What Lewis did wrong was that; He budgeted more than the maximum recommended amount of money for transportation.
How to budget effectively?
We are given;
Net spendable income = $2,000 per month
Now, we see how much he has budgeted for other items such as Car payments, Gas/Oil, Insurance, License/Registration, Taxes, Maintenance/Repair.
Now, from the recommended transportation budget of between 15% - 20% of the net spendable income, we can see that he would likely spend more than that if we add the cost of maintenance and repair.
Thus, what Lewis did wrong was that he budgeted more than the maximum recommended amount of money for transportation.
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Answer:
Step-by-step explanation:
Answer:
A. He budgeted more than the maximum recommended amount of money for transportation. PLATO (Im 100% sure
Which expressions are equivalent to the one below? Check all that apply.
In (e^2)
Possible Answers Below:
A.)2•In e
B.) 2
C.) 2e
D.) 1
Answer:
a and b
Step-by-step explanation: you can move the exponent to the front and lne is also equal to one times 2 = 2
all natural numbers (N) are integers (Z), but not all integers are natural numbers true or false
True. All natural numbers N are integers Z, but not all integers are natural numbers.
Natural numbers:
Natural numbers starts from zero to infinity are all positive.All the natural numbers are whole numbers.It is denoted by NThe set of natural numbers are N = 1,2,3, ...Integers:
Integers are the whole numbers that contain positive numbers, zero and negative numbersIt is denoted by ZThe set of integers are Z = ... ,-3,-2,-1,0,1,2,3, ...Since natural numbers are all positive, N is positive integers but not all integers are natural numbers.
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Simplify the expression
-17.8a-2.4a+25-19.5
Answer:
-20.2a+5.5
subtract the values with a in it and the ones without the a together.
Help please I'll mark you as brainlist if the answer is correct
if (x + q) is a factor of two polynomials x2 + px + q and x2 + mx + n, then prove that a = n-q m-p
If (x + q) is factor of two polynomial [tex]x^2+px+q[/tex] and [tex]x^2+mx+n[/tex] than [tex]a = \frac{n - q}{m- p}[/tex].
x + a is factor of equations [tex]x^2+px+q[/tex] and [tex]x^2+mx+n[/tex]
What is a polynomial equation?Polynomial equation is equation of independent variables.
Putting it in both the equations
[tex]x^2+px+q=0[/tex]
[tex](-a)^2+p(-a)+q=0\\a^2-ap+q=0 ........(1)[/tex]
[tex]x^2+mx=n = 0\\(-a)^2+m(-a)+n=0\\a^2-am+n=0 .....(2)[/tex]
subtracting (2) from (1)
[tex]-am+ap+n-q=0[/tex]
[tex]a=\frac{n-q}{m-p}[/tex]
Thus, the required expression is [tex]a=\frac{n-q}{m-p}[/tex].
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I need more help I'm lazy (img included)
Answer:
B)20
Step-by-step explanation:
convert 900in to ft=75
1500/75=20boxes
If the nth term of a sequence is 18-8n what is the 8th term
Answer:
[tex]a_{n} =18-8n\\a_{8} =18-8(8)=-46[/tex]
Answer:
-46
Step-by-step explanation:
(hello, I just answered your previous question--some stuff will sound similar because we are applying the same concept :) )
We know that the nth term of the sequence is 18 - 8n
the "nth" term of a sequence means that you can plug in the term place to get the term value (ex. if the nth term is n + 2, we can plug any term in {let's say, the eighth term, 8 + 2 = 10 ; to get our term's value} )
18 - 8n is sequence
18 - 8(8) is 8th term
18 - 64 is 8th term
-46 is the 8th term
hope this helps!! :)
Use the compound interest formulas A=P1+
r
nnt and A=Pert to solve the problem given. Round answers to the nearest cent.
Find the accumulated value of an investment of $25,000 for 3 years at an interest rate of 7% if the money is a. compounded semiannually; b. compounded quarterly; c. compounded monthly; d. compounded continuously.
