Answer:
Future Value = $405,151.38
----------
FV = PV * (1 + R) ^ N
FV = $209,350 (1.045) ^ 15 = $405,151.38
----------
PV = $209,350
R = 4.5%
N = 15 years
Step-by-step explanation:
solve for x in 3( x+ 2)=2(x+2)
Answer:
-2
Step-by-step explanation:
3( x+ 2)=2(x+2)
=>3x+6=2x+4
=>3x-2x=4-6
=>x=-2
-2 is the value of x
Answer:
The answer is
x = - 2Step-by-step explanation:
3( x+ 2)=2(x+2)
First expand the terms in the bracket
That's
3x + 6 = 2x + 4
Group like terms
Send the constants to the right side of the equation and those with variables to the left side
3x - 2x = 4 - 6
Simplify
We have the final answer as
x = - 2Hope this helps you
If m∠JKM = 43, m∠MKL = (8 - 20), and m∠JKL = (10x - 11), find each measure.
1. x = ?
2. m∠MKL = ?
3. m∠DEF = ?
Correct Question: If m∠JKM = 43, m∠MKL = (8x - 20), and m∠JKL = (10x - 11), find each measure.
1. x = ?
2. m∠MKL = ?
3. m∠JKL = ?
Answer/Step-by-step explanation:
Given:
m<JKM = 43,
m<MKL = (8x - 20),
m<JKL = (10x - 11).
Required:
1. Value of x
2. m<MKL
3. m<JKL
Solution:
1. Value of x:
m<JKL = m<MKL + m<JKM (angle addition postulate)
Therefore:
[tex] (10x - 11) = (8x - 20) + 43 [/tex]
Solve for x
[tex] 10x - 11 = 8x - 20 + 43 [/tex]
[tex] 10x - 11 = 8x + 23 [/tex]
Subtract 8x from both sides
[tex] 10x - 11 - 8x = 8x + 23 - 8x [/tex]
[tex] 2x - 11 = 23 [/tex]
Add 11 to both sides
[tex] 2x - 11 + 11 = 23 + 11 [/tex]
[tex] 2x = 34 [/tex]
Divide both sides by 2
[tex] \frac{2x}{2} = \frac{34}{2} [/tex]
[tex] x = 17 [/tex]
2. m<MKL = 8x - 20
Plug in the value of x
m<MKL = 8(17) - 20 = 136 - 20 = 116°
3. m<JKL = 10x - 11
m<JKL = 10(17) - 11 = 170 - 11 = 159°
Which expression is equivalent to i^256?
-1
i
1
-i
Answer:
1
Step-by-step explanation:
i²⁵⁶ is the equivalent of (i²)¹²⁸.
(i²)¹²⁸ = (-1)¹²⁸ = 1.
Answer:
[tex]\Huge \boxed{1}[/tex]
Step-by-step explanation:
[tex]i^{256}[/tex]
[tex](i^4)^{64}[/tex]
Apply identity : [tex]i^4 =1[/tex]
[tex]1^{64}=1[/tex]
Jermaine paid $10 for an item and the shop owner gave him $2 in change. Which expression represents how much less he would have in his wallet?
Answer:
Should be 10- (-2) lemme know if im wrong
Step-by-step explanation:
The answer is 10-(-2)
what type OK f number is -0.5/-0.5
please help :) Write the number shown in standard notation. 5.29 x 10 to the 4th power A. 52,900 B. 5,290,000 C. 5,290 D. 529,000
Answer: Hi!
The equation given is 5.29 * 10^4.
First, we need to solve the exponent.
10^4 = 10,000
Next, we multiply 10,000 by 5.29.
10,000 * 5.29 = 52,900
Therefore, your answer is a), 52,900.
Hope this helps!
Answer:
A.
Step-by-step explanation:
It is 5.29 x 10,000
= 52,900.
help really quick .
Answer:2y
Step-by-step explanation:
!!!
Answer:
Answer: h(x) = 1/5x
Step-by-step explanation:
6x + y = 4x + 11y
-y -y
6x = 4x + 10y
-4x -4x
2x = 10y
÷10 ÷10
1/5x = y
Since "y" represents h(x), then h(x) =
what other answers are correct?
