Because you want to set aside three months' worth of fixed expenses for an emergency fund, the sum saved each month comes to [tex]$416.70.[/tex]
What is interest?In mathematics, interest is the fee or payment made for using borrowed funds; it is typically stated as a percentage of the principal sum. Interest can be divided into two categories.
Simple Interest is computed solely using the principal of the debt or investment. I = PRT, where P is the capital, R is the interest rate per period, and T is the time period, is the formula for simple interest.
Given,
The monthly wage is [tex]$2,415.64[/tex] dollars.
After expenses, discretionary funds equal 54% of monthly revenue.
Fixed monthly expenses equal [tex](100–54%)%[/tex] of overall monthly income.
[tex]= 46%[/tex] of monthly gross revenue
[tex]= 0.46 × 2,415.64[/tex]
[tex]= $ 1,111.1944[/tex]
Thus, the fixed expenditures for three months equal three times the fixed expenses for one month.
[tex]= 3 × 1,110.5544 = $ 3331.6632[/tex]
This money will be conserved in 8 months, so
As a result, the monthly savings equal 1/8 of [tex]$ 3331.6632[/tex] .
[tex]= $ 416.6979 ≈ $ 416.70[/tex]
Therefore, Because you want to set aside three months' worth of fixed expenses for an emergency fund, the sum saved each month comes to [tex]$416.70[/tex] .
Learn more about interest here:
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The above question is incomplete, the complete question is given below:
Your realized income is $2,415.64/month, and 54% are discretionary monies. If you want to save 3 months of fixed expenses for an emergency fund, how much must you save each month to fund it in 8 months
need help can anyone help
Answer:
1: 23
2: 15/3 which reduces to 5
3: 12/4 which reduces to 3
Step-by-step explanation:
used a calculator
What is the circumcenter of ΔABC, if A(-7, 3); B(9, 3); and C(-7, -7)?
Answer: (1,-2)
Step-by-step explanation:
What’s this answer?
Answer:
175/24
Step-by-step explanation:
First change mixed fraction to improper fraction.
1¾= (1×4+3)/4
= 7/4
4⅙= (4×6+1)/6
= 25/6
now multiply the nominators (numbers on the top) and then the denominators (numbers on the bottom)
I.e
7/4 × 25/6
= 7×25/4×6
= 175/24
it cannot be further simplified so 175/24 is the answer.
There are 16 girls in the
class. This represents 20%
of the class. How many
total students are there
Answer:
80 total students
Step-by-step explanation:
hope this helps!
Answer:
80
Step-by-step explanation:
If 16 is %20 then it represents 1/5 of the class. Multiply 16 x 5 = 80
Find the hypotenuse round to the nearest hundredth
Answer:
8.94
Step-by-step explanation:
hypotenuse=h
h=4^2+8^2
h=16+64
h=80
h=√80
h=8.94
Answer:
Step-by-step explanation:
[tex]hypotenuse=\sqrt{4^2+8^2} =\sqrt{16+64} =\sqrt{80}\approx 8.94[/tex]
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
12y - 9x = -36
If you are researcher how would you make sure that the result or outcome of your study will be accurate and precise?
Answer:
Keep all variables (temperature, place, lighting, etc.) constant other than the variable being tested.
Do the test multiple times. The variations must be small.
keep everything calibrated (marked)
record measurement correctly with the correct units
Step-by-step explanation:
What type of triangle is a 30, 40, 50
Answer:
Pythagoras's Theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides. Actually a 30 , 40 , 50 triangle is just a scaled up 3 , 4 , 5 triangle, which is a well known right angled triangle
Step-by-step explanation:
please mark me as brainlist please
Which line has a slope of -3?
y= 4x + 3
y= 3x - 3
y=-3x+1
y=-2x - 3
Answer:
y= 4x + 3
Step-by-step explanation:
mark me brainliest!
The total remodeling budget for Central Square Tower is 1.5×106 dollars. The owners of the building have set aside 6×105 dollars for upgrading just the lobby. What percent of the budget will be spent on the lobby? Write your answer in standard form. Do not write exponents.
