14 year it would take to earn $1000 simple interest on an investment of $800 at 9% annual interest.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Let the number of years be represented as T
Now , the equation will be
The simple interest I = $ 1000
The rate of interest R = 9 %
The principal amount P = $ 800
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
Substituting the values in the equation , we get
1000 = ( 800 x 9 x T ) / 100
On simplifying the equation , we get
72T = 1000
Divide by 72 on both sides of the equation , we get
T = 13.89 years
Therefore , the number of years is approximated to 14 years
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The art club in Northwestern middle school is selling candy bars as a fundraiser. each art club member....
Given the equations x^2 + 8x + 12 = 0 and 3x + 6 = 0, what is the common
solution?
[tex] {x}^{2} + 8x + 12 = 0 \\ = > {x}^{2} + 6x + 2x + 12 = 0 \\ = > x(x + 6) + 2(x + 6) = 0 \\ = > (x + 2)(x + 6) = 0 \\ = > x = - 2 \: \: or \: \: - 6[/tex]
[tex]3x + 6 = 0 \\ = > 3x = - 6 \\ = > x = \frac{ - 6}{3} \\ = > x = - 2[/tex]
Here, the common solution is -2.
Answer:
x = -2.
Hope you could get an idea from here.
Doubt clarification - use comment section.
While shopping at his local home improvement store, Chen noticed that the directions for an extension ladder state, “This ladder is most stable when used at a 60° angle with the ground.” He wants to buy a ladder to paint a two-story house. How long does his ladder need to be in order to reach the top of the house if the house is 27 feet tall?
The length of the ladder needed to reach the top of the house is 31.2 feet.
Trigonometric ratio is used to show the relationship between the sides and the angles of a right angled triangle.
Let d represent the length of the ladder. Using trigonometric ratio:
[tex]sin(60)=\frac{27}{d} \\\\d=\frac{27}{sin(60)} =31.2\ feet[/tex]
The length of the ladder needed to reach the top of the house is 31.2 feet.
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Find the area, in square inches, of a square with a side length 1/4 in.
Answer:1/16 squared
Step-by-step explanation:
1/4*1/4
4*4=16
1/16
Molly O'Rourke assembles computers for Radius Computer. She works 8 hours per
day less 2 breaks at 15 minutes per break. She spends 45 minutes on each
computer. How many computers should she be able to assemble in one day?
Answer:
10
Step-by-step explanation:
I converted 8 hours to minutes so solve the equation easily
8 hours = 480 minutes
I subtracted the amount of time she takes for a break
480- (15+15) = 450
To find the number of computers she could repair I divided 450 by the number of minutes she spends repairing one computer.
[tex]\frac{450}{45}[/tex]= 10
Therefore, she could fix 10 computers during her 8 hours of work.
__________________________________________________________
Hope this helps!!
If I am wrong, please tell me, I enjoy learning from my mistakes:)
Find the circumference of a circle with a radius of 11.15 cm
Answer:
390.377
Step-by-step explanation:
pi*r^2
One of the two solutions to the equation $5x^2 - 11x - 36 = 0$ is $x = 4$. What is the other solution?
the other solution is[tex]\frac{-9}{5}[/tex]
Answer:
Solution given:
[tex]5x^2 -11x-36=0[/tex]
doing middle term factorization
we need to get 11 by subtracting product of 5 and 36.
5*36=180=2*2*3*3*5
we get 11 by subtracting 5*2*2-3*3=20-9
substituting value of 11 as (20-9)
now
[tex]5x^2 -(20-9)x-36=0[/tex]open bracket
[tex]5x^2 -20x+9x-36=0[/tex]
taking common from each two terms
5x(x-4)+9(x-4)=0
again taking common
(x-4)(5x+9)=0
either
x-4=0
x=4
or
5x+9=0
5x=-9
x=[tex]\frac{-9}{5}[/tex]
Step-by-step explanation:
Following are the calculation to the given equation:
Given:
[tex]\to 5x^2 - 11x - 36 = 0[/tex]
one solution:
[tex]x=4[/tex]
To find:
other solution=?
Solution:
[tex]\to 5x^2 - 11x - 36 = 0\\\\\to 5x^2 - (20-9)x - 36 = 0\\\\\to 5x^2 - 20x+9x - 36 = 0\\\\\to 5x(x - 4)+9(x - 4) = 0\\\\\to (x - 4) (5x+9) = 0\\\\\to x - 4=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5x+9 = 0\\\\\to x = 4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5x = -9\\\\\to x = 4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x = \frac{-9}{5}\\[/tex]
Therefore, another solution is "[tex]-\frac{9}{5}[/tex]".