2 answers:
B) integer
C) Rational
=========================
The original expression simplifies to -4 which is part of the set of integers {..., -3, -2, -1, 0, 1, 2, 3, ...}
We can write -4 as a fraction of two integers -4 = -4/1, so it is also a rational number.
Because it's rational, it cannot be irrational.
The set of whole numbers is {0, 1, 2, 3, ...} which doesn't involve negative values. If you want to include negative values, then use the set of integers.
Larry pickett earns 6% commission On all sales he also received a $700 bonuses if his commission exceeds $3000 hIs total sales were 65500 what was Total pay
Answer:
His total pay= $4,630
Step-by-step explanation:
Larry pickett earns:
commission=6% on all sales
He also received a $700 bonuses if his commission exceeds $3000
His total sales were 65500 what was Total pay
Commission= 6% of all sales $65,500
=6/100 × 65,500
=0.06 × 65,500
=3,930
His commission =$3,930
His commission exceeds $3000
Therefore,
His Total pay= Commission + bonus of $700 if his commission exceeds $3,000
=3,930 + 700
=4,630
His total pay= $4,630
2 x square + 5 x - 3 = 0
help please
will give brainlest to the first answer
thank you
need the answer asap
Your question has been heard loud and clear.
2x^2+5x-3=0
Splitting the middle term (5x) we get , -1x+6x
So , 2x^2-1x+6x-3=0
2x^2-1x+6x-3=0
(2x^2-1x)+(6x-3)=0
taking common factor from(2x^2-1x) which is x and taking common factor from (6x-3) which is 3 , we get
x(2x-1)+3(2x-1)=0
So , solution that we get is
(x+3) and (2x-1)
Thank you.
Step-by-step explanation:
2x^2+5x-3=0.
which will be 2x^2+2x+3x-3=0.
2x(x+1)+3(x+1)=0.
2x+3=0,x+1=0.
x=-3/2,x=-1..
I hope this helps but please recheck the question especially 5x is it +5x or -5x.....Thank you for the question
Heights of certain plants at a nursery are normally distributed with a mean of 52.5 centimeters and a standard deviation of 7.2 centimeters. If their z-scores are greater than 2.25, the plants are displayed in the main lobby. To the nearest centimeter, what is the minimum required height for this type of plant to be displayed in the main lobby? Question 7 options: 68 cm 55 cm 69 cm 56 cm
Answer:
The correct option is;
69 cm
Step-by-step explanation:
The z-score, or standard score is a measure of how far a data is from the mean
The z-score, is given by the relation;
[tex]z = \dfrac{x- \mu}{\sigma}[/tex]
Z = Standard score
x = Value observed
μ = The mean height of the plants = 52.5 cm
σ = Standard deviation = 7.2 cm
Given that the z-score = 2.25, we have;
[tex]2.25 = \dfrac{x- 52.5}{7.2}[/tex]
Therefore, x = 7.2 × 2.25 + 52.5 = 68.7 cm ≈ 69 cm
Therefore, the minimum required height for this type of plant to be displayed in the main lobby is 69 cm.
Select the domain and the range of the function as an inequality, using set notation, and using interval notation. Also select the end behavior of the function or complete the explanation why there is no end behavior. The graph of the quadratic function f(x) = 3x2 + 2 is shown.
The domain is the input value of x, which can be any real number.
There is no inequality.
Set notation x | E R. ( all real nUmbers)
Interval. Oration (-infinity, infinity)
Range: set x to 0 and solve:
3(0)^2 + 2 = 2
The lowest value is 2 and goes to infinity.
Inequality is >=
Set notation Y | >= 2
Interval notation : [2, infinity)
End behavior they both go to infinity .
Which number is not written in scientific notation
Answer:
D. 15x10^20
Step-by-step explanation:
The rule for scientific notation is that the coefficient has to be between 1 and less than 10. This means there is only one digit in front of the decimal. 15x10^20 should be written as 1.5x10^21 to follow the rule.
Answer:
Hey there!
e15 times 10^20 isn't written in scientific notation. For a number to be in scientific notation, the leading number must be between 1 and 10.
Let me know if this helps :)
can u help me i cant solve
Answer:
Reflect over the X-axis, then translate (x+6, y+3)A class had 6 students absent one Monday, This was of
the entire class. How many students were present that day?