Answer:
40%
Step-by-step explanation:
assuming you actually mean 10^5 and 10^6, to find percentages you do
part/total x percent/100
you have (6x10^5/1.5x10^6) x (x/100)
cross multiply, and you have 6x10^7=1.5x10^6x
divide on both sides by 1.5x10^6
x=40
so the answer is 40%
The circumference of a circle is 7.5. What is it’s diameter?
Find the area of the missing square off of leg a if the area of one square is 369 and the area of another is 81.
A - 19.2
B - 144
C- 12
D- 288
Solution:
Note that:
Area of square = s² (s = Side length)Finding the leg of a square with area of 369 units²
c² = 369=> c = √369 unitsFinding the leg of a square with area of 81 units²
b² = 81=> b = √81 = 9 unitsFinding side length a using Pythagoras theorem
(√369)² = 9² + a²=> 369 = 81 + a²=> 369 - 81 = a²=> 288 = a²=> a = √288 = √144 x 2 = √12 x 12 x 2 = 12√2 unitsFinding the missing area of the square.
Area of square = a²=> Area of square = a² = (a)²=> Area of square = (12√2)²=> Area of square = (12√2)(12√2) = 288 units²Option D is correct.
please help me again I have 2 tries again please and explain, please
Answer:
8
Step-by-step explanation:
→ Find width of first painting
48 ÷ 6 = 8
→ Find length of second painting
64 ÷ 8 = 8
Which can be the first step in finding the equation of the line that passes through the points (5, negative 4) and (negative 1, 8) in slope-intercept form?
Calculate StartFraction 8 minus (negative 4) Over negative 1 minus 5 EndFraction = StartFraction 12 Over negative 6 EndFraction = negative 2..
Calculate StartFraction negative 1 minus 5 Over 8 minus (negative 4) EndFraction = StartFraction negative 6 Over 12 EndFraction = negative one-half..
Find that the point at which the line intersects with the line y = 0 is (3, 0).
Find that the point at which the line intersects with the line x = y is (2, 2).
Answer:
Step-by-step explanation:
its A :)
Answer= y=2x+6
The slope-intercept form of an equation of a line: y=mx+b
m - slope
b - y-intercept
We have the points (5, -4) and (-1, 8). Substitute:
m= [tex]\frac{8-(-4)}{-1-5}[/tex] =[tex]\frac{12}{-6}[/tex] =-2
Put the value of the slope and the coordinates of the point (5, -4) to the equation of a line,
-4=-2(5)+b
=-10+b
6=b
y=2x+6
9. Find the area of the figure.
What is the answer
Answer:
73.12 in.²
Step-by-step explanation:
The entire area is made up of a semicircle and a rectangle. We find both areas and add them.
total area = area of semicircle + area of rectangle
total area = (1/2)πr² + length × width
total area = 1/2 × 3.14 × 4 in. × 4 in. + 8 in. × 6 in.
total area = 73.12 in.²
ANSWER ASAP!!!! BRAINLIEST FOR THE PEOPLE WHO MAKE IT
Answer:
no idea
Step-by-step explanation:
Characteristics of Polynomials
Find the measure of arc RPQ.
Answer: 227 degrees
Step-by-step explanation:
What is the perimeter of a triangle with vertices at (2, 3) (4, -1) and (-1, -5)?
Answer:
Step-by-step explanation:
Britney is buying a shirt and a hat at the mall. The shirt costs $31.99, and the hat costs $19.89. If Britney gives the sales clerk $100.00, how much change should she receive? (Ignore sales tax.)
A. $45.02
B. $57.87
C. $48.12
D. $51.88
Answer:
C
Step-by-step explanation:
100-31.99-19.89=48.12
HELPPPP
F(x)=-x^2-3x+1
The quadratic function, f(x )or g(x) has the greater maximum value ??
Answer:
The quadratic function, f(x) has the greater value.
Step-by-step explanation:
The given function written to us is in standard form, meaning it is easy to graph this function.
Since this function is going to open down-ward, we start with negative numbers.
