Answer:
i) 75.8
ii) 997,002
Step-by-step explanation:
Each of these expressions can be rewritten to make evaluation a little easier.
<h3>i)</h3>
The difference of squares can be factored.
a^2 -b^2 = (a -b)(a +b)
8.79^2 -1.21^2 = (8.79 -1.21)(8.79 +1.21) = (7.58)(10) = 75.8
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<h3>ii)</h3>
The values are near 1000, so can be expressed as differences from that number.
(999)(998) = (1000 -1)(1000 -2) = 1000^2 -3(1000) +2) = 997,002
Answer:
Paul gets £2(9.8) = £19.6, and
Colin gets £1(9.8) = £9.8, and
Brian gets £5(9.8) = £49
Step-by-step explanation:
Find the multiplier x in 2x + 1x + 5x = £78.40.
Summing up the left side: 8x = 78.40
Dividing both sides by 8 to isolate x:
x = 9.8
Then Paul gets £2(9.8) = £19.6, and
Colin gets £1(9.8) = £9.8, and
Brian gets £5(9.8) = £49
As a check, add these together; the sum must be £78.40:
£19.6 + £9.8 + £49 = £78.40. So our figures are correct.
Brian gets £49 and Colin gets £9.8. Subtracting, we obtain:
£39.20. This is the amount by which Brian's tips exceeds Colin's.
Answer:
Step-by-step explanation:
The interior angles of a triangle must add to 180 degrees.
In this triangle, the angles are A, B , and C. So,
∠A is 60 degrees, ∠B is 3x, and ∠C is x. We can substitute the values in.
This is the equation we can use to find the value of x.
We also have like terms: 3x and x that can be combined.
- 60° + (3x+x)= 180°
- <u>60° + 4x=180° </u>
<u />
We can use the equation to solve for x. We have to isolate the variable.
60 is being added to 4x. The inverse of addition is subtraction. Subtract 60 from both sides of the equation.
- 60°-60°+4x=180°-60°
- 4x= 180°-60°
- 4x=120°
x is being multiplied by 4. The inverse of multiplication is division. Divide both sides by 4.
- 4x/4= 120°/4
- x= 120°/4
- <u>x=30 </u>
<span>If you deposit(P) $6,800 in a money-market account that pays an annual interest rate(r) of 5.7%. The interest is compounded quarterly(4). [ The money you have after 3 years(t) is: Using the compound interest formula A=P(1+r/n)^nt, where P=$6800, r=57%=.057,t=+3, n=4. A=$6,800(1+(0.057/4))^(3x4) =$6,800(1+0.01425)^12 =$6,800(1.01425)^12 =$6,800(1.18505961016) =$8,058.41. ]</span>
Answer:
I dont know if you mean .05, but if you do mean that it would be the hundredths place. (if this isnt the right one I'm sorry.)
