Hope this help!!!
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Fatuma invests a total of $14,000 in two accounts. The first account earned an annual interest rate of 15% and the second account earned an annual interest of 12%. At the end of one year, the total amount of money gained was $1,815.00. How much was invested into each account? $ was invested in the account that earned 15% and $ was invested in the account that earned 12%.
Answer: that’s 5
Step-by-step explanation:
A mixture of concrete is made up of sand and cement in the ratio of 5:3.How many cubic centimeters of sand is needed to make 160 cubic centimeters of concrete mix?
Answer: [tex]100\ cm^3[/tex]
Step-by-step explanation:
Given
The ratio of mixture of sand and cement is 5:3
If the total volume of mixture is [tex]160\ cm^3[/tex]
Suppose there is 5x and 3x cubic centimeter of sand and cement respectively i.e.
[tex]\Rightarrow 5x+3x=160\\\Rightarrow 8x=160\\\Rightarrow x=20\ cm^3[/tex]
Sand [tex]5x=5\times 20=100\ cm^3[/tex]
So, there is [tex]100\ cm^3[/tex] of sand in the mixture
Brian and Hayden go out for dinner and the bill comes to $120.00. Hayden usually tips more than 20% of the bill and Brian usually tips at most 25% of the bill. Given Brian and Hayden's tipping habits, what graph below best represents the range for a tip (d) that the server should expect to see?
Answer:
There are no graphs
Step-by-step explanation:
"what graph below best represents the range for a tip "
Brian
120 * .2 = 24
24 < d
Hayden
120 * .25 = 30
d ≤ 30
24 < d ≤ 30
Can someone help me? It's urgent and thank you!
Answer:
B. [tex]\frac{x + 6}{10x}[/tex]
use the function below to find F(3).
F(x) = 4(1/3)^x
Answer:
4/27
Step-by-step explanation:
F(x) = 4(1/3)^x
Let x =3
F(3) = 4(1/3)^3
Exponents first
F(3) = 4 * 1/27
Then multiply
f(3) = 4/27
Answer:
4/27
Step-by-step explanation:
f(x) = 4(1/3)^x
f(3) = 4(1/3)^3
f(3) = 4(1/27)
f(3) = 4/27
hope that helps
What is the perimeter in terms of x, of the rectangle shown here (x^2+7x-9) (3x^2-2x)
Given:
Consider the dimensions of the rectangle are [tex](x^2+7x-9)[/tex] and [tex](3x^2-2x)[/tex].
To find:
The perimeter in terms of x, of the rectangle.
Solution:
Let the length of the rectangle be [tex](x^2+7x-9)[/tex] and the width of the rectangle is [tex](3x^2-2x)[/tex] units.
The perimeter of a rectangle is:
[tex]P=2(l+w)[/tex]
Where, l is the length and w is the width of the rectangle.
Substituting [tex]l=(x^2+7x-9)[/tex] and [tex]w=(3x^2-2x)[/tex] in the above formula, we get
[tex]P=2((x^2+7x-9)+(3x^2-2x))[/tex]
[tex]P=2(4x^2+5x-9)[/tex]
[tex]P=2(4x^2)+2(5x)+2(-9)[/tex]
[tex]P=8x^2+10x-18[/tex]
Therefore, the perimeter of the rectangle is [tex]8x^2+10x-18[/tex] units.