The accumulated value of an investment if the money is a. compounded semiannually; b. compounded quarterly; c. compounded monthly; d. compounded continuously is $30731.4 $ , $30785.98 $30823.14 , 30841.95
What is Interest ?Interest is the amount received by a person as a result of investing certain amount of money for a certain period of time.
It is given that
Principal = $ 25000
Time = 3 years
Interest Rate = 7 %
The amount is given by
[tex]\rm A = P( 1+ \dfrac{r}{n}) ^{nt}[/tex]
Compounded semiannually
n = 2
Compounded Quarterly
n = 4
Compounded Monthly
n =12
Compounded Continuously
P = P₀ [tex]\rm e ^{rt}[/tex]
Therefore the accumulated value for
compounded Semiannually is
[tex]\rm A = 25000( 1+ \dfrac{7}{200}) ^{2*3}[/tex]
A = $30731.4
Compounded Quarterly
[tex]\rm A = 25000( 1+ \dfrac{7}{400}) ^{4*3}[/tex]
A = $30785.98
Compounded Monthly
[tex]\rm A = 25000( 1+ \dfrac{7}{1200}) ^{12*3}[/tex]
A = $30823.14
Compounded Continuously
[tex]\rm P = 25000 e ^{ 7 * 3 }[/tex]
P = $30841.95
Therefore the accumulated value of an investment if the money is
a. compounded semiannually; b. compounded quarterly; c. compounded monthly; d. compounded continuously is
$30731.4 $ , $30785.98 $30823.14 , 30841.95
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The drama teacher wants to know whether more families of students at the school would attend a musical or a comedy.
Which of the following survey methods will allow the drama teacher to make a valid conclusion about which genre of performance more families would attend?
Choose 1 answer:
Choose 1 answer:
To determine whether more families of students at the school would attend a musical or a comedy , she should Assign a number to each family, use a computer program to select 20 random numbers , Option A is the right answer.
What are different survey methods ?Some of the survey methods are Online Survey , Telephonic survey , Kiosk Survey , Face to Face Survey etc.
It is given that there are n number of families ,
To determine whether more families of students at the school would attend a musical or a comedy.
To do so she has to do random sampling from the group of families.
So , she should Assign a number to each family, use a computer program to select 20 random numbers.
Therefore Option A is the right answer.
The complete question is
The drama teacher wants to know whether more families of students at the school would attend a musical
or a comedy.
Which of the following survey methods will allow the drama teacher to make a valid conclusion about
which genre of performance more families would attend?
Choose 1 answer:
Assign a number to each family, use a computer program to select 20 random numbers
between 1 and the total number of families, and ask the families selected.
For each letter of the alphabet, assign a number to each family whose last name begins with
that letter, use a computer program to select a random number between 1 and the total
number of families whose last name begins with that letter, and ask the family selected.
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The largest bubblegum bubble ever blown was 23 inches in diameter. What was its circumference?.
Answer:
[tex]C=23\pi[/tex] inches
or as a decimal
72.26 inches
Step-by-step explanation:
Formula for circumference: [tex]C=2\pi r[/tex]
Radius = [tex]\frac{d}{2}[/tex]
Altogether we get: [tex]C=2*\pi*\frac{d}{2}[/tex]
Which simplifies to: [tex]C=\pi d[/tex]
So now we can plug in 23 for [tex]d[/tex].
[tex]C=\pi*23[/tex]
Our final answer is:
[tex]C=23\pi[/tex] inches
or as a decimal
72.26 inches
Timothy has a savings account that he started five years ago to begin saving for college. The
savings account has an interest rate of 3% and has earned $225 in interest since he began the
account. How much money did Timothy start the account with when he originally opened the
savings account?
A. $1500.00
B. $33.75
C. $7500.00
D. $3375.00
of $18
Answer:
A. $1500.00
Step-by-step explanation:
Assuming this is a simple interest savings account.
Simple interest formula
I = Prt
where:
I = total interestP = principal amountr = interest rate (in decimal form)t = time (in years)Given:
I = $225r = 3% = 0.03t = 5 yearsSubstitute the given values into the formula and solve for P:
⇒ I = Prt
⇒ 225 = P(0.03 ×5)
⇒ 225 = P(0.15)
⇒ P = 225 ÷ 0.15
⇒ P = 1500
Therefore, Timothy started the account with $1500.00.
