A debt of $9000 is to be amortized with 4 equal semiannual payments. If the interest rate is 7%, compounded semiannually, what is the size of each payment?
Answer:
Instalment = Loan / PVAF (r%, n)
Where r is int rate per six months & n is no. of half years
= $ 9000 / PVAF (5% , 4)
= $ 9000/ 3.5460
= $ 2538.11
Pls comment, if any further assistance is required.
Step-by-step explanation:
how are they the same
Answer:
Step-by-step explanation:
The ways that they are the same are.
The slope is the same.Since the slope is the same for both of them, there is no possible solution meant for both of them. The slope is 1/4They are both written in slope y intercept form.The only difference is the y intercept is different. y intercept for y = 1/4 x is 0,0y intercept for y = 1/4 x is 0,5COLOR THEME
Q ZOOM
7. The dimensions in the drawing below are given in units.
3V10
х
36
Р
118
S
R
90
18V5
What is the value of x?
45
CLEAR ALL
Given:
In triangle PQR, QS⊥PR, QS=x, PR=90 and RS=18.
To find:
The value of x.
Solution:
According to right triangle altitude theorem (geometric mean theorem), if an altitude of a right triangle divides the base into two segments then the square of altitude is equal to the product segments of the base.
Using right triangle altitude theorem, we get
[tex]\dfrac{QS}{PS}=\dfrac{RS}{QS}[/tex]
[tex]QS^2=RS\times PS[/tex]
[tex]x^2=18\times (90-18)[/tex]
[tex]x^2=18\times 72[/tex]
[tex]x^2=1296[/tex]
Taking square root on both sides, we get
[tex]x=\sqrt{1296}[/tex]
[tex]x=36[/tex]
Therefore, the correct option is B.
Can someone help me solve this
all the cubes root of
[tex] \sqrt{3 + i} [/tex]
If you're looking for the cube roots of √(3 + i ), you first have to decide what you mean by the square root √(…), since 3 + i is complex and therefore √(3 + i ) is multi-valued. There are 2 choices, but I'll stick with 1 of them.
First write 3 + i in polar form:
3 + i = √(3² + 1²) exp(i arctan(1/3)) = √10 exp(i arctan(1/3))
Then the 2 possible square roots are
• √(3 + i ) = ∜10 exp(i arctan(1/3)/2)
• √(3 + i ) = ∜10 exp(i (arctan(1/3)/2 + π))
and I'll take the one with the smaller argument,
√(3 + i ) = ∜10 exp(i arctan(1/3)/2)
Then the 3 cube roots of √(3 + i ) are
• ∛(√(3 + i )) = ¹²√10 exp(i arctan(1/3)/6)
• ∛(√(3 + i )) = ¹²√10 exp(i (arctan(1/3)/6 + π/3))
• ∛(√(3 + i )) = ¹²√10 exp(i (arctan(1/3)/6 + 2π/3))
On the off-chance you meant to ask about the cube roots of 3 + i, and not √(3 + i ), then these would be
• ∛(3 + i ) = ⁶√10 exp(i arctan(1/3)/3)
• ∛(3 + i ) = ⁶√10 exp(i (arctan(1/3)/3 + 2π/3))
• ∛(3 + i ) = ⁶√10 exp(i (arctan(1/3)/6 + 4π/3))
Which point on the x-axis lies on the line that passes point C and is parallel to line AB
Answer:
(2,0)
Step-by-step explanation:
Suppose we are interested in bidding on a piece of land and we know one other bidder isinterested. The seller announced that the highest bid in excess of $10,000 will be accepted.Assume that the competitor’s bid x is a random variable that is uniformly distributedbetween $10,000 and $15,000.a. Suppose you bid $12,000. What is the probability that your bid will be accepted?b. Suppose you bid $14,000. What is the probability that your bid will be accepted?c. What amount should you bid to maximize the probability that you get theproperty?d. Suppose you know someone who is willing to pay you $16,000 for the property. Wouldyou consider bidding less than the amount in part (c)? Why or why not?
Answer:
a. 0.4 = 40% probability that your bid will be accepted
b. 0.8 = 80% probability that your bid will be accepted.
c. $15,000.
d. Bidding $15,000 guarantees you a profit of $1,000, while trying to bid less than $15,000, you can end up without a profit, thus, you should not consider bidding less than the amount in part (c).