Please help.
Step-by-step explanation:
la 6 es la mejor rspuesta
Which table has a constant of proportionality between y and x of 0.9? HELLO SOMEONE PLZ HELP this all depends on me on getting a phone plz help
Answer:
B
Step-by-step explanation:
seeing input/ output boxes= function
y is proportional to some constant (k)(constant of proportionality) times x
y=kx
y=0.9(x)
plug and chug...
4(.9)=3.6
6(.9)= 5.4
12(.9)= 10.8
Can you help me with this maths q please?
Answer:
See below
Step-by-step explanation:
a) line marked a is tangent
b) line marked b is radius
c) line marked c is diameter
d) line marked d is chord
X is all the following except
a term
a variable
a constant
an expression
Answer: a constant
Step-by-step explanation:
A constant is a numerical expression like 2, 0,78 etc .
A variable is a alphabetical expression that vary like a,b,c,d,x,y,z.
An expression can consists of both numerical and alphabets and also any arithmetic expression like x, 2abc, 6a+2c etc
A term consist of either numbers and variables multiplied together or only numbers or variable like 2xy, x, 2ab etc.
X is all (a term, a variable , an expression) except a constant because a constant is a numerical expression.
Answer: D, a constant
Step-by-step explanation: A constant is an expression without variables.
What is the answer to the main problem
Answer:
x-int: (3, 0)
y-int: (0, -1.5)
Step-by-step explanation:
x-intercept is the x-value when y = 0
y-intercept is the y-value when x = 0
Step 1: Find x-intercept
0 = (x - 3)/2
0 = x - 3
x = 3
(3, 0)
Step 2: Find y-intercept
y = (0 - 3)/2
y = -3/2
(0, -1.5)
Please help me, what I need help on is in the picture. (Geometry)
Answer:
34°
Step-by-step explanation:
5x+4+5x-1=73
10x+3=73
10x=73-3
10x=70
x=7
m<ABC=5x-1=5(7)-1=35-1=34°
How does the value of the digit 2 in the number 32000 compare with the value of the digit 2 in the number 26000
Answer
the second value is ten times higher then the refference one
Hope it helped u if yes mark me BRAINLIEST!
Tysm!
Answer:
2 in 32000 is in the thousands place
2 in 26000 is in the ten thousands place
Step-by-step explanation:
Simply the following radical expressions completely. Use the radical symbol in the equation editor to enter your response.
2✔️48
Answer:
[tex]\huge \boxed{8\sqrt{3}}[/tex]
Step-by-step explanation:
[tex]2\sqrt{48}[/tex]
Simplify [tex]\sqrt{48}[/tex].
[tex]2\sqrt{16} \sqrt{3}[/tex]
[tex]\sqrt{16}=4[/tex]
[tex]2 \times 4\sqrt{3}[/tex]
Apply rule : [tex]a \times b\sqrt{c} =ab\sqrt{c}[/tex]
[tex]8\sqrt{3}[/tex]
One cleaning solution uses 1 part vinegar with 2 parts water. Other cleaning solution uses 2 parts vinegar with 3 parts water. A student says that this represents a proportional relationship because, in each solution, there is one more part of water than vinegar. What is the error and correct it.
Answer:
Linear relationship.
Step-by-step explanation:
Given that:
Cleansing solution 1 uses 1 part of vinegar with 2 parts water.
Ratio of vinegar to water = 1:2
Cleansing solution 2 uses 2 part of vinegar with 3 parts water.
Ratio of vinegar to water = 2:3
As per a student, the relationship is proportional.
First of all, let us learn about a proportional relationship.
A proportional relationship is the relationship in which the ratios are equal.
OR
In other words, one variable is always a constant value times higher than the other variable.
Here, we have the ratios as 1:2 and 2:3.
One ratio is 0.5 and other ratio is 0.67 which are not equal.
So, it is not proportional relationship.
As we see there is difference of 1 in each ratio.
i.e. Difference in First solution = 2 - 1 = 1
Difference in Second solution = 3 - 2 = 1
So, there is only a constant value change([tex]y = x+c[/tex]) in the other variable when one variable changes by 1.
