answer:

x < \frac{9-4b}{a}

Step-by-step explanation:

Given

- ax + 4b > 9 ( isolate the term in x by subtracting 4b from both sides )

- ax > 9 - 4b ( divide both sides by - a )

Remembering to reverse the inequality symbol when dividing by a negative quantity, thus

x < \frac{9-4b}{a}

7 0
3 years ago
Read 2 more answers
Need to know ASAP<br> :::::::::::)
Lina20 [59]
Need to know what ASAP?
4 0
3 years ago
Read 2 more answers
How many 5-digit palindromes contain only even digits?
34kurt

Answer:

The correct answer is - 900

Step-by-step explanation:

A palindrome is a positive integer that is same whether read from left to right or from right to left. For example, 123321 palindromes.

An n-digit palindrome is determined from the first  n/2  digits if n is even, and from the first n+1/2 digits if n is odd.

Therefore, if  n  is even, there are  9×10⁽n⁻²/²⁾  palindromes; and if n is odd, there are  9×10⁽n₋²/²⁾ palindromes.  where n is number of digits.

For  n=5 , there are  9×10²=900 palindromes

3 0
3 years ago
F the point (a, 7) lies on the graph of the equation 5x - y = 8, then a=
Ghella [55]
(a,7) lies on the equation of 5x-y=8, that means we solve for x when y=7.

5x-(7)=8
5x=8+7=15
x=3
=>
a=3
7 0
3 years ago
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