Step-by-step explanation:
Uniform probability distribution:
An uniform distribution has two bounds, a and b.
The probability of finding a value of at lower than x is:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
Assume that the competitor’s bid x is a random variable that is uniformly distributed between $10,000 and $15,000.
This means that [tex]a = 10, b = 15[/tex], considering the measures in thousands of dollars.
a. Suppose you bid $12,000. What is the probability that your bid will be accepted?
Probability that the other bidder's bid is less than 12000(X < 12). So
[tex]P(X < 12) = \frac{12 - 10}{15 - 10} = \frac{2}{5} = 0.4[/tex]
0.4 = 40% probability that your bid will be accepted.
b. Suppose you bid $14,000. What is the probability that your bid will be accepted?
Probability that the other bidder's bid is less than 14000(X < 14). So
[tex]P(X < 14) = \frac{14 - 10}{15 - 10} = \frac{4}{5} = 0.8[/tex]
0.8 = 80% probability that your bid will be accepted.
c. What amount should you bid to maximize the probability that you get the property?
The upper bound of the uniform distribution, that is, $15,000.
d. Suppose you know someone who is willing to pay you $16,000 for the property. Would you consider bidding less than the amount in part (c)? Why or why not?
Bidding $15,000 guarantees you a profit of $1,000, while trying to bid less than $15,000, you can end up without a profit, thus, you should not consider bidding less than the amount in part (c).
(3+8i) (3+8i) multiply
Answer:-55+48i
Step-by-step explanation:
Answer:
Step-by-step explanation:
73
Calculamos el volumen (V) de un prisma cuadrangular expresado en unidades cúbicas. Respondemos: ¿cómo se calcula?........................... entonces, la expresión para calcular el volumen es: V = ……………………
Answer:
a) El procedimiento queda resumido en lo que sigue:
1) Se halla el área de la base del cuadrilátero.
2) Se multiplica el resultado anterior por la longitud del prisma.
b) La expresión para calcular el volumen del prisma ([tex]V[/tex]), en unidades cúbicas, es:
[tex]V = w\cdot h \cdot l[/tex]
Donde:
[tex]w[/tex] - Ancho de la base, en unidades.
[tex]h[/tex] - Altura de la base, en unidades.
[tex]l[/tex] - Longitud del prisma, en unidades.
Step-by-step explanation:
a) Dimensionalmente hablando, la unidad de volumen es igual al cubo de la unidad de longitud. Se explica a continuación los pasos necesarios para el cálculo de prisma cuadrangular:
1) Se halla el área de la base del cuadrilátero.
2) Se multiplica el resultado anterior por la longitud del prisma.
b) En consecuencia, se deriva la expresión para el volumen del prisma:
[tex]V = A\cdot l[/tex] (1)
Donde:
[tex]A[/tex] - Área de la base del prisma, en unidades cuadradas.
[tex]l[/tex] - Longitud del prisma, en unidades.
[tex]V = w\cdot h \cdot l[/tex] (2)
Donde:
[tex]w[/tex] - Ancho de la base, en unidades.
[tex]h[/tex] - Altura de la base, en unidades.
One of these graphs is of a cubic function. Which one is it?
Answer:
D
Step-by-step explanation:
D is the correct answer. It is a cubic function
Answer:
D
Step-by-step explanation:
It is because it is in form f(x) =ax³+cx+d.
Where the coefficients are a, b, c, and d.
The variable 'x' takes real values, and a ≠ 0 in other words.
Given the lease terms below, what is the total price of this car if you buy it
after leasing, and you do not get the security deposit back?
Terms:
• Length of lease: 24 months
• MSRP of the car: $21,400
• Purchase value of the car after lease: $17,100
.
Down payment: $1500
.
Monthly payment: $279
Security deposit: $350
• Acquisition fee: $700
O A. $26,346
B. $29,246
C. $27,100
OD. $20,876
9514 1404 393
Answer:
A. $26,346
Step-by-step explanation:
The cost is the sum of all of the payments made:
cost = down payment +24×monthly payment +deposit +acquisition fee +after-lease price
cost = $1500 +24×279 +350 +700 +17100 = $26,346
The total price of the car if you buy it after leasing is $26,346.
