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3 years ago

9.

Mathematics

1 answer:

siniylev [52]3 years ago

5 0

Answer:

Slant height (s)= 12.1 cm

Step-by-step explanation:

Given: Base= 4.5 cm.

Surface area of right square pyramid= 129.5 cm.

First, calculating slant height (s) of right square pyramid.

Surface area of square pyramid= $(a^{2} +2\times a\times s)$

a= side of square base.

s= slant height

∴ $129.5= (4.5^{2} + 2\times 4.5\times s)$

⇒ $129.5= (20.25+2\times 4.5\times s)$

⇒ $129.5= (20.25+9\times s)$

Now, opening the parenthesis and subtracting both side by 20.25.

⇒ $109.25=9\times s$

cross multiplying both side

∴ Slant height (s)= 12.1

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elixir [45]

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2 years ago

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Answer:

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Step-by-step explanation:

Formula

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Where P is the principle , r is the rate of interest in the decimal form and t is the time in the years .

As given

Earl invested 6,000 in a money market account that pays 5% interest quarterly for 3 years .

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2 years ago

Tamira invests $5,000 in an account that pays 4% annual interest. How much will there be in the account after 3 years if the int

Talja [164]

Answer:

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Step-by-step explanation:

Tamira invests $5,000 in an account

Rate of interest = 4%

Time = 3 years

Case 1:

Principal = 5000

Rate of interest = 4%

Time = 3 years

No. of compounds per year = 1

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$A=5000(1+0.04)^3$

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Case 2:

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Time = 3 years

No. of compounds per year = 2

Formula : $A=P(1+\frac{r}{n})^{nt}$

$A=5000(1+\frac{0.04}{2})^{2 \times 3}$

A=5630.812

There will be $5630.812 in the account after 3 years if the interest is compounded semi-annually.

Case 3:

Principal = 5000

Rate of interest = 4%

Time = 3 years

No. of compounds per year = 4

Formula : $A=P(1+\frac{r}{n})^{nt}$

$A=5000(1+\frac{0.04}{4})^{4 \times 3}$

A=5634.125

There will be $5634.125 in the account after 3 years if the interest is compounded quarterly.

Case 4:

Principal = 5000

Rate of interest = 4%

Time = 3 years

No. of compounds per year = 4

Formula : $A=P(1+\frac{r}{n})^{nt}$

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Answer:

La respuesta es falso.

Step-by-step explanation:

La respuesta es falso.

Cuando se suman fraccciones con igual denominador, se suman los numeradores (numerador con numerador) y se deja el mismo denominador (el cual es común en ambos). Por ejemplo, la suma de 1/5 + 3/5 da como resultado:

$\frac{1}{5} + \frac{3}{5} = \frac{1 + 3}{5} = \frac{4}{5}$

En el caso de fracciones con diferentes denominadores, tampoco se suma numerador con numerador y denominador con denominador. En ese caso se debe encontrar el mínimo común múltiplo.

Por lo tanto, la respuesta es falso.

Espero que te sea de utilidad!

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