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5(2+(-9))+-25
HELP
PLZZ
Answer:
-115
Step-by-step explanation:
Using BODMAS
+(-9) = -9
2(-9) = -18
5(-18) = -90
(-90) + (-25) = -90 - 25 = -115
QUICKKKKK DJWKCJKWFN
Step-by-step explanation:
just take from me..your most best and smarties person ever...i don't know the answer
negative three eights times a number,z, equals 12.
Answer:
the answer is 32
Step-by-step explanation:
3/8=0.375
0.375 x 12 =32
Answer:
-0.5
Step-by-step explanation:
If we reverse the math, 12/ -3/8=-0.5, therefore -0.5 is the answer. Please mark brainliest if possible
What is an equivalent expression to 7x - 3y + 8x ?
Answer:
15x-3y
Step-by-step explanation:
Ok, this question might seem hard but its not! theres only 2 varibles here, x and y. In this problem we add the 2 numbers that are x which gives us 15x and then the -3y gets added to the rephrasment.
Does anyone get this question?
Answer:
a= 121°
b=62°
c=59°
Step-by-step explanation:
I first found b because they are vertical angles
Because I know the measure of angle b I take 180 (total sum of a triangle) and subtracted 62 from 180 which gave me 59 and because both base angles are equal to each other I divided 118 by 2 which gave me 59. Giving me the measure of angle c.
By adding angles b and c they would give me the measure of angle a.
__________________________________________________________Hope this helps!!
If I am wrong, please tell me, I enjoy learning from my mistakes:)
We didn’t learn this so I need help! Please provide a good explanation so that I will be able to do problems like his on my own in the future.
Answer:
Ask your teacher to explain it. I think that the answer is one hundred and thirty-two dollars.
Step-by-step explanation:
The simple interest follows this formula:
I = C x r% x t
– C would be the capital; the money that is provided (in this case, $1600)
– r would be the rate, which could be annual, monthly, etc. In this scenario, it's not specified. Therefore, we assume that it's annual as the time is given in years. (It would be equal to 2,75, but don't forget about the percent symbol %, which is equal to 1/100)
– Finally, t stands for time.
Remember that both time and rate must be in the same measurement (annual, monthly, etc).
You multiple everything, and the result is $132
(789+890)=(2992) answer it and i give u a taco
Answer:
False
Step-by-step explanation:
789+890 = 1679
Answer:
789+890+1313=2992
Step-by-step explanation:
A plane travels 460 miles per hour. how many miles does the plane travel in feet per second?
Answer:
674.667 feet per second
What is the slope of the line that passes through the points (-10,1 ) and (0,5 )?
Answer:
4/10 or 0.4
Step-by-step explanation:
I just need 20 charecters
Answer:
slope = 0.4
Step-by-step explanation:
HOPE THIS HELPS :)
Scientists say we should sleep 3/8 of a day.How about many hours is this
Answer:
9 hours
Step-by-step explanation:
Answer:
[tex]\huge\color{skyblue}\boxed{\colorbox{black}{Answer ☘}}[/tex]
number of hours in a day = 24
according to scientists ,
we should sleep number of hours = 3/8
therefore ,
[tex] \frac{3}{8} \: of \: 24 \: hours = \frac{3}{8} \times 24 \\ = > 9 \: hours[/tex]
hope helpful~
HELPPPPPPP PLSSSSS!!!!!! 100 points
Given: Angle T S R and Angle Q R S are right angles; Angle T Is-congruent-to Angle Q
Prove: Triangle T S R Is-congruent-to Triangle Q R S
Triangles T S R and Q R S share side S R. Angles T S R and S R Q are right angles. Angles S T R and S Q R are congruent.
Step 1: We know that Angle T S R Is-congruent-to Angle Q R S because all right angles are congruent.
Step 2: We know that Angle T Is-congruent-to Angle Q because it is given.
Step 3: We know that Line segment S R is-congruent-to line segment R S because of the reflexive property.
Step 4: Triangle T S R Is-congruent-to Triangle Q R S because
of the ASA congruence theorem.
of the AAS congruence theorem.
of the third angle theorem.
all right triangles are congruent.
Answer:
B.of the AAS congruence theorem.
Step-by-step explanation:
hope this helps!
The solution set of inqulity 4>-2x in R is …
[tex]4>-2x\\\\\implies -\dfrac{4}2 <\dfrac{-2x}{-2}\\\\\implies -2<x\\\\\implies x >-2\\\\\text{Interval, }~ (-2, \infty)[/tex]
Which exponential expression is equivalent to the product shown 2/3×2/3×2/3×2/3×2/3×2/3×2/3?
