The amount of interest is 208.74$
Here we have given
Amount (P)=850$
Interest (r)=12.25%
Time (t)=2 years
we have to calculate the simple interest
What is the formula for simple interest?
[tex]I=\frac{PRT}{100}[/tex]
Plug the given value in above formula
[tex]I=\frac{850*12.25*2}{100}[/tex]
Simplify above equation we get
[tex]I=\frac{850*12.25*2}{100}\\\\I=\frac{20874}{100}\\\\I=208.74[/tex]
Therefore the amount of interest is 208.74$
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Mr. Torres took his students to the dolphin show. Each row in the stadium had 9 seats. One adult sat at each end of a row, and each group of 3 students was seated between 2 adults. Mr. Torres sat by himself. How many adults were there? gr4ch02l09pg08451 There were adults including Mr. Torres.
Answer:
There were 4 adults; including Mr. Torres
Step-by-step explanation:
- Each row in the stadium had 9 seats
- Mr. Torres sat by himself; he sat on a row with nobody else (no students, no adults)
- The arrangement of the students and the adults who sat with them on same row is: A S S S A S S S A
1 2 3 4 5 6 7 8 9
since 1 adult sat at each end of a/the row and each group of 3 students was seated between 2 adults.
So the total number of adults that were present = 3 + 1 = 4
Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of \$65$65dollar sign, 65 along with an hourly rate of \$28$28dollar sign, 28. The plumber only charges for a whole number of hours. Anand would like to spend no more than \$250$250dollar sign, 250, and he wonders how many hours of work he can afford. Let HHH represent the whole number of hours that the plumber works.
Answer:
Anand can afford is 6hoursStep-by-step explanation:
Let H represent the whole number of hours that the plumber works.
given that the fixed cost is $65
and the hourly cost is $28
also given that Anand has a total of $250 with him
the total cost can be expressed in terms of the number of hours H as
250=65+28H
we can now solve for H
250-65=28H
185=28H
divide both sides by 28
H=185/28
H=6.60714285714
"The plumber only charges for a whole number of hours."
So the number of hours Anand can afford is 6hours
Answer:
Anand can afford is 6hours
Step-by-step explanation:
Let H represent the whole number of hours that the plumber works.
given that the fixed cost is $65
and the hourly cost is $28
also given that Anand has a total of $250 with him
the total cost can be expressed in terms of the number of hours H as
250=65+28H
we can now solve for H
250-65=28H
185=28H
divide both sides by 28
H=185/28
H=6.60714285714
"The plumber only charges for a whole number of hours."
So the number of hours Anand can afford is 6hours
what’s the quotient of -21/-3?
Answer:
7
Step-by-step explanation:
When dividing two negative numbers, the negatives cancel out, leaving you with simply 21/3. As you probably know, 21/3 is 7.
Write a slope intercept equation for line with the given characteristics m=-3/5 passes through (4,-4)
Step-by-step explanation:
Hey there!
Given;
Slope (m) = -3/5
And passes through the point(4,-4).
Now; The equation of a line in slope intercept form is y= mx+b.
So, try to bring it in y= mx+b form.
Firstly let's use one-point formula.
[tex](y - y1) = m(x - x1)[/tex]
Now, keep all values.
[tex](y + 4) = \frac{ - 3}{5} (x - 4)[/tex]
Now, simplify to get answer.
[tex]5(y + 4) = - 3(x - 4)[/tex]
[tex]5y + 20 = - 3x + 12[/tex]
[tex]5y = - 3x + 12 - 20[/tex]
[tex]5y = - 3x - 8[/tex]
[tex]y = \frac{ - 3}{5} x - \frac{8}{5} [/tex]
Therefore the equation is y = -3/5x - 8/5.
Hope it helps...
PLEASE HELP ME !!!!!!!!!! O///O
Write an equation that has a slope of 4 and a y-intercept of (0,1).
Answer:
y=4x+1
Step-by-step explanation:
I’m guessing the equation needed to be in the y=Mx+b form. If so, m is your slope and b is your y-intercept.
Answer:
y - 1 = 4 ( x - 0 )
Step-by-step explanation:
point slope form
Ms. Howard wrote a test. Part A had true/false questions, each worth points. Part B had multiple choice questions, each worth points. She made the number of points for Part A equal the number of points for Part B. It was the least number of points for which this was possible.
