Answer:
Original amount invested = $3400 .
Step-by-step explanation:
Let the original investment of Steve = $x
Stock increased in the first year = 50% of amount invested
Therefore total amount after one year = x + 0.5x = 1.5x
Commission paid to the stock broker = $350
Amount lost by him = $400
Amount withdrawn by him = $300
Total amount decreased from the amount after 1 year
= 1.5x - (350 + 400 + 300)
= 1.5x - 1050
This remaining amount is doubled, so the final amount
= 2(1.5x - 1050)
= 3x - 2100
This final amount is equal to $8100
3x - 2100 = 8100
3x = 8100 + 2100
3x = 10200
x = $3400
Therefore original amount invested in the stock market was $3400 .
There could be ___ solutions to an inequality.
three
common
infinitely many
two
Inequality has a set of solutions there could be infinitely many solutions to inequality.
What is inequality?A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.
Let's consider inequality,
n > 3 where n is the natural number.
Now 4,5,6,7.... up infinite will be the solution of the inequality.
Therefore, inequality consists of infinitely many solutions.
Hence "Inequality has a set of solutions there could be infinitely many solutions to inequality".
For more about inequality,
brainly.com/question/20383699
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Fabio is driving west away from Albany and towards buffalo along interstate 90 at a constant rate of speed of 62 miles per hour. After driving for 1.5 hours Fabio is 221 miles from Albany
Answer:
The distance between Albany and Buffalo along the I90 is 288.8 mi.
The speed of Fabio is 62 mph.
After 1.5 hours, he is 221 miles from Albany.
Things we can calculate here:
Using the relation:
Distance = time*speed.
We can calculate the number of miles that he moved in that 1.5 hours.
D = 62mph*1.5h = 93mi.
If after 1.5 hours, he was 221 miles Albany, then before that he was 93 miles closer to Albany.
His initial position was:
221 - 93 = 128 miles away from Albany.
Now we also can calculate the time left to arrive at Buffalo.
We know that the distance between Albany and Buffalo is 288.8 mi
And he is 221 mi away from Albany.
Then the distance left to Buffalo is:
288.8mi - 221mi = 67.8mi
And the time left will be:
Distance/speed = time
67.8mi/62mph = 1.1 hours.
He needs to drive for another 1.1 hours to get to Buffalo.
What is the value of the expression below when y = 6?
бу — 1
Answer:
35
Given:
y=6
Step-by-step explanation:
бу — 1
6(6)-1
36-1
35
hope it helps you!
Jacob buys 6 game tickets and 3 ride tickets at a carnival for $39. Emily buys 2 game tickets and 2 ride tickets for $18. Find the cost of a game ticket and the cost of a ride ticket at the carnival. Set up and solve a system of equations.
Your answer:
Answer:
Cost of ride ticket = $5
Cost of game ticket = $4
Step-by-step explanation:
Given that:
Let ;
game ticket = g
Ride ticket = r
Jacob :
6g + 3r = 39 - - - (1)
Emily :
2g + 2r = 18 - - - - (2)
Divide (2) b y 2
g + r = 9 - - - - (3)
From (3)
g = 9 - r
Substitute ; g = 9 - r into (1)
6(9 - r) + 3r = 39
54 - 6r + 3r = 39
54 - 3r = 39
-3r = 39 - 54
-3r = - 15
r = 5
Put r = 5 in (g = 9 - r)
g = 9 - 5
g = 4
Hence,
Cost of ride ticket = $5
Cost of game ticket = $4
3(3x - 1) + 2(3 - x) = 0
Answer:
-3/7
Step-by-step explanation:
Which of the following is equivalent to 5x-6y=20?
A y=5/6x
B y=5/6x-10/3
C y=6/5x+4
D y=-5/6x
Answer:
y = [tex]\frac{5}{6}[/tex]x - [tex]\frac{10}{3}[/tex]
Step-by-step explanation:
Given expression:
5x - 6y = 20
To solve this problem, we make y the subject of the expression:
Solution
5x - 6y = 20
Add -5x to both sides of the expression;
-5x + 5x - 6y = 20 + (-5x)
-6y = 20 - 5x
Now, multiply both sides by [tex]-\frac{1}{6}[/tex] ;
[tex]-\frac{1}{6}[/tex] x (-6y) = [tex]-\frac{1}{6}[/tex] (20 - 5x )
y = [tex]-\frac{20}{6}[/tex] + [tex]\frac{5}{6}[/tex]x
y = [tex]\frac{5}{6}[/tex]x - [tex]\frac{10}{3}[/tex]
plz help ASAP please please
Answer:
9030.75
Step-by-step explanation:
5039.16/.558=9030.752688
round to the nearest hundredth
9030.75
i think
At SMS, students were encouraged to wear school colors of blue and white. 900 Students wore their school colors while 300 students did not. What percent of the school population did not wear school colors?
