Answer:
√
8
≈
3
Explanation:
Note that:
2
2
=
4
<
8
<
9
=
3
2
Hence the (positive) square root of
8
is somewhere between
2
and
3
. Since
8
is much closer to
9
=
3
2
than
4
=
2
2
, we can deduce that the closest integer to the square root is
3
.
We can use this proximity of the square root of
8
to
3
to derive an efficient method for finding approximations.
Consider a quadratic with zeros
3
+
√
8
and
3
−
√
8
:
(
x
−
3
−
√
8
)
(
x
−
3
+
√
8
)
=
(
x
−
3
)
2
−
8
=
x
2
−
6
x
+
1
From this quadratic, we can define a sequence of integers recursively as follows:
⎧
⎪
⎨
⎪
⎩
a
0
=
0
a
1
=
1
a
n
+
2
=
6
a
n
+
1
−
a
n
The first few terms are:
0
,
1
,
6
,
35
,
204
,
1189
,
6930
,
...
The ratio between successive terms will tend very quickly towards
3
+
√
8
.
So:
√
8
≈
6930
1189
−
3
=
3363
1189
≈
2.828427
Based on the amount saved per week and the down payment of the property, the number of months it will take to save the amount is 46 months.
<h3>How long will it take for the family to save the amount?</h3>
First, find out the amount saved per month:
= (30% x 2,051) x 2 payments a month
= $1,230.60
The downpayment is:
= 281,700 x 20%
= $56,340
The closing cost is:
= 1.15 x 56,230
= $843.45
The number of months till the amount is saved is:
= (56,340 + 843.45) / 1,230.60
= 46 months
Find out more on mortgage downpayments at brainly.com/question/9893085.
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Answer:
c cuz differential of position is velocity, velocity is negative so moving away, differential of velocity is acceleration, negative acc is decreasing velocity
Answer:
x = (R -C)/A
Step-by-step explanation:
The variable X is multiplied by A and the product has C added. Undo these operations in reverse order: subtract C, then divide by A. Of course all operations are done to both sides of the equation.
AX +C = R
AX = R -C . . . . . .subtract C
X = (R -C)/A . . . . divide by A
Answer:
Option B, 187.5 cm³
Step-by-step explanation:
Volume of the triangular prism,
base area × height
= (10×7.5/2)×5
= 187.5 cm³
