The amount will Arundel need to pay preferred shareholders in 2021 if they wish to pay a dividend to common shareholders is 84,000
Using this formula
2021 preferred shareholders(per year)=Per dividend * Dividend rate
Let plug in the formula
2021 preferred shareholders(per year)=[(7,000*$100)*6%]
2021 preferred shareholders(per year)=($700,000*6%)*2
2021 preferred shareholders(per year)=42,000*2
2021 preferred shareholders(per year)=84,000
Inconclusion The amount will Arundel need to pay preferred shareholders in 2021 if they wish to pay a dividend to common shareholders is 84,000
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Please please help me
Find the total surface area.
A. 131.7 mi²
B. 143.4 mi²
C. 198.6 mi²
D. 99.5 mi²
Answer:
B. 143.4 [tex]\text{mi} ^2[/tex]
Step-by-step explanation:
In simple terms, surface area = adding area of all surfaces
This figure has 6 sides.
Surface area = 2 * area of trapezium + 2* area rectangle + area of bottom rectangle + area top rectangle
Surface area = 2 * ([tex](\frac{a+b}{2}) * h + 2* (l*w) + l*w + l*w[/tex])
= [tex]2 * (\frac{3+6}{2} * 2.6) + 2* (8*3) + 3*8 + 8*6[/tex]
= [tex]2 * 11.7 + 2* 24 + 24 + 48[/tex]
= 143.4 [tex]\text{mi}^{2}[/tex]
Let me know if you need further explanation
Simplify the following expression and show your work in details please .
Answer:
-2
Step-by-step explanation:
First you distribute:
= 6t + (3) (1) + (3) (-2t) + -5
= 6t + 3 + -6t - 5
Then combine like terms
(6t + -6t) + 3 + -5)
= -2
Find the area of a circle with a diameter of 10 feet
Answer:
31.43ft
Step-by-step explanation:
πd=22/7×10ft
=31.43ft
Answer:
78.5 sq feet
Step-by-step explanation:
Diameter = 10 feet
Radius = 5 feet
Area of circle=πr²
= π(5)²
= 25π
= 25 x 3.14
= 78.5 sq feet
rob has 31 pounds of chocolates he divides it into 5 equal portions .how much does each portion weigh?
a. 31 ib
b. 5 ib
c. 18 ib
b. 9 ib
what is the focus of x2 - 6x + 8y = -9
Answer:
(3, -2)
Step-by-step explanation:
In order to find the focus of a parabola, you must know that the equation of a parabola in a vertex form is y=a(x−h)2+k where a represents the slope of the equation. From the formula, we can see that the coordinates for the focus of the parabola is (h, k+1/4a).
Yossi used to have a square garage with 354 ft² of floor space. He recently built an addition to it. The garage is still a square, but now it has 50% more floor space. What was the length of one side of the garage originally? What is the length of one side of the garage now? What was the percent increase in the length of one side?
Model the situation.
The sum of two consecutive integers is 85. Find the integers that satisfy this condition.
Answer choices
A) 1 + 2 = 85
B) x+(x+1)=85
C) x+x=85
D) x+2x=85
Answer:
Option B is correct
Step-by-step explanation:
Let the number be x
Second number = x + 1
Sum = 85
x + x + 1 = 85
2x + 1 = 85
2x = 85 - 1
2x = 84
x = 84/2 = 42
Numbers are 42 and 43
Answer:
B) x+(x+1)=85
Step-by-step explanation:
Consecutive means in a row
Let x be the first integer
x+1 is the next integer
x+x+1 = 85
Simpson Office Furniture pays Betty Thomas a $2740 monthly salary plus a 11% commission on merchandise she sells each month. Assume Betty's sales were $94100 for last month. Calculate the following amounts: a. Amount of Commission: b. Gross Pay:
Answer:
a. 11/100* 94100 =$10,351
b.10,351+ 2740= $13,091
Please help ASAP!!!!
Answer:
x = y - 8
Step-by-step explanation:
To solve for x just subtract 8 from both sides to isolate x.
Which expression is equivalent to a + a"?
O amin
aman
amin
third option:- a^m-n
your welcome.
Suppose a right triangle has a
hypotenuse length of 12. If one of
the legs has length 5, what would
the length of the last leg be?
Answer:
See the last two lines below. I don't know which one you want.
Step-by-step explanation:
hypotenuse = 12
One leg = 5
other leg = x Substitute into a^2 + b^2 = c^2
x ^2 + 5^2 = 12^2
x^2 + 25 = 144 Subtract 25 from both sides
x^2 = 144 - 25 Combine
x^2 = 119 Take the square root of both sides
x = sqrt(119)
x = 10.91
Sorry for small handwriting
Step-by-step explanation:
4 is added to each number
A/q ,
5x+4/6x+4 = 7/8
Now , cross multiply
7/6x + 4) = 8 (5x + 4 )
42x + 28 = 40x + 32
42x - 40x = 32 - 28
2x = 4
x= 4/2
x= 2
answer :
5x = 10
6x = 12
Step-by-step explanation:
hope it helps.u........
How much cat food do all of the cats eat in one day?
Plss help me! Brainlist! Pls!!! I’m so confused!!!!
Evaluate the function and simplify.
f(x)=6x^2 -1/x^2
f(-x)=?
