The sum of 2.25 and half a number is −4.
What is the number?
Enter your answer as a decimal in the box.
Answers
Answer:
K12 Answer
Step-by-step explanation:
The solution of the linear equation 2.25 + n / 2 = −4 will be −12.5.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The sum of 2.25 and half a number is −4.
Let 'n' be the number. Then the equation is given as,
2.25 + n / 2 = −4
Simplify the equation, then we have
2.25 + n / 2 = −4
n / 2 = − 4 − 2.25
n / 2 = −6.25
n = −12.5
The solution of the linear equation 2.25 + n / 2 = −4 will be −12.5.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
Related Questions
in what value of b makes y= 2x + b the same as y= 2x what does that value mean
Answers
Answer:
B = 0
Step-by-step explanation:
If you have y = 2x + b and are trying to get to y = 2x
Then just remove the B itself meaning it's value would be 0 so it is as if that variable was never in the actual equation.
Basing ourselves off of the formula "y = mx + b"
B = 0 would mean that the y-intercept of the line is 0
Answer:
0
Step-by-step explanation:
if y=2x and y=2x+b is the same then b must be 0.
If the simple interest on $2000 for 3 years is $300, then what is the interest rate?
Answers
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill &\$300\\ P=\textit{original amount deposited}\dotfill & \$2000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &3 \end{cases} \\\\\\ 300=(2000)(r)(3)\implies 300=6000r\implies \cfrac{300}{6000}=r \\\\\\ \cfrac{1}{20}=r\implies 0.05=r\implies \stackrel{\textit{converting to percent}}{100\cdot 0.05}\implies \stackrel{\%}{5}=r[/tex]
Can someone please help me on this one ?
You are considering different investment strategies to save for your retirement.
Option 1: You invest $50/ month at a rate of 3.5% APR compounded monthly for 35 years.
Option 2: You invest $150/ quarter at a rate of 4.15% APR compounded monthly for 35 years.
Option 3: You invest $4,000 at a rate of 5.5% APR compounded monthly for 35 years.
Complete the table below and answer the questions below it.
You may use this calculator http://www.mycalculators.com/ca/savecalcm.html to help you.
(Hint: The “Present Value” for options 1 and 2 is 0 while for option 3 it is $4,000.00. Also, the
top radio button in the Contributions box should be selected so that contributions are made at the beginning of the period.)
Table:
Option # | Contributions | Final Balance | Total Interest Earned
1
2
3
1) How did you calculate the contribution for each option? In which option would you
contribute the least?
2) Which option yielded the highest amount at the end of the 35 years and what was the basis of the plan?
3) What is the difference in the principal invested for the highest and lowest final
balances? What is the difference in the interest earned?
4) What plan would you recommend for the largest return on investment? (This means
the most interest for the least amount invested)
5) How does the differing interest rates in each option play into your recommendation?
I would appreciate full feedback! Thank you :)
Answers
Return on investment increases as the interest rate applied, the duration of investment, and the principal invested increases.
The responses are as follows;
1) Total contribution = Single contribution Value × Number of contributions2) Option 23) $-4,0004) Option 35) The higher interest rate increases the return on investmentReasons:
Option 1: Investment
The present value = 0
The contributions made = $50 monthly
APR of investment = 3.5%
Number of years of investment = 35 years
The contribution = $50 × 12 × 35 = $21,000
Future value (final balance) = $41,230.22
Interest Earned = $41,230.22 - $21,000 = $20,230.22
Option 2: Investment
The present value = 0
The contributions made = $150 per quarter
APR on investment = 4.15%
Number of years of investment = 35 years
The contribution = $150 × 4 × 35 = $21,000
Future value = $47,503.88
Interest Earned = $47,503.88 - $21,100
Option 3: Investment
Present value = $4,000
APR on investment = 5.5%
Number of years of investment = 35 years
The contribution = $4,000
Future value = $27,300.26
Interest Earned = $27,300.26 - $4,000 = $23,300.26
[tex]\begin{array}{|c|c|c|c|}Option \ number&Contributions&Total \ Interest \ Earned&Final \ Balance\\1&\$50&\$20,230.22&\$41,230.22\\2&\$150&\$26,403.88&\$47,503.88\\3& \$4,000 &\$23,300.26 &\$27,300.26 \end{array}\right][/tex]
1) The total contribution is given by the product of the monthly contribution and the number of timer units.
2) The option that yielded the highest amount at the end of 35 years is the option 2.
The basis of the plan is quarterly investment of $150 and an annual interest rate of 4.15% compounded monthly.
3) The principal with the highest final balance is the principal for Option 2. which is 0
The principal that has the lowest final balance is the principal for option 3 which is $4,000
The difference in the principal for the highest and lowest final balances is
$0 - $4,000 = $-4,000
4) The plan recommended for the largest return on investment is option 2, in which the amount invested increased by more than 600%
5) The higher the interest rate, the higher the return on the amount invested.
