You deposit $200 each month into an account earning 2% interest compounded monthly. How much will you have in the account in 30 years? How much total money will you put into the account? How much total interest will you earn?
Answer:
A. $99,195.055
B. $72,000
C. $27,195.055
Step-by-step explanation:
A. Calculation for How much will you have in the account in 30 years
Using future annuity formula
Future value=[Deposit amount* (1+Interest rate^n-1)/Interest rate]
Let plug in the formula
Where,
Deposit amount=$200
Number of days=30*12=360
Interest rate=0.02/12=0.0017
Let plug in the formula
Future value=[$200*(1+0.0017^360-1)/0.0/17]
Future value=[$200*(1+0.0017^360-1)/0.0/17]
Future value=[$200*(1.0017^360-1)/0.0/17]
Future value=$99,195.055
Therefore the amount you will have in the account in 30 years will be $99,195.055
B. Calculation for How much total money will you put into the account
Using this formula
Total money=Deposit amount*Number of days
Let plug in the formula
Total money=$200*360 days
Total money=$72,000
Therefore the total money you will put into the account is $72,000
C. Calculation for How much total interest will you earn
Total Interest=$99,195.055-$72,000
Total Interest=$27,195.055
Therefore the total Interest you will earn is $27,195.055
NEED HELP ASAP!!! 16 points !!!
Answer:
will it be b
Step-by-step explanation:
Select three ratios that are equivalent to 7: 6.
Answer:
ratio number 1- 14:12
ratio number 2- 21:18
ratio number 3- 28:24
5
The ink page yield for a printer cartridge indicates how many pages a cartridge
should print. A cartridge rated at 550 pages is 66% full.
How many pages should be left to print?
[2]
How many pages have already been printed?
Total
0
11
Ma
HELP MY TEACHERS ASKING ME FOR THE ANSWER
help a girl outt!! pleasseee answer asapppp:)) will mark brainliest
Answer:
ok
Step-by-step explanation:
A student worked out at a gym continuously for 50 minutes. The graph shows the remaining percentage of the workout as a linear function of x , the time in minutes.
Which answer choice best describes the domain and range of the function for this situation?
Answer:
Step-by-step explanation: the answer is c
Describe and correct the error in finding the value of x.
HELP ASAP!!
PLEASE I WILL GIVE BRAINLIEST
Write the SLOPE INTERCEPT form of a line that passes through point A at (4,-3) and point B at (2,1)
Answer:
y = -2x + 5
Step-by-step explanation:
A(4, -3) ; B(2, 1)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{1-[-3]}{2-4}\\\\= \frac{1+3}{2-4}\\\\= \frac{4}{-2}\\\\= -2[/tex]
m = -2 ; A(4,-3)
[tex]y - y_{1}=m(x-x_{1})\\\\y -[-3] = (-2)(x - 4)\\\\y + 3 = -2*x -4 *(-2)\\\\y + 3 = -2x + 8\\\\ y = -2x + 8 - 3 \\\\ y = -2x + 5[/tex]
Which equation matches the graph ?
Please help!
Answer:
[tex]B. \: \: y = 3x - 2[/tex]
Step-by-step explanation:
I how this HELPS you!
CAN SOMEONE HELP ME WITH THIS IXL ITS P.7 EIGHTH GRADE!!!!
A man buys a TV. The total cost is $2,500, and the sales commission is 8%. How much should the salesperson get as commission for this sale?
Also please show me how you got the answer cause i have to show my work!!!
Answer:
$200
Step-by-step explanation:
First Change the percent to a decimal
In this case the percent was %8, change it into a decimal; 8%=.08
Next multiply 2,500 x .08 which gives you 200
The answer is $200! Hope this helps!.
please help me. im having one of those days
Write an explicit function to describe the sequence.
-16, -13, -10, -7, ...
Answer:
Step-by-step explanation:
y = - 3x
please give me correct answer this is major
Answer:
d
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
help me please I'll mark first answer Brainliest
Answer:
a. True
b. True
c. True
d. False
e. False
I hope this helped! Thank You!
Answer:
a. False
b. True
c. True
d. False
e. False
The sum of the first (n) terms of the sequence is given by the formula (given below) . If this sequence is a geometric progression, find q. If this sequence is an Arithmetic progression, find d
Answer:Example 1:
Find the sum of the first 8 terms of the geometric series if a1=1 and r=2.