Subtract the following complex numbers:
(4+4i)-(13+17i)
OA. 9+21/
OB. -9+21/
OC. 9-13i
OD.-9-13i
We have been given (4 + 4i) - (13 + 17i) .after solving we get the correct option is A ) -9 - 13 i.
What are complex numbers?Complex numbers are those numbers that contain the imaginary and the real part.
We have been given (4 + 4i) - (13 + 17i) .
On removing the parenthesis
4 + 4 i - 13 - 17i.
On combine the real part and complex parts, we get
= 4 - 13 + 4i - 17 i.
= -9 - 13 i.
Therefore, The correct option is A ) -9 - 13 i.
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How many significant digits are there in the number 237.16?
Answer:
3
Step-by-step explanation:
Find the value of y in the equation attached to this question
Answer:
y = 4
Step-by-step explanation:
1) Simplify [tex]3^5[/tex] to 243.
[tex]{9}^{y}=\frac{243\times {9}^{6}}{{27}^{3}}[/tex]
2) Simplify [tex]{9}^{6}[/tex] to 531441.
[tex]{9}^{y}=\frac{243\times 531441}{{27}^{3}}[/tex]
3) Simplify [tex]243\times 531441[/tex] to 129140163.
[tex]{9}^{y}=\frac{129140163}{{27}^{3}}[/tex]
4) Simplify [tex]{27}^{3}[/tex] to 19683.
[tex]{9}^{y}=\frac{129140163}{19683}[/tex]
5) Simplify [tex]\frac{129140163}{19683}[/tex] to 6561.
[tex]{9}^{y}=6561[/tex]
6) Convert both sides to the same base.
[tex]9^y=9^4[/tex]
7) Cancel the base of 9 on both sides.
[tex]y=4[/tex]
Cheers,
ROR
Answer:
y = 4
Step-by-step explanation:
Decompose in base 3
[tex]9^{y} =\frac{3^{5} (3^{2})^{6} }{(3^{3})^{3} } =\frac{3^{5}3^{12} }{3^{9} } =\frac{3^{17} }{3^{9} } =3^{17-9} =3^{8}[/tex]
if
[tex]3^{8} =(3^{2} )^{4} =9^{4}[/tex]
then
[tex]9^{y} =9^{4}[/tex]
[tex]y=4[/tex]
Hope this helps
Are survival rates independent of gender within similar passenger classes ?
Answer:
yes
Step-by-step explanation:
Women had a much higher chance of survival — regardless of what class they were in — then men did. Of the 466 women on board, 339 survived. Of the 843 men on board, only 161 survived — a measly 19% compared to the 73% of women who made it safely back to shore.
A _______ random variable has infinitely many values associated with measurements.
Answer:
Continuous
A continuous random variable has infinitely many values, and those values can be associated with measurements on a continuous scale in such a way that there are no gaps or interruptions.
PLS HELP IM BEGGING ITS DUE IN 10 MINUTES WHOEVER ANSWERS FIRST AND CORRECTLY I WILL GIVE BRAINIEST!!!
Write a similarity statement comparing the two triangles:
The triangle ABE and triangle DEC are similar by AAA option third is correct.
What is the similarity law for triangles?It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
We have given two triangles in the picture.
As we can see in the triangle ABE
Angle ABE = 90 degree or right angle
Similarly, in a triangle DEC
Angle DEC = 90 degree or right angle
Angle ABE = Angle DEC
Angle EAB = Angle CDE
If the corresponding two angles are the same as two triangles then the third the angle will be the same.
Angle AEB = Angle DCE
The triangle ABE and triangle DEC are similar to AAA
Thus, the triangle ABE and triangle DEC are similar by AAA option third is correct.
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Chloe bought an equal number of forks and spoons for a party. The forks were sold at 3 for 2$ and the spoons were sold at 4 for 3$. She spent 5$ more on spoons than on forks. How much did she spend altogether?
