co.op
interest = principle * rate * time in years
8000*0.09*1= 720$
total owed =
principle + interest
8000+720= 8720$
bank
interest = principle * rate * time in years
interest = principle * rate * time in years8000*0.06*1= 480$
principle + interest
8000+480= 8480$
......
6)
Bank A
interest = 1500*2*0.18= 540$
total owed = 1500+540= 2040$
Bank B
compound interest =
1500(1+0.12)^2
compound interest= 1881.6
total owed = 1500+1881.6= 3381.6$
she should choose Bank A less total owed
she'll have to pay the bank 2040$
If a^2+b^2=5 and a+b=3, then ab=
Answer:
ab = 2
Step-by-step explanation:
You know that ...
(a +b)^2 = a^2 +2ab +b^2
Rearranging, we can solve for ab ...
2ab = (a^2 +b^2) -(a +b)^2
ab = ((a +b)^2 -(a^2 +b^2))/2 = (3^2 -5)/2
ab = 2
FREE
y
A
What is the pre-image of vertex A' if the image shown
on the graph was created by a reflection across the y-
axis?
8
X
0 (-8,-6)
O (-6, 8)
O (86)
O (6.-8)
C
B
Mark this and return
Save and Exit
Next
Submit
NO LINK PLEASE. OR I WILL REPORT YOU.
Answer:
x = 80
Step-by-step explanation:
Both angles together form 180, therefore x is 80
Answer:
x = 80
Step-by-step explanation:
100 and x form a straight line so they add to 180
x+100 =180
Subtract 100 from each side
x = 180-100
x = 80
Please give real answers with an explaination. 50 points + I will give the brainliest. No Docs/No Files/No Links only answer with explaination.
Answer:
x = 134
Step-by-step explanation:
Exterior angle = sum of opposite interior angles
= 90 + 44 = 134
OR
Sum of angles of triangle = 180
that is,
90 + 44 +y = 180
y = 180 - 134
y = 46
x + y = 180 [ straight line angles ]
x + 46 = 180
x = 180 - 46 = 134
Answer:
x = 134
Step-by-step explanation:
triangle sum theorem states that the sum of all angles within a triangle is equal to 180 degrees. using this we can figure out that the missing angle in the triangle is 46.
a straight line is also equal to 180 degrees, so to find the adjacent angle, we subtract 46 from 180, and we get 134
I really help on this question
Answer:
jojo reference
Step-by-step explanation:
i need the answerr please!!!!!
Answer:
D 6
Step-by-step explanation:
The range is the values that y can take
The only value that y can take is 6
Answer:d 6
Step-by-step explanation:
simple interest 34,100 at 4% for 3 years
Answer:
Step-by-step explanation:
.....
I don’t wanna get wrong
Answer:
I think the answer is yes
Multiply x by 12 to get y
Lexon is standing 7.05 meters away from the statue off the Merlin mp at Merlin park Singapore the height of her eyes from her feet is 1.55 meters given that the angle of elevation of the top of the statue from her eyes is 42゚ find the height of the statue
Answer:
7.9m
Step-by-step explanation:
We solve using the Trigonometric function of Tangent
tan θ = Opposite/Adjacent
Opposite = x
Adjacent = 7.05m
We solve for x
tan 42 = x /7.05m
Cross Multiply
tan 42 × 7.05 = x
x = 6.3478485123m
Approximately = 6.35m
Height of the statue = x + 1.55
Hence, = 6.35m + 1.55m
= 7.9m
The height of the statue = 7.9 meters
Please help I’ll give brainliest
Answer:
R = 13%
Step-by-step explanation:
P = $4000
I = $780
T = 18 months = 18/12 years
[tex]I = \frac{PRT}{100} \\\\780 = \frac{ 4000 \times R \times \frac{18}{12}}{100}\\\\780 = \frac{6000 \times R }{100}\\\\780 = 60R\\\\R = \frac{780}{60} = 13 \%[/tex]
Find numbers a and b, or k, so that f is continuous at every point.
Answer:
[tex] \boxed{k = 7} [/tex]
Step-by-step explanation:
When interpreting this piecewise function, to determine whether or not the function is continuous, the limit to the left must be the same as the limit to the right.
