the amount of money that sue had in pension fund at the end of 2016 was £63000. her plans involve her putting £412 per month in the fund every year for the next 18 years. how much will sue have in the pension fund at the end of 2034?

the pension fund will be £285480

Step-by-step explanation:

her plans = £412 per month till 18 years ( 2034 )

so, 18 years to months

= 18 × 30

= 540 months

£412 × 540

= £222480

you must add it up with the amount at the end of 2016 which is :-

£63000 + £222480

= £285480

you're welcome ^o^

10.416 meters per second

step-by-step explanation:

distance=1 00 meters

time= 9.6 seconds in decimal form or 9 3/5 as a mixed number

average speed= 100/9.6

=10.416 meters per second or 10 52/125 as a mixed number.

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.