Answer:
Solving a system of inequalities is almost like solving a system of equations. Pretend that the inequality signs are equal signs for a moment. Then, solve the system for the two unknown variables just like how you would solve for in a system of equations.
But, there's a catch. If you divide both sides of the inequality by a negative number, you have to flip the inequality sign. For example, if you are trying to solve the inequality -x > 4 you would have to divide both sides of the equation by -1. We would get x < -4 (see how I switched the inequality sign from > to <).
Once you find the values of x and y (they will be an inequality), graph the solutions.
Suppose that 2000 is placed in an account that pays 13% interest compounded each year. Assume that no withdrawals are made from the account. Do not do any rounding.
A:Find the amount in the account at the end of 1 year.
B: Find the amount in the account at the end of 2 years.
The amount will be $2260 in the account at the end of 1 year. The amount will be $2553.8 in the account at the end of 2 years.
What is Compound interest?Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.
A = P(1+r/100)ⁿ
Where:
A = the future value of the investment or loan
P = the principal investment or loan amount
r = the interest rate (decimal)
n = the number of compound periods
As per the question, the given data will be:
p = $2000
r = 13%
t = 1 year
To calculate the amount in the account at the end of 1 year.
A = P(1+r/100)ⁿ
Substitute the values of p,r, and t in the formula,
A = 2000(1 + 13/100)¹
A = 2000(1 + 0.13)¹
A = 2000(1.13)
A = $2260
To calculate the amount in the account at the end of 2 years.
A = 2000(1 + 13/100)²
A = 2000(1 + 0.13)²
A = 2000(1.13)²
A = $2553.8
Thus, the amount will be $2260 in the account at the end of 1 year. The amount will be $2553.8 in the account at the end of 2 years.
To learn more about Compound interest click here:
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What is the value of c?
Divide (-3x^2 - 9x) ÷ (x + 3)
please explain/show work! <33
Step-by-step explanation:
[tex]( - 3 {x}^{2} - 9x) \div (x + 3) [/tex]
This is the original equation so you will open the brackets.
[tex] - 3 {x}^{2} - 9x \div x + 3[/tex]
The x will cross the division sign making it times x.
[tex]3 {x}^{2} - 9x \times x = 3[/tex]
So you will proceed to multiply the 9x by x making it;
[tex]3 {x}^{2} - 9 {x}^{2} = 3 [/tex]
So you will subtract 9x² from 3x² which won't be possible so it will be negative.
[tex] - 6 {x}^{2} = 3 [/tex]
Then you will square root both sides making it;
[tex] - \sqrt{6 {x}^{2} } = \sqrt{3} [/tex]
So the ² will cancel the √ leaving
-6x=√3
-6x=1.73(Divide both sides by -6)
x=0.288
That's the final answer.
-3(2x+1) is 20 greater than the value of 8x+5 : what does x equal
Answer:
-2
Step-by-step explanation:
Luis had 4 boxes of party favors. One full box contained 16 bags of favors and each bag had 5 items in it. What is the total number
items that Luis had in his possession?
O A. 360
B. 320
O C. 170
OD. 7.5
Find the slope of the line through
3) (-1, 17). (6, 12)
At a food festival, 3/8 of the dishes were from china. Another 12.5% of the dishes were from japan. What percent of the dishes were from the other countries?
Answer: 50%
Step-by-step explanation:
Let x = Total dishes.
Dishes from China = [tex]\dfrac38x[/tex]
Dishes from Japan = [tex]12.5\% \text{ of }x= 0.125x[/tex]
Total dishes from China and Japan = [tex]\dfrac38 x+0.125x=0.375x+0.125x=0.5x[/tex]
Dishes from other countries [tex]= x- 0.5x= 0.5x[/tex]
Percent of dishes from other countries= [tex]\dfrac{0.5x}{x}\times100\%= 50\%[/tex]
Hence, dishes from other countries = 50%
fine the exact rationalized value of sin(25π/6)
Help asap
A local hamburger shop sold a combined total of 555 hamburgers and cheeseburgers on Saturday. There were 55 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Saturday?
Answer:
There were 250 hamburgers sold on Saturday.
Step-by-step explanation:
∵ A local hamburger shop sold a combined total of 555 hamburgers
and cheeseburgers on Saturday
→ Assume that the shop sold x hamburgers
∵ The shop sold x hamburgers
∵ There were 55 more cheeseburgers sold than hamburgers
→ That means the number of cheeseburgers is greater than the
number of hamburger by 55
∴ The shop sold x + 55 cheeseburgers
∵ The shop sold 555 burgers
→ Add the two types of burgers and equate the sum by 555
∴ x + x + 55 = 555
∴ 2x + 55 = 555
→ Subtract 55 from both sides
∴ 2x + 55 - 55 = 555 - 55
∴ 2x = 500
→ Divide both sides by 2 to find x
∵ [tex]\frac{2x}{2}[/tex] = [tex]\frac{500}{2}[/tex]
∴ x = 250
∵ x represents the number of hamburgers
∴ There were 250 hamburgers sold on Saturday.
Solve for x I need help ASAP!
Let's solve your equation step-by-step.
2x+9=8x+21
Step 1: Subtract 8x from both sides.
2x+9−8x=8x+21−8x
−6x+9=21
Step 2: Subtract 9 from both sides.
−6x+9−9=21−9
−6x=12
Step 3: Divide both sides by -6.
-6x/-6=12/-6
x=-2
Answer:
-2 = x
Step-by-step explanation:
First, combine like-terms. I subtracted 21 from both sides and subtracted 2x from both sides. This gave us 12 = -6x. Then, divide to solve for x. This gives us -2 = x.
Hope this helps! Let me know!
