Answer:
3h²
Step-by-step explanation:
factor or breakdown 3h² : 3 * h * h
factor or breakdown 3h³ : 3 * h * h * h
Now, we can see that 3 * h * h is common so 3h² is the gcf.
Answer:
0.667
Step-by-step explanation:
Angle in a circle = 360°
Area of total shaded parts = 60 + 60 = 120°
Area of total unshaded parts = 360-120 = 240°
Probability that a random selected point within the circle falls in the unshaded area
= 240/360
= 2/3
≈ 0.667
I apologize in advance if I made a mistake.
Multiply her monthly payment by the number of months she paid so far:
567 x 48 = 27,216 paid so far.
Now add the amount she still owes:
27,216 + 1,250 = $28,466 total price.
Answer: Yes
Step-by-step explanation: 144 is a perfect square. In other words, it's possible to find a whole number that can be multiplied by itself that gives us 144.
In this case, we multiply 12 by 12 or 12² to get 144 which means 144 is a perfect square. Also, it's on our perfect square list which I will attach below.
Answers:
- <u>24000 dollars</u> invested at 4%
- <u>18000 dollars</u> was invested at 7%
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Work Shown:
x = amount invested at 4%
If she invests x dollars at 4%, then the rest (42000-x) must be invested at the other rate of 7%
She earns 0.04x dollars from that first account and 0.07(42000-x) dollars from the second account
This means we have
0.04x+0.07(42000-x)
0.04x+0.07*42000-0.07x
0.04x+2940-0.07x
-0.03x+2940
This represents the total amount of money earned after 1 year.
We're told the amount earned in interest is $2220, so we can say,
-0.03x+2940 = 2220
-0.03x = 2220-2940
-0.03x = -720
x = -720/(-0.03)
x = 24000 dollars is the amount invested at 4%
42000-x = 42000-24000 = 18000 dollars was invested at 7%
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As a check, we can see that
18000+24000 = 42000
and also
0.04x = 0.04*24000 = 960 earned from the first account
0.07*18000 = 1260 earned from the second account
1260+960 = 2220 is the total interest earned from both accounts combined
This confirms our answers.