Find the sum of this series \displaystyle \log\left(\frac{1}{2}\right)+\log\left(\frac{2}{3}\right)+\log\left(\frac{3}{4}\right)+\log\left(\frac{4}{5}\right)+...+\log\left(\frac{98}{99}\right) +\log\left(\frac{99}{100}\right)log( 2 1 )+log( 3 2 )+log( 4 3 )+log( 5 4 )+...+log( 99 98 )+log( 100 99 )
Answer:
[tex]\log\left(\frac{1}{2}\right)+\log\left(\frac{2}{3}\right)+\log\left(\frac{3}{4}\right)+\log\left(\frac{4}{5}\right)+...+\log\left(\frac{98}{99}\right) +\log\left(\frac{99}{100}\right) = \log(\frac{1}{100})[/tex]
Step-by-step explanation:
Given
[tex]\log\left(\frac{1}{2}\right)+\log\left(\frac{2}{3}\right)+\log\left(\frac{3}{4}\right)+\log\left(\frac{4}{5}\right)+...+\log\left(\frac{98}{99}\right) +\log\left(\frac{99}{100}\right)[/tex]
Required
The sum
Using the laws of logarithm, we have:
[tex]\log(a) + \log(b) = \log(ab)[/tex]
Take the first two terms of the series
[tex]\log(\frac{1}{2}) + \log(\frac{2}{3}) = \log(\frac{1}{2} * \frac{2}{3})[/tex]
[tex]\log(\frac{1}{2}) + \log(\frac{2}{3}) = \log(\frac{1}{3})[/tex]
Include the third term
[tex]\log(\frac{1}{2}) + \log(\frac{2}{3})+ \log(\frac{3}{4}) = \log(\frac{1}{3} * \frac{3}{4})[/tex]
[tex]\log(\frac{1}{2}) + \log(\frac{2}{3})+ \log(\frac{3}{4}) = \log(\frac{1}{4})[/tex]
Include the fourth term
[tex]\log(\frac{1}{2}) + \log(\frac{2}{3})+ \log(\frac{3}{4}) + \log(\frac{4}{5}) = \log(\frac{1}{4} *\frac{4}{5})[/tex]
[tex]\log(\frac{1}{2}) + \log(\frac{2}{3})+ \log(\frac{3}{4}) + \log(\frac{4}{5}) = \log(\frac{1}{5})[/tex]
Notice the following pattern
[tex]\log(\frac{1}{2}) + \log(\frac{2}{3}) = \log(\frac{1}{3})[/tex] ---------------- n =2
[tex]\log(\frac{1}{2}) + \log(\frac{2}{3})+ \log(\frac{3}{4}) = \log(\frac{1}{4})[/tex] -------------- n = 3
[tex]\log(\frac{1}{2}) + \log(\frac{2}{3})+ \log(\frac{3}{4}) + \log(\frac{4}{5}) = \log(\frac{1}{5})[/tex] ----------- n = 4
So the sum of n series is:
[tex]\log(\frac{1}{2}) + \log(\frac{2}{3})+ ............ + \log(\frac{n}{n+1}) = \log(\frac{1}{n+1})[/tex]
So, the sum of the series is:
[tex]\log\left(\frac{1}{2}\right)+\log\left(\frac{2}{3}\right)+\log\left(\frac{3}{4}\right)+\log\left(\frac{4}{5}\right)+...+\log\left(\frac{98}{99}\right) +\log\left(\frac{99}{100}\right)[/tex]
[tex]\log\left(\frac{1}{2}\right)+\log\left(\frac{2}{3}\right)+\log\left(\frac{3}{4}\right)+\log\left(\frac{4}{5}\right)+...+\log\left(\frac{98}{99}\right) +\log\left(\frac{99}{100}\right) = \log(\frac{1}{99+1})[/tex]
[tex]\log\left(\frac{1}{2}\right)+\log\left(\frac{2}{3}\right)+\log\left(\frac{3}{4}\right)+\log\left(\frac{4}{5}\right)+...+\log\left(\frac{98}{99}\right) +\log\left(\frac{99}{100}\right) = \log(\frac{1}{100})[/tex]
I am doing a connexus geometry unit test. please send assistance!
Answer:
x=37
Step-by-step explanation:
50+24=74
74/2=37
The diagram shows triangle ABC.
A = 81°
AB = 8.2 cm
BC = 13.5 cm
Calculate the length of AC.
Answer:
The length of AC is 12.08 cm.
Step-by-step explanation:
Given:
In triangle ABC, AB = 8.2 cm, C = 13.5 cm and angle A = 81 degrees.
Solution:
https://brainly.com/question/21977218
This is erinna's answer, no need to thank me, thank her instead
Using Law of Sines, we get
Using angle sum property, we get
Now,
Therefore, the length of AC is 12.08 cm.
The length of the side AC of the triangle ABC whose side AB is of 8.2 cm and side BC is of 13.5 cm length with angle A of 81° is 12.1 cm approx.
What is law of cosine?Let there is triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:
[tex]a^2 + b^2 -2ab\cos(\theta) = c^2[/tex]
(c is opposite side to angle A)
When one angle and two sides of a triangle are known, and we want to know the length of the remaining third side, then we can use the law of cosines.
