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3 years ago

What is a simpler form of the expression? (2n^2 + 5n +3)(4n - 5)

Mathematics

2 answers:

coldgirl [10]3 years ago

5 0

Answer:

8n³ + 10n² - 13n - 15

Step-by-step explanation:

Distribute the factors by multiplying each term in the first factor by each term in the second factor, that is

4n(2n² + 5n + 3) - 5(2n² + 5n + 3) ← distribute both parenthesis

= 8n³ + 20n² + 12n - 10n² - 25n - 15 ← collect like terms

= 8n³ + 10n² - 13n - 15

Wewaii [24]3 years ago

5 0

Answer:

$\large\boxed{(2n^2+5n+3)(4n-5)=8n^3+10n^2-13n-15}$

Step-by-step explanation:

$\text{Use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\(2n^2+5n+3)(4n-5)\\\\=(2n^2)(4n)+(2n^2)(-5)+(5n)(4n)+(5n)(-5)+(3)(4n)+(3)(-5)\\\\=8n^3-10n^2+20n^2-25n+12n-15\\\\\text{combine like terms}\\\\=8n^3+(-10n^2+20n^2)+(-25n+12n)-15\\\\=8n^3+10n^2-13n-15$

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Find the missing value (5,y) and (-3,2) ;m=2

Harlamova29_29 [7]

Answer:

answer is 5

Step-by-step explanation:

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3 years ago

the sum of 3 decimal numbers is 6. Exactly one of the numbers is less than 1 what could those numbers be.

kati45 [8]

There are infinitely many solutions to this problem (which is why it asks what could those numbers be), so you just have to make one up!

Start with the first sentence.
x + y + z = 6.0

Now one of those numbers has to be less than 1. I'll choose x. And I'll choose a random number, say, 0.7.

0.7 + y + z = 6.0

Now I'll subtract 0.7 from both sides to see what y and z have to add up to.

0.7 + y + z - 0.7 = 6.0 - 0.7
y + z = 5.3

Now I'll choose a random number for y that's less than 5.3.

2.6 + z = 5.3

And subtract 2.6 from both sides to find z.

2.6 + z - 2.6 = 5.3 - 2.6
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And now we have our numbers!
x = 0.7
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3 years ago

In a newspaper, it was reported that the number of yearly robberies in Springfield in 2011 was 175, and then went down by 8% in

barxatty [35]

Answer:I think the answer is C

Step-by-step explanation:

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3 years ago

Check all the answers to represent the same level of precision. A-0.59 B-100.6 C-98.42 D-1.045

sp2606 [1]

A) 0.59 uses 2 sig figs
B) 100.6 uses 4 sig figs (the zeros in this case are significant)
C) 98.42 uses 4 sig figs
D) 1.045 uses 4 sig figs (the zero is between other sig figs so it's significant)

Every choice but choice A has 4 sig figs. So the answers are B, C, and D

5 0

3 years ago

Suppose that you buy a two-year 8% bond at its face value.

Juliette [100K]

Answer:

Real Rate of Return = 4.9% and Nominal rate = 0.08 or 8%

Real Rate of Return = 2.9% and Nominal rate = 0.081 or 8.1%

real rate = 5 % and Nominal rate = 0.0815 or 8.15%

real rate = 3% and Nominal rate = 0.0815 or 8.15%

Step-by-step explanation:

given data

time period = 2 year

Coupon rate = 8% = 0.08

Inflation rate 1st year = 3% = 0.03

Inflation rate 2nd year = 5% = 0.05

solution

we get here Real Rate of Return that is express as

Real Rate of Return = (Coupon Rate - Inflation rate) ÷ (1+Inflation rate) .........1

so that here 1st year Real return will be

Real Rate of Return = (0.08 - 0.03) ÷ (1+0.03)

solve it we get

Real Rate of Return = 4.9%

and

(1 + nominal rate) = (1 + real rate) × (1 + inflation rate) ............2

(1 + nominal rate) = (1 + 0.049) × (1 + 0.03)

Nominal rate = 0.08 or 8%

and

for 2nd year Real return will be

Real Rate of Return = (0.08 - 0.05) ÷ (1+0.05)

solve it

Real Rate of Return = 2.9%

and

(1 + nominal rate) = (1 + real rate) × (1 + inflation rate) ............3

(1 + nominal rate) = (1 + 0.029) × (1 + 0.05)

Nominal rate = 0.081 or 8.1%

and

now for the bond Treasury Inflation-Protected Securities, we get real and nominal return that is

for 1st year

Real rate = Coupon rate - Inflation ...............4

Real rate = 0.08 - 0.03

real rate = 0.05

and

(1 + nominal rate) = (1 + real rate) × (1 + inflation rate) ................5

(1 + nominal rate) = (1 + 0.05) × (1 + 0.03)

Nominal rate = 0.0815 or 8.15%

and for 2nd years it will be

Real rate = Coupon rate - Inflation ....................6

Real rate = 0.08 - 0.05

real rate = 0.03

and

(1 + nominal rate) = (1 + real rate) × (1 + inflation rate) ...................7

(1 + nominal rate) = (1 + 0.03) × (1 + 0.05)

Nominal rate = 0.0815 or 8.15%

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3 years ago