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9966 [12]
2 years ago
6

The length, breadth and height of a rectangle block are 10 cm , 15 cm and 25 cm. The LENGTH : BREADTH : HEIGHT ratio of the bloc

k is
a,2 : 3: 5
b,5 :2 : 3
c,3 : 2 : 5
d,1 : 3 : 5
Mathematics
2 answers:
Butoxors [25]2 years ago
6 0

Step-by-step explanation:

if you divide everything by five you will get ur answer

-Dominant- [34]2 years ago
3 0

\LARGE{ \underline{ \tt{Required \: answer:}}}

We have to find the simplest ratio between length, breadth and the height.

Here,

  • Length = 10 cm
  • Breadth = 15 cm
  • Height = 25 cm

Note:

  • Always check the units first.
  • Then find the HCF of the numbers to simplify them into the simplest ratio.

So,

HCF of 10, 15 and 25 is 5. Cancelling with respect to 5.

Then, the ratio will be 2:3:5 (Option A)

⛱️ \large{ \blue{ \bf{FadedElla}}}

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Use the compound interest formulas A=P e^rt to solve the problem given. round answers to the nearest cent.
goblinko [34]

Answer:

a) $20,771.76

b) $20,817.67

c) $20,484.80

d) $20,864.52

Step-by-step explanation:

<u>Compound Interest Formula</u>

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

where:

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

<u>Part (a): semiannually</u>

Given:

  • P = $15,000
  • r = 5.5% = 0.055
  • n = 2
  • t = 6 years

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

\implies \sf A=15000\left(1+\frac{0.055}{2}\right)^{2 \times 6}

\implies \sf A=15000\left(1.0275}{2}\right)^{12}

\implies \sf A=20771.76

<u>Part (b): quarterly</u>

Given:

  • P = $15,000
  • r = 5.5% = 0.055
  • n = 4
  • t = 6 years

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

\implies \sf A=15000\left(1+\frac{0.055}{4}\right)^{4 \times 6}

\implies \sf A=15000\left(1.01375}\right)^{24}

\implies \sf A=20817.67

<u>Part (c): monthly</u>

Given:

  • P = $15,000
  • r = 5.5% = 0.055
  • n = 12
  • t = 6 years

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

\implies \sf A=15000\left(1+\frac{0.055}{12}\right)^{12 \times 6}

\implies \sf A=15000\left(1+\frac{0.055}{12}\right)^{72}

\implies \sf A=20484.80

<u>Continuous Compounding Formula</u>

\large \text{$ \sf A=Pe^{rt} $}

where:

  • A = Final amount
  • P = Principal amount
  • e = Euler's number (constant)
  • r = annual interest rate (in decimal form)
  • t = time (in years)

<u>Part (d): continuous</u>

Given:

  • P = $15,000
  • r = 5.5% = 0.055
  • t = 6 years

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

\implies \sf A=15000e^{0.055 \times 6}

\implies \sf A=20864.52

Learn more about compound interest here:

brainly.com/question/27747709

brainly.com/question/28004698

4 0
1 year ago
CAN SOMEONE HELP ME WITH B AND C PLEASE? I'LL MARK AS BARAINLIEST​
Finger [1]

Since the radius of the semi circle is 10 cm then the diameter is 20 cm, when folded, its circumference is now 20, given the circumference find the radius of the cone. i guess

Volume = 1/3 πr2 (l2﹣r2)1/2

circumference = 20 cm = πD

D=6.363636364

Radius = 6.363636364/2 = 3.181818182

l = 10

vol = 100.51cm3

curved s.a = πrl

=99.96cm2

6 0
3 years ago
Which of the following values of n will result in a true statement when
ArbitrLikvidat [17]

Answer:

C. n=4

Step-by-step explanation:

got it

6 0
2 years ago
Read 2 more answers
You weld two piece's of steel together. The toral thickness is 33/64 inch. If one piece of steel is 9/32 inch thick, how thick t
Anon25 [30]

Subtract the thickness of the known piece from the total thickness.

Because they have different denominators rewrite them to have the same.

9/32 x 2 = 18/64

Now you have 33/64 - 18/64 = 15/64

The other piece is 15/64 inch thick.

4 0
2 years ago
AM I WRONG JIM? Let me know
Basile [38]
I don’t think you’re wrong good job
7 0
2 years ago
Read 2 more answers
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