Answer:
n = -1 n = -7
Step-by-step explanation:
5| 2n+8| +3 = 33
Subtract 3 from each side
5| 2n+8| +3-3 = 33-3
5| 2n+8| = 30
Divide by 5
5/5| 2n+8| = 30/5
| 2n+8| = 6
An absolute value equation has two solutions, one positive and one negative
2n+8 = 6 2n+8 = -6
Subtract 8 from each side
2n+8-8=6-8 2n+8-8 = -6-8
2n = -2 2n = -14
Divide by 2
2n/2 = -2/2 2n/2 = -14/2
n = -1 n = -7
Luke received an inheritance of $15000 that he divided into three parts and invested in three ways: in a money-market (x) fund paying 4% annual interest;in municipal bonds (y) paying 3.5% annual interest; and in mutual funds (z) paying 8% annual interest. Luke invested twice in mutual funds than in money-market fund. He earned $845 in interest the first year. How much did Luke invest in each type of fund?
Answer:
Kindly check explanation
Step-by-step explanation:
Total principal invested = $15000
Investment x at 4% (0.04)
Investment y at 3.5% = 0.035
Investment z at 8% = 0.08
z investment = 2x
Total interest earned = $845
Simple interest = principal * rate * time
y * 0.035 + x * 0.04 + 2x * 0.08 = 845
0.035y + 0.2x = 845 - - - (1)
y + x + 2x = 15000
3x + y = 15000 - - - - (2)
y = 15000 - 3x
0.035(15000 - 3x) + 0.2x = 845
525 - 0.105x + 0.2x = 845
525 + 0.095x = 845
0.095x = 845 - 525
0.095x = 320
x = 320/0.095
x = 3368.42
Z = 2x
Z = 2 * 3368.42 = $6736.84
y = 15000 - 3(3368.42)
y = $4894.74
what other properties do we use to rewrite expressions and equations
Answer:
The commutative, associative, and distributive properties help you rewrite a complicated algebraic expression into one that is easier to deal with. When you rewrite an expression by a commutative property, you change the order of the numbers being added or multiplied.
Step-by-step explanation:
Commutative, Associative and Distributive properties do we use to rewrite expressions and equations.
What is Expression?An expression is combination of variables, numbers and operators.
The properties we use to rewrite expressions and equations are
The commutative
Associative, and
distributive properties
These properties help to rewrite a complicated algebraic expression into simpler form.
When you rewrite an expression by a commutative property, you change the order of the numbers being added or multiplied.
Hence, Commutative, Associative and Distributive properties do we use to rewrite expressions and equations.
To learn more on Expressions click:
https://brainly.com/question/14083225
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help graphs are not my favorite
Answer:
d
Step-by-step explanation:
What is the slope of the line that passes through the points (0,0) and (6,0)?
Slope =

Answer:
0
Step-by-step explanation:
it has a zero slope
0,0
6,0
0-0=0
6-0=6
0/6 is 0
The wood framing cost $4.82 per foot. How much the framing cost for a rectangular picture that measures 3 f t by 5 f t?
help me pleaseeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
neither
Step-by-step explanation:
Answer:
(c)
Step-by-step explanation:
If these are
Parallel, slope of both the lines is same.
Perpendicular, if they are -ve reciprocal of each other.
In y = mx + c, slope is m.
Compare,
Slope of y=4x+1, is 4.
of 8y-16=2x is 2/8 = 1/4, which is reciprocal of 4,but not -ve.
So it is neither ll nor perpendicular.
In 2001, gold was priced at (0.5x + 300) dollars per ounce. Its price tripled in 2008 and then doubled in 2011. In 2016, its price dropped to 2 3of the price in 2011.• Write an expression for the price of gold per ounce in 2016.• Explain how you found the expression. Write your expression and explanation in the space below
Given:
Price of gold in 2001 = (0.5x+300)
Its price tripled in 2008 and then doubled in 2011. In 2016, its price dropped to [tex]\dfrac{2}{3}[/tex] of the price in 2011.
To find:
An expression for the price of gold per ounce in 2016.
Solution:
We have,
Price of gold in 2001 [tex]= (0.5x+300)[/tex]
Its price tripled in 2008.
Price of gold in 2008 [tex]= 3(0.5x+300)[/tex]
Then doubled in 2011.
