Answer and Step-by-step explanation:
If we put
into decimal form, we get -0.45.
-0.45 is greater than -0.5, so,
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<em><u>#teamtrees #PAW (Plant And Water)</u></em>
Answer: it will take 14 years
Step-by-step explanation:
A savings account is started with an initial deposit of $600. This means that the principal P is
P = 600
It was compounded annually. This means that it was compounded once in a year. Therefore,
n = 1
The rate at which the principal was compounded is 2.1%. So
r = 2.1/100 = 0.021
The duration of time that for which the money stayed in the account is t years. So
Time = t
The formula for compound interest is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years. Therefore,
a) the equation to represent the amount of money in the account as a function of time in years would be
A = 600 (1+0.021/1)^1×t
A = 600 (1.021)^t
b) the amount of time it takes for the account balance to reach $800 would be
800 = 600 (1.021)^t
Dividing both sides of the equation by 600, it becomes
1.33 = (1.021)^t
t = 14
If 1/6 of the pan was left and there were 2 pieces left you just need to set 1/6 equal to 2/some number, this allows you to say that 1/6=2/x --> x/6=2-->x=12.
My explanation might be a little poor since this becomes fairly fundamental later on but hopefully it helps.
Answer:
x < 1
Step-by-step explanation:
x+9<10
Subtract 9 from each side
x+9-9<10-9
x < 1
Answer:
i. x^2 – 1
ii. x^3 – 1
iii. x^4 - 1
Step-by-step explanation:
Products are obtained by multipliyng each left term by each rigth term as follows:
i. (x- 1)(x+ 1) = (x^2 – x + x - 1) = x^2 – 1 (equal terms with opposite sign substracts and the result is 0)
ii. (x- 1)(x^2 + x + 1) = (x^3 – x^2 + x^2 – x + x – 1) = x^3 – 1
iii. (x- 1)(x³ + x² + x + 1) = (x^4 – x^3 + x^3 – x^2 + x^2 – x + x – 1) = x^4 - 1