Answer:
C
Step-by-step explanation:
A principal of $6000 is invested in an account paying an annual rate of 5%. Find the amount in the account after 4 years if the account is compounded semiannually, quarterly, and monthly. (a) The amount in the account after 4 years if the account is compounded semiannually is $ nothing. (Round to the nearest cent.)
Solution :
Given :
Principal amount deposited, P = $ 6000
Rate of interest, r = 5%
Number of years, t = 4 years
When the deposited amount is compounded semiannually, i.e. n = 2
Therefore,
Future value,
[tex]$FV = P\left( 1 +\frac{r}{n}\right)^{nt}$[/tex]
[tex]$FV = 6000\left( 1 +\frac{0.05}{2}\right)^{2 \times 4}$[/tex]
[tex]$FV = 6000 \times (1.025)^8$[/tex]
= 6000 x 1.2184
= 7310.4
Therefore, after 4 years there will be $ 7310.4 in the amount when compounded semi annually.
When the deposited amount is compounded quarterly, i.e. n = 4
Therefore,
Future value,
[tex]$FV = P\left( 1 +\frac{r}{n}\right)^{nt}$[/tex]
[tex]$FV = 6000\left( 1 +\frac{0.05}{4}\right)^{4 \times 4}$[/tex]
[tex]$FV = 6000 \times (1.0125)^{16}$[/tex]
= 6000 x 1.219889
= 7319.334
Therefore, after 4 years there will be $ 7319.334 in the amount when compounded quarterly.
When the deposited amount is compounded monthly, i.e. n = 12
Therefore,
Future value,
[tex]$FV = P\left( 1 +\frac{r}{n}\right)^{nt}$[/tex]
[tex]$FV = 6000\left( 1 +\frac{0.05}{12}\right)^{12 \times 4}$[/tex]
[tex]$FV = 6000 \times (1.0041667)^{48}$[/tex]
= 6000 x 1.22089
= 7325.34
Therefore, after 4 years there will be $ 7325.34 in the amount when compounded monthly.
5.) On Wednesday, a restaurant serves coffee to 75 of 150 of its customers.
What percent of the customers ordered coffee?
Answer:
50%
Step-by-step explanation:
Long division
Answer:
50%
Step-by-step explanation:
To find the percent, divide 75 by 150 and multiply by 100:
75/150
= 0.5
0.5(100)
= 50
So, 50% of the customers ordered coffee
calculate the quotient 9/4 divided by 3/8
Answer:
6
....................................
DOG has coordinates D(3,2), O( 2,-4), G(-1,-1) .A translation maps point D to D (2,4). Find the coordinates of O and G under the translation.
Answer:
If you're on edge and it's the multiple choice one it would be a
find the slope of a line that intersects the points (-2,6) and (4,-4)
hurry i’ll give 20 points
What's the nth term of the following question:
−
5
,
−
7
,
−
9
,
−
11
,
−
13
Answer:
-21
Step-by-step explanation:
-13 +(-2) = -15
-15+(-2) = -17
-17+(-2 )=- 19
-19+ (-2)= -21
im really slow help please
Two taxi services charge different rates. Taxi A charges $0.70 per mile
traveled plus an initial charge of $3.00. Taxi B charges $0.90 per mile
traveled. The situation is modeled by this system, where x is the number of
miles traveled and y is the charge for that distance, in cents:
y = 70x + 300
y = 90x
How many miles must each taxi travel for the charges to be equal, and what
is the charge for that distance?
A. Each must travel 9 miles, and the charge is $8.10.
B. Each must travel 10 miles, and the charge is $10.00.
C. The charges will never be equal no matter how far each travels.
Answer:
none of the above
Step-by-step explanation
70x + 300 = 90x
300 = 20x
15 = x
Answer:
each must travel 15 miles, and the charge is $13.50
Step-by-step explanation:
a8ex
20 points!
24, and 25 has to be in simplest form.
JUST NEED HELP ON 24 AND 25!
Answer:
I think they would be 7 4/6 & 5 2/8
Step-by-step explanation:
srry if im late!
What is the compliment of a 45 degree angle
The complement of 45° is the angle that when added to 45° forms a right angle (90° ).
a car was purchased last year for $28,500. now its value is $25,510. at what rate is the car's value depreciating each year?
Answer:
The car's value is depreciating by $2,990 per year.
Step-by-step explanation:
To solve this problem, we just need to subtract the cars value this year, or $25,510, from the car value of last year, or $28,500.
28,500 - 25,510 = $2,990
Since the car value was $2,990 more just last year, the car's value is depreciating by $2,990 per year.
Hope this helps! :D
180=16x -5+5x +4 +9O
Answer:
The answer is in the pic below
Step-by-step explanation:
Answer:
x = 4.3 (repeating 3) in Decimal Form
x = 13/3 in Exact Form
x = 4 1/3 in Mixed Number Form
Step-by-step explanation:
180=16x - 5 + 5x +4 + 90
180 = 21x -5 + 4 + 90 (combine like terms)
180 = 21x + 89
180 = 21x + 89 (subtract 89 on both sides)
-89 - 89
91 = 21x (divide 21 by both sides)
91/21 = 21x/21
4.3 (repeating 3) = x
3(23−2v)+3v=48
what is v?