60 forks 60÷3=$20
60 spoons 60÷4=$15
$20+$15=$35 total spent for forks and spoons
55 mi / h = ____ ft / s
Answer:
80.6ft/s
Step-by-step explanation:
[tex]\frac{55mi}{h} * \frac{5280ft}{1 mi}* \frac{1h}{3600s} = 80.6ft/s[/tex]
A 11 gram sample of a substance that’s used to treat thyroid disorders has a k- value of 0.125
The substance's half-life is 5.5 days if the 11-gram sample of a substance that’s used to treat thyroid disorders has a k- the value of 0.125
What is exponential decay?During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have an exponential function:
[tex]\rm N = N_oe^{-kt}[/tex]
Plug N = N⁰/2
[tex]\rm N_o/2 = N_oe^{-kt}[/tex]
[tex]\rm \dfrac{1}{2} = e^{-0.125t}[/tex]
Solving for t:
t = 5.54 ≈ 5.5 days
Thus, the substance's half-life is 5.5 days if the 11-gram sample of a substance that’s used to treat thyroid disorders has a k- the value of 0.125
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Denver has a current temperature of -5°, while Barcelona has a current temperature of 54°. What is the difference in temperature between Denver and Barcelona?
Answer:
59°
Step-by-step explanation:
Difference=54-(-5)
=54+5=59
The point (-6, 4) is reflected over the x-axis. Find the point of reflection.
Answer:
-6, -4
Step-by-step explanation:
The circle above with center O has a circumference of 36. What is the length of minor arc AC? A) 9 B) 12 C) 18 D) 36
Answer:
A) 9
Step-by-step explanation:
⇒ Circumference of a Circle = 2πr
[tex]36=2\pi r[/tex]
[tex]r=\frac{36}{2} \pi[/tex]
[tex]r=\frac{18}{\pi }[/tex]
Length of arc = rθ
θ = angle AC = [tex]90^o[/tex]
Convert [tex]90^o[/tex] to radian
= [tex]\frac{90\pi }{180}[/tex]
= [tex]\frac{\pi }{2}[/tex]
length of arc = 18/π x π/2
= 9
Frankie wants to build a path from one corner of his yard to the opposite corner. his yard measures 20 ft. x 32 ft. what will be the length of his path to the nearest tenth of a foot?
21.5 ft
25.0 ft
32.6 ft
37.7 ftfrankie wants to build a path from one corner of his yard to the opposite corner. his yard measures 20 ft. x 32 ft. what will be the length of his path to the nearest tenth of a foot?
21.5 ft
25.0 ft
32.6 ft
37.7 ft.
The length of his path to the nearest tenth of a foot is 37.7 ft option fourth is correct.
What is the Pythagoras theorem?The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.
We have:
Frankie wants to build a path from one corner of his yard to the opposite corner. his yard measures 20 ft. x 32 ft.
From the Pythagoras theorem:
Perpendicular(P) = 32 ft
Base(B) = 20 ft
H = √(32²+20²)
H = √1424
H = 37.7 ft
Thus, the length of his path to the nearest tenth of a foot is 37.7 ft option fourth is correct.
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Answer:
D) 37.7
Proof:
An equilateral triangle has the height BO= 80 cm. Considering, height BO splits the base (segment) AC into two equal segments of size x/2, find X.
Answer:
Given - an equilateral triangle
An equilateral triangle means all sides equal and all angle equal to 60°
In triangle BOA
sin 60° = OB/ AB
√3/2. = 80/AB
AB = 160√3/3
X = 160√3/3
can anybody help me find what 11x-21=
Use substitution to solve the following system of equations
2x + 3y = 18 AND X = y - 6
Answer:
y=6,x=0
Step-by-step explanation:
here's an attachment with how to solve
Help asap show your work!
Answer:
x = 4
Step-by-step explanation:
please help
PLEASE
Answer:
Step-by-step explanation:
4567890987654345678
The vertices of an isosceles triangle are A(-4, 0), B(-10, -2) and C(-6, -6).
What is the equation of the triangle's line of symmetry?
y = - x - 4
y = x - 4
y = x + 4
y = - x + 4
a-3/7 devided by 3-a/21
The answer is pretty simple but I put it in a picture below
