Answer:
x = 3
Step-by-step explanation:
The steps I show will be listed from first-to-last.
-1/3x + 5 = -4 (Distribute)
-1/3x = -9 (Subtract 5 from both sides)
x = 3 (Multiply both sides by -3)
Cape Corp. Will pay a dividend of $4.40 next year. The company has stated that it will maintain a constant growth rate of 5 percent a year forever. a. If you want a return of 17 percent, how much will you pay for the stock? (Do not round intermediate calculations and round your answer to 2 decimal places, e.G., 32.16.) b. If you want a return of 10 percent, how much will you pay for the stock? (Do not round intermediate calculations and round your answer to 2 decimal places, e.G., 32.16.)
Answer:
Step-by-step explanation:
a. If you want a return of 17 percent, how much will you pay for the stock?
The price of the stock can be calculated as:
= dividend next year/(required return - growth rate)
= 4.4/(17% - 5%)
= 4.4/12%
= 4.4/0.12
= 36.67
b. If you want a return of 10 percent, how much will you pay for the stock?
At 10%
= 4.4/(10% - 5%)
= 4.4/5%
= 4.4/0.05
= 88
Find the value of a and b
Answer:
a=58
b=95
Step-by-step explanation:
Patty ran 3 miles in 290 minutes,
Assume Patty maintains a constant
speed. How many minutes will it take
Patty to run 1 mile?
96.666..., or about 97 minutes/every mile.
I WILL GIVE 30 POINTS PLEASE Sinorice put $7.200 in a savings account that pays 3.295 interest compounded annually.
After 3 years, he deposited another $5.000 in the account. What is the value of the account
after 8 years?
A $14 98240
B $15.116.25
C $15.596.30
D $16.073.60
Select all polynomials that are divisible by (x-1)(x−1)left parenthesis, x, minus, 1, right parenthesis. Choose all answers that apply: Choose all answers that apply: (Choice A) A A(x)=3x^3+2x^2-xA(x)=3x 3 +2x 2 −xA, left parenthesis, x, right parenthesis, equals, 3, x, cubed, plus, 2, x, squared, minus, x (Choice B) B B(x)=5x^3-4x^2-xB(x)=5x 3 −4x 2 −xB, left parenthesis, x, right parenthesis, equals, 5, x, cubed, minus, 4, x, squared, minus, x (Choice C) C C(x)=2x^3-3x^2+2x-1C(x)=2x 3 −3x 2 +2x−1C, left parenthesis, x, right parenthesis, equals, 2, x, cubed, minus, 3, x, squared, plus, 2, x, minus, 1 (Choice D) D D(x)=x^3+2x^2+3x+2D(x)=x 3 +2x 2 +3x+2
Answer:
Step-by-step explanation:
For us to be able to determine the polynomials that are divisible by (x-1), this means that x-1 must be a factor for the functon to be able to divide any of the polynimial.
Since x-1 is a factor, we can get the value of x
x-1 = 0
x =0+1
x = 1
Next is for to substitute x - 1 into the polynomial and see the ones that will give us zero
For A(x)=3x^3+2x^2-x
A(1) = 3(1)^3+2(1)^2-(1)
A(1) = 3+2-(1)
A(1) = 5-1
A(1) = 4
Since A(1) ≠ 0, then x-1 is not divisible by the polynomial function.
For B(x)=5x^3-4x^2-x
B(1)=5(1)^3-4(1)^2-1
B(1)=5-4-1
B(1)=1-1 = 0
Since B(1) = 0, hence x-1 is divisible by 5x^3-4x^2-x
For the polynomial C(x)= 2x^3-3x^2+2x-1
C(1)=2(1)^3-3(1)^2+2(1)-1
C(1)=2-3+2-1
C(1)= -1+1
C(1)= 0
Since C(1) = 0, hence x-1 is divisible by the
For the polynomial D(x)=x^3+2x^2+3x+2
D(1)=1^3+2(1)^2+3(1)+2
D(1)=1+2+3+2
D(x) = 8
Hence the polynomial D(x) is not divisible by x-1
Hence the correct options are B(x)=5x^3-4x^2-x and 2x^3-3x^2+2x-1
Answer:
B(x) and C(x)
Step-by-step explanation:
Anyone help me out plz show work I need it now anyone!!
Answer:
3x2 - x + 10 when x=-4 plug in -4 for x 3(-4)^2 -(-4)+10
3(16)+4+10
3x16= 48
48+4+10= 62
Suzie's work is incorrect because of her negative distributions
Step-by-step explanation:
The Campbells went out to dinner at Chilli's. They spend $64.00 and want to leave a 20% tip. How much did they tip their server?
