Answer:
Los padres de la promoción deben elegir la Opción 1, porque da un mayor interés en la inversión.
Step-by-step explanation:
El monto recaudado por la escuela secundaria = S / 24,000
Las opciones que tienen los padres para depositar el dinero son;
Opción 1:
El interés simple del depósito = 10%
El número de veces que se aplica el interés anualmente = Trimestral
El número de años para el depósito = 2 años
opcion 2
La tasa de interés del depósito, r = 18% de interés simple.
El número de veces que se aplica el interés = Semestralmente
La cantidad de años que se ahorrará la cantidad = 2 años
Opción 1
Observamos que para el interés simple no hay interés ganado sobre el interés anterior.
Por lo tanto;
Una inversión que paga el 10% trimestralmente = (1/4) año pagará 4 × 10% = 40% en 4 × (1/4) año = 1 año
La cantidad de interés ganado en 2 años invirtiendo en la opción 1 se da como sigue;
Yo = P × R × T / (100)
∴ I₁ = 24.000 × 40 × 2/100 = 19.200
El interés después de 2 años en la opción 1, I₁ = S /. 19.200
opcion 2
Una inversión que paga 18% semestralmente = (1/2) año pagará 2 × 18% = 36% en 2 × (1/2) año = 1 año
La cantidad de interés ganado en 2 años invirtiendo en la opción 2 se da a continuación;
Yo = P × R × T / (100)
∴ I₂ = 24.000 × 36 × 2/100 = 17.280
El interés después de 2 años en la opción 2, I₂ = S /. 17.280
Dado que el interés dado por la opción 1, I₁ = S / .19,200 es mayor que el interés dado por la opción 2, I₂ = S /. 17.280, los padres de la promoción deben elegir la opción 1, que es depositar durante 2 años que paga un interés simple trimestral del 10%
Simplify √27x². I know the answer is 3x√3, but my teacher wants me to show how I solved it and i dont know how...please help.
Answer:
[tex]3\sqrt{3}x[/tex]
Step-by-step explanation:
Expand √27x² in such a way that it is the :-
Product of at either two or more perfect square numbers or,Product of two or more numbers out of which one (or more) is a perfect square number.So ,
[tex]\sqrt{27x^2} = \sqrt{9 \times 3 \times x^2}= 3 \times \sqrt{3} \times x = 3\sqrt{3}x[/tex]
Please help I am confused explain your answer and brainliest
Answer:
Technically Andrew since his sum is technically "higher" than the rest of the negative numbers.
Answer:
Andrew
Step-by-step explanation:
Andrew since his sum is practically greater than the rest of the negative numbers.
Find the perimeter of triangle ABC with vertices A(–5, –2), B(–2, –2), and C(–5, 2).
Answer:
12 units
Step-by-step explanation:
the perimeter = AB+AC+BC=
3+4+5 = 12
Answer:
12 units
Step-by-step explanation:
AB = 3 units
BC = 5 units
CA = 4 units
Perimeter of triangle,
→ AB + BC + CA
→ 3 + 5 + 4
→ 12 units is the answer.
Solve.
3x+4y=−15
2x−2y=−3
Zahra reads 45 words per minute. at this rate. how many minutes will it take for her to read 180 words
Answer:
4 minutes
Step-by-step explanation:
I will use ratios for this equation:
[tex]\frac{1}{45} =\frac{x}{180} \\\\45x=180\\x=4[/tex]
It will take Zahra 4 minutes to read 180 words because she reads 45 words PER minute.
what is 6 copies of 1/8
Answer:
6/8 or 1/8 1/8 1/8 1/8 1/8 1/8
Step-by-step explanation:
6/8 simplified is 6/2=3 8/2=4 so it is 3/4
Darnell ran 550 yards in 3 minutes. At this rate, how many yards can he run in 6 minutes?
Answer:
Darnell can run 1100 yards in 6 minutes
Step-by-step explanation:
There are 2 ways you can solve this
Method 1: You would have to divide 550 by 3 which you would get about 183, (the exact answer is very long so I recommend using a calculator). Then you multiply that by 6 to get 1100.
Method 2: This one would probably be easier. Since 3 x 2 is 6 then you can multiply 550 x 2 to get 1100.
I hope this helps!
Answer:
1100 yards
Step-by-step explanation:
Write it as an equation
550/3 = x/6
Cross multiply :
550 * 6 = 3x
3300 = 3x
x = 1100
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Solve for the value of x.
Step-by-step explanation:
9x-4+6x+4=180 ( being straight angle)
15x=180
x=180/15
x=12
I hope it help you
Drag the sliders.
Shape A
Shape B
Which slider creates scale copies of the shape?
