Answer:
Monthly payment = 241.925
Step-by-step explanation:
Effective interest rate is the actual interest paid at the end of the year AFTER compounding. Most credit cards charge x% ("APR", annual percentage rate)annually. Since it is compounded monthly, each month the balance increases by (x//12)%, and by the end of the year, you will be paying effectively (x//12)^12 %, which is the effective interest rate.
Here, effective (annual) interest rate is 8%. We need the monthly rate, i.
(1+i)^12 = 1.08
Solving, we have i = 0.6434% monthly approximately
To balance the deposits and withdrawals, we note that the last withdrawal is the beginning of year 19, and the last deposit is the last month of year 18. We therefore conclude that the "future values" fall on the same day, and that they are equal.
We consider the annual deposits D (accumulated at the end of the year, and annual withdrawals W are in separate accounts. By the end of the operations, one will balance the other (they are equal).
We will need the following formula to calculate future value F given the periodic amount, A, interest rate per period, i, and the number of periods.
F(A,i,n) = A*((1+i)^n-1)/i
Step 1:
calculate the future value of the withdrawals
A = W = 25000 (annual withdrawal)
i = 8% (effective annual interest)
n = 4 years (beginning of 16,17,18,and 19th years)
F(A,i,n) = A*((1+i)^n-1)/i
= 25000( (1+0.08)^4 - 1)/(0.08)
= 112652.80
This is also the total deposit after eighteen years.
Step 2:
calculate the future value of the annual deposits D
A = D (total of annual deposits)
i = 8% (effective annual interest)
n = 18 years
Future value of deposits
F(A,i,n) = A*((1+i)^n-1)/i
= D( (1+0.08)^18 -1 ) / 0.08
= 37.45024373981167D
Since this must equal the total withdrawal, we equate the two to calculate D.
37.45024373981167D=112652.80
and solve for D
D = 112652.80 / 37.45024373981167
= $3008.0659
Step 3
Calculate monthly deposit, X
Effective interest rate is the actual interest paid at the end of the year AFTER compounding. Most credit cards charge x% ("APR", annual percentage rate)annually. Since it is compounded monthly, each month the balance increases by (x//12)%, and by the end of the year, you will be paying effectively (x//12)^12 %, which is the effective interest rate.
Here, effective (annual) interest rate is 8%. We need the monthly rate, i.
(1+i)^12 = 1.08
The actual monthly interest rate is therefore
i = 1.08^(1/12)-1
Over a 12 month period, (one year), the monthly amount X to accumulate an annual amount D (=$3008.0659) is therefore given by
D = X*((1+i)^n-1)/i
3008.0659 = X*(1.08-1)/(1.08^(1/12)-1)
or the monthly amount
X = $3008.0659 / ( 1.08^(1/12)-1)
= 241.925 per month.
=
Question 8 of 10
Which property of polynomial multiplication says that the product of two
polynomials is always a polynomial?
A. Distributive
B. Addition property of equality
C. Commutative
D. Closure
Answer:
D. Closure
Step-by-step explanation:
D. Closure
need help? will get brainlylist
Answer:
its the first answer.
hope this helps you a lot.
Chord is a line that joins any two points on the circle
AC,BC
OPTION A is the correct answer
Select the correct answer. What is -16 + 49 written as a complex number in the form ? A. 7 + 4i B.7 - 4i C.-4+7i D.4+7i
Answer:
A. 7 + 4i
Step-by-step explanation:
Select the correct answer. What is -16 + 49 written as a complex number in the form ? A. 7 + 4i B.7 - 4i C.-4+7i D.4+7i
Writing as a complex number, we find the square root of -16 + 49
Hence:
√ -16 + 49 = √-16 + √49
= 4i + 7
Rearranging
= 7 + 4i
Therefore, the correct option is A. 7 + 4i
Find k if (x+1) 2x^3+kx^2+1
Find k if (x+1) is a factor of 2x³ + kx² + 1
Answer:
k = 1
Step-by-step explanation:The factor of a polynomial F(x) is another polynomial that divides evenly into F(x). For example, x + 3 is a factor of the polynomial x² - 9.
This is because;
i. x² - 9 can be written as (x - 3)(x + 3) which shows that both (x - 3) and (x + 3) are factors.
ii. If x = -3 is substituted into the polynomial x² - 9, the result gives zero. i.e
=> (-3)² - 9
=> (9) - 9 = 0
Therefore, if (x + a) is a factor of a polynomial, substituting x = -a into the polynomial should result to zero. This also means that, if x - a is a factor of a polynomial, substituting x = a into the polynomial should give zero.
From the question
Given polynomial: 2x³ + kx² + 1
Given factor: x + 1.
