If the monthly payments mad s $200, the number of months it would take to pay off the loan is 46.54 months.
How many months would it take to pay off the loan?The first step is to determine the total value of the loan.
Total value of the loan = (1 + interest) x amount of the loan
Amount of the loan = 9000 - 500 = $8,500
Total value of the loan = (1.095) x $8500 = $9307.50
Number of months it would take to pay off the loan = total value of the loan / monthly payments
$9307.50 / 200 = 46.54 months
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1.(07.01 LC)
What is the value of x in the equation -6 + x = -4? (1 point)
-10
-2
10
In order to find the value of x, we should add 6 to both sides:-
-6+x=-4
x=-4+6
x=2
Hence, the value of x is 2.
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)
What is Three-fourths divided by one-sixth?
Answer:
[tex] \frac{9}{2} [/tex]
Step-by-step explanation:
[tex] \frac{3}{4} \div \frac{1}{6} [/tex]
[tex] \frac{3}{4} \times \frac{6}{1} [/tex]
[tex] \frac{18}{4} [/tex]
[tex] \frac{9}{2} [/tex]
Divide fractions:-
[tex]\displaystyle\frac{3}{4} :\frac{1}{6}[/tex]
Multiply the 1st fraction times the reciprocal of the 2nd fraction (flop the second fraction over) :-
[tex]\displaystyle\frac{3}{4} *\frac{6}{1} =\frac{3*6}{4*1}=\frac{18}{4}[/tex]
[If necessary, divide the top & bottom by 2, and you'll have 9/2]
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
10 divided by 3.95 times 67=3?
Answer: (Decimal: x = 0.99746…)
Step-by-step explanation:3/5 plus 1/2 in simplest form
3/5 + 1/2
= 6/10 + 5/10
= 11/10
= 1(1/10)
= 1.10
Kayli made 3 times as many Peanut Butter
Cookies as Sugar Cookies. This can be modeled
using the equation below.
Answer:
p/3
Step-by-step explanation:
You can divide both sides by three.
P=3S
----/3
P/3=S
Thus, p/3 is the answer
Question
Find the lateral surface area of the cylinder. Round your answer to the nearest tenth.
Answer:
88 m²
Step-by-step explanation:
Formula
Lateral Surface Area (LSA) = 2πrhGiven :
Diameter = 14 m ⇒ Radius = 7 mHeight = 2 mSolving :
LSA = 2πrhLSA = 2 x 22/7 x 7 x 2LSA = 22 x 4LSA = 88 m²1/17의 십진법 확장에서 반복되는 자릿수 블록의 최대 자릿수는 얼마입니까? 나눗셈을 하여 답을 확인하세요.
what can the maximum number of digits be in the repeating block of digits in the decimal expansion of 1/17? perform the division to check your answer.
Find the area of the parallelogram. 13 cm 20 cm Area cm?
Answer:
260 cm²
Step-by-step explanation:
A=b×h
A=b×h=20·13=260
Step-by-step explanation:
solution
b=20 cm
h =13 cm
Area (a) = b ×h
a=20cm ×13 cm
so , a =260 cm square
Consider parallelogram VWXY below.
Use the information given in the figure to find m∠YXV, m∠Y, and x.
note:Parallelogram WXYZ not VWXY & I will answer the questions in the image b'cos I don't get your question.
Answers:
a.(i.)Slope of line YZ = 4/5
(ii.)Line adjacent line YZ is line YX,slope of YX =5/4
b.(i.)Length of line YZ =√41 units
(ii.)Length of line YX =√41 units
c.WXYZ is a rhombus.
Step-by-step explanation:
a.Slope=gradient(m)=(y₂-y₁)/(x₂-x₁)
(i.)m of line YZ=(y₂-y₁)/(x₂-x₁) where Y(-6,-1) & Z(-1,3)
(I believe you know what the y₂,y₁,x₂ & x₁ stand for.)
So m=(y₂-y₁)/(x₂-x₁),=(3-(-1))/(-1-(-6) =(4)/(5)=4/5
∴m of line YZ is 4/5
(ii.)m of line YX=(y₂-y₁)/(x₂-x₁) where Y(-6,-1) & X(-2,4)
So m=(y₂-y₁)/(x₂-x₁),=(4-(-1))/(-2-(-6) =(5)/(4)=5/4=1.25
∴m of line YX is 5/4
b.(i.)To find the length of line YZ,we have to express it as column vector YZ.
Vector YZ=OZ-OY,Z-Y=(-1,3)-(-6,-1)=(5,4)
Length=√x² plus y²=√5² plus 4²=√25 plus 16=√41 units
∴The length of line YZ is √41 units.
(ii.)To find the length of line YX,we have to express it as column vector YZ.
Vector YX=OX-OY,X-Y=(-2,4)-(-6,-1)=(4,5)
Length=√x² plus y²=√4² plus 5²=√16 plus 25=√41 units
∴The length of line YX is √41 units.
c.WXYZ is a rhombus.
