Answer:
Step-by-step explanation:
It’s b trust me I know
Find the amount (future value) of the ordinary annuity. (Round your answer to the nearest cent.)
$300/week for 9 1/2
years at 5.5%/year compounded weekly
Answer: $227,226.51
Step-by-step explanation:
First, we need to convert the period to weeks.
9 1/2 years = 9.5 years
1 year = 52 weeks
9.5 years = 494 weeks
Next, we can use the formula for the future value of an annuity:
FV = (PMT x (((1 + r/n)^(n*t)) - 1)) / (r/n)
where:
PMT = payment amount per period
r = annual interest rate
n = number of compounding periods per year
t = number of years
Plugging in the given values:
PMT = $300
r = 0.055 (5.5% expressed as a decimal)
n = 52 (compounded weekly)
t = 9.5 years = 494 weeks
FV = ($300 x (((1 + 0.055/52)^(52*494)) - 1)) / (0.055/52)
FV = $227,226.51
Therefore, the future value of the annuity is approximately $227,226.51.
Suppose that a study of elementary school students reports that the mean age at which children begin reading is 5.3 years with a standard deviation of 1.1 years.
Step 1 of 2: If a sampling distribution is created using samples of the ages at which 35 children begin reading, what would be the mean of the sampling distribution of sample means? Round to two decimal places, if necessary.
Answer:
The mean of the sampling distribution of sample means is equal to the population mean, which is 5.3 years.
give thanks for more! your welcome!
Step-by-step explanation:
work out the equation of the line which passes through the point (-1,2) and is parallel to the line y=x+4
Answer:
Y=x+3
Step-by-step explanation:
Substitute c=3 and m=1 in eqn 1
y=1x+3
y=x+3
Thus the required equation of the line is found
) Is 38¢ the same thing as .38¢?
Answer: Yes
Step-by-step explanation:
38¢ is exactly the same as .38¢
When 6 is subtracted from twice the
Sum of a number and 8 the result
is 5. Find the number.
According to the question,
The equation will be:
\((2x + 8) - 6 = 5\)By solving the bracket, we get
→ \(2x + 8 - 6 = 5\)
→ \(2x +2 = 5\)
By subtracting "2" from both sides, we get
→ \(2x+2-2= 5-2\)
→ \(2x = 3\)
\(x = \frac{3}{2}\)
Thus the above answer is correct.
Learn more about equation here:
https://brainly.com/question/10807545
Irma has 9 forks and 12 knives to place in silverware holders at the fast food restaurant where she works. She wants to distribute them equally, with no forks or knives left over. What is the greatest number of silverware holders Irma can stock?
Kite FTWN is shown. Find the value of x
The value of x from the given kite is 254.
What is shape kite in geometry?In Euclidean geometry, a kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other.
Given that, m∠N=53°, ∠T=67° and m∠F=(1/2 x-8)°
In kite the two angles are equal where the unequal sides meet.
So, m∠W=m∠F=(1/2 x-8)°
Now, m∠N+m∠T+m∠W+m∠F=360°
53°+67°+(1/2 x-8)°+(1/2 x-8)°=360°
120+x-16=360
x=360-104
x=254
Therefore, the value of x is 254.
Learn more about the kite here:
https://brainly.com/question/2918354.
#SPJ1
what is a Pythagoras theorem
The Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.
What is mathematical representation of Pythagoras theorem?From the given Pythagoras theorem above, the mathematical representation of the theorem would be written below as follows;
C² = a²+b²
Where:
'C' represents the hypotenuse which is the longest part of the triangle and is always diagonal connecting the two other points.'a' represents the perpendicular length that forms the angle 90° of the right angle triangle.'b' represents the base of the triangle.Learn more about Pythagorean formula here:
https://brainly.com/question/28981380
#SPJ1
Plz help me well mark brainliest if correct!....
Answer:
C
Step-by-step explanation:
B can immediately be eliminated because it has an area of 14.
A and C have an area of 10.
So add the sides.
C:
4 + 4 + 1 + 1 + 2 + 2 + 1 + 3
= 18
A: 3 + 3 + 2 + 2 + 1 + 1 + 1 + 1 =
10 + 4 =
14
If a store marks up merchandise by 40% on cost, what is the markup in dollars on an item costing $80?