Learn more here:
https://brainly.com/question/4384761
Write 5/6% as a decimal number.
Answers
Answer: 5/6 as a decimal is 0.833
Step-by-step explanation:
just divide 5 by 6
Up arrow, right arrow, down arrow, left arrow, up arrow, right arrow, down arrow, left arrow. What's the conjecture
Answers
Answer:
The correct option is;
If one reflects a figure across the y-axis, the points of the image can be found using the pattern (x, y) Right-arrow (x, -y).
If one reflects a figure across the y-axis, the points of the image can be found using the pattern (x, y) Right-Arrow (-x, y).
Taking the result from the first reflection (x, -y) and applying the second mapping rule will result in (-x, -y), not (y, x), which reflection across the line y = x should give
Step-by-step explanation:
We have that for reflection across the x-axis, (x, y) → (x, -y)
For reflection across the y-axis, (x, y) → (-x, y)
Therefore, given that the pre-image before the reflection across the y-axis is (x, -y), we have;
For reflection across the y-axis, (x, -y) → (-x, -y)
For reflection across the line, y = x, gives (x, y) → (y, x) which is not the same as (-x, -y)
I need help with part a and b please
Answers
Answer:
The total answer should be 38 on the top
Step-by-step explanation:
a) So the first partial quotient would be equal to 30 as 31 x 30 = 930
b) Second partial quotient would be 8 as 31 x 8 = 248
Answer:
0
38
I hope it's help byeeee
A scientist needs 180 milliliters of a 20% acid solution for an experiment. The lab has available a 25% and a 10% solution. How many milliliters of the 25% solution and how many milliliters of the 10% solution should the scientist mix to make the 20% solution
Answers
9514 1404 393
Answer:
120 mL of 25% solution60 mL of 10% solutionStep-by-step explanation:
Let q represent the quantity of 25% solution in the mix. Then 180-q is the quantity of 10% solution. The quantity of acid in the mix is ...
0.10(180 -q) +0.25(q) = 0.20(180)
18 +0.15q = 36 . . . . simplify
0.15q = 18 . . . . . . . . subtract 18
q = 18/0.15 = 120 . . . . divide by the coefficient of q
180-q = 60
The scientist should mix 120 mL of 25% solution with 60 mL of 10% solution.
Given: D is the midpoint of AC, ED = FD, and angle EDA = angle FDC
Prove that: Triangle AED = Triangle CFD
Answers
Answer:
Step-by-step explanation:
Side-Angle-Side postulate (SAS)
There are ΔAED and ΔCFD triangles that are congruent due to the SAS congruence postulate.
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
As per the given question,
D is the midpoint of AC, ED = FD, and angle EDA = angle FDC
In ΔAED and ΔCFD,
Side DE = Side DF
m∠EDA = m∠FDC
Side AE= Side FC
According to SAS, two triangles are congruent if the two sides and the included angle of one triangle are equal to the corresponding sides and the included angle of the other triangle.
Thus, both triangles are congruent.
Hence, there are ΔAED and ΔCFD triangles that are congruent due to the SAS congruence postulate.
Learn more about congruent triangles here:
brainly.com/question/4364353
#SPJ2
what is the volume of the cone if the volume of the cylinder is 51L.
Answers
Answer:
17L
Step-by-step explanation:
Volume of cone = 1/3(Volume of cylinder )
= 1/3 * 51L
= 17L
A ruler 30 cm long is broken into two parts in the ratio 8:7. How long
are the two parts?
Answers
Answer:
Step-by-step explanation:
Length of each part of the ruler will be
8x and 7x
. Hence, 8x+7x=30 => 15x=30 =>x=2
Hence, the lengths will be
8x=8×2=16
7x=7×2=14
Greg received 3/8 of the votes cast for class secrectary. How many votes did he receive
Write your answer in simplest form
( show me how you got your answer like an explanation please Thanks! :)
Answers
Answer: 3/8
Step-by-step explanation: We don't know how many votes are there for the class secretary.
In right triangle EAD with right angle at A, AE=4 units, AB=BC=CD and the area of triangle ABE=6 sq units. What is the length of segment CE? Express your answer as a decimal to the nearest tenth.
Answers
Answer:
CE = 7.2
Step-by-step explanation:
Area = 1/2bh
6 = 1/2 (b)(4)
6 = 2b
3 = b b represent AB, so BC and CD is 3 unit also
Length of CE , you have a right triangle with a leg(AE) = 4 and and the other leg (AC) = 6 and the hypotenuse (CE) = x
The figure is a right triangle so you know that a² + b² = c²
4² + 6² = x²
16 + 36 = x²
52 = x²
[tex]\sqrt{52 }[/tex] = x
7.211 ≈ 7.2 = CE
Where do I put the parenthesis to make it true?