A rectangle is to be inscribed in an isosceles right triangle in such a way that one vertex of the rectangle is the intersection point of the legs of the triangle and the opposite vertex lies on the hypotenuse. Find the largest area (in cm 2 ) of the rectangle and its dimensions (in cm) given that the two equal legs of the triangle have length 4.
Answer:
x = 2 cm
y = 2 cm
A(max) = 4 cm²
Step-by-step explanation: See Annex
The right isosceles triangle has two 45° angles and the right angle.
tan 45° = 1 = x / 4 - y or x = 4 - y y = 4 - x
A(r) = x* y
Area of the rectangle as a function of x
A(x) = x * ( 4 - x ) A(x) = 4*x - x²
Tacking derivatives on both sides of the equation:
A´(x) = 4 - 2*x A´(x) = 0 4 - 2*x = 0
2*x = 4
x = 2 cm
And y = 4 - 2 = 2 cm
The rectangle of maximum area result to be a square of side 2 cm
A(max) = 2*2 = 4 cm²
To find out if A(x) has a maximum in the point x = 2
We get the second derivative
A´´(x) = -2 A´´(x) < 0 then A(x) has a maximum at x = 2
The maximum area of the rectangle inscribe in the right isosceles triangle
is [tex]\rm \bold{4\;cm^2}[/tex]
Given that a rectangle is to be inscribed in an isosceles triangle
As per the attached figure we can write the following
Let ΔABC represents the isosceles triangle from the given data in the question we can write the following observations
Length of AB = 4
Length of BC = 4
∠ACB = 45°
∠BAC = 45°
Length of AC = [tex]\rm 4\sqrt2[/tex]
We have to consider a rectangle within the isosceles triangle such that
area of rectangle is maximum
The area of rectangle is given by equation (1)
[tex]\rm Area \; of \; rectangle = Length \times Breadth ........(1) \\[/tex]
Let the area of rectangle inscribed by the isosceles triangle is " A"
Let the lenght of the rectangle be "x "
Let the width of the rectangle be " y "
So according to equation (1) the area of rectangle inscribed into the triangle is given by
[tex]\rm A = x \times y.......(2)[/tex]
In ΔAED we can write
[tex]\int\limits^a_b {x} \, dx \rm tan 45= \dfrac{Perpendicular}{Base } = \dfrac{4-y}{x} \\1 = \dfrac{4-y}{x} \\ x = 4-y .......(3) \\[/tex]
From equation (2) and (3) we get
[tex]\rm A = (4-y)(y) \\A = 4y -y^2......(4)[/tex]
On differentiating the given function with respect to y we get
[tex]\rm A' = 4- 2y \\[/tex]
On putting A' =0 we get
[tex]\rm 4-2y =0 \\2y = 4\\y = 2[/tex]
A'' is negative hence it is the maximum value of y
So we can conclude that the maximum value of y is 2
So from equation (4) the maximum area is [tex]\rm 2\times 2 = 4\; cm^2[/tex]
The maximum area of the rectangle inscribe in the right isosceles triangle
is [tex]\rm \bold{4\;cm^2}[/tex]
For more information please refer to the link given below
https://brainly.com/question/541676
Which statement is true about the graphed function?
O Fx) < 0 over the interval (-0, 4)
OFx) < 0 over the interval (-0, -3)
O F(x) > 0 over the interval (-00, -3)
O F(x) > 0 over the interval (-0, 4)
Answer:
D is the answer to the question
plz help me .........
Answer:
216 inches
Step-by-step explanation:
72+72+36+36=216
What is the horizontal distance between (−5/3, -2) and (4, -2)?
ANSWER QUICK GIVING BRAIN LEST
Answer:
-2?
Step-by-step explanation:
use y2-y1 over x2-x1 to find the answer. So you would do -2--5/3 over 4--2. The two negitives turn into a positive. SO it is now -2+5/3 over 4+2. -2+5/3= -1/3 over 4+2=6 it is now -1/3/6 which equals -2. So I think the answer is -2. I do not know if you should trust me on this but I tried.