Therefore to find an a value where the function is continuous at every point, we must determine where the limit is for the function.
In this case, the function is continuous at x = 7.
lim x→7 [x²] = lim x→7 [kx].
(7)² = k(7)
49 = 7k
÷7 ÷7
7 = k
k = 7.
At a sale on winter clothing, Cody bought four pairs of gloves and four hats for $36.00. Tori bought three pairs of gloves and four hats for $31.00. What were the prices for the gloves and hats?
Answer:
gloves cost $5
hats cost $4
Step-by-step explanation:
four pairs of gloves and four hats for $36.00
4g + 4h = 36
three pairs of gloves and four hats for $31.00
3g + 4h = 31
-------------------------
Subtract the second equation from the first
4g + 4h = 36
-( 3g + 4h = 31 )
––––––––––––
g = 5
gloves cost $5
substitute for g = 5 into either equation
4(5) + 4h = 36
20 + 4h = 36
Subtract 20 from both sides
4h = 16
Divide both sides by 4
h = 4
hats cost $4
QUICKK a Square board has area of 2 ft.² what is the length of one side of the board
Answer:
√2 ft.
Step-by-step explanation:
⇒ Area of square board = 2 ft.²
⇒ (Side of the board)² = 2 ft.²
⇒ Side of the board = √(2 ft.²)
⇒ Side of the board = √2 ft.
[tex]why \: \: do \: we \: need \: food \: \: \: \: {?} [/tex]
Answer:
to survive
Step-by-step explanation:
if you don't eat you are gonna died➡
you save 2/5 of your allowance every week. if you receive $40 per week
how much money will you have after 8 weeks
Answer:
$128
Step-by-step explanation:
2/5 × $40= $16
$16×8= $128
What kind of sequence is this? (Need an answer fast lol.)
i dont know anymore
ok it was arithmetic
Answer:
arithmetic
Step-by-step explanation:
because this number is increasing by 7 in each
En la inaguracion de unos juegos olimpicos, los 38 representantes de una nacion quieren desfilar formando columnas de 6¿es posible?¿de que modo podria desfilar formando columnas iguales?
Answer:
a) No
b) Sí
Step-by-step explanation:
a) En la inauguración de unos Juegos Olímpicos, los 38 representantes de una nación quieren desfilar en columnas de 6, ¿es posible?
Esto se calcula como
38 representantes / 6 columnas
= 6 2/6 = 6 1/3 columnas
No, no es posible, tendríamos 7 columnas con 6 columnas con representantes iguales de 6 y la séptima columna tendría solo 2 representantes allí
b) ¿Cómo podrían desfilar en columnas iguales?
Sí pueden
Esto se calcula como 38 representantes ÷ 2
= 19 columnas
Podemos tener 19 columnas con 2 representantes cada una
If you deposit $350 in an account that compounds interest continuously at 6.3%, how long will ittake to double your money?
Answer:
11 years
Step-by-step explanation:
Double of the amount deposited = $350 × 2 = $700
First, convert R as a percent to r as a decimal
r = R/100
R = 6.3%
Hence,
r = 6.3/100
r = 0.063 per year,
Then, solve the equation for t = time, the formula is given as:
t = ln(A/P) / r
A = Doubled amount = $700
P = Principal = Initial amount = $350
t = ln(700.00/350.00) / 0.063
t = 11.002 years
Approximately , t = 11 years
Therefore, it will take 11 years for your money to double.
Nvm, I know it's KM for this one y'all.
Answer:
If the question is asking which line is the radius then yes
Step-by-step explanation:
I need help i'm struggling with this work
Answer:
[tex]y=0.5x+2[/tex]
Step-by-step explanation:
Finding the inverse of a function is essentially finding the complete opposite of a given function. An easy trick can be used to find the inverse of a function. This trick is essentially thinking of the evaluator (f(x)) as another variable. Solve the function for (x) in terms of (f(x)); use inverse operations to do so. After completing this process, rewrite the function such that it is in the inverse function notation; switch the position of the (f(x)) and the (x), then indicate that it is an inverse function.