[tex]f(-1)=3\\[/tex]
Since 3 is a greater value than 2, which we can see is the maximum value of g(x) by viewing the graph, f(x) is greater.
Sarah has two sets of cards. The first set of 26 cards is labeled with all the letters of the English Language. The second set of 10 cards is numbered 0 through 9.
If Sarah draws one lettered card and one numbered card at random, what is the probability of her drawing a letter in her name and an odd number? (Enter answer as a reduced fraction).
Answer:
1/13
Step-by-step explanation:
Probability of Sarah drawing a letter in her name
= number of letters in her name: S, A, R and H / total number of letters
= 4/26
Probability of drawing an odd number
= odd numbers / total numbers
= 5/10
Combining the above, Probability of her drawing a letter in her name and an odd number = 4/26 * 5/10
= 1/13
Total Alphabetical cards Sarah has ⇢ 26
Total Letters Sarah's name has ⇢ 4
Probability of getting a card with one of the letter in her name ⇢ 4/26
Total numerical Cards Sarah has ⇢ 10
Total odd numbers in those cards⇢5
Probability of getting a card with an odd number⇢ 5/10
probability of her drawing a letter in her name and an odd number⇢ 4/26 x 5/10 = 1/13
Find the zeros of the function f (x) = 4x^2-16
Answer:
x=-2
x=2
Step-by-step explanation:
We can think of this equation like a statement
"4 times what squared minus sixteen is equal to zero"
First, we need to rearrange the equation:
[tex]4x^2=16[/tex]
Now using our common knowledge, we know that 4 times 4 is equal to 16
now we have another statement:
"x times x is going to be equal to 4"
*Remember that the two numbers have to be the same since x is squared*
Again, we can use common knowledge and say that 2x2 is equal to 4
This means that x=2
Now when you square a variable, the variable can have to values, a positive, and a negative value
So in this case, the other value for x would be x=-2 since -2 squared is also equal to 4
So we can come to a conclusion that
x=2
AND
x=-2
The there angles in a triangle ge in the ratio
of 2.4.6. Find the measure of
and hence state the type of triangle.
of each angle
Answer:
Step-by-step explanation:
Daina gives of his money to Carol. Carol gives of this money to Zak.
What fraction of Daina's money does Zak get?
Step-by-step explanation:
yo question doesn't make sense.
45:60 as its simplest form
Answer :
3/4.
Explanation
Find the GCD (or HCF) of numerator and denominator
GCD of 45 and 60 is 15
Divide both the numerator and denominator by the GCD
45 ÷ 15
60 ÷ 15
Reduced fraction: 3/4
Therefore, 45/60 simplified to lowest terms is 3/4.
Hi! I hope you are enjoying your day!
In order to simplify this ratio (and 45:60 is a ratio), we should divide both sides of the ratio by 5 (because both 45 and 60 are evenly divisible by 5)
Divide:
9:12
Is the ratio in its simplest form? No.
Why?
Because 9 and 12 can be divided by 3:
3:4
Now the ratio IS in its simplest form.
Hence, the answer is
[tex]\boxed{\boxed{\bold{3:4}}}[/tex]
Hope everything is clear.
If you have any questions, please comment.
#LearningIsFun
- 1/3(6x+18)=10
Help me find the answer before 7:40
Answer:
x = -8
Step-by-step explanation:
[tex]-\frac{1}{3}\left(6x+18\right)=10[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}-3[/tex]
[tex]\left(-\frac{1}{3}\left(6x+18\right)\right)\left(-3\right)=10\left(-3\right)[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]6x+18=-30[/tex]
[tex]\mathrm{Subtract\:}18\mathrm{\:from\:both\:sides}[/tex]
[tex]6x+18-18=-30-18[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]6x=-48[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}6[/tex]
[tex]\frac{6x}{6}=\frac{-48}{6}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x=-8[/tex]
~Learn with Lenvy~
Please help me!!!! Both questions! Find the GCFs:!!
Answer:
See below.
Step-by-step explanation:
28x^2yz and 16xy^2
GCF of 28 and 16: 4
GCF of x^2yz and xy^2: xy
The GCF is 4xy.