Answer:
v=7
Step-by-step explanation:
my previous answer was incorrect, my bad
Answer: v=-7
Step-by-step explanation:
3(23−2v)+3v=48
Distribute:
69-6v+3v=48
Combine like terms:
-6v+3v=-3v
69-3v=48
Subtract 69 on both sides:
69-69-3v=48-69
-3v=-21
Divide 3 on both sides:
-3v/3=-21/3
v=-7
There are 57 balls in a bucket. The balls are numbered from 1 to 57. One ballis randomly selected from the bucket.
What is the probability that ball #54 is chosen?
Answer:
1/57
Step-by-step explanation:
Nathan usually drinks 38 ounces of water per day. He read that he should drink 66 ounces of water per day. If he starts drinking 66 ounces, what is the percent increase? Round to the nearest percent.
Answer:
73.6%
Explanation: 38 is the old value and 66 is the new value. In this case we have a positive change of 73.68... percent because the new value is greater than the old value.
Calculate the slope of a line that passes through the points (9, 3) and (19, -17). 10 2 -2 7/5
Answer:
slope = - 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (9, 3) and (x₂, y₂ ) = (19, - 17)
m = [tex]\frac{-17-3}{19-9}[/tex] = [tex]\frac{-20}{10}[/tex] = - 2
A number is selected from the set (1, 2, 3, 5, 15, 21, 29, 38,500). If equal elemental probabilities are assigned, what is
the probability that the number chosen is either less than 29 or odd?
Answer:
7/9 is the answer
Step-by-step explanation:
In 8 divided by 1/5 the number 8 is the?
Answer:
Dividend
Step-by-step explanation:
Dividend ÷ Divisor = Quotient
Answer:
Dividend
Step-by-step explanation:
John has 14 coins that are nickels and dimes. He has $.95 altogether. How
many of each coin does John have?
Answer:
7 nickels the rest are dimes
Step-by-step explanation:
9 times 5 cents= 45
5 times 10 cents=50
What is the first step in isolating the variable in this equation?
(2) p + 75 = 100
D
Subtract 75 from both sides.
B
Subtract 1/2 from both sides.
с
Divide both sides by 75.
D
Divide both sides by 1/2
Answer:
Subtract 75 from both sides.
-8(4+1)
Giving brainlist to the person who gets it right
Answer:
-40
Step-by-step explanation:
I think that's the answer
Answer:
-32
Step-by-step explanation:
solve with order of operations (PEMDAS)
-8(4+1)
-8(4)
-32
There are 30 students in Ms. Prema's history class. 18 of these students turned in an extra credit project at the end of the semester.
Answer:
12 students didnt turn in a extra credit project at the end of the semester.
Step-by-step explanation:
4(x + 2) = 2 (x – 6)
What value of x makes the equation true?
A. 1
B. -7
C.-10
D.8
For his long distance phone service, Eric pays a $3 monthly fee plus 11 cents per minute. Last month, Eric's long distance bill was $21.59. For how many minutes was Eric billed?
Answer:
169 minutes
Step-by-step explanation:
Hope you have a great day and good luck for tests and upcoming exams.
Can someone help me pls
Answer:
(-0.5, 0)
Step-by-step explanation:
The easiest way to do this question is by going to the left 0.5 and seeing how far you need to go up or down.
PLEASE HELP!!!
Use linear equation to calculate intercepts.
x - 1/2y=-4
complete the table with values for a and b.
a=
b=
Answer: a=8 b=-4
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
Determine if this is a function or not based on the graph
O yes
O no
Answer:
yes
Step-by-step explanation:
brainiest plz
Select the values that makes the inequality -w≥ 7 true. Then write an equivalent inequality, in terms of w
The values of [tex]w[/tex] that make the inequality [tex]-w\ge7[/tex] true are
[tex]\{... ,-11,-10,-9,-8,-7\}[/tex]. An equivalent inequality, in terms of [tex]w[/tex], is [tex]w\le-7[/tex]
To get the values that make the inequality true, we have to solve the inequality for [tex]w[/tex]. This will also give an equivalent inequality in terms of [tex]w[/tex]
[tex]-w\ge7\\\\\implies \dfrac{-w}{-1}\le\dfrac{7}{-1}\\\\w\le-7[/tex]
the solution set is the set of values [tex]\{... ,-11,-10,-9,-8,-7\}[/tex]. In other words, [tex]w[/tex] can take up values less or equal to [tex]-7[/tex] to make the inequality [tex]-w\ge7[/tex] true
Also, the inequality equivalent to [tex]-w\ge7[/tex] is [tex]w\le-7[/tex]
Learn more about solving inequalities here https://brainly.com/question/12306534
please help i need this done by the next hour
The sector of a circle is shown below. It has a radius of 10 centimeters and a central
angle of 51 degrees. Find to the nearest tenth in both cases:
(a) the length of AB in centimeters(b) the area of the sector in square centimeters
Answer:
1. 9.8 cm
2. 44.5 cm^2
Step-by-step explanation:
1. To find the length of arc AB, we use the formula for the length of an arc
Mathematically, that will be;
theta/360 * 2 * pi * r
theta is the central angle which is 51
r is the radius which is 10 cm
So we have
51/360 * 2 * 22/7 * 10 = 8.9 cm
2. The area of the sector
we use the formula for the area of a sector here,
That is;
theta/360 * pi * r^2
51/360 * 22/7 * 10 * 10
= 44.5 cm^2
Use this rule: y = -x + 4
What number are you multiplying by?
Answer:
the answer is two because if it is 4 then you you are multiplying by 2