Hello ! :) please help me with a for me to mark you brainlst :)
Jacquie bought 12 pens for her students for $10.56. If she wants to buy another 18 pens, how much will they cost?
Answer:
$15.84
Step-by-step explanation:
We can write a proportion to solve
12 pens 18 pens
------------ = -------------
10.56 cost
Using cross products
12 * cost = 10.56 * 18
12 cost = 190.08
Divide each side by 12
cost = 190.08/12
cost =15.84
Answer:
$15.84Step-by-step explanation:
Writing a proportion.12 pens 18 pens
------------ = -------------
10.56 cost
Cross products
12 * cost = 10.56 * 18
12 cost = 190.08
( ÷ ) each side by 12
cost = 190.08/12
cost = 15.84
#BrainliestBunchIn a direct variation, y=9 when x=3. Write a direct variation equation that shows the relationship between x and y.
In a direct variation, y=9 when x=3. A direct variation equation that shows the relationship between x and y is y=3x
What do you mean by direct variation?
Direct variation is a type of proportionality when one quantity changes right away in reaction to a change in another variable. This implies that if one number rises, the other will follow suit in a comparable manner. Similar to the last illustration, if one quantity decreases, the other quantity also decreases. Direct variation will have a linear relationship with the graph, resulting in a straight line.
Given,
In a direct variation, y=9 when x=3.
Formulate an equation based on the conditions stated: y=kx
We put the value of the y and x in this equation
9=k*3
Subtract the coefficient of the variable from both sides of the equation
k= 3
We can write the equation of the function by putting the value of k: y=3x
Hence the correct answer is y=3x
To learn more about direct variation from the given link
https://brainly.com/question/2098610
#SPJ1
Find the angle on the unit circle
The angle on the unit circle is solved to be
56.01 degrees (to the nearest tenth)
How to find the angleTo find the angle of the terminal side through the given point on the unit circle, we can use the inverse trigonometric functions.
given that P = ((√5)/4, (√11)/4)
θ = arctan ((√11)/4 / (√5)/4)
θ = arctan((√11)/(√5))
θ ≈ 56.01 degrees
hence to the nearest tenth of a degree, the angle of the terminal side through the point P = ((√5)/4, (√11)/4) on the unit circle is approximately 56.01 degrees.
Learn more about unit circle at
https://brainly.com/question/30403151
#SPJ1
PLEASE HELP
Suppose that the functions fand g are defined for all real numbers x as follows.
f(x) = 5x
g(x)=4x-4
Write the expressions for (g.f)(x) and (g-f)(x) and evaluate (g+f)(2).
(g•f)(x) =
(g-f)(x) =
(g+r) (2)=
-6(y+15)=-3y+6
what value of y makes the equation true
Answer:
y = -32
Step-by-step explanation:
-6(y+15)=-3y+6
Distribute
-6y - 90 = -3y +6
Add 6y to each side
-6y -90+6y = -3y+6y +6
-90 = 3y+6
Subtract 6 from each side
-90 -6 = 3y +6-6
-96 = 3y
Divide by 3
-96/3 = 3y/3
-32 = y
Answer:
-32 !!!!
Step-by-step explanation:
Find the value that makes each equation true.
A. 110%n=11 n=
B.
(328 x 128) x k = 328 x (82 x 128)
K=
Answer:
A. \(n=100\)
B. \(k=0\)
Step-by-step explanation:
A. The equation "110% n = 11" can be solved as follows:
110% n = 11
To solve for n, we need to get rid of the percentage sign (%). We can do this by dividing both sides of the equation by 110%, or 0.110 (since 110% is equivalent to 1.1 in decimal form).
(110% n) / 110% = 11 / 110%
n = 11 / 0.110
n = 100
So, the solution for n in the equation "110% n = 11" is n = 100.
B. The given equation is:
(328 x 128) x k = 328 x (82 x 128) x k
To solve for k, we can simplify the equation using the properties of multiplication.