5 – 6w – 5 – 95 + 2w = –48w – 70
Answers
Answer:
i just stole your points thank you
Step-by-step explanation:
5 – 6w – 5 – 95 + 2w = –48w – 70
-6w + 2w + 48w = -70 -5 + 5 +95
44w = 25
w=25/44
A car travels at an average speed of 56 miles per hour how many miles does it travel in 5hrs and 30min
Answers
Answer:
308 miles
Step-by-step explanation:
speed * time = distance
56 * 5.5 = 308
308 miles
If you randomly select a card from a well-shuffled standard deck of 52 cards, determine the probability that the card you select is not a spade.
A. Write your answer as a simplified fraction.
B. Write your answer as a decimal, rounded to the nearest thousandth.
C. Write your answer as a percent. Round to the nearest tenth of a percent and don't forget to include a percent sign, %, in your answer.
Answers
Answer:
a. 1/13
b. 0.077
c. 7.7
Step-by-step explanation:
a. there are 4 of the 6 in a deck of cards so the probability of taking this cards from the deck of 52 cards is 4/52. Given you 1/13.
78 divided by 21?:-:
Answers
Answer:
3.7 or 3.71428571429
Step-by-step explanation:
:/
Answer:
3.714
Step-by-step explanation:
78/21 is 3.71428571429 but you can round that to 3.714
5. En el banco, Brent cambia $50 en billetes por
50 monedas de un dólar. La masa total de las
monedas pesa 405 gramos. Estima la masa de
1 moneda de un dólar.
Answers
Answer:
8.1 g
Step-by-step explanation:
405 g ÷ 50 = 405 ÷ (100/2) = 405 × 2/100 = 810/100 = 8.1
8.1 g
The simple interest charged on a 12-month loan of $82,000 is $631. Find the simple interest rate. (Round your answer to one decimal place.)
Answers
Step-by-step explanation:
631/82000×100
=0.8
MARK ME BRAINLIEST PLSS!
what is 250% of 5
please help
Answers
Answer:
12.5
Step-by-step explanation:
You can read this problem as ...
2.5 × 5 = 12.5
__
You can think of % as meaning /100. You can think of "of" as meaning "times". Then the expression
250% of 5
can be thought of as ...
250/100 × 5
= 1250/100 = 12.5
70=x+16? Show how to do
Answers
WHAT IS 159 DIVIDED BY 3 (ITS NOT HARD PLEASE ANSWER I DON'T HAVE A CACULATER)
Answers
Answer:
Step-by-step explanation:
The asked quotient of 159 divided by 3 is the number 51.
What is divide?It is the inverse of multiplication, and it is used to find out how many times one number can be divided by another. In mathematics, the division is an arithmetic operation that involves splitting a quantity into equal parts or groups.
Here,
As mentioned in the question, we have to determine the quotient of 159 divided by 3
So let the quotient be y,
y = 159/3
y = 51
Thus, the asked quotient of 159 divided by 3 is number 51.
Learn more about divide here:
https://brainly.com/question/15381501
#SPJ5
If AZ = 85 ZE=51 find Bc
Answers
85^2-51^2
=4624
Then we square root that to get…
68
BUT the answer is saying from b to c so we would have to multiply it by 2 to get…
136
7,433,654 rounded to the nearest 100
Answers
WILL GIVE BRAINLIEST
These two triangles are congruent by ....
O SSS
O SAS
O HL
O ASA
O AAS
O the triangles are NOT congruent
Answers
SAS postulate states that if two sides and one angle of the two triangles are congruent then the corresponding triangles are congruent.
These two triangles are congruent by SAS postulate
Proof
Statements Reasons
In ΔNHJ ↔ ΔKHJ
mHJ≅mHJ common to both Δs∠N≅∠K right anglesmHN≅mHK givenFrom 1,2, and 3 ΔNHJ ≅ ΔKHJ SAS≅SAS
For more explanation click
https://brainly.com/question/3999145
https://brainly.com/question/6422888
D. Directions: Write the equation for line in any form) for the following points
(0,4) and (-3,12)
Answers
Answer:
y = -8/3x + 4
Step-by-step explanation:
Find the value of y for the given value of x.
y = x/2 + 9;x = -12
Answers
Step-by-step explanation:
x = -12
y = x/2 + 9
y = -12/2 + 9
y = -6 + 9
y = 3
A sample in which each element in a population has a equal chance of being selected
Answers
Answer:
simple random sample
Step-by-step explanation:
I hope that's it
(-1/9) ÷ 6/7 =
Help
Me
Pls
:)
Answers
Answer:
I believe your answer is -7/54
Answer: -0.129
Step-by-step explanation:
given the quadratic function, find the x value of the vertex of y=x2=4x-8
Answers
Answer:
27x^2−9y^2=81
Which function has an inverse this is a function?
b(x)=x^2 + 2x
d(x)=-4x
m(x)=-3
p(x)=|x|
Answers
Answer :-
Option 2
Step by step explanation :-
d (x) = -4x has an inverse .
