Gracie Shay wants to buy a new Hummer in five years. Gracie estimates the cost of the Hummer will be $28,000. If she invests $12,000 now at a rate of 6% compounded semiannually, she:
Answers
Answer:
Option 4 is correct
Step-by-step explanation:
The complete question is as follows:
Gracie Shay wants to buy a new Hummer in 5 years. Gracie estimates the cost of the Hummer will be $28,000. If she invests $12,000 now, at a rate of 6 percent compounded semiannually, she:
1.Will have enough money
2.Will have exactly $16,000
3.Will have $18,000
4.Will have $16,126.80
5.None of these
Solution:-
- The plan is to buy a new Hummer that costs C = $28,000 in t = 5 years.
- She invests P = $12,000 now at an interest rate i = 6% compounded semi-annually.
- We will calculate the amount of money, (compound interest formula), that Gracie has at the end of 5 years:
A = P*( 1 + i )^n
- Where, A : Amount after n periods.
n : Compounding period in years.
- The compounding period (n) is denoted as the number of time the interest in compounded over the time period t. Since the interest is compounded semi-annually then the compounding period would be:
n = t* ( 2 periods / year )
n = 5*2 = 10 periods.
- Now use the above "compounded interest" formula for i to be distributed for the whole year i.e half of 6%:
A = (12,000)*( 1 + 6/200)^10
A = 12,000*(1.03)^10
A = $16126.99
Given that the estimated cost of the Hummer is $28,000, and that she invests $12,000 with a 6% rate compounded semiannually. Semiannually, that would be twice a year, so it is the rate every 6 months. Let's get the 6% of $12,000 and it would be $720. Therefore, she will pay a total of $13,440 in a year. Hope this answer helps.
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Evaluate the expression
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Darrel went to the mall and spent $41. He brought several t-shirts that act cost $12 and he brought 1 pair of socks for $5. How many t-shirts did Darel buy?
write the equation of three lines so that the y-intercept of each is -3.
Answers
Slope and intercept a=-6 b=4
equation for new line:
y=cx+d
If new line is parallel c=a=-6 so
y=-6x+d
We substitude point (2,10)
10=-6*2+d /+12
d=22
so y=-6x+22
b)
y=-
a=-2/3
b=-5
new line:
y=ex+f
If line is perpendicular e=-
so e=
we can write
y=
Substituting point (6,3)
3=
f=3-9
f=-6
y=
Answers
Answer:
B
Step-by-step explanation:
Slope formula: y2-y1/x2-x1
Let (-7, 2) = x1 and y1
Let (4,6) = x2 and y2
6-2/4-(-7)
4/11
B. f(x) = x3 + x2 − x − 1
C. f(x) = x3 + 3x2 − 4x − 12
D. f(x) = x3 + 2x2 − 2x − 1
Answers
Answer:
B. f(x)=x³+x²-x-1
Step-by-step explanation:
The value of the graph f(x) shows that at x=1 and x=-1 must yield f(x)=0
which is true in case B.
A. f(1)=1+1-4-4= -6≠0
C. f(1)= 1+3-4-12=-12≠0
D. f(-1)= -1+2+2-1= 2≠0
Hence, option B is correct
i.e. f(x)= x³+x²-x-1
team. The press he runs can imprint 3 T-shirts
per minute with the school's mascot.
Answers
Answer:
The independent quantity is time and the dependent quantity is T-shirt printed
Step-by-step explanation:
We are asked to determine the dependent and independent quantity.
An independent quantity is a quantity that is not dependent on other quantities while a dependent quantity is a quantity that depends on other quantity. In the the question, the number of T-shirts being made depends on the amount of time the machine works making 3 T shirts per minute, this means that the number of T-shirts made is dependent on the time.
The independent quantity is time and the dependent quantity is T-shirt
Answers
Answer:
2 and 4 hours
Step-by-step explanation:
Check with substitution in the inequality: 10 + 3h < 27
Answers
1 person------------------2*10² g of sodium chloride.
1.8*10³ people---------- x
x=(1.8*10³ people * 2*10² gr of sodium chloride) / 1 person=3.6*10⁵ g of sodium chloride.
answer: 3.6*10⁵ g of sodium chloride.
Answer:
Answer: 3.6*10⁵ g of sodium chloride.
Step-by-step explanation:
I took a Edmentum/plato test