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.
What equation is equal to 8-2x=12?
A)2x-8=-12
B)2x-8=12
C)x-4=6
D)2x=20
please help this is 95% of my grade
Answer:
Part 1:
Domain= {2,3,8,9}
Range = {7,9,14}
Part 2: Yes it is not a function
Step-by-step explanation:
Domain is the first number
Range is the second.
Domain= {2,3,8,9}
Range = {7,9,14} ( Notice that 14 is noted twice so just put it as once and this is not part of the answer)
Function: Is any of the domain numbers the same: Answer Yes it's a function.
3
What is the decimal equivalent of 3/9? (5 points)
0.2
0.3
О.4
0.5
Answer: 0.3
Step-by-step explanation: Because thats the answer
Answer:
0.3
Step-by-step explanation:
This is because, when you divide 3/9 it gives you 0.33333.. (Repeating, Irrational number) So you would round to the nearest tenths, which would give you 0.3 because the hundredths place isn't 5 or over. Hope this helps :)
6th grade math i mark as brainliest
sarah has a rope that is 36 feet long she is cutting it into 6 foot pieces to make jump ropes how many jump ropes can sarah make ?
Answer:
she can make 6 jump ropes
The triangles on the grid below represent a translation.
On a coordinate plane, triangle A B C is shifted 5 units to the right and 3 units up to form triangle A prime B prime C prime.
To form the image, the pre-image moved
five units right and three units up.
two units right and three units up.
five units left and three units down.
two units left and three units down
Answer:
B
Step-by-step explanation:
did it on edge
Answer:
A. five units right and three units up.
Step-by-step explanation:
full answer = To form the image, the image moved
five units right and three units up.
Im asking for you're help Citizen I have a question for you Me
Answer:
No idea
Step-by-step explanation:
No idea for that either
Hope this helps, have a good day
Step-by-step explanation:
1. The bag contains fewer than 10 carrots
2.catherin3 biked farther than 10 miles
3.the chair is shorter than 20 in
4.carlos scored over 20 points
geometry help please :)
Answer:
If this is looking at the line In the center then F.
Step-by-step explanation:
The line in the center is the Niscetor of the line segment AC
Please help? I've been trying for a while
Answer:
3 hours
Step-by-step explanation:
yes.
The measures of the angles of a triangle are shown in the figure below. Find the
measure of the smallest angle.
(3x-9)°
(x+15)
Answer:
318.6
Step-by-step explanation:
(3x-9) + (x+15) = 180
3x (x+15) -9 (x+15)
4x + 45x - 9x + 6 = 180
40x + 6 = 180
40x = 180 - 6
40x = 174
x = 4.34
(3x-9) = 4.34 * 3x-9 = 4.02
(x+15) = 4.34 + 15 = 19.34
180 - (4.02 + 19.34)
= 180 - 23.36
= 156.64
hope this answer helps!!
Rudy has three recipes for fruit punch. Each recipe calls for a certain amount of pineapple juice.
Recipe 1 2 cups of pineapple juice for 5 cups of punch
Recipe 2 7.2 cups of pineapple juice for 20 cups of punch
Recipe 3 6.4 cups of pineapple juice for 16 cups of punch
Use the information in the table to complete the statements below.
______ have the same proportion of pineapple juice to punch. For these two recipes, the unit rate of pineapple juice to punch is ________
.
If Rudy used either of these two recipes to make 3 cups of punch, there would be
________ cups of pineapple juice in in the batch.
Answer: Recipes 1 and 3 have the same proportion.
The unit rate is 1 cup of pineapple juice for 2¹/₂ cups of punch
To make 3 cups of punch, there would be 1.2 cups of pineapple juice.
To make 30 cups of punch, there would be 12 cups of pineapple juice.
Step-by-step explanation:
To find proportions, divide the amounts
2/5 = 0.4 7.2/20 = 0.36 6.4/16 = 0.4
I added the 30 cup batch because it seems unlikely that anyone would want to make only 3 cups of punch.
A submarine 50.2 m below the surface of the ocean goes up 15.6 m. Then it goes down 35.7 m. What is the
submarine's new position relative to the surface of the ocean? Show your work.
Help Please?
