What is the effective annual rate for an APR of 10.60 percent compounded quarterly?
Answer:
The effective annual rate is 11.03%
Step-by-step explanation:
The effective interest rate is calculated through the formula:
[tex]r = (1 + i/n)^n - 1[/tex]
In this formula, r represents the effective interest rate, i represents the stated interest rate or APR, and n represents the number of compounding periods per year.
For a quarterly compounded interest, n=4. The APR i=10.60%=0.106
Given an APR r, the effective annual rate for a quarterly compound is:
[tex]r = (1 + 0.106/4)^4 - 1=1.0265^4-1[/tex]
[tex]r=1.11029-1=0.1103[/tex]
The effective annual rate is 11.03%
Consider the population of the city of Beaumont. Over the course of a year, 800 people move into town. Of those that moved in, 180 have dark hair, 260 have red hair, and the remaining 360 are blonde. During this year a total of 1070 people move out, 470 with dark hair, 270 redheads, and 330 blondes. There are 223 newborns, 47 with dark hair, 90 with red hair, and 86 blondes. Finally, there are 168 deaths, 31 with dark hair, 66 with red hair, and 71 with blond hair. (Assume no one goes bald or changes their hair color.) What is the accumulation of red-haired people in Beaumont, for this year
Answer:
There were 14 red-haired people accumulated in Beaumont, for this year.
Step-by-step explanation:
The number of people who moved into town is = 800Number of dark haired people = 180
Number of red haired people = 260
Number of blonde haired people = 360
The number of people who moved out of town is = 1070Number of dark haired people = 470
Number of red haired people = 270
Number of blonde haired people = 330
The number of newborns in town is = 800Number of dark haired = 47
Number of red haired = 90
Number of blonde haired = 86
The number of deaths in town is = 168Number of dark haired people = 31
Number of red haired people = 66
Number of blonde haired people = 71
Compute the accumulation of red-haired people in Beaumont, for this year as follows:
Red hair = #Moved in - #Moved out + #Newborn - #Deaths
= 260 - 270 + 90 - 66
= 14
Thus, there were 14 red-haired people accumulated in Beaumont, for this year.
The water level of a lake fell by 1 1/2
inches
during a 1 2/3
-week-long dry spell. Find the
average rate at which the water level changed
every week.
Solution,
Change in water level is [tex]1\dfrac{1}{2}\ \text{inches}=\dfrac{3}{2}\ \text{inches}[/tex]
The water level of a lake fell by [tex]1\dfrac{1}{2}[/tex] inches during a [tex]1\dfrac{2}{3}\ \text{or}\ \dfrac{5}{3}[/tex]week-long dry spell.
Average rate at which the water level changed every week is given by :
[tex]R=\dfrac{1\dfrac{1}{2}}{1\dfrac{2}{3}}\\\\R=\dfrac{\dfrac{3}{2}}{\dfrac{5}{3}}\\\\R=\dfrac{3}{2}\times \dfrac{3}{5}\\R=\dfrac{9}{10}\\\\R=0.9[/tex]
Hence, the average rate is 0.9 every week.
Solve the following system of equations
by substitution:
-X+y= -5
2x - 5y=1
Which ordered pair is the solution?
Help
Answer:
Step-by-step explanation:
y = x - 5
2x - 5y = 1
2x - 5(x - 5) = 1
2x - 5x + 25 = 1
-3x + 25 = 1
-3x = -24
x = 8
y = 8 - 5
y = 3
(8, 3)
[tex]\frac{x}{5}[/tex] + 7 = -3
Answer:
[tex]\huge{\fbox{\sf{ x = -50}}}[/tex]
Step-by-step explanation:
[tex]\frac{x}{5} + 7 = -3[/tex]
Take the L.C.M of 5 and 1 ( i.e 5 )
⇒[tex]\frac{x+7 * 5}{5} = -3[/tex]
⇒[tex]\frac{x+35}{5} = -3[/tex]
Do cross multiplication
⇒[tex]x + 35 = -3 * 5[/tex]
⇒[tex]x + 35 = -15[/tex]
Move 35 to right hand side and change its sign
⇒[tex]x = -15 - 35[/tex]
Remember : The negative integers are always added but posses the negative ( - ) sign.
⇒[tex]x = -50[/tex]
The value of x is [tex]\boxed{\sf{ -50}}[/tex]
Hope I helped!
Best regards!
~[tex]\text{ TheAnimeGirl}[/tex]
Here's a linear equation in variable x and we have to compute the value of x for the above equation.