Answer:
B. (2/3) x (2/3) x (2/3)
C. 8/27
D. 2^3 /3^3
hope this helps
PLEASE HELP QUICKLY Determine the equivalent system for the given system of equations: 5x + 3y = 1 4x − 5y = 4
Answer:
x = 32/67 y = 36/67
Step-by-step explanation:
5x+3y = 4 ------1
14x-5y = 4 -------2
1×5 ; 25x+15y = 20 --------3
2×3 ; 42x-15y = 12 -------4
3+4 ; 67x = 32
x = 32/67
5×(32/67)+3y = 4
y = 36/37
Answer:
2x + 3y = 7
9x − 2y = 4
Step-by-step explanation:
i did the quiz on flvs
what is the sum of 4 and -5
Answer:
-1
Step-by-step explanation:
its like subtracting 5 and 4
sooooooooooooooooooooooooooooo easy
Answer:
11/12..................
Answer:
J) 11/12
Step-by-step explanation:
.
A pie company made 57 apple pies and 38 cherry pies each day for 14 days. How many apples pies does the company make in all?
How many cherry pies does the company make in all show your work ?
Answer:
798 Apple Pies 57x14
532 Cherry Pies 38x14
Step-by-step explanation:
Which expression are equivalent to -1+12x^2+x
Answer:
(3x+1)(4x-1)
Step-by-step explanation:
you can reorder the terms to make it less confusing to 12x^2+x-1
write x as a different 12x^2+4x-3x-1
factor out 4x 4x(3x+1)-3x-1
factor out the negative sign 4x(3x+1)-(3x+1)
factor out 3x+1
(3x+1)(4x-1)
(3x – 1) : (x - 2) = x – 2x (x—4)
срочно, сор.
[tex]\frac{3x-1}{x-2}=x-2x(x-4) <=>\frac{3x-1}{x-2}=x-2x^{2} +8x \\<=>\frac{3x-1}{x-2}=-2x^{2} +9x<=>3x-1= (-2x^{2} +9x)(x-2)\\<=>3x-1= -2x^3+4x^{2} +9x^{2} -18x\\<=>3x-1=-2x^3+13x^{2} -18x\\<=>2x^3 -13x^{2} +18x+3x -1=0\\<=>2x^3 -13x^{2}+21x-1=0\\<=> x =0.05 /or/x=3.7[/tex]
ok done. Thank to me :>
What is 7.125 simplified as a fraction?
Answer: 7 [tex]\frac{1}{8}[/tex] or [tex]\frac{57}{8}[/tex]
Step-by-step explanation:
0.125 = 1/8
In two or more complete sentences, describe the transformation(s) that take place on the parent function, f(x) = log(x), to achieve the graph of g(x) = log(-2x-4) + 1.
Using translation concepts, it is found that the parent function was:
Reflected over the x-axis.Horizontally compressed by a factor of 2.Shifted right 4 units.Shifted up 1 unit.The parent function is:
[tex]f(x) = \log{x}[/tex]
The first transformation is:
[tex]\log{x} \rightarrow \log{-x}[/tex]
Which means that it was reflected over the x-axis.Then, [tex]\log{-x} \rightarrow \log{-2x}[/tex], which means that it was horizontally compressed by a factor of 2.
Then, [tex]\log{-2x} \rightarrow \log{-2x - 4}[/tex], which means that it was shifted right 4 units.
Finally, 1 was added to the function, which means that it was shifted up 1 unit.
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please help with geometry problems
Answer:
put your best gees
Step-by-step explanation:
-5/9+(-4/3)-2/3 khan academy. Please help !!!
Answer:
= -2.554
Step-by-step explanation:
BODMAS Rule:
Brackets, O-Orders (powers/indices or roots), D-Division, M-Multiplication, A-Addition, S-Subtraction.
-4/3 = -1.33333333333
-2/3 = -0.66666666666
-5/9 = -0.55555555555
-0.555+(-1.333)-0.666
= -2.554
Step-by-step explanation:
[tex] - \frac{5}{9} + ( - \frac{4}{3} ) - \frac{2}{3} = - \frac{23}{9} [/tex]
First deal with the bracket to get
[tex] - \frac{5}{9 } - \frac{4}{3} - \frac{2}{3} [/tex]
Next, find the L.C.M which is 9
[tex] \frac{ - 5 - 4 \times 3 \times - 2 \times 3}{9} [/tex]
[tex] \frac{ - 5 - 12 - 6}{9} = - \frac{23}{9} [/tex]