Answer:
choice c
Step-by-step explanation:
Bob and Kathy want to save a total of $500,000 for retirement. How much should they deposit monthly into an account that pays 3.9% interest,
compounded monthly, to meet their goal in 24 years?
$1,051.17
$2,102.34
$950.41
$4,446.41
Answer:
it would 4,446.41
Step-by-step explanation:
plzz i need fasssssst
Answer: 1. a) 0 b) -4 2. a) 3 b) -9 3. a) -80 b) -339 c) -14 4. a) 110 b) -87
Step-by-step explanation: This took forever
A hotel rents 240 240 rooms at a rate of $ 40 $40 per day. For each $ 2 $2 increase in the rate, four fewer rooms are rented. Find the room rate that maximizes daily revenue. The rate that maximizes revenue is $
Answer:
The daily rate that maximizes the revenue is $40 and the maximum revenue is $9600
Step-by-step explanation:
Given
[tex]Rooms = 240[/tex]
[tex]Price= \$40[/tex]
[tex]Increment = \$2[/tex]
First, we calculate the revenue.
[tex]Revenue (r) = Price (p) * Number\ of\ Rooms(n)[/tex]
[tex]r = p*n[/tex]
Let x be the change in rate.
i.e.
For every 2x increment in price (p) i.e. p + 2x
There will be 4 fewer rooms (n) i.e. n - 4x
So, the revenue is updated as:
[tex]r = (p + 2x) * (n - 4x)[/tex]
[tex]Price = 40[/tex]
So:
[tex]r = (40 + 2x) * (n - 4x)[/tex]
[tex]Rooms = 240[/tex]
So:
[tex]r = (40 + 2x) * (240 - 4x)[/tex]
Expand
[tex]r = 40 * 240 - 40 * 4x + 2x * 240 - 2x*4x[/tex]
[tex]r = 9600 - 160x + 480x - 8x^2[/tex]
Reorder
[tex]r = -8x^2 - 160x + 480x + 9600[/tex]
[tex]r = -8x^2 +320x + 9600[/tex]
The maximum of a function is calculated as:
[tex]Max = -\frac{b}{2a}[/tex]
In: [tex]r = -8x^2 +320x + 9600[/tex]
[tex]a = -8[/tex] [tex]b = 320[/tex] [tex]c = 9600[/tex]
So:
[tex]Max = -\frac{b}{2a}[/tex]
[tex]Max = -\frac{320}{-8}[/tex]
[tex]Max = \frac{320}{8}[/tex]
[tex]Max = 40[/tex]
To get the maximum revenue;
Substitute 40 for x in [tex]r = -8x^2 +320x + 9600[/tex]
[tex]r = -8(40)^2 + 320 * 40 + 9600[/tex]
[tex]r = 9600[/tex]
The daily rate that maximizes the revenue is $40 and the maximum revenue is $9600
Put these numbers from least to greatest 0.51, 3/4, 0.59, 3/8, 0.24, 0.517
Answer: 0.24, 3/8, 0.51, 0.517, 0.59, 3/4
Step-by-step explanation:
First you will have to convert the 3/4 and 3/8 to a decimal number. By doing this 3/4 turns into 0.75 and the 3/8 becomes 0.375. After this step you then arrange the numbers for the lowest of 0.24 then the 3/8 (0.375) next 0.51 after that is 0.517 then 0.59 and final after that 3/4
Tell whether (12, 43) is a solution of y = 3x + 7.
yes
no
Answer:
yes
Step-by-step explanation:
12x + 16 = 100
100
(Equation)
Solve it and show your work!
15
Simon & Iris earned money
by selling candy. They
earned $12 by recycling.
They split the total and
each got $100. How much
did they earn selling
candy?
Speaker notes
Answer:
1. x = 7
Step-by-step explanation:
12x + 16 = 100
12x = 84
x = 7
Answer:
1. x = 7
2. Simon and Iris earned $212 selling candy.
Step-by-step explanation:
1. 12(7) + 16 = 100
84 + 16 = 100
100 = 100
Therefore, x = 7.
2. If they split the price by 2, then we need to multiply $100 by 2.
100 x 2 = $200
$200 + $12 = $212
Therefore, Simon and Iris earned $212 selling candy.
Mai earns $7 per hour mowing her neighbor’s lawns. She also earned $14 for hauling away bags of recyclables for some neighbors. Priya babysits her neighbor’s children. She earns $8.40 per hour. Priya and Mai have agreed to go to the movies the weekend after they have earned the same amount of money for the same number of hours. How many hours do they have to work before they can go to the movies? How much will they have earned.
Answer:
5 hours for priya 4 of yard mowing and 1 bag moving and they will both earn 42 dollars
Step-by-step explanation:
Henri's bill at a restaurant is $19.62. He wants to leave a tip of 20%, or , of the bill. To find the exact amount of the tip, he should multiply the bill by ____. A good estimate for the amount of the tip is
$4.00. A good estimate for the total bill, including the tip, is
$24.00.
Answer:
0.2
Step-by-step explanation:
19.62*0.2
Multiply by 0.2
Hope this helps plz hit the crown :D
What form of a linear equation is y - 6 = -4(x + 2) ?
Answer:
Point slope form
Step-by-step explanation:
Given
[tex]y - 6 = -4(x + 2)[/tex]
Required
Determine the form of linear equation
A linear has just three forms:
1. The slope intercept form.: This is always in form of [tex]y = mx + b[/tex]
2. The point slope form: This is always in form of [tex]y - y_1 = m(x - cx_1([/tex]
2. The standard form: This is always in form of [tex]Ax + Bxx = c[/tex]
By comparison, the three forms with the question, we can see that option B answers the question.