Answer:
audududheyeheheh gay
Rewrite the equation in proper standard form equation 1/4x- 3/4y = -3
Un inversionista desea comprar acciones de dos tipos. Las de tipo A generan un interés simple a razón de una tasa de 0,5 % mensual; mientras que las de tipo B producen un interés compuesto del 0,3 % mensual capitalizable trimestralmente. Si se invierten S/10 000 en acciones del tipo A, ¿cuánto de ganancia se obtendrá al cabo de seis meses? ¿Cuánto se debe invertir en acciones del tipo B para que al cabo de seis meses se obtenga una ganancia de S/876,00? ¿A qué tasa de interés compuesto anual la utilidad en un año es la misma para los dos tipos de acciones?
Answer:
Si se invierten S/10 000 en acciones del tipo A, ¿cuánto de ganancia se obtendrá al cabo de seis meses?
$10,000 x 0.5% x 6 = $300
¿Cuánto se debe invertir en acciones del tipo B para que al cabo de seis meses se obtenga una ganancia de S/876,00?
interes compuesto = 0.9% trimestral
X · (1 + 0.009)² = X + $876
1.018081X = X + $876
0.018081X = $876
X = $876 / 0.018081 = $48,448.65
¿A qué tasa de interés compuesto anual la utilidad en un año es la misma para los dos tipos de acciones?
$1 x 106% = $1 x (1 + i)⁴
$1.06 = $1 x (1 + i)⁴
(1 + i)⁴ = $1.06 / $1 = 1.06
⁴√(1 + i)⁴ = ⁴√1.06
1 + i = 1.01467
i = 0.01467 = 1.467% trimestral
0.489% mensual capitablizable trimestralmente
Find the slope help plz
Answer:
The slope would be 10/15 or 2/3 in simplest form.
2(x - 3) = -8
can someone explain to me how to slove this without calculator please and thank you<3
Answer:
-1
Step-by-step explanation:
Distribute
2(x-3)=-8
2x-6=-8
2x=-2
DIVIDE 2 on both sides
x=-1
Point P'(-3, 2) is the image of point P(3, 8) under a translation. What is the image of (0, -6) under the
same translation?
Answer:
The image of the point (0, -6) under the same translation is (-6, -12)
Step-by-step explanation:
Let us revise the rules of translation
If the point (x, y) translated horizontally to the right by h units then its image is (x + h, y) ⇒ T (x, y) → (x + h, y)If the point (x, y) translated horizontally to the left by h units then its image is (x - h, y) ⇒ T (x, y) → (x - h, y)If the point (x, y) translated vertically up by k units then its image is (x, y + k)→ (x + h, y) ⇒ T (x, y) → (x, y + k)If the point (x, y) translated vertically down by k units then its image is (x, y - k) ⇒ T (x, y) → (x, y - k)∵ The coordinate of point P are (3, 8)
∵ The coordinates of its image P' are (-3, 2)
→ The x-coordinate is changed from 3 to -3, that means the point
translated to the left by h units
∵ h = -3 - 3
∴ h = -6
→ The y-coordinate is changed from 8 to 2, that means the point
translated down by k units
∵ k = 2 - 8
∴ k = -6
→ By using the rule above
∴ The rule of translation is (x, y) → (x - 6, y - 6)
∵ The coordinates of the point are (0, -6)
∴ The coordinates of its image are (0 - 6, -6 - 6)
∴ The coordinates of its image are (-6, -12)
Waterco is filling barrels with waste water at the rate of 8 quarts per hour. The recycling facility picks up 150 barrels on each trip, and each barrel holds 15 quarts of wastewater. How many days are between each pick up? Show your work to receive full credit. Round answer to the tenths place 
Answer:
11.7 days
Step-by-step explanation:
Given that:
Filling rate = 8 quarts per hour
150 barrels picked up per trip
One barrel = 15 quarts of waste water
Barrel picked up per trip = 150 barrels
Number of quarts per barrel = 15 quarts
Total quantity of waste water = (150 * 15) = 2250 quarts
Filling rate = 8 quarts per hour
Time taken = quantity / rate
Time taken in days = 2250 quarts /(8*24) = 11.72
11.7 days
Jason solved the following equation to find the value for
X.