Answer:
12.8$
Step-by-step explanation:
20% is equal to 0.2. You multiply 64 by 0.2. I hope this helps.
The measure of one angle of a linear pair is 80°. If the
measure of the other angle is 4x°, what is x?
4r – 4s+ 4 = - 4
4r + s - 2t=5
- 3r - 3s - 41= -16
Help please
Answer:
r=-2.00000
s=2.00000
Rebecca went swimming yesterday. After a while she had covered one fifth of her intended distance. After swimming six more lengths of the pool, she had covered one quarter of her intended distance. How many lengths of the pool did she intend to complete?
Answer:
E. 120
Step-by-step explanation:
A. 40
B. 72
C. 80
D. 100
E. 120
Let
x = the intended distance
y = length of the pool
She covers one fifth of her intended distance
Distance covered = 1/5 of x
= x/5
After swimming six more lengths of the pool she had covered one quarter of her intended distance
x/5 + 6y = 1/4 of x
x/5 + 6y = x/4
Collect like terms
6y = x/4 - x/5
6y = 5x - 4x/20
6y = x/20
x = 20 * 6y
= 120y
x = 120y
The intended distance Rebecca wants to cover = 120
Mrs. Sing invest $12,876 for her business at an annual interest rate of 7 percent for 3 years. Which number will mrs. sing substitute for r in the simple interest formula?
Answer:
The number that she will substitute is 7
Step-by-step explanation:
Mathematically, simple interest can be calculated using the formula ;
S.I = PRT/100
where P is the principal which is the amount invested = $12,876
T is the time which is 3 years
and R is the rate which is 7%
Answer:
Answer:
The number that she will substitute is 7
Step-by-step explanation:
i just took he test
HELP PLEASE
Given the exponential function f(x) = 16(0.75)x, classify the function as exponential growth or decay and determine the percent rate of growth or decay.
Exponential growth, 75% increase
Exponential decay, 75% decrease
Exponential growth, 25% increase
Exponential decay, 25% decrease
I need help with this please
lx+ 11 l< 17
Answer:
x<6 should be the correct answer
HELPPPPP
Area between two points
You might need: Calculator, Z table
A set of mathematics exam scores are normally distributed with a mean of 80.2 points and a standard deviation
of 4 points.
What proportion of exam scores are bęween 82 and 85.6 points?
You may round your answer to four decimal places,
Show Calculator
Stuck? Watch a video or use a hint.
Report a problem
Answer:
0.2379
Step-by-step explanation:
Answer:
0.2379
Step-by-step explanation:
Khan
5. A car travels at a speed of 72 miles per hour. Write a direct variation equation for the distance, y, the car will travel in x hours. How far will the car travels in 4.5 hours?
Answer:
y = 72x
324miles
Step-by-step explanation:
Given parameters:
Speed of the car = 72miles/hr
distance = y
time = xhrs
Unknown:
Write a direct variation equation for the distance= ?
Distance covered in 4.5hrs =?
Solution:
A. Write a direct variation equation for the distance;
A direct variation is a linear equation.
It often takes the form y = kx
For this problem;
Distance = speed x time
input the parameters;
y = 72x
The direct variation equation is y = 72x
B. Distance traveled in 4.5hrs
y = 72x
x is the time taken;
So;
y = 72 x 4.5 = 324miles
What is the equation of the line that is parallel to the line y = 2x + 6 and goes through point C (8, 1)?
Answer:
y=2x-15
Step-by-step explanation:
In parallel lines the gradient is always the same. then we sub the coordinates in to find c.
so
1=2(8)+c
c equals to -15 t
then
y=2x-15
help me plaseeeeeeeeee
Answer:
it would be b
Step-by-step explanation:
Point Q' is the image of (-5,1) under a translation by 6 units to the right and 2 units down
Answer:
The object coordinate Q is (-11,3 )
Step-by-step explanation:
The translation is given as : ( 6,-2 )
The image coordinates for Q' is ( -5,1 )
So, to get the coordinates of object point Q (x,y), will be;
Q (x,y) + ( 6,-2 )---translation --------------⇒image Q' ( -5,1 )
Thus,
x+6 = -5
x= -5-6= -11
and
y+ -2 = 1
y-2=1
y=1+2 =3
Thus the object point coordinates Q is (-11,3 )
Victor is making recipes for smoothies. His first recipe calls for 2 cups of strawberries and 7 cups of other ingredients. His second recipe says that 3 cups of strawberries are combined with 9 cups of other ingredients. Which smoothie recipe has more strawberries compared to other ingredients?