Is 4y+9+3 and 3y+9+4y equivalent
The radar system in an airport determines the location of inbound and outbound planes once they are within range. The range, based on the signal from the tower, is represented by the polar equation r = 10cos(θ). Which graph represents the signal range of the airport’s radar system?
Answer:The one with the circle on the right.
Step-by-step explanation:
It was A for me but its D for you that's why I'm saying the one with the circle on the Right
Answer: A
Step-by-step explanation:
Samuel pays $59.99 plus $0.25 for each minute over 450 minutes for his cell phone plan. Monica
pays $64.99 plus $0.10 for each minute over 450 minutes for her cell phone plan. Which system
of equations represents this situation? Letx represent the number of minutes over 450
Answer:
D
Step-by-step explanation:
Samuel pays 59.99 for the 450 minutes but when he goes over he pays 0.25 for each minute he goes over. The same thing for Monica
The correct option is D
Given that,
Samuel pays $59.99 plus $0.25 for each minute over 450 minutes for his cell phone plan. Monica pays $64.99 plus $0.10 for each minute over 450 minutes for her cell phone plan.Based on the above information, the equation is as follows:
y = 59.99 + 0.25x
y = 64.99 + 0.10x
Learn more: https://brainly.com/question/1152162?referrer=searchResults
PLEASE OPEN THE PHOTO AND ANSWER ILL GUVE BRAINLIEST (SORRY FOR SPELLINGing)
Answer:
Honestly im confused by this but i think its the second one
Step-by-step explanation:
Examine the worked problem and solve the equation.
Four-thirds (x) minus one-third = 9. Four-thirds (x) minus one-third + one-third = 9 + one-third. Four-thirds (x) = StartFraction 28 over 3 EndFraction
The solution is x =
.
Answer:
The answer is 7
Step-by-step explanation:
I don't know how to explain it really but just divide 4/3 by 28/3 and you should get the answer of x
Answer:
7
Step-by-step explanation:
Write an inequality with the same meaning as the following
16 > x
Answer:
16>x/2
Step-by-step explanation:
HEYYYY HELP ME OUT WILL GIBE BRAINLIST
Answer:
c no is correct answer ☺️
Name a point on this line.
y + 2 = 3(x – 4)
Question 3 options:
(4,-2)
(-2,4)
(2,-4)
(-4,2)
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
just devide the 2 numbers thats there
I don't know these some one help?
Answer:
I hope that's help you.
m = -7
t = 2
n = 10
Is 6dd same answer as 4d+2d
Answer:
[tex]6d \: is \: same \: as \: 4d + 2d[/tex]
Step-by-step explanation:
[tex]4d + 2d = 6d \\ pls \: mark \: as \: brainliest[/tex]
(02.06 LC)
If one foot is the same length as 12 inches, how many inches equal 3.5 feet? (Only input whole numbers.)
Answer for Blank 1
please. i’m begging you
I need help will give brainliest if right
Answer:
X =7
Step-by-step explanation:
find x;
45 IS base,
so 45 power X = 45^7
45^x = 45^7
45 will cancel out remaining x=7
therefore x= 7
Help plsssssssssss number 3
Answer:
a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Think of a car. when you are going 15 miles an hour that means that every hour, you are crossing 15 miles. In this situation the dolphin is going 25 km for every hour. one hour would be 25, two hours would be 50 and so on.
i need help with this badddddddddd
Answer:
She forgot to add the zero when she multiplied 27 x 50
Step-by-step explanation:
If you need one ask me I can try my best to explain
Georgia goes shopping with $80 to spend on food for a party. She buys 9 pizzas that all cost the same price, $20 worth of soda and $15 worth of ice cream. If she spent all of her money, what was the cost of each pizza?
Answer:
$5
Step-by-step explanation:
20+15=35
80-35=45
45 divided by 9 = 5
Line g is dilated by a scale factor of 3 from the origin to create line g'. Where are points E' and F' located after dilation, and how are lines g and g' related? coordinate plane with point E at negative 4 comma 0 and point F at 0 comma 2, line g intersects points E and F The locations of E' and F' are E' (−4, 0) and F' (0, 2), and lines g and g' are the same line. The locations of E' and F' are E' (−2, 0) and F' (0, 1), and lines g and g' intersect at point F. The locations of E' and F' are E' (−1, 0) and F' (0, 0), and lines g and g' are not related. The locations of E' and F' are E' (−12, 0) and F' (0, 6), and lines g and g' are parallel.
Dilation involves changing the size of a shape.
The true statement is that the locations of E' and F' are E' (−12, 0) and F' (0, 6), and lines g and g' are parallel.
The given parameters are:
[tex]k =3[/tex] --- the scale factor
[tex]E = (-4,0)[/tex]
[tex]F =(0,2)[/tex]
Multiply the coordinates of point E and F by the scale factor (k), to determine the new coordinates of E and F.
[tex]E' = E \times k[/tex]
[tex]E' = (-4,0) \times 3[/tex]
[tex]E' = (-12,0)[/tex]
[tex]F' = F \times k[/tex]
[tex]F' = (0,2) \times 3[/tex]
[tex]F' = (0,6)[/tex]
Given that line g is represented by points E and F; line g' would be represented by points E' and F'
So, both lines would be parallel.
Hence, the true option is (d)
Read more about dilation at:
https://brainly.com/question/3457976
Answer:
The locations of E' and F' are E' (−12, 0) and F' (0, 6), and lines g and g' are parallel.
Step-by-step explanation:
line has the equation y=6x +b. What must be the value of b for the line to model a directly proportional relationship
12) (7 + a)-(-7a+1)
Help??
is 12,43 a solution of y =3x+7
Answer:
Yes it is
Step-by-step explanation: