Answer:
C)1/3
Step-by-step explanation:
So there are 18 marbles in all.So the denominator should we eighteen unless we can simplify it.There are 6 yellow marbles,so the numerator can be 6 unless simplified.In this case,the fraction is 6/18.We can simplify it.The GCF(greatest common denominator) is 6.That makes it 1/3.
Answer: she will have $2042.4 have in the account after 1 year.
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1 + r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = $2000
r = 2.1% = 2.1/100 = 0.021
n = 12 because it was compounded 12 times in a year.
t = 1 year
Therefore,
A = 2000(1 + 0.021/12)^12 × 1
A = 2000(1 + 0.00175)^12
A = 2000(1.00175)^12
A = $2042.4
Answer:
9.5
Step-by-step explanation:
Answer:
m∠1 = 112°
Step-by-step explanation:
To solve for m∠1, we need to find the supplementary angle and subtract from 180°. We also know that m∠2 = 44° and the remaining two angles inside the triangle are the same because of the congruent sides, let's call each angle x.
Therefore m∠2 + x + x = 180; combine x's
m∠2 + 2x = 180; substitute m∠2 = 44°
44 + 2x = 180; subtract 44 from both sides
2x = 136; divide by 2
x = 68°
Therefore using the supplementary angle
x + m∠1 = 180 (because it is supplementary)
68 + m∠1 = 180; subtract 68 from both sides
m∠1 = 112°
I would say D. point G would be the correct answer
