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Vsevolod [243]
3 years ago
5

(b) A ball is dropped from a height 30m above the ground and rebounds to ¾ of previous height continuously until it stops. Find

the distance that the ball bounces when it hits the ground the 10 th time. ( Ans to 2 d.p).
Mathematics
1 answer:
ValentinkaMS [17]3 years ago
4 0

Answer:

2.253m

Step-by-step explanation:

I used geometric sequence to find it. 30(3/4)^9 is what I used. Double check by solving that on your own if the answer is important ;)

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Landon is going to invest in an account paying an interest rate of 4.3% compounded continuously. How much would Landon need to i
Mazyrski [523]

Answer:

$ 6,189.18

Step-by-step explanation:

From the above question, we can deduce that we are meant to find the Principal (Initial Amount ) invested.

The formula for the Principal of a compound interest that is compounded continuously is given as:

P = A / e^rt

Where

P = Principal

A = Totally Amount after time t = $11,300

r = Interest rate = 4.3 % = 0.043

t = 14 years

P = $11,300/ e ^0.043 × 14

P = $ 6,189.18

Hence, Landon needs to invest, $ 6,189.18

5 0
2 years ago
Read 2 more answers
A group of students are planning a mural at a wall the rectangular wall has dimensions of (6x+7) by (8x+5) and they are planning
zvonat [6]

Answer: 46x^2+73x+15

Step-by-step explanation:

The area of a rectangle can be calculated with the formula:

A=lw

l: the length of the rectangle.

w: the width of the rectangle.

The area of the remaning wall after the mural has been painted, will be the difference of the area of the wall and the area of the mural.

Knowing that the dimensions of the wall are (6x+7) by (8x+5), its area is:

A_w=(6x+7)(8x+5)\\\\A_w=48x^2+30x+56x+35\\\\A_w=48x^2+86x+35

As they are planning that the dimensions of the mural be (x+4) by (2x+5), its area is:

A_m=(x+4)(2x+5)\\\\A_m=2x^2+5x+8x+20\\\\A_m=2x^2+13x+20

Then the area of the remaining wall after the mural has been painted is:

A_{(remaining)}=A_w-A_m\\\\A_{(remaining)}=48x^2+86x+35-(2x^2+13x+20)\\\\A_{(remaining)}=48x^2+86x+35-2x^2-13x-20\\\\A_{(remaining)}=46x^2+73x+15

8 0
3 years ago
The speeds of cars on a given i street we are normally distributed with a mean of 72 miles per hour and a standard deviation of
Ostrovityanka [42]

Answer: 72.78% of the drivers are traveling between 70 and 80 miles per hour based on this distribution.

Step-by-step explanation:

Let X be a random variable that represents the speed of the drivers.

Given: population mean : M = 72 miles ,

Standard deviation: s= 3.2 miles

The probability that the drivers are traveling between 70 and 80 miles per hour based on this distribution:

P(70\leq X\leq 80)=P(\frac{70-72}{3.2}\leq \frac{X-M}{s}\leq\frac{80-72}{3.2})\\\\= P(-0.625\leq Z\leq 2.5)\ \ \ \ \ [Z=\frac{X-M}{s}]\\\\=P(Z\leq2.5)-P(Z\leq -0.625)\\\\\\ =0.9938-0.2660\ \ \ [\text{Using p-value calculator}]\\\\=0.7278

Hence, 72.78% of the drivers are traveling between 70 and 80 miles per hour based on this distribution.

3 0
3 years ago
The line is translated 2 units down which equation will best describes the new line
ss7ja [257]

Answer:

The y intercept should be 2 lower than the original equation

Step-by-step explanation:

6 0
3 years ago
Which exponential function has a growth factor of ?
ludmilkaskok [199]
Letter B would be the correct answer
8 0
2 years ago
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