Answer:
The second smoothie recipe has more strawberries compared to other ingredients
Step-by-step explanation:
Recipe 1:
2 cups of strawberries : 7 cups of other ingredients
= 2/7
= 0.29
Recipe 2:
3 cups of strawberries : 9 cups of other ingredients.
= 3/9
= 1/3
= 0.33
The second smoothie recipe has more strawberries compared to other ingredients
X=square root of y + 1 / y_ 2
Make y the subject.
Can you please solve it..
Answer:
I think is c
Step-by-step explanation:
Round the factors and estimate the products.
a.
656 x 106 -
น
b. 3,108 x 7,942 -
C.
425 x 9,311 -
what is this i wanna drop out
Answer:
a. 70,000
b. 24,000,000
c. 3,600,000
Step-by-step explanation:
You round all the numbers and multiply the rounded numbers.
So...
a. 656 = 700
106 = 100
7000*100= 70,000
b. 3108 = 3000
7942 = 8000
3000*8000= 24,000,000
c. 425 = 400
9311 = 9000
400*9000= 3,600,000
HELPP!!!
Question 8 of 19
What is an equation that can be used to solve the proportion?
8/15 = x/6
A. 90x = 8
B. 15x = 48
C. 48x = 15
O D. 8x = 90
8/15 = x/6
Using cross multiplication let us find the value of x .
= 15 × x = 6 × 8
= 15x = 48= x = 48 ÷ 15 ( transposing ×15 from LHS to RHS changes ×15 to ÷+5 )
= x = 3.2
Therefore , the equation that can be used to solve the proportion :-
B. 15x = 48Answer:
its B
Step-by-step explanation:
What is 1.7x=? When x=5
Answer:
8.5
Step-by-step explanation:
1.7*5=8.5
Answer:
Step-by-step explanation:
a = answer
1.7x = a
1.7(5) = a
8.5 = a
The length of the rectangle is four times it’s width. The rectangle has an area of 1024cm2. What is the width of the rectangle
Answer:
Length = 4 times width
Area = length * width
=(4w)w
=4w²
So 4w²=1024 cm² (given)
w²=1024/4=256
w=√(256 cm²)
=16 cm (reject negative value of square-root)
Step-by-step explanation:
Hope this helps you
Crown me as brainliest:)
Mason has already run 7 miles on his own, and he expects to run 1 mile during each track
practice. How many track practices would it take for Mason to run 26 miles?
Answer:
it would take him 19 track practices
Step-by-step explanation:
26miles - 7miles= 19miles
What is 4 divided by 3/5
Answer:
20/3 or 6 2/3
Step-by-step explanation: 4/1 times 5/3 multiply and you get 20/3
Answer:
6 2/3
Step-by-step explanation:
50+ POINTS I NEED HELP
Answer:
21 yard line
Step-by-step explanation:
Ok we start out on the 20 yard line, we need to add the yards together.
We add the 6 to the 20:
20+6=26
Then we subtract the 8 yards from our new 26:
26-8=18
Then we add the 18 by 3:
18+3=21
Therefore,
The Answer is 21 Yard Line.
Hope I could help, If you need some more assistance ask me!
Answer:
2 yard
Step-by-step explanation:
hola soy dora
A granola bite contains 27 calories. Most of the calories come from grams of carbohydrates. The rest come from other ingredients. One gram of carbohydrate contains 4 calories.The equation represents the relationship between these quantities. List the facts. * 4c + 5 = 27
Step-by-step explanation:
Given the expression that modeled the relationship between these quantities (calories from grams of carbohydrate and the rest of the ingredients) as
4c+5 = 27
From the equation, the constant value of 5 represents the calories in grams of the rest of the ingredients present in the bite.
Let us calculate the value of c from the equation
4c+5 = 27
4c + 5- 5 = 27-5
4c = 22
c = 22/4
c = 5.5
This means that the total calories of carbohydrate the granola bite contains is 4(5.5) i.e 21 calories of carbohydrate
Note that 8 cannot be the solution to the equation because for us to eliminate 5 from both sides of the equation, we need to subtract it from both sides not add. If 5 was added to both sides, the value of c would have been (32/4 i.e 8) which would have been wrong.
The value of -4 - x is positive. What must be true about x ?
i need help with this asap
Answer:
x must be less than -4Step-by-step explanation:
We need to set the equation equal to 0
-4 - x > 0
+ -4 + -4
x < - 4i just need some help on a few math questions. i'm very bad at math sorry :(
Answer:
Q1) D
Q2) A
Q3) A
Q4) I'm sorry I can't figure this one out
Q5)2.7
Step-by-step explanation: