Answer:
$519.79
Step-by-step explanation:
The formula is:
[tex]PV = P (\frac{1 - ( 1 + r ) ^{-n}}{r})[/tex]
[tex](100+x)\frac{(1+\frac{0.04}{4})^{40}-1 }{\frac{0.04}{4} }(1+\frac{0.04}{4})^{40}[/tex] [tex]+100\frac{(1+\frac{0.04}{4})^{40}-1 }{\frac{0.04}{4} }=50000[/tex]
[tex](100+x)(\frac{(1+0.01)^{40} -1}{0.01}) (1+0.01)^{40}[/tex] [tex]+(100)(\frac{(1+0.01)^{40} -1}{0.01} )=50000[/tex]
(100+x) [(1.488864 - 1) / 0.01] (1.488864) + (100) [(1.488864 - 1) / 0.01] = 50000
(100+x) [(0.488864 / 0.01)] (1.488864) + (100) (0.488864 / 0.01) = 50000
(100+x) (48.8864) (1.488864) + (100) (48.8864) = 50000
(100+x) (48.886373) (1.488864) + 4888.64 = 50000
(100+x) (72.785161) + 4888.64 = 50000
7278.5161 + 72.785161 x + 4888.64 = 50000
12167.1561 + 72.785161 x = 50000
72.785161 x = 50000 - 12167.1561
72.785161 x = 37832.8439
x = 37832.8439 / 72.785161
x = 519.787871
x = $519.79
What are the 2 inequality?
karen has 120. if she saves 24 per week, how many weeks will it take her to have a total of 312
Answer:
13 weeks
Step-by-step explanation:
312/24=13
For the equation, 2x + 6 = 3x - 10, what is the solution
Answer: x=16
Step-by-step explanation:
[tex]2x+6=3x-10[/tex]
Subtract 6 on both sides
[tex]2x+6-6=3x-10-6[/tex]
[tex]2x=3x-16[/tex]
Subtract 3x on both sides
[tex]2x-3x=3x-16-3x[/tex]
[tex]-x=-16[/tex]
Divide -1 on both sides
[tex]\frac{-x}{-1}=\frac{-16}{-1}[/tex]
[tex]x=16[/tex]
15 more than ten times a number equals 60. What is the number?
Answer:
4.5
Step-by-step explanation:
Let the number be x, then:
10x + 15 = 6010x = 60 - 1510x = 45x = 45/10x = 4.5The number is 4.5
Answer:
4.5
Step-by-step explanation:
let the number be x , then
10x + 15 = 60 ( subtract 15 from both sides )
10x = 45 ( divide both sides by 10 )
x = 4.5
The number is 4.5
A friut stand sells watermelons during the summer. The revenue for selling x watermelons is given by f(x)=2.5x. The team's profit is $25 more than 60% of the revenue for selling x watermelons. Write a funcction g to model the profit. Then find the profit for selling 44 watermelons.
Answer:
$91
Step-by-step explanation:
f(x) = 2.5 x
$25 more would + $25 to the function
60% = .6
Revenue is f(x) = 2.5x which we have to multiply by the .6
g(x) = $25 + .6 (2.5 x)
If we have 44 watermelons then we plug in 44 for x
x = 44
g(x) = $25 + .6 (2.5*44)
g(x) = $25 + .6 (110)
g(x) = 25 + 66
g(x) = $91
The profit is $91
Darnell is 5 times 3 less then Kortez age. Darnell is 40 how old is Kortez?
Ellie runs 5/6 mile in 10 minutes. What is Ellie's speed in miles per minute?
Answer:
1/12 mi/min = 0.083 mi/min
Step-by-step explanation:
From the question given above, we obtained the following information:
Distance (d) = 5/6 mile
Time (t) = 10 mins
Speed (S) =?
Speed is simply defined as the rate of change of distance moved with time. It can be represented mathematically by the following equation:
Speed (S) = Distance (d) / time (t)
S = d/t
With the above formula, we can calculate Ellie's speed as follow:
Distance (d) = 5/6 mile
Time (t) = 10 mins
Speed (S) =?
S = d/t
S = 5/6 ÷ 10
S = 5/6 × 1/10
S = 5/60
S = 1/12 mi/min = 0.083 mi/min
Therefore, Ellie's speed is 1/12 mi/min.
