Answer:
see explanation
Step-by-step explanation:
The Remainder theorem states that if f(x) is divided by (x - h) then
f(h) is the remainder, thus
division by (x - 1) then h = 1
f(1) = 4(1)³ - 7(1)² - 2(1) + 6
= 4 - 7 - 2 + 6 = 1 ← remainder
The factor theorem states that if (x - h) is a factor of f(x), then f(h) = 0
Here f(1) = 1
Hence (x - 1) is not a factor of f(x)
Answer:
The sum is 493.4
Step-by-step explanation:
In order to find the value of the sum, you have to apply the geometric series formula, which is:
where i is the starting point, n is the number of terms, a is the first term and r is the common ratio.
The finite geometric series converges to the expression in the right side of the equation. Therefore, you don't need to calculate all the terms. You can use the expression directly.
In this case:
a=40
b= 1.005
n=12 (because the first term is 40 and the last term is 40(1.005)^11 )
Replacing in the formula:
Solving it:
The sum is 493.4
1. answer is $246.68 (rounded) because 230 x 1.0725 (multiplier) is $246.675.
2. answer is B
3. answer is A rounded because you will get (51.5962...)
4. answer is A because when divide 40 by 42.59 you get 1.06475 (but that is the multiplier) so the answer is A
5. answer is A because 12000x 1.04 is 12480 and 12480-12000=480
6.I guess the answer is D but the total he earns is $2440 but from the one car he earns $2240 +$200 (which he earns anyway)
7.answer is A $9.16
8. the answer is B
(J-)Hope this helps
Answer:
Salesman is not correct
Step-by-step explanation:
First we calculate the share of salesman when 60 percent of bonus is shared among 7 salesmen:
Bonus Share For 7 Salesmen = (0.6)(£ 2100)
Bonus Share For 7 Salesmen = £ 1260
Now, this is equally divided among 7 salesmen:
Bonus Share of 1 Salesmen (when 60% is shared) = S₁ = £ 1260/7
S₁ = £ 180
Now, we calculate the share each salesmen get if bonus is equally divided among 10 people:
Bonus Share of 1 Salesmen (when equally shared) = S₂ = £ 2100/10
S₂ = £ 210
S₂/S₁ = £ 210/£ 180
S₂/S₁ = 1.16
S₂ = 1.16S₁
S₂ = 116% of S₁
This means that if bonus is equally divided between all 10 people then the salesman will get 16 percent more money.
<u>Therefore, salesman is not correct</u>
Answer:
9
Step-by-step explanation:
