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2 years ago

The product of three-fourths of a number and 7 is one-half of 672.

Mathematics

1 answer:

UNO [17]2 years ago

7 0

Answer:

n=64

Step-by-step explanation:

3/4(n)*7=1/2(672)

21 /4 n=336

n=64

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A ball is thrown vertically upwards from the ground. It rises to a height of 10m and then falls and bounces. After each bounce,

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${\huge{\fcolorbox{yellow}{red}{\orange{\boxed{\boxed{\boxed{\boxed{\underbrace{\overbrace{\mathfrak{\pink{\fcolorbox{green}{blue}{Answer}}}}}}}}}}}}}$

(i)

$\sf{a_n = 20 \times {( \frac{2}{3} )}^{n - 1} }$

(ii)

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Step-by-step explanation:

$\underline\red{\textsf{Given :-}}$

height of ball (a) = 10m

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$\underline\pink{\textsf{Solution :-}}$

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${\blue{\sf{a_n = a {r}^{n - 1} }}} \\ \sf{a_n = 20 \times { \frac{2}{3} }^{n - 1} }$

(ii) here we will use the sum formula of geometric progression for finding the total nth impact

$\orange {\sf{S_n = a \times \frac{(1 - {r}^{n} )}{1 - r} }} \\ \sf S_n = 20 \times \frac{1 - ( { \frac{2}{3} })^{n} }{1 - \frac{2}{3} } \\ \sf S_n = 20 \times \frac{1 - {( \frac{2}{3}) }^{n} }{ \frac{1}{3} } \\ \sf S_n = 3 \times 20 \times \{1 - ( { \frac{2}{3}) }^{n} \} \\ \purple{\sf S_n = 60 \{1 - { \frac{2}{3} }^{n} \}}$

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Step-by-step explanation:

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Read 2 more answers

The product of three-fourths of a number and 7 is one-half of 672.​

The product of three-fourths of a number and 7 is one-half of 672.