S8=1(1−28)1−2=255
Example 2:
Find S10 of the geometric sequence 24,12,6,⋯.
First, find r.
r=r2r1=1224=12
Now, find the sum:
S10=24(1−(12)10)1−12=306964
Example 3:
Evaluate.
∑n=1103(−2)n−1
(You are finding S10 for the series 3−6+12−24+⋯, whose common ratio is −2.)
Sn=a1(1−rn)1−rS10=3[1−(−2)10]1−(−2)=3(1−1024)3=−1023
In order for an infinite geometric series to have a sum, the common ratio r must be between −1 and 1. Then as n increases, rn gets closer and closer to 0. To find the sum of an infinite geometric series having ratios with an absolute value less than one, use the formula, S=a11−r, where a1 is the first term and r is the common ratio.
Example 4:
Find the sum of the infinite geometric sequence
27,18,12,8,⋯.
First find r:
r=a2a1=1827=23
Then find the sum:
S=a11−r
S=271−23=81
Example 5:
Find the sum of the infinite geometric sequence
8,12,18,27,⋯ if it exists.
First find r:
r=a2a1=128=32
Since r=32 is not less than one the series has no sum.
Step-by-step explanation:
Which of the sets of ordered pairs represents a function? (1 point)
P = {(6, −7), (3, −2), (−9, 2), (−5, −7)}
Q = {(−7, 8), (4, −6), (−3, 1), (1, 5)}
Answer:
Conclusion:
Both sets represent the function.
Step-by-step explanation:
We know that a function relates an input to an output.For example, a certain plant grows 10 cm each year. Thus, the height of the plant is associated with its age using the function
h (age) = age × 10
Thus, if the age of the plant is 2 years, the height is:
h(10) = 2 × 10 = 20 cm
Set P
P = {(6, −7), (3, −2), (−9, 2), (−5, −7)}
The set P represents the function because the function relates an input to an output. In other words, here each input is related to exactly one output.
The x-values are 6, 3, -9, and -5.
Thus, there are no duplicated inputs or x-values.
Therefore, the set P of ordered pairs represents a function.Set Q
Q = {(−7, 8), (4, −6), (−3, 1), (1, 5)}
The set P represents the function because the function relates an input to an output. In other words, here each input is related to exactly one output.
The x-values are -7, 4, -3, and 1.
Thus, there are no duplicated inputs or x-values.
Therefore, the set Q of ordered pairs also represents a function.Conclusion:
Both sets represent the function.
Stephen sells gin a bicycle for $138 and a helmet for $18. The total cost for gin is 130% of what Stephen spent originally to buy the bike and helmet how much did Stephen spend originally? How much money did he make by selling the bicycle and helmet to gin?
Answer:
step-by-step explanation
130% ×××××
hai
i'll be friend, babai
-3(x+2)
-------------------------------------------------------------------------------------------------------------------------------
Answer:
-3x-6
Step-by-step explanation:
distribute the -3
Answer:
-3x-6
Step-by-step explanation:
Eric bought a ruler for $1.29 and an eraser for $0.39. He paid with $2.00. What is the correct amount of change he should get back?
Answer:
$0.32, so a quarter a nickel and 2 pennies
Step-by-step explanation:
Answer:
$0.32
Step-by-step explanation:
First, add $1.29+$0.39 to get the total amount of the transaction.
$1.29+$0.39 = 1.68
Then, subtract that from the amount paid.
$2.00-$1.68
= $0.32
Please answer correctly !!!!!!!!!!!!!! Will mark Brianliestttt !!!!!!!!!!!!!!!!!!!!!!!!
Answer:
D {36,47,60}
Step-by-step explanation:
it would have to be {37,48,60} for it to be a right triangle
hope this helps you out
please help IM GIVING 100 POINTS SO PLEASE MAKE SURE ITS CORRECT
Answer:
A is 6 23/56
B is 3 4/15
Step-by-step explanation:
Answer:
a. 6 23/56
b. 3 4/15
Step-by-step explanation:
1. First you need have the same denominators.
5 16/56 and 1 7/56
5 16/56 + 1 7/56 = 6 23/56
2. Again you have to find the same denominators.
4 10/15 and 1 6/15
4 10/15 - 1 6/15 = 3 4/15
3 4/15
4 • 7 – 6 2 ÷ 3 also show your work
Answer:
7 1/3
Step-by-step explanation:
Lets do this in steps ok? K!