Which expression is a difference of cubes?
Answer:
[tex](x-y)(x^2+xy++y^2)[/tex]
Step-by-step explanation:
[tex]Proof :\\(x-y)(x^2+xy+y^2)\\=(x^3+x^2y+y^2x-x^2y-xy^2-y^3)\\=x^3-y^3[/tex]
Answer:
It would be D
Step-by-step explanation:
Got it right on Edge 2021
What is the volume of a cylinder with a radius of 1.5 inches and a height of 9 inches round your answer to the nearest hundredthWhat is the volume of a cylinder with a radius of 1.5 inches and a height of 9 inches round your answer to the nearest hundredth
Answer:
V = 63.62
Step-by-step explanation:
Answer: 63.62 cubic inches
Step-by-step explanation:
REMEMBER :: VOLUME OF CYLINDER = πr^2h
r= 1.5 in.
h= 9 in.
V= π (1.5)^2 (9)
V= π (2.25) (9)
V= π (20.25)
V~63.6172512...
nearest hundredth = 63.62 cubic inches
There are 9.4 hours of music left on Nate's playlist and this is 47% of the total memory how much memory does Nate's MP3 player have? Please answer
Answer:
Nate's MP3 has 20 hours of memory.
Step-by-step explanation:
1. multiply 9.4 times 100
2. divide that by 47
3. you get your answer of 20 hours
A line passes through the point (4, –6) and has a slope of Negative three-fourths. Which is the equation of the line?
y = negative three-fourths x minus 3
y = negative three-fourths x minus 6
y = negative 3 x minus three-fourths
y = negative 6 x minus three-fourths
Answer:
Option A
Step-by-step explanation:
The equation of line is
Solution:
Given that line passes through the point (4, –6) and has a slope of Negative three-fourths
Given point is (x, y) = (4, -6)
The equation of line passing through point (x, y) and slope "m" is given as:
y = mx + c ----- eqn 1
Where "m" is the slope of line and "c" is the y - intercept
Substitute (x, y) = (4, -6) and in eqn 1
The required equation of line is given as:
Thus the equation of line is found
Answer:
a
Step-by-step explanation:
riddle
What runs around the whole yard without moving?
Answer:
a yard stick, maybe I'm right
Answer:
a fence
Step-by-step explanation:
HAHAHA LOL
solve the equation
-4(x - 26) = -200
Answer:
x=76
Step-by-step explanation:
-4(x - 26) = -200
x-26=50
x=50+26
x=76
I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)
Step-by-step explanation:
-4x+104=-200
-4x=-200-104
-4x=-304
x=-304÷(-4)
×=76
If f(x) = 2x – 4 and g(x) = x 2 – 4x, find each value.
Answer:
Step-by-step explanation:
First, solve for each function separately:
F(5)=52+4(5)F(5)=25+20⇒F(5)=45
G(6)=2(6)+2G(6)=12+2⇒G(6)=1
Now, let's add our solutions together:
F(5)+G(6)=45+14=59
Answer:*******************brainliest
Answer:
How is your day going lol
Step-by-step explanation:
was this supposed to be a question lol>
On a coordinate plane, a line goes through points (1, 9) and (4, 3).
What is the slope of a line that contains the points (1, 9) and (4, 3)?
Answer:
yes
Step-by-step explanation:
l,l,;,;,;,;l,;,;
Which statement explains how to determine if triangle ABC is similar to triangle XYZ?
Answer:
It is the last one
Step-by-step explanation:
There aren't enough angles
Find the 39th term of the following sequence. 17,11, 5, -1
Answer:
-330
Step-by-step explanation:
a39= 17+ (39-1) * -6
17+ 38 = 55
55*-6 = -330
The larger of two numbers is fourteen more than twice the smaller number. If the sum of the numbers is 41, find the two numbers. Write your answer as two numbers separated by a comma.
Answer:
x+y=41
x=2y+14
by solving eq
2y+14+y=41
y=27
×=68
Is there a proportional relationship between x and y? Explain.
х
8
10
12
14
у
5
7
9
11
A.
No, all ratios
are not equivalent.
B. Yes, each x value and y value increases by 2.
C. Yes; the difference between each x value and y value is 3.
D.
No, all ratios
are greater than 1.
Answer:
B. Yes, each x value and y value increases by 2.
Here are the first four terms of an arithmetic sequence. 3 10 17 24 Find, in terms of n, an expression for the nth term of this arithmetic sequence.
Answer:
[tex]a_{n}[/tex] = 7n - 4
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 3 and d = a₂ - a₁ = 10 - 3 = 7 , thus
[tex]a_{n}[/tex] = 3 + 7(n - 1) = 3 + 7n - 7 = 7n - 4
Brainliest 5 stars Thanks! (running out of time and points sorry)
1. Order the set of integers {-3, 0, -6,4} from greatest to least.
Answer:
Greatest 4 > 0 > -3 > -6 Least
General Formulas and Concepts:
Number lineStep-by-step explanation:
Negative numbers are always going to be the smallest while positive numbers will be the greatest
Answer:
4,0,-3,-6
Step-by-step explanation:
integer means a number which is not a fraction. So 4 is the greatest ,because it is positive.Then 0.Then -3 then -6 'cause there negative.
Determine the values of X
Step-by-step explanation:
x+66+52=180
x=180-66-52
x=180-118
x=62
Please help me out!!!!!
help plz it due today
Answer:
Point A - 1/2 and - 1/4
Point B - 2 1/2 and 1 1/2
Point C 1/4 and 1/2
Step-by-step explanation:
Which of the following quantities are directly proportional? Amount of candy you can buy and the price if the amount of money you spend is constant.
Answer:
Not directly proportional
Oh and can you give me brainliest