Given equation:
[tex] \large{ \rm{ \dfrac{x}{5} + 7 = - 3}}[/tex]So, Let's start solving the above equation:
Move 7 to the Right hand side,
Remember: Inverse of addition is subtraction
[tex] \sf{ \dfrac{x}{5} = - 3 - 7}[/tex]
[tex] \sf{ \dfrac{x}{5} = - 10}[/tex]
Now multiplying 5 in other side because again the inverse of division is multiplication,
[tex] \sf{ x = - 10 \times 5}[/tex]
[tex] \sf{x = \boxed{ \red{ - 50}}}[/tex]
And the required value for x is -50. So, we are done....
Carry On Learning !
We need a rock garden with perimeter of 12 feet and an area of 8 square feet
Answer:
Width: 4
Length: 2
Step-by-step explanation:
What is the rate if change for y = x - 4
Answer:
The rate of change is 1
Step-by-step explanation:
This is because the slope is x, and -4 is just the y-intercept, which has nothing to do with the slope. Because the slope is x, that means that it is positive 1.
Answer:
Rate of Change = 1
Step-by-step explanation:
Rate of Change = Slope = m
y = mx + b
y = (1)x -4
m = 1
Write the equation of the line that contains the points (5,7) and (5, -12):
Step-by-step explanation:
Well you first have to find the slope, which is y2-y1/x2-x1
Which is -12-7/5-5 and that equals to undefined.
So since you can't find the slope the answer should be undefined.
Hope this helps <3
Marcus is buying a pair of running shoes that are discounted 20% from the original price
of $100. The store is also having a holiday sale, so they will take an additional 20% off the
sale price. How much will Marcus pay for his shoes?
Answer: $64
Step-by-step explanation:
20% of 100 is 20 so 100-20=80. Also 20% of 80 is 16. So 80-16=64. So that’s the answer.
During the first half of a football game, a running back ran for 9 total yards. In the second half, he ran for a loss of 12 yards. What was the running back's total yardage?
Answer:
21
Step-by-step explanation:
The running back's total yardage is 21 yards
From the question we are given the following parameters
Distance travelled in the first half of the game is 9 yards
Distance travelled in the second half of the game is 12 years
In order to determine the running back's total yardage, we will take the sum of the distance travelled as shown
Total distance travelled = 9 yards + 12 yards
Total distance travelled = 21 yards
Hence the running back's total yardage is 21 yards
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For what values of the variable does each of the following expressions make sense? We call the set of this values the domain of the expression. \sqrt{4-6a}
Given:
The expression is [tex]\sqrt{4-6a}[/tex].
To find:
The domain of the expression.
Solution:
We have,
[tex]\sqrt{4-6a}[/tex]
We know that, the square root is defined for only non-negative values. So,
[tex]4-6a\geq 0[/tex]
[tex]4\geq 6a[/tex]
Divide both sides by 6.
[tex]\dfrac{4}{6}\geq a[/tex]
[tex]\dfrac{2}{3}\geq a[/tex]
Thus, the value of variable less than [tex]\dfrac{2}{3}[/tex] make any sense.
Therefore, the domain of the given expression is [tex](-\infty,\dfrac{2}{3}][/tex].
The domain of a function is the set of input values the function can take
The domain of the expression is: [tex]\mathbf{(-\infty, \frac 23]}[/tex]
The expression is given as:
[tex]\mathbf{\sqrt{4 - 6a}}[/tex]
Set the radicand to 0
[tex]\mathbf{4 - 6a = 0}[/tex]
Add 6a to both sides
[tex]\mathbf{6a = 4}[/tex]
Divide both sides by 6
[tex]\mathbf{a = \frac 23}[/tex]
This means that, the value of a must not be greater than 2/3.
Hence, the domain of the expression is: [tex]\mathbf{(-\infty, \frac 23]}[/tex]
Read more about domain at:
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The park has space for the base of the slide to be 7-feet wide. To keep the slide proportional to the model, what will the height of the slide be?
The slide will have a height of
feet.
Answer:
Step-by-step explanation:
It’s 6 feet
Answer:
The answer is 6
Step-by-step explanation:
I just did it on Edgenutiy
Help please?
Only right answers get five stars, and thanks.
Answer:
i know this isn't answering but this will help
Step-by-step explanation:
try the graphing Calculator app called Desmos
its free to use and easy to understand
hope this helped
Answer:
Slope:
−
3
2
y-intercept:
(
0
,
−
2
)
x
y
0
−
2
2
−
5
Step-by-step explanation:
I need help please!!!
Answer:i think 39
Step-by-step explanation:
Please help! (95 points)
Answer:
303.61
Step-by-step explanation:
if you need explantion tell me and i will edit my answer
Answer:
24.4M
Step-by-step explanation:
How do I work this problem -16f+13=2f-11
Answer:
f = 4/3
Step-by-step explanation:
-16f + 13 = 2f - 11
24 = 18f
Divide
24/18 = f
4/3 = f
[tex] - 16f + 13 = 2f - 11[/tex]
Subtract sides -13
[tex] - 16f + 13 - 13 = 2f - 11 - 13 \\ [/tex]
[tex] - 16f = 2f - 24[/tex]
Subtract sides -2f
[tex] - 16f - 2f = 2f - 2f - 24[/tex]
[tex] - 18f = - 24[/tex]
Negatives simplifies
[tex]18f = 24[/tex]
Divided sides by 18
[tex] \frac{18}{18}f = \frac{24}{18} \\ [/tex]
[tex]f = \frac{4}{3} \\ [/tex]
_________________________________
And we're done.....♥️♥️♥️♥️♥️
Solid shape is made 4 cubes. What is the front elevation
The front elevation of the cube will be either a square or a rectangle.
What is a cube?A three-dimensional object with six congruent square faces is called a cube. The cube's six square faces all have the same dimensions.
Given that, a solid shape is made from 4 cubes.
The front face of a cube is square, therefore, the front elevation of 4 cubes will be either a square or a rectangle.
Hence, the front elevation of the cube will be either a square or a rectangle.
Learn more about cubes:
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Find the distance between the points -6.2 and -9.8. Show your work.
Answer:
3.6
Step-by-step explanation:
subtract the numbers
Solve and check |2x + 1| = 9
Answer:
so the lines mean absolute value
which is the exact distance from zero that the number is
now
you subtract one from nine which makes it 2x=8
then
you divide nine by 2x which makes it
x=4
So the answer is four
if it helps mark me brainliest please
Answer:
-5,4
Step-by-step explanation:
I know that 2 numbers will work because it's an absolute function.
2x+1=9
2x=8
x=4
2(-5)+1=|-9| = 9
Answer please will give brainlest answer!
Company A sells hats for $11 per hat plus a fixed $7 shipping and handling fee. Company B sells hats for $8 per hat plus
a fixed $16 shipping and handling fee. The marketing director of company A wants to set up a system of equations to find
the number of hats for which the total cost of an order for the two companies is the same. He uses the variables x and y.
He lets y represent the total cost of an order. What will x represent?
O x = total cost of an order
O x = shipping costs for company B
O x = shipping costs for company A
O x= number of hats
Answer:
Its D
Step-by-step explanation:
x represents the number of hats.
What are Systems of equations?Simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.
There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.
Given, Company A sells hats for $11 per hat plus a fixed $7 shipping and handling fee. Company B sells hats for $8 per hat plus a fixed $16 shipping and handling fee.
Let x be the number of hats and y be the total cost for x hats
For Company A:
per hat charges = 11
charge for x hats = 11 * x
Since, shipping charges = 7
Thus,
Total cost for x hats, y = 11x + 7
For Company B:
per hat charges = 8
charge for x hats = 8 * x
Since shipping charges = 16
Thus,
Total cost for x hats, y = 8x + 16
If the Cost is the same,
11x + 7 = 8x + 16
3x = 9
x = 3
therefore, If we order 3 hats then the cost from both companies will be the same. and x represents the number of hats.
Learn more about the System of equations here:
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What is the number of the parking space covered by the car?
Answer:
87
Step-by-step explanation:
flip the picture upside down.
How do you write 2.8 × 10^5 in standard form?
Answer:
280,000
Step-by-step explanation:
10^5=100,000
2.8 x 100,000=280,000
A group of friends go to the haunted museum
together. Each person pays $6.50 to get in. They
spend a total of $21 for the zombie exhibit. The
total cost is $60. Write an equation and then solve to
find how many people went to the haunted museum.
please answer!!
Graphs of Linear Functions
write an equation for a line parallel to y= 2x- 4 and passing through the point (2,7)
y= ?
Answer:
Y= -8
Step-by-step explanation:
i think so......
KKKKKKKKKKKKKKKKKKK
Find the distance FG between the points F (0,-7) and G (-6,-3) . Round your answer to the nearest tenth, if necessary
Answer:
7.2
Step-by-step explanation:
Round 0.5289 to the nearest thousandth.
Answer:
0.5289 to the nearest thousandth is 0.529.
Step-by-step explanation: If a number is less than 5, round down, but if a number is 5 or more, round up. The digit after the thousandths place is the digit we should look at to answer the question and it is 9, so we round up from 0.528 or 0.529. So, the answer is 0.529.
Given f(x) = x2 – 2x, what is f(-6)?
Solve. 3(x-2)+17=2(x+7)
Answer:
3
Step-by-step explanation:
3x-6+17=2x+14
3x+11=2x+14
x=3
Determine the equation of the inverse of y = e x + 3 - 4
Answer:it would be a
Step-by-step explanation:
I got it right on odseyware
