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steposvetlana [31]

3 years ago

12

It costs $430 to rent the cottage for the weekend.Last year it cost $400.What percentage increase is this?

2 answers:

Inessa05 [86]3 years ago

6 0

(430-400)/400=7.5%
Hope this’ll help

NeX [460]3 years ago

3 0

It increased by 7.5% if you subtract the starting value from the new one and then put that answer over the starting value.

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Andrew [12]

Given the recursive formula, each terms is five time the previous one.

This means that:

$f(6)$ is 5 times $f(5)$ , which means $f(6)=5f(5)$
in turn, $f(5)$ is 5 times $f(4)$ , so we have $f(5)=5f(4)$ . This means that $f(6)=5f(5)=5\cdot 5f(4) = 25f(4)$
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4 0

2 years ago

The height of a stuntperson jumping off a building that is 20 m high is modeled by the equation h = 20 -57, where t is the time

cupoosta [38]

A stuntman jumping off a 20-m-high building is modeled by the equation h = 20 – 5t2, where t is the time in seconds. A high-speed camera is ready to film him between 15 m and 10 m above the ground. For which interval of time should the camera film him?

Answer:

$1\leq t\geq \sqrt{2}$

Step-by-step explanation:

Given:

A stuntman jumping off a 20-m-high building is modeled by the equation

$h =20-5t^{2}$ -----------(1)

A high-speed camera is ready to making film between 15 m and 10 m above the ground

when the stuntman is 15m above the ground.

height $h = 15m$

Put height value in equation 1

$15 =20-5t^{2}$

$5t^{2} =20-15$

$5t^{2} =5$

$t^{2} =1$

$t =\pm1$

We know that the time is always positive, therefore $t=1$

when the stuntman is 10m above the ground.

height $h = 10m$

Put height value in equation 1

$10 =20-5t^{2}$

$5t^{2} =20-10$

$5t^{2} =10$

$t^{2} =\frac{10}{5}$

$t^{2} =2$

$t=\pm\sqrt{2}$

$t=\sqrt{2}$

Therefore ,time interval of camera film him is $1\leq t\geq \sqrt{2}$

7 0

3 years ago