Answer:
Kayleigh will have a total of $4608.
Step-by-step explanation:
First, you use the formula, I=PRT (Interest=Principal, Rate, Time), then you distribute the numbers: (I=4500x0.8%x3) when you multiply them all, you get $108, then you lastly add 108 to 4500, and you get your final answer of $4608.
There's no such thing as the "length"of an angle.
But we know what you're getting at.
You have said that the angles are complementary. If two angles are
complementary, then their sum is 90 degrees, so we can take your
two angles and write:
<u>x</u> (one angle) plus <u>(2x + 12)</u> (the other one) <u>= 90 degrees
</u><u /> x + 2x + 12 = 90<u>
</u>Subtract 12 from each side: x + 2x = 78
Add the x's on the left side: 3x = 78
Divide each side by 3 : x = 26 degrees
One angle is 'x' = <em>26 degrees</em>
The other one is (2x + 12) = 52+12 = <em>64 degrees</em>
Let $x be invested in the account that paid 5% simple interest.
Let $y be invested in the account that paid 10% simple interest.
The total invested is $10,000, therefore
x + y = 10000 (1)
The interest amounts earned are respectively
x*1*0.06 = 0.06x
y*1*0.10 = 0.10y
The total interest earned is $760, therefore
0.06x + 0.10y = 760
Multiply through by 10 to obtain
0.6x + y = 7600 (2)
Subtract (2) from (1).
x + y - (0.6x + y) = 10000 - 7600
0.4x = 2400
x = $6,000
From )1), obtain
y = 10000 - 6000 = $4,000
Answer:
$6,000 in the account paying 6% simple interest, and
$4,000 in the account paying 10% simple interest.
They are actually the same.....Hope this helped you!!
Tessa made a mistake on line 3.
As you can see, the line below says 8x+12=-20. This is perfectly fine. Though when she gets rid of 12, she adds twelve. So if she did, it would look like 8x+24=-8. No, she made it 8x=-8. When getting rid of something, you must do it's value's opposite. Therefore, it would be 8x=-32. Since subtracting negative by negative is negative.
