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3 years ago

To reduce a number to a specified number of digits, without rounding it. You simply cut it off. What is the name of this term

Mathematics

2 answers:

ankoles [38]3 years ago

8 0

<h2>Answer:</h2>

To reduce a number to a specified number of digits, without rounding it. You simply cut it off. The name of this term is:

Truncating a number.

<h2>Step-by-step explanation:</h2>

<u>Truncating a number--</u>

It the method of approximating a decimal number such that we cut the number without rounding off the last digit i.e. the digit upto which the number is to be obtained.

for example--

If we have a number as:

36.2245678

and we have to round it off to 4 decimal places then the resulting number is:

36.2245

KATRIN_1 [288]3 years ago

3 0

Truncate <== that is ur answer

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Earl invested 6,000 in a money market account that pays 5% interest quarterly. How much money will he have in his account after

Sedbober [7]

Answer:

The amount becomes $6964.53 after 3 years .

Step-by-step explanation:

Formula

$Amount = P (1+\frac{r}{4})^{4t}$

Where P is the principle , r is the rate of interest in the decimal form and t is the time in the years .

As given

Earl invested 6,000 in a money market account that pays 5% interest quarterly for 3 years .

P = $6000

5% is written in the decimal form.

$= \frac{5}{100}$

= 0.05

r = 0.05

t = 3 years

Putting all the values in the formula

$Amount = 6000(1+\frac{0.05}{4})^{4\times 3}$

$Amount = 6000(1+0.0125)^{12}$

$Amount = 6000\times 1.16075452$

$Amount =\$ 6964.53\ (Approx)$

Therefore the amount becomes $6964.53 after 3 years .

3 0

3 years ago

The sum of first three terms of a finite geometric series is -7/10 and their product is -1/125. [Hint: Use a/r, a, and ar to rep

Alchen [17]

Ooh, fun

geometric sequences can be represented as
$a_n=a(r)^{n-1}$
so the first 3 terms are
$a_1=a$
$a_2=a(r)$
$a_2=a(r)^2$

the sum is -7/10
$\frac{-7}{10}=a+ar+ar^2$
and their product is -1/125
$\frac{-1}{125}=(a)(ar)(ar^2)=a^3r^3=(ar)^3$

from the 2nd equation we can take the cube root of both sides to get
$\frac{-1}{5}=ar$
note that a=ar/r and ar²=(ar)r
so now rewrite 1st equation as
$\frac{-7}{10}=\frac{ar}{r}+ar+(ar)r$
subsituting -1/5 for ar
$\frac{-7}{10}=\frac{\frac{-1}{5}}{r}+\frac{-1}{5}+(\frac{-1}{5})r$
which simplifies to
$\frac{-7}{10}=\frac{-1}{5r}+\frac{-1}{5}+\frac{-r}{5}$
multiply both sides by 10r
-7r=-2-2r-2r²
add (2r²+2r+2) to both sides
2r²-5r+2=0
solve using quadratic formula
for $ax^2+bx+c=0$
$x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$
so
for 2r²-5r+2=0
a=2
b=-5
c=2

$r=\frac{-(-5) \pm \sqrt{(-5)^2-4(2)(2)}}{2(2)}$
$r=\frac{5 \pm \sqrt{25-16}}{4}$
$r=\frac{5 \pm \sqrt{9}}{4}$
$r=\frac{5 \pm 3}{4}$
so
$r=\frac{5+3}{4}=\frac{8}{4}=2$ or $r=\frac{5-3}{4}=\frac{2}{4}=\frac{1}{2}$

use them to solve for the value of a
$\frac{-1}{5}=ar$
$\frac{-1}{5r}=a$
try for r=2 and 1/2
$a=\frac{-1}{10}$ or $a=\frac{-2}{5}$

test each
for a=-1/10 and r=2
a+ar+ar²= $\frac{-1}{10}+\frac{-2}{10}+\frac{-4}{10}=\frac{-7}{10}$
it works

for a=-2/5 and r=1/2
a+ar+ar²= $\frac{-2}{5}+\frac{-1}{5}+\frac{-1}{10}=\frac{-7}{10}$
it works

both have the same terms but one is simplified

the 3 numbers are $\frac{-2}{5}$ , $\frac{-1}{5}$ , and $\frac{-1}{10}$

6 0

3 years ago

A 39 inch piece of steel cut into 3 pieces so that the second piece is twice as long as the first piece and the third piece is t

dalvyx [7]

The length of the first piece is 4 the second piece is 8 and the third piece is 27. Your Welcome

4 0

3 years ago

Solve 2x2 – 6x + 10 = 0 by completing the square.

Elanso [62]

Answer:

The answer is C.)

Step-by-step explanation:

I hope its help Please let me know.

3 0

2 years ago

Y = 7x + 5<br> y = 7x - 3<br> These 2 lines are ?<br> O parallel<br> Operpendicular<br> Oneither

amm1812

Answer:

Parallel

Step-by-step explanation:

These 2 lines are parallel because they have the same slope (7).

8 0

3 years ago