Help please if you can do it
Answer:
Associative property
Step-by-step explanation:
Sine the () was moved to another two numbers, it would be the Associative property of addition
Hope this helps :)
Helppppppp pls :))))))))
Answer:
g(x) = 1 * (x + 1)^2
Step-by-step explanation:
Answer:
g(x) = 1 * (x + 1)^2
Step-by-step explanation:
Find the solution of 3x+5/2x+1 = 1/3
Answer:
x = -2
Step-by-step explanation:
[tex]\frac{3x+5}{2x+1} = \frac{1}{3}[/tex]On cross multiplying,
3(3x + 5) = 1(2x + 1)9x + 15 = 2x + 17x = -14x = -2Answer:
[tex]x=-2[/tex]
Step-by-step explanation:
Given equation:
[tex]\dfrac{3x+5}{2x+1}=\dfrac13[/tex]
Cross multiply:
[tex]\implies 3(3x+5)=1(2x+1)[/tex]
Expand brackets:
[tex]\implies 9x+15=2x+1[/tex]
Subtract [tex]2x[/tex] from both sides:
[tex]\implies 9x+15-2x=2x+1-2x[/tex]
[tex]\implies 7x+15=1[/tex]
Subtract 15 from both sides:
[tex]\implies 7x+15-15=1-15[/tex]
[tex]\implies 7x=-14[/tex]
Divide both sides by 7:
[tex]\implies \dfrac{7x}{7}=-\dfrac{14}{7}[/tex]
[tex]\implies x=-2[/tex]
Find the volume of the pyramid.
A) 22 cm3
B) 264 cm3
C) 132 cm3
D) 44 cm3
Two students each write a function, S(n), that they think can be used to find the number of squares needed to make the nth figure in the pattern shown.
Use the drop-down menus to explain why each function does or does not represent the number of squares needed to make the nth figure in the pattern.
The number of squares needed to make nth figure in the pattern is
S(n) = 2ⁿ.
What is square?A square is "a shape that has four sides of the same length and the four angles of right angles".
According to the question,
S(1)=2; S(2) =4; S(3) = 8: S(4)=16 .........
S(1) = 2; S(2) = 2² = 4; S(3) = 2³ = 8; S(4) = 2⁴ = 16....... S(n) = 2ⁿ
In to find the number of squares needed to make the nth figure in the given pattern is S ( n ) = 2ⁿ.
Hence, the number of squares needed to make nth figure in the pattern is S(n) = 2ⁿ.
Learn more about squares here
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The number of squares needed to make nth figure in the pattern is
S(n) = 2ⁿ.
According to the question,
S(1)=2; S(2) =4; S(3) = 8: S(4)=16 .........
S(1) = 2; S(2) = 2² = 4; S(3) = 2³ = 8; S(4) = 2⁴ = 16....... S(n) = 2ⁿ
In to find the number of squares needed to make the nth figure in the given pattern is S ( n ) = 2ⁿ.
Hence, the number of squares needed to make nth figure in the pattern is S(n) = 2ⁿ.
An art teacher put 108 markers on the 8 tables in her room she gave out the greatest number of markers possible so that each table had the same number of markers how many markers were left over?
Answer:
4 markers left
Answer:
4 markers
Step-by-step explanation:
108/8=13.5
13x8=104
108-104=4
The volume of a solid is 500 cm3. What is the radius of a cylinder if the height is 13.
Answer:
3.499 cm
Step-by-step explanation:
volume of a cylinder = pi r^2 h
500 = pi r^2 (13)
sqrt ( 500/(pi * 13) = h =
50% is the same as what decimal?
Answer:
0.5
Step-by-step explanation:
To convert a percentage into a decimal you divide by 100 :
50% ÷ 100 = 0.5
Hope this helped and brainliest please
Answer: 0.5
Step-by-step explanation: 50/100
What is 7.23 x 10^5 in standard notation
Delete the comma if needed
================================================
Explanation:
The exponent of 5 means we move the decimal 5 spots to the right.
This has us go from 7.23 to 723,000
If the exponent was negative, then we'd move that amount to the left.
What is the measure of arc JK?
Answer:
AS 37=1/2 (45+x)
74=45+x
74-45=x
29=x
or
x=29
ANSWER
ANS= B.29
The top and bottom lines are parallel. what is the value of X?
Answer:
B, the answer is B or C believe me
Step-by-step explanation:
Find the volume of the triangular prism.
4 ft
8 ft
37 ht
Answer:
4 ft
Step-by-step explanation:
So to calculate the volume of a triangular prism, the formula is 4ft
Step-by-step explanation:
volume of prism = area of triangle * length
= 1/2*4*8*37
= 592ft^3
60 ft
60 ft
30t)
60 ft
60ft
30 ft.
Answer:
7290ft^2
Step-by-step explanation:
60*30=1800
then multiply that by 4 because of the 4 rectangle
1800*4=7200
multiply 30*30 to get 90 then add that on
7290
Can anyone help with this? I'm having some trouble.
