8
46
is equivalent to 4
23
because 4 x 2 = 8 and 23 x 2 = 46
12
69
is equivalent to 4
23
because 4 x 3 = 12 and 23 x 3 = 69
16
92
is equivalent to 4
23
because 4 x 4 = 16 and 23 x 4 = 92

4 0

3 years ago

A splice uses 24 centimetres of rope when two ropes are tied together. What basic fraction is this a 300 centimetre spliced rope

Vikki [24]

so 24cm out of 300 cm is spliced

24/300 is the fraction

we can simplify this by dividing top and bottom by 3 to get

8/100

we can divide top and bottom by 4 to get

2/25 is the most simplified fraction

3 0

3 years ago

Steven wishes to save for his retirement by depositing $2,000 at the beginning of each year for thirty years. Exactly one year a

Ad libitum [116K]

Step-by-step explanation:

i = interest 3% for 30 years

This is a simple dynamical system for whom the the solutions are given as

$S=R[\frac{(i+1)^n-1}{i}](i+1)$

putting values we get

S=2000[\frac{(1.03)^{30}-1}{0.03}](1.03)

= $98005.35

withdrawal of money takes place from one year after last payment

To determine the result we use the present value formula of an annuity date

$P = R\frac{1-(1+i)^{-n}}{i}{i+1}$

we need to calculate R so putting the values and solving for R we get

R= $6542.2356

8 0

3 years ago

Please help! I attached the question below.

kompoz [17]

Answer:

$\frac{2(c+2)}{c(c-2)}$

Step-by-step explanation:

$\frac{c^{2}-4 }{6c^{4}+15c^{3}}=\frac{(c-2)(c+2)}{c(6c^{3}+15c^{2}) }$

Identity used:

$a^{2}-b^{2}=(a-b)(a+b)$

$\frac{c^{2}-4c+4}{12c^{3}+30c^{2}}=\frac{(c-2)^{2}}{2(6c^{3}+15c^{2}) }$

Now let us divide the modified expressions:

$\frac{(c-2)(c+2)}{c(6c^{3}+15c^{2})}$ ÷ $\frac{(c-2)^2}{2(6c^{3}+15c^{2}) }$

we get:

$\frac{2(c+2)}{c(c-2)}$

5 0

3 years ago