[tex]f(x)=2x-4[/tex]
Inverse operations,
[tex]f(x)=2x-4[/tex]
[tex]f(x)+4=2x[/tex]
[tex]\frac{f(x)+4}{2}=x[/tex]
Simplify,
[tex]0.5f(x)+2=x[/tex]
Rewrite in inverse function notation,
[tex]f^-^1(x)=0.5x+2[/tex]
[tex]y=0.5x+2[/tex]
Algebra Mary decided to travel from home to school which is 600 metres away. She started by walking “x” metres, then ran for twice the distance she walked. Mary then decided to take the bus for the rest of the journey which 65 metres more than the distance she ran. a) State an expression in terms of x for; i) the distance Mary ran [1 mark] ii) the distance Mary travelled by bus . [2 marks] iii) the total distance travelled [ 2 marks] b) Using the balancing method, solve the equation, hence state the distance Mary walked. [4 marks]
Answer:
Step-by-step explanation:
Distance traveled by walking = x
i) The distance Mary run = 2 *x = 2x
ii) Distance traveled by bus = 65 m more than the distance she ran
= 65 m more than 2x
Distance traveled by bus = 2x + 65
Total distance traveled = 600 m
x + 2x + 2x +65 = 600
5x + 65 = 600
5x = 600 - 65
5x = 535
x = 535/5
x = 107
Distance Mary walked = 107 m
What is the value of
4/3 divided by 2/5 ?
Answer:
4/3 ÷ 2/5
= 4/3 × 5/2
= 4×5/3×2
= 20/6
= 10/3 = 3 1/3 or 3.3333
En un colegio la cantidad de cuadernos y libros estan en la razon 2 es a 3. Si en total hay 126 cuadernos cuantos libros hay
Answer:
The number of books are 189.
Step-by-step explanation:
ratio of note books to the books = 2 : 3
total notebooks = 126
Let the number of books is x.
So, the ratio is
[tex]\frac{2}{3} = \frac{126}{x}\\\\x = 189[/tex]
So, the number of books are 189.
In the figure shown PS = RQ. which theorem can be used to prove Triangle SQR = Triangle QSP?
I'm not sure which answer it is can you help me?
Answer:
HL (hypotenuse leg)
Step-by-step explanation:
From the diagram, we have two sides that are congruent
The side QS is common to both triangles
Also, we have it that the side PS and QR are congruent
What this mean is that we have two sides that are already the same
Now, looking at the right angle position in both, we can see that QR and PS represents the hypotenuse of individual right angles
Using the HL congruence statement, since we have it that the hypotenuse one side is already congruent, we can conclude that the last side too is congruent and as such both triangles are congruent to each one another
If k = -18 and m = 7, what is m - k?
Submit
Answer:
5
Step-by-step explanation:
Evaluate and substitute:
Sqrt of 7 - (-18)
Sqrt of 7 + 18 = 25
Sqrt of 25 = 5
Therefore, our answer!
Hope this helps, best of luck! :p
Please answer these tree questions in detail...
Will give Brainliest for the best...
Want answer in detail ASAP
Answer:
Step-by-step explanation:
14.
A.
x = 5.0081818181..
10x = 50.08181818181....
100x = 500.81818181818...
100x - x = 500.8181818... - 5. 008181818....
99x = 495.81
[tex]x = \frac{495.81}{99} = \frac{495.81 \times 100}{99 \times 100} \\\\\\x= \frac{49581}{9900}[/tex]
[tex]x = \frac{5509}{1100}[/tex]
14.
B.
[tex]\sqrt{50} - \sqrt{98} + \sqrt{162} \\\\\sqrt{ 2 \times 25} - \sqrt{ 2 \times 49} + \sqrt{2 \times 81}\\\\\sqrt{ 2 \times 5^2} - \sqrt{ 2 \times 7^2} + \sqrt{2 \times 9^2}\\\\5\sqrt2 - 7 \sqrt 2 - 9 \sqrt 2\\\\\sqrt{2} ( 5 - 7 + 9 ) \\\\7\sqrt2[/tex]
15.