Part A
Will be marked brainliest
Monique’s group will design a float for the I love my city parade. They plan to highlight the city’s train system by making a float of the MetroPass.
*SEE PICTURES FOR ACTUAL MEASURES*
The actual MetroPass is 2.1 inches wide and 3.4 inches long. Moniques group wants the MetroPass float to be 74.8 ft long. Her group needs to find the width of the MetroPass float.
How wide, in feet, will the MetroPass float be? Round you answer to the nearest tenth. Show your work.
*WILL BE MARKED BRAINLIEST*
Answer:
74.8 ft÷3.4 inches=264
2.1 in x 264=46.2 inches so the width should be 46.2 inches
In how many ways can 10 people be seated in 10badjacenr seats in a theater
Bernardo woke up one morning and saw frost on the windows. It was -15°C outside. Later in the day, the frost melted. At 3 p.m. it was 14°C outside. Which expression represents the difference between the two temperatures?
Answer:
something like: 14 - (-15)
Step-by-step explanation:
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!
Answer:
50 %
Step-by-step explanation:
Please mark me as the brainlist
Answer:
answer is 37.5%
Step-by-step explanation:
the only prime numbers after adding are
4+9= 13
4+7=11
3+8=11
place the sum # of prime numbers over the total some of numbers
3÷8= 0.375
now multiply by 100 to give you in percentage
0.375 x 100% = 37.5%
Before simplifying, how many terms are there in the expression -2x+8 -6y + 8x + 11?
5
6
3
4
Answer:
There are 5 terms in the given expression.
A bicycle wheel has a diameter of 26 inches. What is the circumference?
Answer:
81.64 Inches
Step-by-step explanation:
Given :
Diameter of wheel =26 inches
Radius of wheel (r)=26/2=13 inches
Circumference (C) of wheel can be calculated as :
C= 2πr
C=6.28(13)
C=81.64 Inches
help me solve this question its coming in my next math test and i cant solve it!
Answer: sorry I can't help you
Step-by-step explanation: because the picture won't show up.
a) Two thirds of the class are freshman
Is it parameter or statistic
Answer:
parameter
Step-by-step explanation:
Help with quadratic formula
Answer:
The format for any quadratic equation is;
ax² + bx + c
And the quadratic formula is written as;
[tex]\frac{-b+-\sqrt{b^2 -4ac} }{2a}[/tex]
Hope this helps!
[tex]\int\limits^a_b {x}2 \, dx
natally needs to cut a pice of paper so that she has exactly 1/3 of it.if the length of the paper is 11 inches, how long will be the paper if she cuts . help me please
Answer:
3 [tex]\frac{2}{3}[/tex] inches long
Step-by-step explanation:
Find how long the paper will be by dividing 11 by 3. This will find how much 1/3 of the 11 inch paper is.
11/3
= 3 [tex]\frac{2}{3}[/tex]
So, if she cuts the paper, the paper will be 3 [tex]\frac{2}{3}[/tex] inches long
find the value of x and y in the parallelogram
Answer:
x=14
y=40
Step-by-step explanation:
A parallelogram is like a rectangle 2 parallel sides are equal.
so x+3=17 and y-2=38
x+3=17
x=17-3
x=14
y-2=38
y=38+2
y=40
Ali surveyed his classmates to see who liked tennis. In all, 32 males liked tennis, and 6 males did not like tennis; 13 females liked tennis, and 4 females did not like tennis. How many females did Ali survey
Answer:
Ali surveyed 17 females.
Step-by-step explanation:
From Ali's survey:
13 females liked tennis, while 4 did not.
This means that Ali's surveyed 13 + 4 = 17 females.
How many females did Ali survey?
Ali surveyed 17 females.
Which table represents a linear function?
c
2
0
1
2
y
0
-1
4
-9
0
1
2
3
y
3
1
1
-3
2
0
y
0
1
4
9
y
1
3
0
1
2
3
1
--3
2
3
-1
Answer:
Table C is the answer
Step-by-step explanation:
HELP EDCITEE !! PLEASE !!!
Answer:
75.3074525 dgrees
Step-by-step explanation:
law of sines
29/sin(115 degrees) = 13/sin(B)
==> B = 0.418374736 rad
or 75.3074525 dgrees
