Answer:
Angle x = 72
Step-by-step explanation:
Angle AHI = Angle HIK = 63
(This is because the two angles are corresponding angles, HI//JK)
Angle x = 180 - 63 - 45
= 72
Answer:
5y+6
Step-by-step explanation:
-3 and 9 are like terms which can be simplified to 6.
Answer:
13/-3
Step-by-step explanation:
Wow! I never had problems this hard in middle school!
But you can do it!
First, we need to figure the number of flips Sara can do based on Jenny's.
Jenny = 120 and Sara - 120 x 3/8 (because she is only 3/8 of Sara's)
Calculate 120 x 3/8 = 45 flips
Now we know that Sara increased her amount of flips by 3 (45 +3 = 48)
And we know that Jenny decreased hers by 12 (120 - 12 = 108)
So now we have a ratio of 48:108, but we need to simplify that with factoring.
I am going to divide first by 2.
24:54
Then 2 again...
12:27
How about 3?
4:9
I think that is as far as we can go.
Sara is now doing 4 out of every 9 that Jenny does.
Check it!
108 (Jenny) x 4/9 = 48 (Sara) Yes! It checks.
<span>We are not told how often the interest is compounded, so assuming it is <em /><u><em>compounded yearly</em></u>, you need to keep $9.99 in the account to pay the fee.
<u><em>Explanation: </em></u>
Compound interest follows the formula A=p(1+r)^t,
where:
A is the total amount in the account,
p is the amount of principal,
r is the interest rate as a decimal number,
and t is the number of years.
<u>For our problem: </u>
A = 9.99,
p is unknown,
r = 0.018% = 0.00018,
and t=1.
<u>This gives us: </u>
9.99=p(1+0.00018)^1;
9.99=p(1.00018).
<u>Divide both sides by 1.00018: </u>
9.99=p.</span>