Answer:
70.3
EXPLANATION:
ejxjcjfkfkgkvkfkdkgnvkdlekgkgngkdkfjvnfk
Can S1 help pls and ty
Answer:
It is 52
Step-by-step explanation:
Hope this helped have an amazing day!
A liquid is 45°C. The temperature needs to be reduced by 3/8 of the current value. What does the new temperature need to be?
Answer:
28.125 degrees
Step-by-step explanation:
3/8 of 45 is 16.875
45-16.875=28.125
PLS HELP
Channel 9 is wondering if its viewers watch more live TV shows than taped TV shows. They selected all elderly viewers who watched last night's live TV show. Channel 9 conducting this interview would be an example of a _____.
Answer:
Channel 9 conducting this interview would be an example of a convenience sample.
Step-by-step explanation:
Convenience sampling is a kind of non-probability sampling (i.e. all items does not have an equivalent chance of being selected), which does not comprises of random collection of items.
Convenience sampling is where we take in items which are easy to reach.
For instance, gathering information on customer satisfaction by interviewing 6 randomly selected customers from a local store is an illustration of convenience sampling.
In this case Channel 9 selected a very easily available sample. Since, the elderly viewers are usually retired and can be reached easily either at home or on the phone, the sampling method used is convenience sample.
Someone PLZ help me plz :
Answer:
2/8
Step-by-step explanation:
hi
Answer:
1/8
Step-by-step explanation:
when adding or subtracting fractions, we will always want the denominators to be the same.
so
We multiply the denominator 4 by 2 so we get an equal denominator of 8.
3/8 - 2/8
and we subtract numerators which will give us:
1/8
Calculate the average time it took the car to travel 0.25 and 0.50 meters with two washers attached to the pulley. Record the averages, to two decimal places, in Table C of your Student Guide.
What is the average time it took the car to travel 0.25 meters?
seconds
What is the average time it took the car to travel 0.50 meters?
seconds
Answer:
1.92 second at 0.25 meters.
2.61 second at 0.50 meters.
Step-by-step explanation:
the average 2 washers on time travel of:
0.25 m : 1.94 / 1.95 / 1.87 = 1.92 second
0.50 m: 2.69 / 2.72 / 2.42 = 2.61 second
In this exercise we have to calculate the time that a car makes in a certain distance, in this way we find that:
A) In 0.25 meters in 1.92 second.
B) In 0.50 meters in 2.61 seconds.
We know that some information is given in the statement as:
In 0.25 meters the car speeds are: 1.94/ 1.95/ 1.87In 0.50 meters the car speeds are: 2.69 / 2.72 / 2.42Knowing that the formula for calculating time is given by:
[tex]Time= Distance/Speed[/tex]
So we have:
A) [tex](1.94 +1.95 + 1.87)/3= 5.76\\0.25/5.76=1.92 s[/tex]
B) [tex]2.69+ 2.72 + 2.42= 7,83\\0.50/7,83=2,61[/tex]
See more about time at brainly.com/question/2570752
What is the area of the triangle?
48 in 2
28 in 2
96 in 2
24 in 2
Answer:
48 in^2
Step-by-step explanation:
To find the area of a triangle is (1/2)*base*height, so (1/2)*4in*24in = 2in*24in = 48 in^2.
Answer:
48 in2
Step-by-step explanation:
when finding area we use the equation A= 1/2bh
b meaning base and h meaning height
so for this we would use A= 1/2(24)(4)
multiply them both to get A=1/2(96)
and then take half of 96 to get 48
so the answer is 48in 2
I will give 5 stars and brainlist.
Answer:
I believe it's B
Step-by-step explanation:
I'm so sorry if im wrong
f(x) = (1/6)^x for x =3
Answer:
1/216 is the answer hope it's right
What is the domain of the square root function graphed below?
8
6
4
2
-6 -4
6
8
х
-6
X>1
O x21
OOOO
x>3
x23
Mark this and return
Save and Exit
Next
Submit
Answer:
x ≥ 3
Step-by-step explanation:
the domain of a graph consists of all the input values shown on the x -axis
The domain of the square root function graphed below would be x ≥ 3
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable , functions are indispensable for formulating physical relationships.