Choose 1 answer:
Slider for Shape A
Slider for Shape B
if there are 24 tires, how many cars are there?
Answer:
each car have 4 tires, so 24/4=6
there are 6 cars
A backpack normally costs $25 but it is on scale for $16.25. What percentage is on discount? Please help, I have a test rn:((
Answer: 16%
Step-by-step explanation:
$25 - $21 = $4
Percentage = 100[discount / (original price)] % = 100($4 / $25) % = 16%
Find the side length x
Answer:
x = 10
Step-by-step explanation:
8² + 6² = x²
64 + 36 = x
64 + 36 = 100
√100 = 10
[tex]\huge\bold{To\:find:}[/tex]
✎ The length of the hypotenuse ''[tex]x[/tex]".
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\sf\purple{The\:length\:of\:the\:hypotenuse \:"x"\:is\:10.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
Using Pythagoras theorem, we have
[tex] ( {hypotenuse})^{2} = ( {perpendicular})^{2} + ( {base})^{2} \\ ⇢ {x}^{2} = {6}^{2} + {8}^{2} \\ ⇢ {x}^{2} = 36 + 64 \\ ⇢ {x}^{2} = 100 \\ ⇢ x = \sqrt{100} \\ ⇢x = \sqrt{10 \times 10} \\ ⇢x = \sqrt{ ({10})^{2} } \\ ⇢x = 10[/tex]
[tex]\sf\blue{Therefore,\:the\:length\:of\:the\:hypotenuse\:is\:10.}[/tex]
[tex]\huge\bold{To\:verify :}[/tex]
[tex] {x}^{2} = {6}^{2} + {8}^{2} \\⇝ ({10})^{2} = 36 + 64 \\ ⇝10 \times 10 = 100 \\ ⇝100 = 100 \\ ⇝L.H.S.=R. H. S[/tex]
Hence verified. ✔
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
A basketball tosses a ball to a teammate. The ball reaches a maximum height of 11 feet 3 seconds after it was released. If the ball is thrown from a height of 6 feet, write a quadratic equation that represents the height of the ball as a function of time
Answer:
h = - 16t² + 49.67t + 6
Step-by-step explanation:
The expression for the height of the basketball, h at time, t is given by
h - h₀ = u₀t - 1/2gt² where h₀ = initial height of ball = 6 feet, h = maximum height of ball = 11 feet, u₀ = initial vertical velocity of ball, t = time taken to reach maximum height = 3 s and g = acceleration due to gravity =9.8 m/s².
We need to find u₀ from u = u₀ -
So, h - h₀ = u₀t - 1/2gt²
h - h₀ + 1/2gt² = u₀t
u₀ = (h - h₀)/t + 1/2gt
substituting the values of the variables into the equation, we have
u₀ = (h - h₀)/t + 1/2gt
u₀ = (11 ft - 6 ft)/3s + 1/2 × 32 ft/s² × 3 s
u₀ = 5 ft/3s + 1/2 × 96 ft/s
u₀ = 1.67 ft/s + 48 ft/s
u₀ = 49.67 ft/s
Using h - h₀ = u₀t - 1/2gt² where h is the height of the basketball at time, t
h = u₀t - 1/2gt² + h₀
substituting the values of the variables into the equation, we have
h = u₀t - 1/2gt² + h₀
h = (49.67ft/s)t - 1/2(32 ft/s²)t² + 6 ft
h = 49.67t - 16t² + 6
h = - 16t² + 49.67t + 6
Taylor invested $2500 in an account that pays 3.7% interest compounded monthly. If Taylor does not touch the money, what will the balance of the account be after 7 years?
Answer:
hehe
Step-by-step explanation:
Can someone help me with this please
Answer:
where is the diagram?
Step-by-step explanation:
Which of these is NOT an example of flood control?
Group of answer choices
Building your house next to a river
Building a dam
Having levees in the ocean
Creating storm drains on a street
What can humans do to help stop beach erosion?
Group of answer choices
Beach restoration by pumping sand from the ocean
Stop visiting the beach
Rinse off when leaving the beach
Not allow animals to live on the beach
Answer:
For number one the answer is A and the second answer is A too.
Step-by-step explanation:
Answer: Building your house next to a river and Beach restoration by pumping sand from the ocean (While this does not prevent erosion, it can reduce storm damage to coastal development & infrastructure.)
Step-by-step explanation:
PLS HELP
What is the value of x ?
