Answer:
x=3
Step-by-step explanation:
I guessed and checked which x value would make ABC proportional to DBE. If x=3, than DB=8 which is double BE. If x=3, than AB=14 which is double BC. Since it is proportional, It should be correct. I don't remember the actual way you solve this with a formula but this makes sense to me.
Answer:
1,265,622
Step-by-step explanation:
exponents mean you divide the number by itself however many times the exponent tells you to then you go from there
Answer:
350
Step-by-step explanation:
40% of 250 is 100 (10% of 250 is 25 and 25 times 4 is 100)
250+100 is 350
Answer:
$39056
Step-by-step explanation:
As we know, the final Amount can be calculated with the formula for compound interest,
![A = P(1 + \frac{r}{n} )^{nt}](https://tex.z-dn.net/?f=A%20%3D%20P%281%20%2B%20%5Cfrac%7Br%7D%7Bn%7D%20%29%5E%7Bnt%7D)
where,
A = Final Amount
P = Initial principal amount
r = rate of interest in decimal
n = number of times applied per time period
t = total time period
Now, according to the given data,
P = $23000
r = .038
n = 4
t = 14
so,
![A = 23000(1 + \frac{.038}{4} )^{4(14)}](https://tex.z-dn.net/?f=A%20%3D%2023000%281%20%2B%20%5Cfrac%7B.038%7D%7B4%7D%20%29%5E%7B4%2814%29%7D)
A = 39055.476
Answer:
He failed to check for extraneous solutions
Step-by-step explanation:
sqrt(x+6) -4 =x
Add 4 to each side
sqrt(x+6) -4+4 =x+4
sqrt(x+6) =x+4
Sqaure each side
(sqrt(x+6))^2 =(x+4)^2
x+6 = x^2 +8x+16
Subtract 6 from each side
x = x^2 +8x +10
Subtract x from each side
0 = x^2 +7x +10
Factor
0 = (x+5) (x+2)
Using the zero product property
x=-5 x=-2
Check the solutions
sqrt(-5+6) -4 =-5
sqrt(1) -4 = -5
1-4 =-5
-3 does not equal -5 not a solution
sqrt(-2+6) -4 =-2
sqrt(4) -4 = -2
2-4 =-2 is a solution