The domain is all real numbers for x>3 and the range of the square root function graphed is equal to the interval------> [1,∞)
so, the range is all real numbers for x>3
Hence, the domain of a graph consists of all the input values of the x -axis.
Learn more about function here:
https://brainly.com/question/2253924
#SPJ7
Grace has two part time jobs. At one job, she works
as a cashier and makes $8 per hour. At the second
job, she works as a tutor and makes $12 per hour.
One week she worked 6 hours and made $56. Which
of the following systems could be used to find the
number of hours she worked at each job?
Answer: the correct answer is number one
Step-by-step explanation:
Use the elimination Method to solve the system of equations. Choose the correct ordered pair.
6x + 4y = 32
-6x+4y = 8
A: 4,2
B: 1,5
C: 0,8
D: 2,5
Answer:
D, 2; 5
Step-by-step explanation:
Sum the equations vertically to eliminate at least one variable.
You will obtain 8y = 40.
Divide both sides by 8. You will get y = 5.
Now we know the value or y. Substitute this value into the second equation (-6x+4y = 8). You will get -6x+(4×5) = 8. Multiply 4 and 5: -6x+20 = 8.
Solve for x by moving 20 to the other side and switching sign: -6x = 8-20.
So: -6x = -12 and therefore x = 2.
So now we know the value of x and y.
(x; y) = (2; 5)
can someone help me !
Answer:
45
Step-by-step explanation:
180 - 75 = 105
105 - 15 = 90
45 x 45 = 90
Answer:
75+2x+15=180
2x=90. x=45
6th grade math i mark as brainliest
The equation, 6x+12=8x-12 has one solution. Solve the equation and show and describe all the steps to show that the solution is of the form x=a.
Final Answer: [tex]x = 12[/tex]
Steps/Reasons/Explanation:
Question: The equation, [tex]6x + 12 = 8x - 12[/tex] has one solution. Solve the equation and show and describe all the steps to show that the solution is of the form [tex]x = a[/tex].
Step 1: Subtract [tex]6x[/tex] from both sides.
[tex]12 = 8x - 12 - 6x[/tex]
Step 2: Simplify [tex]8x - 12 - 6x[/tex] to [tex]2x - 12[/tex]
[tex]12 = 2x - 12[/tex]
Step 3: Add [tex]12[/tex] to both sides.
[tex]12 + 12 = 2x[/tex]
Step 4: Simplify [tex]12 + 12[/tex] to 24.
[tex]24 = 2x[/tex]
Step 5: Divide both sides by [tex]2[/tex].
[tex]\frac{24}{2} = x[/tex]
Step 6: Simplify [tex]\frac{24}{2}[/tex] to [tex]12[/tex].
[tex]12 = x[/tex]
Step 7: Switch sides.
[tex]x = 12[/tex]
~I hope I helped you :)~
What is the solution(s) to the equation? Use algebra only, no graphing.
(5x + 15)(x - 7) = 0
Answer:
x = -3, x = 7
Step-by-step explanation:
( 5x + 15 ) ( x - 7 ) = 0
5x + 15 = 0
5x = -15
x = -3
x - 7 = 0
x = 7
Answer:
x=−3 or x=7
Step-by-step explanation:
(5x+15)(x-7)=0
5x2−20x−105=0
5(x+3)(x−7)=0
x+3=0 or x−7=0
x=−3 or x=7
In what ways do you follow a healthy diet?
2 + (8 - 2)(32+5(1 +2)
find the value of x if 5^2 ×5^x-5 =625
Given:
[tex]5^2\times 5^{x-5}=625[/tex]
To find:
The value of x.
Solution:
We have,
[tex]5^2\times 5^{x-5}=625[/tex]
It can be written as
[tex]5^2\times 5^{x-5}=5\times 5\times 5\times 5[/tex]
Using property of exponents, we get
[tex]5^{2+x-5}=5^4[/tex] [tex][\because a^m\times a^n=a^{m+n}][/tex]
[tex]5^{x-3}=5^4[/tex]
Comparing the exponents on both sides, we get
[tex]x-3=4[/tex]
Adding 3 on both sides, we get
[tex]x=4+3[/tex]
[tex]x=7[/tex]
Therefore, the value of x is 7.