Answer:
0.26666666666
Step-by-step explanation:
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Answer:
Hi there!
The correct answer is: (x+8)² = 73
Step-by-step explanation:
First you want to modify the equation: x² + 16x - 6 = 3 into x² + 16x = 9 by adding 6 on both sides.
Then you analyze the new equation, if you can see, 16x is positive which means two positive numbers have to be added up to equal a positive. Which eliminates the choices that have (x-8)²
And now you are left with two choices:
(x+8)² =73 and (x+8)² = -55
Now remember, when you factor out (x+8)² it equals to x² + 16x + 64
next let's bring it back to the very first equation: x² + 16x = 9
now which choice matches the result x² + 16x = 9. The answer will be (x+8)² = 73 because when you subtract 64 on both sides you get 9.
Answer:
a) $3,571.02
b) $3,572.9
c) $3,573.74
Step-by-step explanation:
Data provided in the question:
p = $3000,
r = 3.5%,
t = 5 years
a) quarterly
number of periods in a year, n = 4
Interest rate per period = 3.5% ÷ 4 = 0.875%
Now,
A = total amount
n = number of times compounded per year
on substituting the respective values, we get
A = 3000 × 
A = 3000 × [/tex]\cdot { 1.00875 } ^ { 20 }[/tex]
A = 3000 × 1.19034
A = $3,571.02
b) monthly
number of periods in a year, n = 12
Now,
A = 
on substituting the respective values, we get
A = 3000 × 
A = 3000 × [/tex]\cdot { 1.002917} ^ { 60 }[/tex]
A = 3000 × 1.190967
A = $3,572.9
c) continuously
A = 
on substituting the respective values, we get
A = 3,000 × 
or
A = 3,000 × 
or
A = 3,000 × 1.1912
or
A = $3,573.74
Peter paid 0.85 tax which is at 7.1% sales tax
Expand out, this literally just wants you to multiply everything by -1.
so 7*-1 = -7
-c*-1 = c
thus putting them together to get -7+c which is just c-7