A. 42
B. 43
C. 84
D. 86
Answer:
B
Step-by-step explanation:
x+x+94 = 180 (sum of angle of triangle)
2x+94 = 180
2x = 180-94
2x = 86
x = 86÷2
Therefore x = 43
please help!! choices for for the first one is $5, $15, $10, $20
Answer:
5, 240
Step-by-step explanation:
simplify the question
Answer:
[tex] \frac{2}{x - 3} - \frac{12}{ {x}^{2} - 9} \\ = \frac{2}{x - 3} - \frac{12}{(x - 3)(x + 3)} \\ = \frac{2(x + 3) - 12}{( {x}^{2} - 9)} \\ = \frac{2x - 6}{( {x}^{2} - 9)} \\ = \frac{2(x - 3)}{(x - 3)(x + 3)} \\ = \frac{2}{x + 3} [/tex]
AABC is a right triangle. AB=____
Since ABC is a right triangle, we can use Pythagorean Theorem to solve for side AB.
Pythagorean Theorem: a^2 + b^2 = c^2
4^2 + 7^2 = c^2
16 + 49 = c^2
65 = c^2
c = 8.06
Hope this helps!! :)
Answer:
8.06
Step-by-step explanation:
Well the formula for this is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
The sides given are called the opposite and the adjacent, which, in this formula correspond to a and b. What you are trying to find is called the hypotenuse, and in this formula, c.
First you need to square a and b, like in the formula:
[tex]4^{2}[/tex] = 16
[tex]7^{2}[/tex] = 49
Now you add these together to find [tex]c^{2}[/tex]:
16 + 49 = 65
So [tex]c^{2}[/tex] is 65, and to find c you need to square root that:
[tex]\sqrt{65}[/tex] = 8.0622577...
So its approximately 8, and more accurately 8.06
Sasha borrows $100 at 12% simple interest, to be paid back in one year . How much does she pay back
Answer:
$289 I think
Step-by-step explanation:
$289 I think
sorry if I am wrong
What does the m represent in the function? 2m +6
Help
Answer:
the variable
Step-by-step explanation:
m is the variable
Pls help.
Question above
Answer:
[tex]m = \frac{5}{2} [/tex]
Step-by-step explanation:
Here are the laws which would be used in this question:
Indices:
• [tex] \sqrt{a} = {a}^{ \frac{1}{2} } [/tex]
• [tex] \frac{1}{a} = {a}^{ - 1} [/tex]
Logarithm
• [tex] log_{a}( {x}^{n} ) = n log_{a}(x) [/tex]
[tex] log_{m}( \sqrt{2} ) + log_{m}(8) + log_{m}( \frac{1}{2} ) [/tex]
[tex] = log_{m}( {2}^{ \frac{1}{2} } ) + log_{m}( {2}^{3} ) + log_{m}( {2}^{ - 1} ) [/tex]
[tex] = \frac{1}{2} log_{m}(2) + 3 log_{m}(2) - log_{m}(2) [/tex]
[tex] = \frac{5}{2} log_{m}(2) [/tex]
Johnny wants to buy a set of drums that cost $2000, it requires a 15% down payment. The remainder plus an additional finance charge is paid back on a monthly basis of 25 months. the monthly payment is $80. What is the finance charge.
Answer: The finance charge = $ 300
Step-by-step explanation:
Given: cost of drums = $ 2000
Down payment = 15% of 2000
= 0.15 x 2000
= $300
Total installments = (Number of months) x (Monthly charge)
= 25 x $ 80
= $ 2000
Finance charge = Down payment + Total installments - cost of drums
= $ (300+2000-2000)
= $ 300
Hence, the finance charge = $ 300
if anyone could just look at my recent question pls its super easy its just simplyfing
Answer: K
Step-by-step explanation:
Ill do it
What is 45 quarts= ___ cups
Answer:
180
Step-by-step explanation: You could of looked it up I did
(4x²y³ + 2xy² - 2y) - (-7x²y³ + 6xy² - 2y)
Answer:
Simplified it would be 11x^2y^2 - 4xy^
Answer:
11x²y³ - 4xy²
Step-by-step explanation:
is the answer if simplified.
Work out the value of 3.1^4
Answer: It's 92.3521 Hope that helps Goodbye!
Step-by-step explanation: 3.1×3.1= 9.61× 3.1= 29.791 ×3.1 = 92.3521 because it's the power to 4 3.1×3.1×3.1×3.1 so that telling you to multiply 3.1 four times. Can you please make me Brainliest
(-1,11) reflected over the y axis
(-3,-9) reflected over the y axis
(2, -7 reflected over the y axis
Answer:
See explanation
Step-by-step explanation:
Reflecting over the y axis does not change the Y value. It multiplies the x value by -1.
So (-1,11) is (1,11)
And (-3,-9) would become (3,-9)
And (2,-7) would become (-2,-7)
A fish starts at -8 m and jumps up 13 m, what is the fishes new elevation?
Answer:
the fish is now at 5 m
Step-by-step explanation:
13-8=5