Price of gold in 2011 [tex]= 2\times 3(0.5x+300)[/tex]
In 2016, its price dropped to [tex]\dfrac{2}{3}[/tex] of the price in 2011.
Price of gold in 2016 [tex]=\dfrac{2}{3}\times 2\times 3(0.5x+300)[/tex]
[tex]=2\times 2(0.5x+300)[/tex]
[tex]=4(0.5x+300)[/tex]
[tex]=4(0.5x)+4(300)[/tex]
[tex]=2x+1200[/tex]
Therefore, the required expression for the price of gold per ounce is (2x+1200).
How many real solutions are in the equation 8-4x=0
please help!! It’s for geometry!!
Answer:
1. SAS
2. SSS
3. SAS
4. SAS
5. SSS
6. SSS
7. SAS
8. SSS
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
Brainliest to the correct answer ( Evaluate 7 - 5p + 3q when p = 1 and a = 7.)
Answer:
23
Step-by-step explanation:
7 - 5p + 3a
7 - 5(1) + 3(7)
7 - 5 + 21
2 + 21
23
Hay dos números naturales consecutivos y la suma del cuadrado de esos números es 221¿cuáles serán esos números?
A 42-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third piece is Two inches more than seven times the length of the first piece. Find the lengths of the pieces.
Answer:
4, 8, 30
Step-by-step explanation:
Let's call the first piece x. If the first piece is x, then the second piece is 2x and the third piece is 7x + 2.
Equation:
x + 2x + 7x + 2 = 42
10x + 2 = 42
10x = 40
x = 4
The First piece is 4 inches
Now all we do is substitute the x for 4. Therefore, the second piece is 8 inches and the third piece is 30.
Hope this helps!!!
PLEASE HELP AND QUICK!!!
Answer:
A
Step-by-step explanation:
dude trust me
Erica and 4 friends are going out for pizza for dinner. They split one pizza and 5 small drinks. The pizza costs $13.00. They spend a total of $20.50. Find the cost of one small drink. Define the variable, write and solve an equation, and answer the question.
to find the cost of a small drink, you might want to:
subtract the decimalstotal cost : $20.50
cost of pizza :$13.00.
cost of one small drink : total cost - cost of pizza
: $20.50 - $13.00.
: 20.50
- 13.00
: 07. 50
: $ 7.50
(3 + zi) (3 + 4i) - (3 + zi) (3 - 2i)
Express in simplest a+bi form
Answer:
Step-by-step explanation:
9+12i+3zi+4zi²-(9-6i+3zi-2zi²)
= 9+12i+3zi+4zi²-9+6i-3zi+2zi²
= 18i+6zi²
= i(18+6zi) or 6i(3+zi)
i hope this is the anwer you're looking for
Use the distributive property to rewrite the following expression.
2(n - 6) + 4
Pls I need this in 5 min!!
Answer:
2n - 12 + 4
Step-by-step explanation:
Distribute 2 across the n+6, get 2 x n and get 2n, and 2 x -6 = -12
u need this m8, good day
Pampered Pooch charged $10 for 2 hours of doggie daycare and $20 for 4 hours. What is the unit rate? Show your work.
Answer:
$5
Step-by-step explanation:
1=$5 so 2 hours = 10 SO 4hours ×$5= $20
Answer:
$5 per hour
Step-by-step explanation:
hope this helps :D
cheers man
Alright then! First question!
A graph has height (inches) on the x-axis and arm span (inches) on the y-axis. Points are at (30, 27), (45, 45), (53, 50), (60, 60), (67, 70), and (73, 72).
Identify if there is a relationship between the variables.
(A) No, there is no relationship because the points are all up and down.
(B) Yes, the relationship displayed shows arm span increasing as height increases.
(C) Yes, the relationship displayed shows arm span decreasing as height increases.
Answer:
hmmm...i wanna go with B
Step-by-step explanation:
because it goes from 30 to 45 and 45 and 45 to 53 to 50 then the 50 goes 60 meaning their both increasing as it it goes on
at least i believe im right haha hope this helped if its not to late
Answer: The answer is (B) Yes, the relationship displayed shows arm span increasing as height increases.
Step-by-step explanation: I got the answer correct hope this helps!
20 POINTS AND BRAINLIEST
The height (in inches) of a candle, h(t), is modeled by the function h(t) = 8 - t, where t is the amount of time the candle has been burning. What is the meaning of the y-
intercept of the graph of the function?