We're specified that:
Length of AB = |AB| = c = 8.2 cm|BC| = a = 13.5 cmm∠A = 81°Let the third side's length = |AC| = b cm (don't mix this notation with the notation of the formula said above. We just used notation such that its the smaller case version of the vertex opposite to that side, for example, opposite to AC lies b).
For using formula, we just need to take care that the angle θ is the angle opposite to the side which is going to be on one side (the notation c^2 in the formula given and here since we know the angle A, so the side opposite to A which is BC will be used in one side of the cosine rule, as shown below).
The side opposite to the angle A is BC, thus, we get:
[tex]|BC|^2 = |AB|^2 + |AC|^2 -2|AB||AC| \cos(m\angle A)\\\\13.5^2 = 8.2^2 + b^2 -2(8.2)b \cos(81^\circ)\\\\b^2 - 2.566 b - 115.01 \approx 0\\\\b \approx \dfrac{2.566 \pm \sqrt{2.566^2 - 4(-115.01)}}{2}\\\\b= 12.0835, -9.5175[/tex]
b represents side length, therefore positive. Thus, we obtained the length of the side |AC| approximately 12.1 cm
Thus, the length of the side AC of the triangle ABC whose side AB is of 8.2 cm and side BC is of 13.5 cm length with angle A of 81° is 12.1 cm approx.
Learn more about law of cosines here:
https://brainly.com/question/17289163
a rational number between -2/3 and 1/4 is
Answer:
[tex]\frac{-7}{12} , \frac{-6}{12} , \frac{-5}{12},\frac{-4}{12} ,\frac{-3}{12} ,\frac{-2}{12} ,\frac{-1}{12},\frac{1}{12} ,\frac{2}{12}[/tex]
Step-by-step explanation:
Given :
To find rational number between -2/3 and 1/2
Firstly need to equate their denominator
[tex]\frac{-2(4)}{3(4)} =\frac{-8}{12} \\\frac{1(3)}{4(3)} =\frac{3}{12}[/tex]
Now,
Rational number between these two numbers will be :
[tex]\frac{-7}{12} , \frac{-6}{12} , \frac{-5}{12},\frac{-4}{12} ,\frac{-3}{12} ,\frac{-2}{12} ,\frac{-1}{12},\frac{1}{12} ,\frac{2}{12}[/tex]
18 km
12 km
20 km
or
14 km
Answer:
20 km
Step-by-step explanation:
Circumference is given by
C = pi*d
20 pi = pi *d
Divide each side by pi
20 =d
I dkabouthtisoneiuisrhihurg
help ASAP Please show working
Answer:
(a) -1
(b) -2
Step-by-step explanation:
(a) Replace the a's with 1 and the b's with 3 to get 1*3 = 1-3+1 = -1
(b) We already figured out that (1*3) equals -1 so we just need to find -1*2. Using same strategy as part a, replace a and b with -1 and two, respectively. -1*2 = -1-2+1= -2. Hope this helps and sorry if I made a mistake. :)
A pet store has 115 fish that need to be placed into fish tanks. Each tank can hold 6 fish. How many tanks does the store need for the fish?
Answer:19
Step-by-step explanation: draw the tanks put 6 fish in each tank until you get all 115 in each tank
Which transformation is not isometric?
Complete the table to show a proportional relationship,
Write the constant of proportionality, Number of Yoga Classes
Cost (5)
constant of proportionality
Answer:
Step-by-step explanation:
constant of proportionality : 60/4 = 15
Number : 2
Cost : 15 * 2 = $30
Number 6
Cost = 15 * 6 = $90
Number 8
Cost = 15 * 8 = $120
Hello please help me with this! :D
APQR and ARST are shown.
S
R
R
Р
+
H
440
T
What is m TSR?
mZTSR = [1]
Answer:
∠ RST = 68°
Step-by-step explanation:
Since RT = ST then the triangle is isosceles with 2 base angles congruent
∠ RST = [tex]\frac{180-44}{2}[/tex] = [tex]\frac{136}{2}[/tex] = 68°
THE PROBABILITY OF A FOOTBALL TEAM WINNING A MATCH IS 0.3 THE PROBABILTITY OF THE SAME FOOTBALL TEAM LOSING IS 0.55 WHAT IS THE PROBABILITY OF THE SAME FOOTBALL TEAM WINNING THE MATCH?
