The domain of the function is 80 to 180 because domain refers to the valid inputs of the function.
After receiving $42, the new domain (<em>that Albert can afford)</em> is from 80 to 147.
(1+x^2)^8
=(1+8x^2+8*7/(1*2)x^4+8*7*6/(1*2*3)x^6+8*7*6*5/(1*2*3*4)x^8+....)
=1+8x^2+28x^4+56x^6+70x^8+....)
For x<1, higher power terms diminish in value, hence we can approximate powers of numbers.
1.01=(1+0.1^2) => x=0.1 in the above expansion
(1.01)^8
=1+8(0.1^2)+28(0.1^4)+56(0.1^6) [ limited to four terms, as requested]
=1+0.08+0.0028+0.000056 (+0.00000070)
=1.082856 (approximately)
If you want to know the value of a function, you need to substitute the variable (here n) for the value:
so in the function
9(n+2)−5n
we substitute n with 14:
<span>9(14+2)−5*14
first calculate the inside of the bracket:
</span>
<span>9*16−5*14
9 times 16 is 144
144-5*14
5*14 is 70, so we have
144-70=74
so the answer should actually be 74!
Perhaps you mistyped the questions? can you check it again, please?
</span>
Answer:A
Step-by-step explanation:
She is taxed at a rate of 2.9%, so each year she is taxed 213000 * 2.9% . calculating this, we find that every year, she must pay 6177 in taxes. However, we need the amount in a month, so we divide by 12, to get 6177/12= 514.75, or A