A. The amount of time the candle has been burning
B. The height of the candle when it starts to burn
C. The maximum amount of time the candle can burn
D. The height of the candle after it is finished
Answer:B.the height of the candle when it starts to burn
Step-by-step explanation:
The y - intercept is 8. It represents the height of the candle when it starts to burn.
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
We have the height (in inches) of a candle, h(t), is modeled by the function h(t) = 8 - t, where t is the amount of time the candle has been burning.
We have -
h(t) = - t + 8
h(t) = - t + 8
Here, the y - intercept is 8. It represents the height of the candle when it starts to burn.
Therefore, the y - intercept is 8. It represents the height of the candle when it starts to burn.
To solve more questions on straight lines, visit the link below-
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A certain star is 5.2 x 10^2 light years from the Earth. One light year is about 5.9 x 10^12 miles. How
far from the earth (in miles) is the star?
the correct answer is 5.89999999948*10^12
I really need help hurry
Answer:
the answer is A. {-1, 1, 3}
Step-by-step explanation:
pls help answer question in picture
Step-by-step explanation:
2 1/3
=2*3+1/3
=7/3
1. If 18 zombies eat 45 brains, then how many brains will 4 zombies eat?
brains
0
2. A machine can make 246 bolts in 6 minutes. If you run the machine for 33
minutes, how many bolts can it make?
T
14-
ol
C
3. You can buy 78 paper clips for a dollar. How much would it cost to buy 351
paper clips
9
8
4. A math teacher can make 45 students cry in 180 days. At this rate, how days
would it take to make 50 students cry?
What??? what is this?
Answer:
1. 180 brains
Step-by-step explanation:
A scared tarantula was able to go a distance of 20 meters in 6 seconds. What was its
average speed?
Answer:
3.33 m/s
Step-by-step explanation:
speed = [tex]\frac{meters}{seconds} > \frac{20}{6} = 3.33[/tex]
7) Write an equation in point-slope form of the line
through point J(-2,10) with slope - 2
Answer:
y=-2x+6
Step-by-step explanation:
y=mx+b
10=(-2)(-2)+b
10=4+b
10-4=b
6=b
The diameter of a circle is 9 ft. Find its area to the nearest tenth.
Step-by-step explanation:
D=9
A=pie*radius^2
=3.14*9/2*9/2
=63.58
=64
4x - 3 = 6x + 9 looking for variable
Answer:
x=-6
Step-by-step explanation:
Add 3 on both sides and subtract 6 on both sides.
This gives you -2x=12
Divide -2 on both sides
this gives you -6.
x=-6
[tex] \huge{\red{\boxed{\sf{x = - 6}}}}[/tex]
Step By Step Explanation:
Step 1:
→[tex]4x - 3 = 6x + 9[/tex]
Step 2:
→[tex]4x - 6x = 9 + 3[/tex]
Step 3:
→[tex] - 2x = 12[/tex]
Step 4:
→[tex]x = \frac{12}{ - 2} [/tex]
Step 5:
→[tex]\green{x = - 6}[/tex]
verification:
Step 1:
⇝[tex]4( - 6) - 3 = 6( - 6) + 9[/tex]
Step 2:
⇝[tex] - 24 - 3 = - 36 + 9[/tex]
Step 3:
⇝[tex] - 27 = −27[/tex]
[tex]\huge{ \boxed{\sf{‡hence\: vertified‡}}}[/tex]
(5b+6)°
(4b-6)°
answer B=
Answer:
B = 10
Step-by-step explanation:
5B + 6 + 4B - 6 = 90
9B + 0 = 90
Therefore, B = 10
PLEASE HELP FAST. WILL MARK AS BRAINLIEST IF GIVEN GOOD ANSWER
Answer:y=9
Step-by-step explanation:
15 points!!!
4x^2 -20x +25≥0
Answer:
x ≥ [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
Given equation:
4x² -20x + 25≥0
To solve for x, we simply factorize the equation;
We should find two numbers whose sum = -20 and product is 100
These two numbers are -10 and -10
So;
4x² - 10x - 10x + 25 ≥ 0
factorize;
2x(2x - 5) - 5(2x - 5) ≥ 0
(2x - 5) (2x - 5) ≥ 0
So;
2x - 5 ≥ 0
2x ≥ 5
x ≥ [tex]\frac{5}{2}[/tex]