Answer: 4.01% interest rate
This value is approximate. It is rounded to the nearest hundredth of a percent.
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Work Shown:
A = P*e^(r*t)
1833 = 1500*e^(r*5)
1833/1500 = e^(5r)
1.222 = e^(5r)
e^(5r) = 1.222
5r = Ln(1.222)
5r = 0.2004888607494
r = 0.2004888607494/5
r = 0.04009777214989
r = 0.0401
r = 4.01%
Expand it so the expression would equal
5x^2+11x+2=-1
move the negative one over by adding one to both sides
5x^2+11x+3=0
then do the quadratic formula
x=-b+/- (√(b^2-4ac))/2a
where b = 11 a=5 and c=3
Answer:
To find the answer, you must multiply/divide the amount in cups by calories per cup.
Step-by-step explanation:
Butter only has 0.3 cups, so The calories will only be 30% of what is written down. 30% of 1627= <u>488.1 calories</u>
Marshmallows is 4.25 times larger then the calories per cup, so now you'll have to multiply.
4.25*159=<u>675.75 calories</u>
Finally, Cereal is 5.5 times larger then the calories per cup, so we will multiply again.
5.5*101=<u>555.5 calories</u>
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Finally, add all the number together to find the total amount of calories in the marshmallow treats.
555.5+675.75+488.1=<u>1,719.35 calories</u>
There is a total of 1,719.35 calories in the marshmallow treats.
9514 1404 393
Answer:
Step-by-step explanation:
The rotation matrix for 90° CCW is ...
Then the rotated coordinates are ...
_____
The transformation of each ordered pair is ...
(x, y) ⇒ (-y, x)