Ellie speed in miles per minute is 1 / 12
Speed:Speed is a scalar quantity with only magnitude and no direction. Speed measures how fast an object is in motion.
Speed is represented mathematically as follows:
speed = distance /time
Ellie covers 5/6 miles in 10 minutes. Therefore,
distance = 5/6 miles
time = 10 minutes
Speed = [tex]\frac{\frac{5}{6} }{10}[/tex] = [tex]\frac{5}{6}[/tex] ×[tex]\frac{1}{10}[/tex] = [tex]\frac{5}{60}[/tex] = [tex]\frac{1}{12}[/tex] miles per minutes
learn more on speed here: https://brainly.com/question/17426617?referrer=searchResults
Write the domain as an inequality
Answer:
[tex]x\leq 0[/tex]
Step-by-step explanation:
The domain is the span of x-values covered by the graph.
From the graph, we can see that the x-values covered by the graph is all values to the left of zero including zero.
Therefore, the domain is all x-values less than or equal to 0:
[tex]x\leq 0[/tex]
Further notes:
In interval notation, this is:
[tex](-\infty,0][/tex]
Answer:
[tex]\huge \boxed{x\geq 0}[/tex]
Step-by-step explanation:
The domain is all possible values for x or where the x values covers the graph.
All the values for x are less or equal to 0 as shown in the graph.
This can be written as an inequality:
[tex]x\geq 0[/tex]
Chocolate ganache is made from chocolate and cream in a3:2 ratio, respectively. If one batch of ganache requires 240 grams of chocolate, how many grams of cream is required?
Answer:
160
Step-by-step explanation:
240/3= 80
80*2= 160
Find the Area of the figure below, composed of a rectangle and a semicircle. Round to
the nearest tenths place.
13
8
Answer:
Total area of the composite figure = 129.1 square units
Step-by-step explanation:
Area of the figure attached = Area of semicircle + Area of the rectangle
Since area of the semicircle = [tex]\frac{1}{2}\pi r^{2}[/tex]
where 'r' = radius of the circle
Area of the semicircle = [tex]\frac{1}{2}\pi (4)^{2}[/tex]
= 8π
= 25.1 square units
Area of the rectangle = Length × width
= 13 × 8
= 104 square units
Total area of the composite figure = 25.1 + 104
= 129.1 square units
Solve the equation below for the variable "x". *
- 2x + 10 = 8
Answer:
x = 1
Step-by-step explanation:
Subtract 10 from 8 to get -2. Then divide -2x by itself so it will cancel out. Whatever you do to one side of the equation, do to the other so divide -2 by -2 to get your answer of 1
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
[tex]-2x+10=8[/tex]
So let's solve this equation.
So first, we're gonna have to minus 10 from both sides of the equation.
[tex]-2x+10-10=8-10[/tex]
Now let's turn this into a fraction and divide by -2
[tex]\frac{-2x}{-2} =\frac{-2}{-2}[/tex]
[tex]x=1[/tex]
So now we have our answer!
Hope this Helps!
Can someone help me on this I’m stuck pleaseee anyone
Answer:
1a. 0 pounds of grapes costs 0 dollars.
1b. 1 pound of grapes costs 3 dollars.
2a. There are 0 batteries in 0 packs of batteries.
2b. There are 10 batteries in 1 pack of batteries.
(-r^2 + 8pr - p) - (-12r^2 - 2pr + 8p)
Answer:
11r^2+10pr-9p i think
Step-by-step explanation:
On simplifying the expression we get 11r²+10pr-9p
What are like and unlike terms in an expression?In Algebra, the like terms are defined as the terms that contain the same variable which is raised to the same power. In algebraic like terms, only the numerical coefficients can vary. We can combine the like terms to simplify the algebraic expressions.
Given here, -r²+8pr-p-(-12r²-2pr+9p) = -r²+12r²+8pr+2pr-10p
=11r²+10pr-9p
Hence, On simplifying the expression we get 11r²+10pr-9p
Learn more about like and unlike terms here:
https://brainly.com/question/29078851
#SPJ2
I will aprecciate any help 7
Answer:
f = -44
Step-by-step explanation:
f / -2 - 9 = 13
Add 9 to each side
f / -2 - 9+9 = 13+9
f / -2 = 22
Multiply each side by -2
f / -2 * -2 = 22 * -2
f = -44
Find AB.
69
20
19
Is a quizizz
Answer:
imma guess 19 but im not sure
Simplify the following. (the answer is not 0)
4[5+ 206-2 * 3)] - 5[4(16= 4-12 = 4) - 4 + 2]
Select the correct response:
30
15
50
10
Answer:10
Step-by-step explanation:
4[5+2(6-6)]-5[4(4-3)-4+2]=20-5[4-2]=10
Answer:
10
Step-by-step explanation:
4[5+2(6-2*3)]-5[4(16÷4-12÷4)-4+2]
4[5+2(6-6)]-5[4(4-12÷4)-4+2]
4[5+2(6-6)]-5[4(4-3)-4+2]
4[5+2(0)]-5[4(1)-4+2]
4[5+0]-5[4-4+2]
4[5]-5[0+2]
4[5]-5[2]
20-5[2]
20-10
10
Combine Like terms:
-6 + y - (-10y)
Answer:
Step-by-step explanation:
-6 + y + 10y
= 11y - 6
Answer:
-6+11y or 11y-6
Explanation:
Since there is a - in front of the parentheses it wants you to multiple by -1, which will be equal to 10y. 10y+y=11y. After this, you would add the -6, or subtract 6 from that.
What is the image of the point (-9,3) after a rotation of 180° counterclockwise
about the origin?
Answer:
(9, - 3 )
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 180°
a point (x, y ) → (- x, - y ) , thus
(- 9, 3 )→ (9, - 3 )
What is 2/3 divided by 6/5
what is 80.2 in standard form??
Step-by-step explanation:
8.02 X 10².............
You are redecorating your bedroom and want to place two posters on the wall. Your wall is 12 feet, 6 inches long and each poster is 27 inches across. You want to make sure that the distance in between posters and the distance from each poster to the walls is equal. Your brother thinks you should place the posters about 30 inches from the wall. Is your brother's estimate reasonable?
Answer:
1 ft = 12 in
14 ft = 14*12 in
14 ft = 168 in
Now we can write the following equation:
3x + 2*42 = 168 + 3
........
........
x = 29 in
The poster should be placed 29 inches from the edge of the wall.
Which expression is equivalent to 2(m − 5) + 6?
Answer:
2m-4
Step-by-step explanation:
Answer:
2m-4
Step-by-step explanation:
The students at Woodward Elementary voted for a school mascot. The falcon won with 58 of the votes and the eagle came second with 13 of the remaining votes. If 536 students voted for a mascot, how many students voted for the eagle?
Answer:
67 students voted for the eagle
Step-by-step explanation:
The students at Woodward Elementary voted for a school mascot. The falcon won with 5/8 of the votes and the eagle came second with 1/3 of the remaining votes. If 536 students voted for a mascot, how many students voted for the eagle
Total students who voted = 536
Falcon won with 5/8 of the votes
5/8 of 536
=5/8 × 536
= 2,680/8
= 335 votes
Falcons won with 335 votes
Remaining votes = Total votes - falcons votes
= 536 - 335
= 201 votes
There are 201 votes remaining
Eagle came second with 1/3 of the remaining votes
1/3 of the remaining votes
= 1/3 × 201
= 201/3
= 67 votes
67 students voted for the eagle
Find the greatest common factor (GCF)
simplify 5to the negative power of 3
Answer:
1/5 to to the third makes it 1/125
Step-by-step explanation:
Answer:
0.008
Step-by-step explanation:
5-3 = 1 ÷ 5 ÷ 5 ÷ 5 = 0.008
or could be calculated like this
1 ÷ (5 × 5 × 5) = 1/53 = 1/125 = 0.008
Please help me solve this question,
Answer:
D is true
Step-by-step explanation:
count AB then Count BC and add them together
and then it equals the same amount as AC
if a cone and a cylinder have the same radius and the perpendicular height of the cone is twice that of a cylinder find the ratio of the volume
Answer:
2/3
Step-by-step explanation:
h = height of the cone
Vcone = πr²h/3
H = h/2 = height of the cylinder
Vcylinder = πr²H = πr²h/2
Vcone/Vcylinder = (πr²h/3)/(πr²h/2)
= πr²h/3 x 2/πr²h
= 2/3
Answer:
2/3
Step-by-step explanation:
h = height of the cone
Vcone = πr²h/3
H = h/2 = height of the cylinder
Vcylinder = πr²H = πr²h/2
Vcone/Vcylinder = (πr²h/3)/(πr²h/2)
= πr²h/3 x 2/πr²h
= 2/3
A cyclist rides his bike at a rate of 15 miles per hour. what is this rate in miles per minute? how many miles will the cyclist travel in 20 minutes? do not round your answers.