Step-by-step explanation:
f(-xl= 6(-x)^2 - 1/(-x)^2
=6x^2- 1/x^2
f(x)= f(-x)
It is an even function
Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.
Mrs. Henson's grandchildren are participating in a gift wrap sale to raise money for their school. She decided to stock up, so she ordered 1 roll of reversible paper and 3 rolls of metallic paper from Peter, spending a total of $43. She also ordered 4 rolls of reversible paper and 4 rolls of metallic paper from Ron, which cost a total of $100. Assuming that rolls of each type are priced the same, what is the price for each kind of paper?
Rolls of reversible paper cost $____ each, and rolls of metallic paper cost $___ each.
Help Me please teacher gunna kill me
yes what is Ford the priblem
2 fnd the circumference of a circle in which diametey 42cm.
Answer:
132cm
Step-by-step explanation:
circumference = [tex]\pi \\[/tex]d = [tex]\pi[/tex](42) = 131.9468 ≈ 132
help me solve this problem
Step-by-step explanation:
i don't get the question
What’s the integer for 8 mph above the speed limit
The integer that describes 8 mph above the speed limit is +8
The given parameter:
8 miles per hour (mph) above the speed limit
To find:
the integer above the speed limitThe given expression contains integer that describes the magnitude of the expression and S.I unit that describes the dimension of the quantity.
miles per hour = unit of the quantity8 is the integer+8 is the integer above the speed limitNote: integers are whole numbers
Thus, the integer that describes 8 mph above the speed limit is +8
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Islamic Question That I Need Asap:
Enumerate The Recommendations Of Prophet Muhammad (PBUH) From The Hadeeth Below
“O boy! I will instruct you in some matters. Be mindful of Allah, and He will protect you. Be mindful of Allah, and He will be ever with you. If you beg, beg of Him alone; and if you need assistance, supplicate to Allah alone for help. And remember that if all the people gather to benefit you, they will not be able to benefit you except that which Allah had foreordained for you; and if all of them gather to harm you, they will not be able to afflict you with anything other than that which Allah had predestined against you. The pens had been lifted and the ink had dried up.
Answer:
[tex]thank \: you[/tex]
pls help
write the sentence as an equation
14 is 248 fewer than Q
Answer:
Step-by-step explanation:
14<Q-248
Answer:
14=Q-248
Step-by-step explanation:
(2.5*10^3)*3.4*10^2 (in scientific notation)
Answer:
8.5×10⁵Step-by-step explanation:
2.5×10³ × 3.4×10² = (2.5×3.4) × 10³⁺² = 8.5×10⁵[tex]\\ \rm\longmapsto 2.5\times 10^3\times 3.4\times 10^2[/tex]
[tex]\boxed{\sf a^m\times a^n=a^{m+n}}[/tex]
[tex]\\ \rm\longmapsto 2.5\times 3.4\times 10^3\times 10^2[/tex]
[tex]\\ \rm\longmapsto 8.5\times 10^{3+2}[/tex]
[tex]\\ \rm\longmapsto 8.5\times 10^5[/tex]
What is the answer to this question?
The guitar's volume was amplified, but it was hard to hear the notes since it was so loud.
What word or phrase is a signal word that a context clue might be nearby to help determine the meaning of "amplified"?
Step-by-step explanation:
Which is a point on the circle whose center is (0,0) and whose radius is 5? A. (0,0)
B. (4,5)
C. (3, 4)
D. (2,3)
Answer:
(3,4)
Step-by-step explanation:
x^2+y^2=(5)^2
if you graph it you will see that (3,4) is on the circle
I need help with this question
My cousin needs help with this please help thanks
Answer:
A. [tex] \cos \: x - 4 \: \cos \: x \: { \sin}^{2}x[/tex] (first option)
Step-by-step explanation:
➡️ [tex] \cos(x + 2x) [/tex]
➡️ [tex] \cos \: x \: { \cos}^{2} x - \sin \: x \: { \sin }^{2} x[/tex]
➡️ [tex] \cos \: x(1 - 2 \sin^{2}x) - \sin \: x \times 2 \sin(x) \cos(x) [/tex]
➡️ [tex] \cos(x) - 2 \sin^{2} x \cos(x) - 2 \sin^{2} x \cos(x) [/tex]
➡️ [tex] \cos(x) - 4 \cos(x) \sin^{2} x[/tex]
f (-18) = ?
Evaluate piecewise functions
Answer:
f(-18) = -8Step-by-step explanation:
When x = -18, it corresponds to the first piece:
f(x) = (x - 6)/3f(-18) = (-18 - 6)/3 = -24/3 = -8x=-18 there is a expression present
f(-18)
(-18-6)/3(-24)/3-8The odometer on your car read 53,305 at this time last year. It now reads 79,964. Estimate the number of miles your car has been driven during the past year. (Estimate to the nearest thousand miles.)
Answer:
26659
Step-by-step explanation:
subtracting the recent meter and the last time meter
create 5 problems using all operations that has a solution of 5
Answer:
((5*5) + (10-5) * (50/100)) ÷ 3 = 5
((4*4)+(17-8 *(1.378/2)) ÷ 3.445 = 5
Step-by-step explanation:
Reduce to simplest form.
-1/4-(-3/5)=