So, it can be called Linear relationship and this constant is 1.
The equation can be represented as.
[tex]y = x+1[/tex]
where [tex]y[/tex] represents the parts of water in the solution and
[tex]x[/tex] represents the parts of vinegar in the solution.
Help! Please simplify: 0.2(3a−1)+0.3−0.6 Thank you!
Answer:
0.6a - 0.5
Step-by-step explanation:
We can expand 0.2(3a - 1) and evaluate 0.3-0.6, getting 0.6a - 0.2 - 0.3.
We can then simplify this expression, getting 0.6a - 0.5.
(Image) Use Pythagorean Theorem to find the length of the missing side of this right triangle to the nearest tenth.
Answer:
The missing side is 10.25
Step-by-step explanation:
Step 1: Use Pythagorean Theorem
[tex]11^{2} = 3.9^{2} + x^{2} \\121 = 15.21 + x^{2}\\121 - 15.21 = x^{2} \\105.79 = x^{2} \\\sqrt{105.79} = \sqrt{x^{2} } \\x = 10.285[/tex]
Therefore the missing side is 10.285
You purchase a 189-day, $1000 U.S. Treasury bill at 4.19% discount. On the date of maturity, you will receive $1000. How much interest does the U.S. Government pay to you on the date of maturity?
Answer:
The government paid an interest of $41.9, which is 4.19%
Step-by-step explanation:
Given the 189-day, $1,000 U.S Treasury bill is purchased at a discount of 4.19%, this means that:
It was purchased at a discount of:
4.19% of $1000
= (4.19/100) × 1000
= $41.9
Purchase price = $1000 - $41.9 = $958.1
Because the treasure is sold for $1000 on maturity day, that means the government paid an interest of $41.9, which is 4.19%
Which of the following options best represents the modulus of the fifth roots of √5 + 2i?
[tex]\sqrt[5]{3}[/tex]
[tex]\sqrt[3]{5}[/tex]
[tex]\sqrt[5]{2}[/tex]
[tex]\sqrt[5]{5}[/tex]
Answer:
the answer should be c
you move the 5 to the radical then put the 2 i under it then get rid of the i
Step-by-step explanation:
Use trig ratios to find the measure of the angle in this triangle. A .cos^-1(4/5) B. tan(4/5) tan^-1(4/5) C. sin(4/5) D. cos(4/5) E. sin^-1(4/5)
Answer:
The answer is A
Step-by-step explanation:
Step 1: Use Cosine to find ∅
Cos∅=[tex]\frac{4}{5}[/tex]
∅=Cos[tex]^{-1}[/tex]([tex]\frac{4}{5}[/tex])
Therefore the answer is A
What value of x will make each equation below true? 4x-1=4x+7
Answer:
It will have no solution.
Step-by-step explanation:
If this will be solved algebrically , then the the variables will get cancelled .... If this will be solved graphically , then the graphs of both eqns will be parallel to each other....
Answer:
there is no solution
Step-by-step explanation:
4x-1=4x+7
4x - 1 - 4x = 4x + 7 - 4x
-1 = 7
there is no solution .
A calculator company plans to sell two models of graphing calculators that cost $100 and $150, respectively. The $100 model yields a profit of $40 and the $150 model yields a profit of $50. The company estimates that the total monthly demand will not exceed 250 units. What are the number of units of each model should be stocked in in order to maximize profit, assuming that the merchant does not want to invest more than $30,000 in inventory?
Answer:
The quantity of the first model is 150 and the second model is 100 that maximize the profit.
Step-by-step explanation:
Let the quantity of first model = x
Let the quantity of second model = y
The cost of the first model = $100
The cost of the second model = $150
Total number of models = 250 units
Total amount to spend on units = $30000
Now form the equations.
x + y = 250
100x + 150y = 30000
Now solve for the x and y.
x = 250 – y
Now insert this value in the 100x + 150y = 30000.
100(250 –y) + 150y = 30000
25000 – 100y + 150y = 30000
50y = 30000 – 25000
50y = 5000
Y = 100
Now insert the Y in x + y = 250
x = 250 – y
x = 250 – 100
x = 150
Therefore, the first model is 150 units and the second model is 100 units that maximize the profit.