Answer:
Difference= $3,090.15 in favor of compounded interest
Step-by-step explanation:
Giving the following information:
Present value (PV)= $8,500
Ineterest (i)= 0.025/12= 0.00208
Number of periods (n)= 360 months
<u>We will calculate the future value of each option and determine the difference:</u>
<u>Simple interest:</u>
FV= (PV*i*n) + PV
FV= (8,500*0.00208*360) + 8,500
FV= $14,864.8
<u>Compounded interest:</u>
FV= PV*(1+i)^n
FV= 8,500*(1.00208^360)
FV= $17,958.95
Difference= $3,090.15
Let x be the number in the problem. When it states that x is "no more than -10", it means than it is less than or equal to -10. So, we have
x≤-10
In order to cancel out the
on the left and isolate x, we multiply both sides by
(since
·
=1). Thus, we have
x≤-10·
=-15
Therefore, x≤-15
Answer:
If I'm right x= -25
Step-by-step explanation:
11. You’ve done it correctly
12. Let x^2=y
y^2+13y+40=0
(y+8)(y+5)=0
y=8, 5
Since y=x^2
x^2=8 x^2=5
x=+/-√5 x= +/-2√2
13. x^4-x^2-x^2-8=0
x^4-2x^2-8=0
let x^2=y
Y^2-2y-8=0
(y-4)(y+2)=0
y=4, -2
Since y=x^2
X^2=4 X^2=-2
X= +/- 2 This wouldn’t be a real solution
14. It’s pretty much the same process, just substitute y in for x^2. If you’re confused feel free to ask and I can do it, or you can put it through Photomath
15. You’re on the right track so I’m just going to continue from where you left off
x^2(4x+5)-4(x+5)=0
(x^2-4)(4x+5)=0
x= +/- 2 4x=5
x=5/4 or 1 1/4
Hope this helped :)
Answer:
x = 107 , y = 60
Step-by-step explanation:
Each lower base angle is supplementary to the upper base angle on the same side, then
x + 73 = 180 ( subtract 73 from both sides )
x = 107
and
y + 2y = 180
3y = 180 ( divide both sides by 3 )
y = 60