Important!!!: Look what operation is first in order of operation no parentheses or exponents so division and multiplication is first!
Step 1-- 4 x 7=28
Step 2-- 62 divided by 3 = 20 2/3
Step 3-- 28- 20 2/3
Step 4-- 27 3/3 - 20 2/3= 7 1/3
Hope this helps ∞<3
Answer:
[tex]-11.3333333333[/tex] [tex]or[/tex] [tex]-\frac{34}{3}[/tex] [tex]or[/tex] [tex]7\ \frac{1}{3}[/tex]
Step-by-step explanation:
[tex]--------------------------------------------[/tex]
[tex]\frac{4\cdot7-62}{3}[/tex] = [tex]?[/tex]
[tex]4\cdot7[/tex] = [tex]28[/tex]
[tex]\frac{28-62}{3}[/tex] = [tex]?[/tex]
[tex]28-62[/tex] = [tex]-34[/tex]
[tex]\frac{-34}{3}[/tex] = [tex]?[/tex]
[tex]\frac{-34}{3}[/tex] = [tex]-11.3333333333[/tex] = [tex]7\ \frac{1}{3}[/tex]
[tex]--------------------------------------------[/tex]
Hope this helps! <3
[tex]--------------------------------------------[/tex]
Evaluate [(30 + 6) -3^2] /9.2
It's 6 srry that guy above just stole free points
I need help matching these
What are the exact solutions of x2 − 5x − 7 = 0, where x equals negative b plus or minus the square root of b squared minus 4 times a times c all over 2 times a
Answer:
[tex]x = \frac{5 + \sqrt{53}}{2}[/tex] or [tex]x = \frac{5 - \sqrt{53}}{2}[/tex]
Step-by-step explanation:
Given
[tex]x^2 - 5x - 7 = 0[/tex]
Required
Solve for x using:
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
First, we need to identify a, b and c
The general form of a quadratic equation is:
[tex]ax^2 + bx + c = 0[/tex]
So, by comparison with [tex]x^2 - 5x - 7 = 0[/tex]
[tex]a = 1[/tex] [tex]b = -5[/tex] [tex]c = -7[/tex]
Substitute these values of a, b and c in
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]x = \frac{-(-5) \± \sqrt{(-5)^2 - 4 * 1 * -7}}{2 * 1}[/tex]
[tex]x = \frac{5 \± \sqrt{25 +28}}{2}[/tex]
[tex]x = \frac{5 \± \sqrt{53}}{2}[/tex]
Split the expression to two
[tex]x = \frac{5 + \sqrt{53}}{2}[/tex] or [tex]x = \frac{5 - \sqrt{53}}{2}[/tex]
To solve further in decimal form, we have
[tex]x = \frac{5 + 7.28}{2}[/tex] or [tex]x = \frac{5 - 7.28}{2}[/tex]
[tex]x = \frac{12.28}{2}[/tex] or [tex]x = \frac{-2.28}{2}[/tex]
[tex]x = 6.14[/tex] or [tex]x = -1.14[/tex]
Find the length of side b
I need help plss
A line has a slope of 3, is increasing, and passes through the point (2,7). What is its y-intercept?
The y-intercept of the line is 1
Using the slope - intercept relation :
y = bx + cc = Intercept; b = slope point (2,7)Substituting the values into the relation :
7 = 3(2) + c
7 = 6 + c
c = 7 - 6
c = 1
Therefore, the y-intercept of the line is 1.
Learn more on Intercept:https://brainly.com/question/25987747
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Geometry help I need the statements and reasons
Each of three colored cups covers one of three objects. 1) The red cup is somewhere to the left of the white cup. 2) The coin is somewhere to the left of the bean. 3) The gray cup is somewhere to the right of the shell. 4) The bean is somewhere to the right of the gray cup. Under which color cup is the shell?
Answer:
Shell is under Red color cup
Step-by-step explanation:
We have 3 cups and 3 objects which they cover under them.
Taking into consideration (4) and (2) as they both describe the position related to bean
(4) Gray cup →Bean (right) (2) coin ← bean (left)
that means coin can either under Gray cup or left to gray cup.
Now
(1) Red ← White (left) (3) Shell → Gray (right)
This means if we consider coin to be left of gray cup then we can't place shell to the left of gray cup as required in (3)
so coin will be under gray cup
on forming the Color of cups and the coin below them
C1 C2 C3
Red Gray White
__ __ __
Shell coin Bean
So Shell is under Red color cup