[tex]\frac{3 + \sqrt5}{4 - 2\sqrt 5} \\\\= \frac{3 + \sqrt5}{4 - 2\sqrt 5} \times \frac{4 + 2\sqrt5}{4 + 2\sqrt5}\\\\[/tex] [tex][ \ rationalizing \ the \ denominator \ ][/tex]
[tex]=\frac{(3 + \sqrt5)(4 + 2\sqrt5)}{(4 -2 \sqrt5)(4 + 2\sqrt5)}\\\\=\frac{12 + 6 \sqrt5 + 4\sqrt5 + 2(\sqrt5)^2}{(4)^2 - (2\sqrt5)^2}[/tex] [tex][ \ (a - b)(a +b) = a^2 - b^2 \ ][/tex]
[tex]=\frac{12 + 10 + 10\sqrt5}{16 - (4 \times 5)}\\\\=\frac{22 + 10\sqrt5}{16 - 20 }\\\\=\frac{22+ 10 \sqrt5 }{-4}[/tex]
[tex]= \frac{11}{-2} + \frac{5 \sqrt5}{-2}\\\\= -\frac{11}{2} + \frac{-5 }{2} \sqrt5\\\\[/tex]
[tex]a = - \frac{11}{2} , \ b = -\frac{5}{2}[/tex]
16
[tex]\frac{\sqrt7 + 1 }{\sqrt7 - 1} - \frac{\sqrt7 - 1}{\sqrt7 + 1}\\\\[/tex]
[tex]\frac{(\sqrt 7 + 1 )( \sqrt7 + 1)}{(\sqrt7 - 1 )(\sqrt7 + 1)} - \frac{(\sqrt7 - 1)(\sqrt 7 - 1)}{(\sqrt7 + 1)(\sqrt7 - 1)}[/tex] [tex][ \ LCM \ of \ denominators : (\sqrt7 -1)(\sqrt7 + 1) \ ][/tex]
[tex]\frac{(\sqrt 7 + 1 )^2 -( \sqrt7 - 1)^2}{(\sqrt7)^2 - 1^2}[/tex] [tex][ \ (a \pm b)(a \pm b) = (a \pm b)^2 \ (a-b)(a+b) = a^2 - b^2 \ ][/tex]
[tex]=\frac{(7 + 1 + 2\sqrt7) - ( 7 + 1 - 2\sqrt7)}{7 - 1}\\\\=\frac{8 + 2\sqrt7 - 8 + 2\sqrt7}{6}\\\\= \frac{4 \sqrt7}{6}\\\\= \frac{2 \sqrt 7}{3}[/tex]
Determine the x and y intercepts for the line 3x – 5y + 15 = 0. Show your work.
Answer:
Step-by-step explanation:
The x and y intercepts occur when either x or y = 0
For the y intercept, x = 0
3(0) - 5y + 15 = 0
- 5y + 15 = 0 Subtract 15 from both sides.
-5y = - 15 Divide by - 5
-5y / -5 = - 15/-5
y = 3
For x intercept, y = 0
3x - 5(0) + 15 = 0
3x + 15 = 0 Subtract 15 from both sides
3x = - 15 Divide by 3
3x/3 = - 15/3
x = - 5
xintercept = (-5,0)
yintercept = (0,3)
haven't had luck with this question in the past and I need help.
Answer:
pi
Step-by-step explanation:
First find the area of a full circle with radius 2
A = pi r^2
A = pi 2^2
A = 4 pi
We know that this is 1/4 of a circle so take 1/4 of the area
1/4 A = 1/4 (4 pi) = pi
Really need help ?????pls
Answer:
34,833.21 ft³
Step-by-step explanation:
Volume of a cylinder = πr²h
r is the radius
h is the height
Given
height h = 19 3/4 ft
d = 1 1/5h
d = 6/5 * h
d = 6/5 * 19 3/4
d = 6/5 * 79/4
d = 474/20
radius r = 474/20 * 1/2
radius r = 474/40
radus r = 11 34/40
radus r = 11 17/20 ft
Get the volume
V = 3.14 * (474/40)² * 79/4
V = 3.14 * 561.69 * 19.75
V = 34,833.20535
Hence the volume of the cylinder to the nearest hundredth is 34,833.21 ft³
(ii) Using a calculator, or otherwise, determine the exact value, to one decimal place, of 8792-6886 12 X 9
Answer: I did it in the explanation thingy-
Step-by-step explanation:
Step 1. 8792 - 6886 = 1906
Step 2. 12 x 9 108
That... OR the answer is 205848X