There are 70 days in ten weeks.
Based on the mean from the sample, how many more guests will stay at the small hotel than at the bed and breakfast in a 10-week period?
Using proportions, it is found that 315 more guests will stay at the small hotel than at the bed and breakfast in a 10-week period.
What is a proportion?A proportion is a fraction of a total amount.
At the small hotel, a mean of 7.75 guest stay per night. 10 weeks have 70 days, then the total amount is:
S = 7.75 x 70 = 542.5
At the bed and breakfast, the mean was of 3.25 guests per night, hence:
B = 3.25 x 70 = 227.5.
The difference is given by:
S - B = 542.5 - 227.5 = 315.
Hence, 315 more guests will stay at the small hotel than at the bed and breakfast in a 10-week period.
More can be learned about proportions at https://brainly.com/question/24372153
Answer: Look at the attachment
Step-by-step explanation:
A sculpture is made of two sizes of rectangular prisms. one size measures 13 in by 8 in by 2 in. the other size measures 9 in by 8 in by 18 in. what is the total volume of the sculpture
Answer:The answer should be 1504 if i did it corectly
Step-by-step explanation: to get volume you need to multiply L*W*H and filling that in. 13 * 8 * 2 whitch you should get 208
the other size would have to be 9 * 8 * 18 which you should get 1296
then to get the total you just need to add together the two sums 208+1296 which should equal 1504.
the question is in the image
Check the picture below.
now, keeping in mind that ratio of the sides is the same as the ratio of the perimeters.
[tex]\cfrac{\stackrel{small}{trapezoid}}{\stackrel{large}{trapezoid}}\qquad \stackrel{sides}{\cfrac{6}{9}}~~ = ~~\stackrel{perimeters}{\cfrac{20}{p}}\implies \cfrac{2}{3}=\cfrac{20}{p}\implies 2p=60 \\\\\\ p=\cfrac{60}{2}\implies p=30 \\\\[-0.35em] ~\dotfill[/tex]
[tex]\cfrac{\stackrel{small}{trapezoid}}{\stackrel{large}{trapezoid}}\qquad \stackrel{sides^2}{\cfrac{6^2}{9^2}}~~ = ~~\stackrel{areas}{\cfrac{A}{45}}\implies \cfrac{36}{81}=\cfrac{A}{45}\implies \cfrac{4}{9}=\cfrac{A}{45} \\\\\\ 180=9A\implies \cfrac{180}{9}=A\implies 20=A[/tex]
okay, triangular prism volume formula. b is base, B is area of base (i think) V is volume, h is height, but I forgot what H is.
Also, how has your day been? :)
Answer:
good and how do you forget wut H is?
Step-by-step explanation:
1. The equation of a circle is x² + y² - 4x +2y-11-0. What are the center and the radius of the circle?
www
Show your work.
Answer:
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of Circles,
so we get as,
centre as ==> ( -g, -f) ==> (2,-1)
find 6 rational numbers between 3 and 4.
Answer:
[tex] \frac{3 \times 10}{1 \times 10} [/tex]
And
[tex] \frac{4 \times 10}{1 \times 10} [/tex]
[tex] = \frac{30}{10} \: and \: \frac{40}{10} [/tex]
[tex] \frac{31}{10} \frac{32}{10} \frac{33}{10} \frac{34}{10} \frac{35}{10} \: and \: \frac{36}{10} [/tex]
Step-by-step explanation:
these are the six rational numbers between 3 and 4
Answer:
[tex]\dfrac{37}{12}, \dfrac{19}{6}, \dfrac{13}{4}, \dfrac{10}{3}, \dfrac{41}{12}, \dfrac{7}{2}[/tex]
Step-by-step explanation:
Write 3 and 4 as rational numbers with a common denominator.
Common denominator = common multiple = 12
[tex]\implies 3=\dfrac{3 \times 12}{12}=\dfrac{36}{12}[/tex]
[tex]\implies 4=\dfrac{4 \times 12}{12}=\dfrac{48}{12}[/tex]
Therefore, the rational numbers between them with a denominator of 12 are:
[tex]\dfrac{37}{12}, \dfrac{38}{12}, \dfrac{39}{12}, \dfrac{40}{12}, \dfrac{41}{12}, \dfrac{42}{12}, \dfrac{43}{12}, \dfrac{44}{12}, \dfrac{45}{12}, \dfrac{46}{12}, \dfrac{47}{12}[/tex]
Reduced to their simplest form:
[tex]\dfrac{37}{12}, \dfrac{19}{6}, \dfrac{13}{4}, \dfrac{10}{3}, \dfrac{41}{12}, \dfrac{7}{2}, \dfrac{43}{12}, \dfrac{11}{3}\dfrac{15}{4}, \dfrac{23}{6}, \dfrac{47}{12}[/tex]
**There are many, many more rational numbers between 3 and 4 that we could find by changing the denominator**
If you take the trinomial (4x2 + 8x + 4) and divide it by (2x + 2), what will you get?
I believe the answer is 8x+2