5x^2y^4, 10x^3y^5, and 15xy^2
GCF of 5, 10, and 15: 5
GCF of x^2y^4, x^3y^5, and xy^2: xy^2
The GCF is 5xy^2.
-hope it helps
Hi! Hope you're enjoying your day!
First of all, the G.C.F. stands for
Greatest Common Factor
So we need to find the Greatest Common Factor of the polynomials.
And yea, polynomials have Greatest Common Factors as well.
So, let's find all the Greatest Common Factors. :)
First, we have
[tex]\bold{28x^2yz}[/tex] and [tex]\bold{16xy^2}[/tex]
What are the common factors of these polynomials?
Well, there are plenty of them, like 2, 2x, y...
What is the Greatest Common factor?
Is it Option A, 12xy?
No, because neither 28 nor 16 is divisible by 12.
So we cross out Option A.
Is it Option B, 8xy?
No, because 28 isn't divisible by 8, and remember, if a number is evenly divisible by another number, then that number is a factor.
Example: 8 is a factor of 16 (16÷8=2); 8 is not a factor of 28, because
28÷8=3.5 (a decimal, not a whole number)
Is it Option C, 4xy?
Yeah, it seems like Option C is the right option.
[tex]\huge\checkmark[/tex]Both 28 and 16 are divisible by 4
[tex]\huge\checkmark[/tex]Both polynomials have an x and a y in them
[tex]\rule{250}{2}[/tex]
Find the GCF:
[tex]\bold{5x^2y^4,\:10x^3y^5, \:and\:15xy^2}[/tex]
Once again, is it Option A, 5x^3y^5?
No, because
✘ 5 and 10 aren't divisible by 3
✘ None of the 3 polynomials has a 3y term
In other words, Option A is wrong.
How about Option B?
You should see right off the bat that 5 and 15 aren't divisible by 10.
So now we have 2 options left.
Is it Option C, 5xy²?
Well,
✓All 3 polynomials are divisible by 5
✓ All 3 polynomials have a y² term
✓ All 3 polynomials have an x term.
Hence, the answers are
[tex]\boxed{\boxed{\bold{1. \;Option\;C; 2.\;Option\;C.}}}[/tex]
Hope everything is clear.
If you have any questions, please comment.
#LearningIsFun
[tex]\rule{200}{2}[/tex]
please help me ASAP please help me with my homework please solve this please both Problem A and B please I beg you
Answer:
A.
1. x = -5
2. x = -1
3. x = -2
4. x = 25/9
5. x = 1
B.
1. x ≤ 2
2. - 3≤ x ≤ 6
3. x ≤ 2
4. x ≤ 33/2
5. x ≤ 17/3
Step-by-step explanation:
Brainliest me please I answer it!!
A.
1. 5x + 12=2x-3
5x-2x= -12-33x/3= -15/3x = -52. 3x+6= -2x+1
3x+2x= -6+15x/5= -5/5x= -13. (x/2-4x=7)x2
2(x/2) - 2(4x)=7x2x-8x=14-7x/-7=14/-7x= -24. 1.4x - 0.4x=6.2+3.8
1x/1=10/1x=105. 5x-10+2x=7x+28-38
5x+7x-10=7x+28-3812x-10=7x+28-3812x-7x=28+10-385x=38-385x/5=0/5x=0B.
1. 2x/2 ≤ 4/2
x=22. 2x+3 > -3
2x+3< 15
x= -3x= 6X=(-3,6)3. 5x-4 >6
5x>6+45x/5 >10/5x >24. (2x./3+1/2>x-5)x6
6(2x/3)+6(1/2) > 6(x-5)4x+3 > 6x-304x-6x>-30-3-2x/-2 > -33/-2x< 33/25. 0.8+0.6x ≥4.2
0.6x≥4.2-0.80.6x/0.6 ≥3.4/0.6x= 5.666666667brainliest for free if you can solve this equation 3+5 +7 -6
Answer:
The answer is
→ 9
Step-by-step explanation:
[tex]3+5+7-6=9[/tex]
Therefore, 9 is your answer.