-8.5x – 3.5x = -78
x = 6.5
Describe how Jason can check his answer.
I
Answer:
we know, that If the x value is a solution to the equation, the x value must satisfy the equation. so It is true.
Step-by-step explanation:
just copy and paste it, its right
Help help me plsssssSss
Answer:
Step-by-step explanation:
it is that because it equalls with positives numbers and if u do your calculation maybe youll undestand
The cost of Veronica's dinner is $13.75 she leaves a tip that is 18% of the cost of dinner how much tip did she leave for her server?
Answer:
2.48$
Step-by-step explanation:
You can say that the tip is ? of of 13.75 and written as
[tex]\frac{?}{13.75}[/tex] and .18 is [tex]\frac{18}{100}[/tex] cross multiply these so
13.75 x 18 = 100?
247.5 = 100?
2.475 = ?
then round up
I need Your help plish
Answer:
5
Step-by-step explanation:
Because there is zones
I only got two so far...
Answer:NML iscocilese triangle
Step-by-step explanation:
Answer:
right angle, obtuse angle and straight angle
Step-by-step explanation:
i hope this is what you mean sry if it didn't help
Item 1
Find 11/12+(−7/12). Write your answer as a fraction in simplest form.
Answer:
1/3
Step-by-step explanation:
I think not sure.
Lisa and two friends shop at a bookstore. they each choose a book and share the cost equally among the 3 of them the total cost of the books is $27:00
A. create an equation that models the situation, using c to represent how much in dollars each person pays
B. how much does each person pay
Answer:
27/3=9 the answer is nine
Step-by-step explanation:
A marathon is 26.2 miles long. There is a water station every 114 miles along the race route. How many water stations are needed for this marathon? here is the "answer" aka the options you have. 12,16,21,26. Please help me!!!!!!!!
Answer:
I think 21
Step-by-step explanation:
HELPP!!! I need help!
Answer: c.
Step-by-step explanation:
x^2 + 2x - 5 - (x - 3)
distribute the negative
x^2 + 2x - 5 - x + 3
combine like terms
x^2 + x - 2
Answer:
B
Step-by-step explanation:
You start by Figuring out the answer to each side of the equation by using PEMDAS (parenathes,exponets, mutiplacation, division,addition and subtractoin). then you add your varribles and exponets. Then simplify.
The function y = $14.99 + $1.25x represents the price y for a pizza with x toppings. Which is not a reasonable range value for this function?
A. $18.25
B.$21.24
C.$17.49
D.$14.99
Consider the complex number i 6.
What is the real part?
Answer:
For example, 2 + 3i is a complex number. ... The real number a is called the real part of the complex number a + bi; the real number b is called its imaginary part. To emphasize, the imaginary part does not include a factor i; that is, the imaginary part is b, not bi.
How many quarts are in 583.7 liters?
Answer:
616.788
OR
616.79 (rounded answer)
Step-by-step explanation:
Answer:
616.78891
Step-by-step explanation:
1 liter is 1.05669 quarts
Good luck!
64x^2y-y factor the expression
Answer:
y(8x+1)(8x-1)
Step-by-step explanation:
Please help!! I need a correct answer because it’s a test and I need a good grade. Thank you!
Answer:
Minimum = 55 F
Maximum = 71 F
Step-by-step explanation:
The temperature is changing by 8 degrees either up or down.
Because you don't know which way it is changing, you add and subtract to find the maximum and minimum, respectively.
63 + 8 = 71. Add for maximum.
63 - 8 = 55. Subtract for minimum.
63 min. 8 max. ?
answer
HELP!! Check the following sets that are closed under the given operations!!!!
Answer:
DONDODA
Step-by-step explanation:
150 ml of orange juice has a mass of 200g. What is the density?