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3 years ago

What is the discriminant of the polynomial below 9x^2-18x+9

Mathematics

1 answer:

Anika [276]3 years ago

4 0

Answer:

[ b2 - 4ac ]

Step-by-step explanation:

In any given expression, it's a number.

In this expression, the number is zero, indicating that

the expression is a square.

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Kristen invests $5,745 in a bank. The bank pays 6.5% interest compounded monthly. How long must she leave the money in the bank

s344n2d4d5 [400]

formula is $A=P(1-\frac{r}{n})^{nt}$

where A=final amount

P=principal

r=interest rate in decimal

n=number of times per year it is compounded

t=time in years

we want to find where

A=2P

and P=5745

and r=6.5%=0.065

n=monthly=12

remember that $ln(x^a)=a(ln(x))$

also that $(a^b)^c=a^{bc}$

$2(5745)=5745(1+\frac{0.065}{12})^{12t}$ , solving for t

divide both sides by 5745 to simplify things a bit

$2=(1+\frac{0.065}{12})^{12t}$ I'd rather not simplify this because it give us a decimals and those aren't exact, if we combine, we get 12.065/12 for inside parenthases

$2=(\frac{12.065}{12})^{12t}$

take ln of both sides

$ln(2)=ln((\frac{12.065}{12})^{12t})$

$ln(2)=(12t)ln(\frac{12.065}{12})$

divide both sides by $12ln(\frac{12.065}{12})$

$\frac{ln(2)}{12ln(\frac{12.065}{12})}=t$

using our calculator, t≈10.6927

so rounded, we get 10.7 years

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2 years ago

How many integers from 1 through a

AysviL [449]

Answer:

sorry but I don't understand

Step-by-step explanation:

please forgive me

comment if I am forgiven

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the answer is 60.

all you have to do is multiply all the numbers.

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first:

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and now multiply the left number with the

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