Step 1: Perform the multiplications inside the parentheses:
41984 x k = 328 x 10576 x k
Step 2: Rearrange the equation by applying the associative property of multiplication:
41984 x k = 328 x (10576 x k)
Step 3: Divide both sides of the equation by 328:
(41984 x k) / 328 = 10576 x k
Step 4: Cancel out the common factor of k on the left-hand side:
(41984 / 328) x k = 10576 x k
Step 5: Simplify the left-hand side:
128 x k = 10576 x k
Step 6: Subtract 10576 x k from both sides of the equation to isolate k:
128 x k - 10576 x k = 0
Step 7: Factor out k on the left-hand side:
k x (128 - 10576) = 0
Step 8: Simplify further:
k x (-10448) = 0
Step 9: Divide both sides of the equation by (-10448):
k = 0
So, the solution for k in the equation "(328 x 128) x k = 328 x (82 x 128) x k" is k = 0.
Suppose a point has polar coordinates (6,5pi/6)with the angle measured in radians.Find two additional polar representations of the point.Write each coordinate in simplest form with the angle in (-2pi, 2pi).
SOLUTION
To find the additional polar representation of a giving point we use the following
1. By adding or subtracting a multiple of 2π to θ
2. By using a negative radius r, and adding an odd multiple to π
Giving the polar coordinates
\((6,\frac{5\pi}{6})\)The additional coordination will be by adding 2π to θ
\(\begin{gathered} (6,\frac{5\pi}{6}+2\pi) \\ \\ (6,\frac{17\pi}{6}) \end{gathered}\)Hence one addition coordinate is (6,17π/6)
To find additional polar coordinates,
We subtract 2π from θ
\(\begin{gathered} (6,\frac{5\pi}{6}) \\ \text{Then} \\ (6,\frac{5\pi}{6}-2\pi) \\ \\ (6,\frac{5\pi-12\pi}{6})=(6,-\frac{7\pi}{6}) \end{gathered}\)Hence, another additional coordinate is (6,-7π/6 )
Therefore, the two additional polar coordinates are (6,17π/6) and (6,-7π/6 )
help me pls!!!! I need the the answer!!!
Answer:
Step-by-step explanation:
Red apples : green apples = 13 : 7
Number of red apples = 13x
Number of green apples = 7x
Number of red apples sold = 60% of 13x
Remaining red apples = 40% of 13x
= 0.4 * 13x
= 5.2x
Number of green apples sold = 55
Remaining green apples = 7x - 55
After selling, ratio
Red apples : green apple = 13 : 12
5.2x : 7x -55 = 13:12
\(\frac{5.2x}{7x-55} = \frac{13}{12}\)
Cross multiply,
12*5.2x =13 * (7x -55) {use distributive rule}
62.4 x = 91x - 715 {add 715 to both sides}
62.4x + 715 = 91x {subtract 62.4 from both sides}
715 = 91x - 62.4x
715 = 28.6x
28.6x = 715
x = 715/28.6
x = 25
Number of red apples = 13x = 13*25 = 325
Number of green apples = 7x = 7 * 25 = 175
b) Number of red apples left = 5.2x = 5.2 *25 = 130
Number of red apples bought now = \(\frac{3}{10}*130\)
= 3*13 = 39
Number of red apples she had at the end = 39 + 130 = 169
In a standard normal distribution, what percent of values are less than -0.23?
Answer:
0.4
Step-by-step explanation:
Fifteen mothers were asked how many months old their babies were when they cut their first tooth. The results are shown below.
8, 8, 6, 8, 9, 10, 5, 7, 9, 5, 9, 7, 6, 8, 7
Find the range and the outlier(s), if any, of the data set.
Answer:
The range is 5, there are no outliers.
Step-by-step explanation:
To find the range, just subtract the smallest number from the largest number. In this case, the largest number is 10 and smallest number is 5. 10 - 5 is 5 so there's your answer!
Find the length of TV.
Answer:
30units
Step-by-step explanation:
Hope this answers helps you
Imagine a clock with the hour hand at 12 and the minute hand at 2. Does the angle formed by the two hands have a measure greater than, less than, or equal to 1/4 turn?
The angle formed by the two hands have a measure less than 1/4 turn
How to relate the measure of the angle to 1/4 turn?From the question, we have the following parameters that can be used in our computation:
A clock with the hour hand at 12 and the minute hand at 2
The turn represented by the above is represened as
Turn = (2 * 30)/360
When simplified, we have
Turn = 1/6
Next, we have
Angle at the turn = 1/4
1/6 is less than 1/4
This means that the angle formed by the two hands have a measure less than 1/4 turn
Read more about angles at
https://brainly.com/question/25716982
#SPJ1
BRAINLIEST !