Answer:
[tex]P(Win) = 0.30[/tex]
Step-by-step explanation:
Given
[tex]P(Win) = 0.30[/tex]
[tex]P(Lose) = 0.55[/tex]
Required
[tex]P(Win)[/tex]
This is already stated in the question as:
[tex]P(Win) = 0.30[/tex]
Select the correct answer.
In which quadrant are the x-coordinate and the y-coordinate of a point both negative?
A.
quadrant I
B.
quadrant II
C.
quadrant III
D.
quadrant IV
Answer: c
Step-by-step explanation:
A furnace was originally priced at $907.07 but went on sale for 33% off. If Omar bought the furnace and paid 9%
sales tax, how much did he pay in total?
PLZ HELP I’LL MAKE YOU A BRAINLEST
Answer:
662.44 total paid
Step-by-step explanation:
907.07X.33(33% off)=299.33 discount
907.07-299.33=607.74 sales price
607.74+.09=54.70 sales tax
607.74+54.70=662.44 sales price including sales tax
Given the equation sqrt(x+1)+3=0, explain how to and solve this equation. Is the solution extraneous? Explain
√(x + 1) + 3 = 0 ==> √(x + 1) = -3
has no real solutions, since the square root cannot be a negative number. But if we were to ignore that for the moment, one might try taking the square of both sides, which gives
(√(x + 1))² = (-3)² ==> x + 1 = 9 ==> x = 8
But this is not a valid solution, since
√(8 + 1) = √9 = 3 ≠ -3
While -3 is a square root of 9, we had started off with the *positive* square root of x + 1.
Solve the system using substitution. Please write the solution in the form of a coordinate pair ( x, y ) SHOW YOUR
WORK!
15x = 30
y + 3x = 12
GIVING BRAINIEST TO WHOEVER HELPS ME AND GETS IN RIGHT!!!
I need help solving these problems
Answer:
question one:
x = 6.018150231520483
adjacent angle = 7.986355100472928
Step-by-step explanation:
i have no links, but try to search triginometry calculator and pick carbide calculator for fast trigonometry calculations
it automaticly does sin, cos, and tan for you.
Need help ASAP !!!!!
Answer:
Option A is correct answer
hear is explaination
[tex]\longrightarrow{\blue{a.\:90}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] - 3xy[/tex]
Plugging in the values "[tex]x = 5[/tex]" and "[tex] y = -6[/tex]", we have
[tex] = - 3(5)( - 6)[/tex]
[tex] = - 3( - 30)[/tex]
[tex] = 90[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
select the correct answer
Ans
i cant see the pic
Step-by-step explanation:
Answer:
B) 45°
Step-by-step explanation:
Because we are dealing with a right triangle, we have one angle which is a right angle and 2 angles that are the same measure since sinA=sinB. Since all the interior angles of a triangle must add up to 180°, then m∠A=45° because 2(45°)+90°=180°.
A parabola intersects the x- axis at x=3 and x=9
Step-by-step explanation:
To find the equation of a parabola we need to have 3 points. The intercept of the X axis is the X intercept. The definition of an intercept is when the other value is equal to zero. (3,0) and (9,0)
There appears to not be enough points to answer your question. we also need a vertex
HELP FAST I NEVER SAW THIS BEFORE IN MY LIFE
I'll mark brainliest for the best answer!!
Answer:
GIRL NO WAY IM LITTERALY TAKING THAT TEST RN AND IM TRYING TO FIGURE OUT THAT SAME QUESTION LOL
Step-by-step explanation:
BUT I THINK ITS -0.5 DONT TAKE MY WORD FOR IT IM JUST ASSUMING ITS THE ANSWER BC ITS THE ONLY ONE THAT MAKES SENSE
(Help fast plz)Which of these tables represents a linear function
Answer:
Step-by-step explanation:
3rd one
this is homework. please help with the answer for both 11a and 11b :))
Help, Help, Help, Help, Help,
Step-by-step explanation:
answer is in photo above
Answer:
0.25
Step-by-step explanation:
f(1)=(1/4)^1
0.25