Since x + 1 is a factor of the polynomial, substituting x = -1 into the polynomial should give zero and from there we can calculate the value of k. i.e
2(-1)³ + k(-1)² + 1 = 0
2(-1) + k(1) + 1 = 0
-2 + k + 1 = 0
k - 1 = 0
k = 1
Therefore the value of k is 1.
Find the length of CD
someone help me with this
Answer:
-27 or 1/27 ( both are same)
Step-by-step explanation:
-[tex]3^{3}[/tex]
-3 * -3 * -3
=-27 or 1/27
Two companies allow you to pay monthly for your food truck permits. Company A charges a one time fee of $150 and $45 per month. Company B charges a one time fee of $125 and $50 per month. At how many months will the cost be the same for both companies?
Answer:
5 months
Step-by-step explanation:
150 + 45x = 195 240 285 330 375 420
125 + 50x = 175 225 275 325 375 425
What is the value of f(1)?
A. 0
B. 1
C. 2
D. 4
Answer:
The value of f(1) is A. 0
Step-by-step explanation:
In this question, when they ask what is the value of f(1), they want you to tell them what is the "y" coordinate of the point with the "x" coordinate equal to 1. In our case, the point with the "x" coordinate equal to 1 has the "y" coordinate equal to 0. Therefore, the value of f(1) is A. 0
How do I do this ? no links please
Hey there!
ASSUMING….
-14.4 = -1.2m
-1.2m = -14.4
DIVIDE -1.2 to BOTH SIDES
-1.2m/-1.2 = -14.4/-1.2
SIMPLIFY IT!
m = -14.4/-1.2
m = 12
Therefore, the answer should be:
m = 12
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
someone please help me
Answer:
a. 15%
b. .73
c. 39/100, .39
d. .04, 4%
e. 77/100, 77%
f. 46/100, .46
g. .5, 50%
h. 6/100, 6%
i. 80/100, .8
j. .26, 26%
Step-by-step explanation:
Let's do the Fraction to Percent part first. Since all of the fractions have 100 in the denominator, this should be easy. The first one is 15/100 so this is just 15%, the next one is 73/100 and you can see that it is just 73%. It is the same way going from Percent to Fraction. On part f, we have 46%, so this will be 46/100.
For decimals, I recommend getting the percent first. I will use part f as my example again. You start with 46%. To make this a decimal, you just move the decimal point two spaces to the left. So, you end up with 0.46. To go from decimal to percent, you just move the point 2 spaces to the right.
Help me emergency please
I think it's the second one since the line goes the whole way through the circle. but it's hard to tell.
do you happen to know if it's the radius it diameter?
Answer:
Step-by-step explanation:
radius=diameter/2
=11/2
=5.5 mm
circumference=2πr
=2*3.14*5.5
=34.54 mm
Cameron is making trail mix. The ratio of peanuts to raisins to walnuts is 3:2:1. If there are 224 raisins, how many total peanuts and walnuts are there?
Answer:
336 Peanuts
112 Walnuts
Step-by-step explanation:
So first, you can not change the order of the items in a ratio. So the 224 raisins will be in the middle.
It will look like _ : 224 : _
Next, divide 224 by 2 to get the number of walnuts, the number on the right.
So the number on the right will be 112.
Next, multiply 112 by 3 to get 336.
Please dont put any files or links. answer each equation please.
Answer:
23 thousandths. = 23 ÷ 10^3
9+4 × (6÷3) > (9+4×6) ÷ 3
5 tens + 2 hundredths. < 50.20
810.6 ÷ 10. = 8.106 × 10
Below are two parallel lines with a third line intersecting them.
Answer:
56
Step-by-step explanation:
they are same side interior angles so both add up to 180 so just subtract 124 from 180 to get 56
The elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the y-variable, and what is the solution for this system?
The question is incomplete, the complete question is:
The elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the y-variable, and what is the solution for this system?
x + 3y = 42
2x − y = 14
A: Multiply the second equation by -3. The solution is x = 12, y = 9.
B: Multiply the second equation by -2. The solution is x = 12, y = 10.
C: Multiply the second equation by 2. The solution is x = 15, y = 9
D: Multiply the second equation by 3. The solution is x = 12, y = 10
Answer: The correct option is D.
Step-by-step explanation:
The elimination method is a technique wherein we eliminate the coefficient of any one variable.
The given equations are:
x + 3y = 42
2x − y = 14
We multiply the second equation by (3) and the equations formed are:
x + 3y = 42
6x − 3y = 42
The final equation after eliminating the y-term becomes:
7x = 84
x = 12
Putting value of 'x' in any of the original equation, we get:
⇒ 12 + 3y = 42
⇒ 3y = 30
⇒ y = 10
Hence, the correct option is D.
Find the volume of the cone.
Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth.
Answer:37.68
Step-by-step explanation:
Do yk the anwser to my question?
