Answer:
11 years.
Step-by-step explanation:
Given that Carter invested $ 16,000 in an account paying an interest rate of 5.6% compounded monthly, to determine, assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $ 29,600, the following calculation must be performed:
16,000 x (1 + 0.056 / 12) ^ Yx12 = 29,600
Y = 11
16,000 x 1.4666 ^ 132 = X
29,581.70 = X
Thus, rounded to the nearest year, it would take 11 years for the account to reach $ 29,600.
Answer:
2/25 if this is slope.
Step-by-step explanation:
so y^2 refers to the y coordinate of your second point and the same for y^1, but for the first point. Then you want to subtract those. In this one, it would be 18 - 14 = 4. Once you get that, do the same thing for the x coordinates. Ex: 30 - (-20) = 50 (something minus a negative is like addition). Then put your y answer over your x answer as a fraction and simplify. Ex: 4/50 -> 2/25. This is your answer.
Hope this makes since and helps!
Answer:
25
Step-by-step explanation:
see picture for work!
Answer: P(A∪B) = 1/3
Step-by-step explanation:
Red Garments = 1 red shirt + 1 red hat + 1 red pairs of pants
Total Red Garments = 3
Green Garments = 1 green shirt + 1 green scarf + 1 green pairs of pants
Total Green Garments = 3
The total number of garments = Total Red Garments + Total Green Garments:
3 + 3 = 6
Let A be the event that he selects a green garment
P(A) = Number of required outcomes/Total number of possible outcomes
P(A) = 3/6
Let B be the event that he chooses a scarf
P(B) = 1/6
The objective here is to determine P(A or B) = P(A∪B)
Using the probability set notation theory:
P(A∪B) = P(A) + P(B) - P(A∩B)
P(A∩B) = Probability that a green pair of pant is chosen = P(A) - P(B)
= 3/6-1/6
= 2/6
P(A∪B) = 1/2 + 1/6 - 2/6
P(A∪B) = 2/6
P(A∪B) = 1/3
I hope this helps. :)
Answer:
m=7
m−2
5
=
m−4
3
(m−2)*(3)=(m−4)*(5)
3m−6=5m−20
Step 2: Subtract 5m from both sides.
3m−6−5m=5m−20−5m
−2m−6=−20
Step 3: Add 6 to both sides.
−2m−6+6=−20+6
−2m=−14
Step 4: Divide both sides by -2.
−2m
−2
=
−14
−2
m=7
Step-by-step explanation:
