Answer:
70-20=x
Step-by-step explanation:
210=3*20+3*necklace
3*necklace=210-3*20
necklace=70-20
Present value of the amount she will earn while on sabbatical if the interest rate is 6% is $126,964.34
The value of money reduces as time passes, this is due to the interest factor. $1 is worth more today than tomorrow this is because of the time value of money. The present value of cash flows is discounted value of future cash flows. Discount factors at a given rate of interest are used to find out the present value of cash flows.
Here, the professor will receive $70,000 every 7 years for 42 years.
Hence he will receive $70,000 sabbatical in the 7th, 14th,21st,28th,35th, and 42nd years.
We will find the present value of such receipts and add them.
R=0.06
F=$70,000
=$126,964.34
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1 . Consider lineups without x. You have to select
- 2 guards from 5 quards;
- 2 forwards from 3 forwards;
- 1 center from 4 centers.
It can be made in
different ways.
2. Consider lineups with x as guard. You have to select
- 2 guards from 6 quards (one of them must be x);
- 2 forwards from 3 forwards;
- 1 center from 4 centers.
It can be made in
different ways.
3. Consider lineups with x as forward. You have to select
- 2 guards from 5 quards;
- 2 forwards from 4 forwards (one of them must be x);
- 1 center from 4 centers.
It can be made in
different ways.
Therefore, the total number of different lineups is
120+60+120=300.
The zeroes of the given polynomial is 1 and -6.
<h3>What is Polynomials?</h3>
A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
Here, given equation;
f(x) = (x - 1)(x + 6)
for finding the zeros of the equation we need to put.....f(x) = 0
0 = (x - 1)(x + 6)
x - 1 = 0 or x + 6 = 0
x = 1 or x = -6
Thus, The zeroes of the given polynomial is 1 and -6.
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Answer =1/8
The unit fraction is 1/8
A unit fractions one with numerator being 1
She divide the square into 8 and took 1 part out
Hence is 1 out of 8 Represented mathematically as 1/8