The image of a parabolic lens is projected onto a graph. The image crosses the x-axis at –2 and 3. The point (–1, 2) is also on the parabola. Which equation can be used to model the image of the lens?
y = (x – 2)(x + 3)
y = (x – 2)(x + 3)
y = (x + 2)(x – 3)
y = (x + 2)(x – 3)
Answer:
[tex]y =-\frac{1}{2}(x +2)(x - 3)[/tex]
Step-by-step explanation:
Given
[tex]x_1 = -2[/tex]
[tex]x_2 = 3[/tex]
[tex](x,y) = (-1,2)[/tex] --- a point on the parabola
Required
The equation
First, calculate the equation from the zeros
[tex]y =k(x - x_1)(x - x_2)[/tex]
Substitute [tex]x_1 = -2[/tex] and [tex]x_2 = 3[/tex]
[tex]y =k(x - -2)(x - 3)[/tex]
[tex]y =k(x +2)(x - 3)[/tex]
To solve for k, we substitute [tex](x,y) = (-1,2)[/tex]
[tex]2 = k(-1+2)(-1-3)[/tex]
[tex]2 = k(1)(-4)[/tex]
[tex]2 = -4k[/tex]
Divide by -4
[tex]k=\frac{2}{-4}[/tex]
[tex]k=-\frac{1}{2}[/tex]
So, the equation is:
[tex]y =k(x +2)(x - 3)[/tex]
[tex]y =-\frac{1}{2}(x +2)(x - 3)[/tex]
Answer:
C
Step-by-step explanation:
PLEASE I NEED THE ANSWER DON'T IGNORE MY QUESTION!!! Solve for X for the following
Answer:
Fig. 1 :- 7.6
Fig. 2 :- 15
Step-by-step explanation:
We can use Pythagoras theorem to solve for x
[tex]c^{2} =a^{2} +b^{2}[/tex]
Figure 1:
[tex]c^{2} =7^{2} +3^{2}[/tex]
[tex]c^{2} =49+9[/tex]
[tex]c^{2} =58[/tex]
[tex]c=\sqrt{58}[/tex]
[tex]c=7.615773106[/tex]
You can now round your answer:
[tex]c=7.6[/tex]
Figure 2:
[tex]c^{2} =12^{2} +9^{2}[/tex]
[tex]c^{2} =144+81[/tex]
[tex]c^{2} =225[/tex]
[tex]c=\sqrt{225}[/tex]
[tex]c=15[/tex]
I hope this helps :)
Step-by-step explanation:
fig(1)
h=x
p=3
b=7
now,
h^2=p^2+b^2. (by Pythagoras theory)
or, x^2=3^2+7^2
or, x^2=9+49
or, x^2=58
or, x=√58
fig(2)
h=x
p=12
b=9
now,
h^2=p^2+b^2
or, x^2=12^2+9^2
or, x^2=144+81
or, x^2=225
or, x=15
Anyone.....................
Answer:
[tex] \frac{1}{p - q} [/tex]Step-by-step explanation:
[tex] \frac{ {p}^{2} + 2pq + q}{ {p}^{3} - p {q}^{2} + {p}^{2} q - {q}^{3} } [/tex][tex] \frac{ {p}^{2} +2 \times p \times q+ {q}^{2} }{p^2−pq^2+p^2q−q^3} [/tex][tex] \frac{(p + q {)}^{2} }{p^3−pq^2+p^2q−q^3} [/tex][tex] \frac{( p+ q {)}^{2} }{p(p^2−1q^2)+q(p^2−q^2)} [/tex][tex] \frac{ (p + q {)}^{2} }{ {p}^{3} - p {q}^{2} + {p}^{2} q - {q}^{3} } [/tex][tex] \frac{(p+q {)}^{2} }{(p+q)(p−q)(p+q)} [/tex][tex] \frac{(p + q {)}^{2} }{(p + q {)}^{2}(p - q) } [/tex] ( cancel common factors)
[tex] \frac{1}{p - q} [/tex]Hope it is helpful...Angel went to the store to buy some chicken. The price per pound of the chicken is $4 per pound and he has a coupon for $2.75 off the final amount. With the coupon, how much would Angel have to pay to buy 2 pounds of chicken? Also, write an expression for the cost to buy p pounds of chicken, assuming at least one pound is purchased.