Ms. Daisy wanted to send a gift to her nephew in India. If the gift costs ₹ 5478, how many AED is that? The exchange rate is 1 AED = ₹ 21.25
Answer:
its 269.42 AED
Step-by-step explanation:
you would just do simple currency conversion for this
Answer:
AED IS 257.78823529411
Step-by-step explanation:
Simply divided them
5478/21.25 = 257.78823529411
If there are 132 stamps on a total of 12 pages in a collector's book, what the unit rate of stamps per page ?
Answer: 11 stamps per page
Step-by-step explanation: 132 divided by 12
A TV cable company has 9600 subscribers who are each paying $36 per month. It can get 160 more subscribers for each $0.50 decrease in the monthly fee. What rate will yield maximum revenue, and what will this revenue be?
The function has the maximum revenue of $348,480 with the increasing rate of $33.
Explain about the maxima of function:The highest and smallest values of a function, respectively, can either be found inside a specific range or distributed throughout the entire domain. They are also sometimes referred to collectively as the function's extrema. The plural forms of a function's maximum and minimum are called maxima and minima, accordingly.
Given data:
We are aware that monthly subscription fees are $36.The corporation can increase its subscription count for a $0.50 drop.We also know that the business has 9600 subscribers and has the capacity to add 160 more.The overall revenue is thus:
y = (36 - 0.50x)(9600 + 160x)
Differentiate with respect to x.
y ' = (-0.50)(9600 + 160x) + 160(36 - 0.50x)
y' = -4800 - 80x + 5760 - 80x
y' = 960 - 160x
To find x, put y' = 0
960 - 160x = 0
x = 960/160 = 6 (critical point)
Function is decreasing in interval - [6, +∞)
Increasing Function in interval - (-∞, 6]
Thus, the function has the maximum value at x = 6.
maximum revenue f(6):
f(6) = (36 - 0.50x)(9600 + 160x)
f(6) = (36 - 0.50(6))(9600 + 160(6))
f(6) = $348,480
Rate : 36 - 0.50(6) = $33
The function has the maximum revenue of $348,480 with the increasing rate of $33.
Know more about the maxima of function
https://brainly.com/question/6787214
#SPJ1
sat question I can’t seem to understand fully.
The value of m + n is given as follows:
A. 18.
How to obtain the value of m + n?The exponential expression for this problem is defined as follows:
\((x^5y^6)^{\frac{1}{5}}(x^3y^4}^{\frac{1}{4}}\)
Applying the power of power rule, we have that the exponents are given as follows:
x: 5/5 + 3/4 = 1 + 3/4 = 7/4.y: 6/5 + 4/4 = 6/5 + 1 = 11/5.Then the values of m and n are given as follows:
m = 7, n = 11.
Thus the sum is given as follows:
m + n = 7 + 11 = 18.
More can be learned about exponent rules at https://brainly.com/question/11975096
#SPJ1
The 44 members of the glee club are trying to raise at least $6,000 so they can compete in the state
championship. They already have $1,230. What inequality can you enter to find the amount each member
must raise, on average, to meet the goal?
Answer:
The inequality 44x + 1230 ≥ 6000 can be used.
Step-by-step explanation:
Number of members = 44
Amount to raise = $6000
Amount already raised = $1230
Let,
x be the amount each member needs to raise.
44x + 1230 ≥ 6000
Therefore,
The inequality 44x + 1230 ≥ 6000 can be used.
Velida took out a 5/1 variable-rate mortgage for $150,000. The interest rate
for the first period was fixed at 5.25%, and the loan was amortized over 30
years. At the end of the initial loan period, the interest rate was 6.75%, plus a
1.5% margin. What will the unpaid balance on her mortgage be after her initial
period expires?
A. $123,740.97
B. $126,805.34
C. $122,773.09
D. $138,224.23
Answer:138.224.23
Step-by-step explanation:
how is finding 8x3/4 similar to finding 3/4 of 8
Answer: your answer would be 6
8*3=24/4 and 24/4=6
Step-by-step explanation: Hope this help :D
Answer:
Because in order to find 3/4 of 8, you must solve for 8 * 3/4.
A helpful tip is that "of" is one of the giveaways of a multiplication problem. Others include but are not limited to, "multiply, " "product," "by," "times," "area," "twice," "double," "thrice," "triple," and "quadruple."
I would appreciate Brainliest, but no worries.