Answer:
15 miles/hour = 0.25 miles/minute
The cyclist would have traveled 5 miles in 20 minutes.
Step-by-step explanation:
15 miles per hour is written as
15 miles/hour
To convert 15 miles/hour to miles/minute
From 1 hour = 60 minutes
∴ 15 miles/hour = 15 miles/ 60 minutes
= (15/60) miles/minute
= 0.25 miles/minute
To calculate how many miles the cyclist will travel in 20 minutes
That is, Time, t = 20 minutes
Velocity, v = 15 miles/hour = 0.25 miles/minute
Distance, s = ??
From,
[tex]Velocity = \frac{Distance}{Time}\\[/tex]
∴[tex]Distance = Velocity[/tex] × [tex]Time[/tex]
[tex]Distance = 0.25 miles/minute[/tex] × [tex]20 minutes[/tex]
[tex]Distance = 5 miles[/tex]
Hence, The cyclist would have traveled 5 miles in 20 minutes.
Making a round trip from Fairview to Cartersville, a distance of 20 miles, a pilot faces 30 mph head wind one way and 30 mph tail wind on the return trip. The return trip takes 45 minutes less than the outbound journey. Find the speed of the plane in still air
Answer:
50mph
Step-by-step explanation:
Given the following :
Distance (d) of journey = 20 miles
Wind speed = 30mph head wind in one way, 30mph tail wind in the other direction
Return trip = 45 minutes (45/60 = 0.75 hour) less Than the outbound journey
Speed of plane in still air
Outbound trip :
Velocity = Distance / time
Time = distance / velocity
Velocity = (v - 30) due to head wind
Return Velocity (V +30) due to tail wind
Outbound time = return distance
20 / (v - 30) = 20 / (v +30) + 0.75
20v + 600 = 20v + 0.75v^2 + 22.5v - 600-22.5v-675
600 = 0.75v^2 - 1275
0.75v^2 = 1875
v^2 = 1875/ 0.75
v^2 = 2500
v = sqrt(2500)
v = 50mph
Brown Squirrels can carry 2 acorns at a time. Gray Squirrels can carry 3 acorns at a time. Black Squirrels can carry 5 acorns at a time. Suppose the three squirrels all wanted to store acorns for the winter. Depending on how motivated each squirrel was they would end up with different amounts. For instance, suppose the Brown Squirrel took 4 trips, the Gray Squirrel took 2 trips and the Black Squirrel took 2 trips. The Brown Squirrel would end up with 8 acorns, the Gray Squirrel would have 6 acorns and the Black Squirrel would have 10 . Between them they took every one of the 24 acorns. How Many Ways "Show Them" can the squirrels get all 24 acorns. (One can get all of them, and the others get none
Answer:
There are five ways in which the squirrels can get all 24 acorns.
Step-by-step explanation:
The information provided is:
Brown Squirrels can carry 2 acorns at a time.Gray Squirrels can carry 3 acorns at a time. Black Squirrels can carry 5 acorns at a time. The three squirrels all wanted to store acorns for the winter. Between them they took every one of the 24 acorns.Each squirrel makes at least one trip.
Consider the table for the total number of trips the squirrels make get all 24 acorns:
Brown (2) Gray (3) Black (5) Total no. of acorns
1 4 2 (1 × 2) + (4 × 3) + (2 × 5) = 24
2 5 1 (2 × 2) + (5 × 3) + (1 × 5) = 24
3 1 3 (3 × 2) + (1 × 3) + (3 × 5) = 24
4 2 2 (4 × 2) + (2 × 3) + (2 × 5) = 24
5 3 1 (5 × 2) + (3 × 3) + (1 × 5) = 24
Thus, there are five ways in which the squirrels can get all 24 acorns.