Answer:
$5.25 for 2lbs
Step-by-step explanation:
C=total cost
C=4p-2.75
---
C=4(2)-2.75
C=$5.25
Answer:
$5.25 the expression is $4p-2.75
The motion of the ball from the time it was thrown upwards was modeled closely by the function,h(t)=-16t2+128t+144, where h(t) represents the height of the ball in feet after t seconds. After how many seconds did the ball reach the ground?
please I need help
Answer:
9 seconds
Step-by-step explanation:
When the ball reaches the ground, the height, h(t), is 0. Might as well make the numbers easier to work with - since for the x-intercepts (t-intercepts), h(t) = 0, you can divide the entire equation by the greatest common factor, in this case -16, to make things better:
[tex]0=-16t^2+128t+144\\0=t^2-8t-9[/tex]
Now you can solve this any way you like, such as by using:
[tex]\frac{-b \± \sqrt{b^2-4ac}}{2a}\\[/tex]
This is an easy polynomial though, and you may be able to factor it just by eyeballing it:
[tex]0=t^2-8t-9\\0=(t-9)(t+1)\\t=9,-1[/tex]
You can't have negative time, so we reject -1, leaving only 9 as the answer.
the graphs of f(x) =-2x and g(x)=(1/2)^z are shown
Answer:
f(x)-3x+5 and g(x)=4+5 is it true ?Step-by-step explanation:
Duncan is putting icing on the top of a rectangular cake if the top of the cake is 6 inches wide by 10 inches long what is the area of the top of the cake
A. 80 square inches
B.60 square inches
C.30 square inches
D. 120 square inches
Duncan is putting icing on the top of a rectangular cake if the top of the cake is 6 inches wide by 10 inches long what is the area of the top of the cake
A. 80 square inches
B.60 square inches
C.30 square inches
D. 120 square inches
Answer:
B- 60 square inches
two hundred minus the number two
Answer:
200-2 = 198
Step-by-step explanation:
If you have 200 apples and you eat two you have 198 apples
Find the value of x.
Answer:
65
Step-by-step explanation:
65+50=115
180-115=65
what is a kite? what are its properties? what is its use in our daily life?
Answer:
Well, in geometry, the properties would be that the angles produced by the intersection of the diagonals are right angles. A kite is basically entertainment, made by cloth and string
A kite is a four sided shape. Like an elongated rectangle.a kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other. In contrast, a parallelogram also has two pairs of equal-length sides, but they are opposite to each other instead of being adjacent. Kite quadrilaterals are named for the wind-blown, flying kites, which often have this shape and which are in turn named for a bird. Kites are also known as deltoids, but the word "deltoid" may also refer to a deltoid curve, an unrelated geometric object.Kites have been used for human flight, military applications, science and meteorology, photography, lifting radio antennas, generating power, aerodynamics experiments, and much more.
Middle School teaches 6th, 7th, and 8th grade classes. The sixth grade has 318 students, the 7th has 286 students, and the 8th has 306 students. If the sixth grade takes a field trip and each student needs $3.50, how much total money is needed by the students? $910 c. $1113 b. $3185 d. $1071
Answer:
$3185
Step-by-step explanation:
Multiply the number of grade 6 students by the money needed ($3.50) and you get 318x3.50=1113
Multiply the number of grade 7 students by the money needed ($3.50) and you get 286x3.50=1001
Multiply the number of grade 8 students by the money needed ($3.50) and you get 306x3.50=1071
Add all the total amounts together and you get $3185
Solve for x in the triangle round your answer to the nearest tenth
PLZ HELP ASAP I WILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
Answer:
x = 9.32
Step-by-step explanation:
For a right angles triangles , we can use trigonometry equations :-
In this case , we need to use sine equation in perpendicular :
sin θ = opposite side / hypotenuse
sin 58° = x / 11
x = sin 58 ° × 11
x = 0.84 × 11
x = 9.32852906
Round nearest tenth = 9.32
A plumbing bill was $200. This included $50 for parts and $25 per hour for labor. Find the number of hours of labor.
Answer:
6 hours
Step-by-step explanation:
Answer:
6 hrs. of labor
Step-by-step explanation:
200-50= 150
150/25= 6
Consider the graph of the function f(x)=2x.
Which statement describes a key feature of
function g if g(x) = 2f(x)? Answers:
A. y-intercept at (0,2)
B. y-intercept at (2,0)
C. horizontal asymptote of y = -2
D. horizontal asymptote of y = 2
Given:
The parent function is:
[tex]f(x)=2^x[/tex]
The other function is:
[tex]g(x)=2f(x)[/tex]
To find:
The statement that describes a key feature of function g.
Solution:
We have,
[tex]f(x)=2^x[/tex]
[tex]g(x)=2f(x)[/tex]
Using these two functions, we get
[tex]g(x)=2(2)^x[/tex]
Putting [tex]x=0[/tex], we get
[tex]g(x)=2(2)^{(0)}[/tex]
[tex]g(x)=2(1)[/tex]
[tex]g(x)=2[/tex]
The y-intercept of the function g at (0,2). So, option A is correct and option B is incorrect.
We know that [tex]g(x)\to 0[/tex] as [tex]x\to -\infty[/tex] and it will never intersect the line [tex]y=0[/tex]. It means the horizontal asymptote of the function g is
Therefore, the correct option is A.
Answer:
A
Step-by-step explanation:
