Tuition at Greenery Grove College costs $9,100 this year. Elise's parents have agreed to pay

Mathematics

1 answer:

kirill115 [55]2 years ago

8 0

Answer:

2275

Step-by-step explanation:

9100/4 = 2275

this is why you don't go to college, you get boatloads of debt

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It is less than 300. The ones digit is four times the hundreds digit. The tens digit is five more than the hundreds digit. The s

tester [92]

Answer:

Step-by-step explanation:

let the numbers at unit,ten and hundred place be x,y,z respectively,then number=100z+10y+x

also x=4z

y=z+5

and x+y+z=17

4z+z+5+z=17

6z=17-5=12

z=2

y=2+5=7

x=2×4=8

number=100×2+10×7+8=278

3 0

2 years ago

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

Citrus2011 [14]

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

(i)

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

(ii)

$\sf S_n = 60 \{1 - { \frac{2}{3}}^{n} \}$

Step-by-step explanation:

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

height of ball (a) = 10m

fraction of height decreases by each bounce (r) = 2/3

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

(i) We will use here geometric progression formula to find height an times

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

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

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