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3 years ago

4) What is the present value of $4000 received at the

Mathematics

2 answers:

Bingel [31]3 years ago

8 0

Answer:

$11040

Step-by-step explanation:

first of all the question says that $4000 were earned in a year and asks for what the new vale would be after the next 3 years with a discount rate of 8%.

If 1 year=$4000,then 3 years=$12000

100%-8%=92% (this happens because there is still a remaining amount that still has a cost to it),so 12000*92%=$11040

geniusboy [140]3 years ago

5 0

Answer: The answer is 33333.33

Step-by-step explanation:

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An office supply company manufactures paper clips, and even tolerates a small proportion of those paper clips being ‘defective’

vovikov84 [41]

Answer:

0.104 (10.4%)

Step-by-step explanation:

$UCL = \bar{p}+z(\sigma)$

$\sigma = p(1-)) Vn = 1.02(1-202)) 5$ = 0.028

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4 0

3 years ago

3(m - 1) = 5m +3 -2m please help me solve this step by step asap!

cupoosta [38]

Answer:

0 = 6

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(m−1)=5m+3−2m

(3)(m)+(3)(−1)=5m+3+−2m (Distribute)

3m+−3=5m+3+−2m

3m−3=(5m+−2m)+(3) (Combine Like Terms)

3m−3=3m+3

Step 2: Subtract 3m from both sides.

3m−3−3m=3m+3−3m

−3=3

Step 3: Add 3 to both sides.

−3+3=3+3

0=6

3 0

2 years ago

Put 5x + 5y = -3,500 into a slope-intercept form

GREYUIT [131]

Slope intercept form is y=mx+b
y=-x+700

4 0

2 years ago

Read 2 more answers

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

natka813 [3]

Answer:

21s+8=r

need more characters

6 0

3 years ago