Answer:
8 months
Step-by-step explanation:
Subtract $150 from $430 to get $280, the amount if money that Manuel has to earn to reach his goal.
If he is adding $35 to his account each month, then all you have to do is divide the amount you need by the amount you are earning each month to get the number of months until you reach your goal.
$280 divided by $35 is 8, so it would take 8 months for Manuel to reach his goal.
Answer:
Step-by-step explanation:
common ratio=18/-3=-108/18=-6, a=-3
sn=a(r^n-1)(r-1)
sn=-3((-6)^n-1)(-6-1)
sn=-3(-6)^8-1)/(-7)
s8=-3(1679615)/(-7)
s8=719836
Answer:

Step-by-step explanation:

<, > - open circle
≤, ≥ - closed circle
<, ≤ - draw the line to the left
>, ≥ - draw the line to the right
*If you need me to do #5, DM me!
3. The area of a triangle can be given by (just plug and chug as always):

The area of the triangle is
6ft².
4. I will divide into a triangle and a rectangle (because the actual equation for the area of a pentagon requires it to be a perfect pentagon). Let's do the triangle first (height is 3 because you subtract 12 from 15):


Now we just add them:

So, the area of that pentagon is
108m².
5. You are actually wrong on this one because the area of a triangle is:

So, just halve your answer and it will be correct.
6. We can just split it into 4 triangles of equal area and then multiply the area of 1 triangle by 4 to get the total area. Let's do just that:

Multiply by 4 to get total area:

So, the area of the given rhombus is
25cm².
Answer:
f(x) = -3|x| + 2x - 1
f(-5) = -3|-5| + 2*(-5) - 1
= -3*5 + 2*(-5) - 1
= -15 - 10 - 1
= -26
Hope this helps!
:)