Full question attached
Answer and explanation:
Since x = number of true or false questions correct
And y = number of multiple choice questions correct
And each question for x =2 points
each question for y=3 points
since she then needs a total score of more than 93 to pass, we add up total correct questions and
Inequality equation = 2x +3y >93
Given A(2,14), B(2,3), C(4,2) and D(14,2) what about AB?
operaciones complejas raiz de -100
Answer:
Step-by-step explanation:
10 i
es esto
14. Craig jogs 12 km in 1 h. If he jogs at the
same rate, how long will it take him to jog
18 km?
Answer: 1:30 (one hour and thirty minutes)
Step-by-step explanation:
If he jogs 12 km in an hour, and he wants to jog 18 km, you divide 12 km from when he jogged for and hour by 2 and get 6. Add 12 km to 6 km, and get 18 km in one hour and thirty minutes. So, basically 6 km every 30 minutes.
Answer:
1.5 hours
Step-by-step explanation:
12/1 = 18/x
X = 18/12 = 1.5 hours
How many 3/20 inch lengths are in 5 2/5 inches?
Answer:
0.81
Step-by-step explanation:
Which statement is true about the transformation?
An
Step-by-step explanation:
Answer:
Step-by-step explanation:
Which statement is true about the transformation? It is isometric because not all side lengths and angle measures remained the same. It is isometric because all side lengths and angle measures remained the same. It is not isometric because not all side lengths and angle measures remained the same.
simply the following 2m⁵×5m³×7m²
Answer:
[tex]2m^5\cdot 5m^3\cdot 7m^2=70\cdot m^{10}[/tex]
Step-by-step explanation:
Simplify the expression
[tex]2m^5\cdot 5m^3\cdot 7m^2[/tex]
Calculate the product of the coefficients:
2*5*7=70
Compute the product of the variables. Since they are all the same letter, sum their exponents:
[tex]m^5\cdot m^3\cdot m^2=m^{5+3+2}=m^{10}[/tex]
Combine the results:
[tex]\boxed{2m^5\cdot 5m^3\cdot 7m^2=70\cdot m^{10}}[/tex]
What is the measure of angle x? 62" X
Answer:
c
Step-by-step explanation:
62+90=152
180-152=28
the sum of the interior angles must equal 180 degrees
Angle x measures 28°
What is triangle?A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.
Given,
In the figure, interior angles of triangle measures =
62°, right angle = 90°, x
Sum of interior angles of a triangle = 180°
⇒ 62° + 90° + x = 180°
⇒ 152° + x = 180°
⇒ x = 180° - 152°
⇒ x = 28°
Hence, 28° is the measure of angle x.
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A scientist studied bacteria.
She placed 4 bacteria in a dish.
The population of bacteria triples every 12 hours
Which equation can be used to determine the number of bacteria, y, present after x days?
O y = 4(3)x
O y=4(6)x
O y = 4(3) 2x
O y = 4(6) 2x
Answer:
the answer to the question is A
An equation is formed of two equal expressions. The equation can be used to determine the number of bacteria, y, present after x days is y = 4(3)²ˣ.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Scientists placed 4 bacteria in a dish. The population of bacteria triples every 12 hours. Therefore, the equation that can be used to determine the number of bacteria, y, present after x days are:
y = 4(3)²ˣ
Hence, The equation can be used to determine the number of bacteria, y, present after x days is y = 4(3)²ˣ.
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Workers have been down the street installing two blinking red lights in front of the fire station. The two lights are always turned on at the same time. Both lights blink as they are turned on. One lights blinks after every 8 seconds. The other light blinks every 22 seconds. After how many seconds will they blink together again?
Answer:
After 88 seconds, they will blink together.
Step-by-step explanation:
Time after which the first light blinks = 8 seconds
Time after which the second light blinks = 22 seconds
Initially, both the lights blink together.
To find:
The time at which they will blink together again.
Solution:
Let us have a look at the time after which each light will blink.
First light will blink after:
8 s, 16 s, 24 s, 32 s, 40 s, 48 s, 56 s, 64 s, 72 s, 80 s, 88 s, 96 s, 104 s, ......
Second light will blink after:
22 s, 44 s, 66 s, 88 s, 110 s, .....
It can be seen that common time is 88 second, at which the both will blink together.
So, the answer is 88 s.
This answer can also be computed by taking the LCM (Least Common Multiple) of both the numbers i.e. 8 and 22.
Using the factorization method:
[tex]8=\underline{2}\times 2\times 2[/tex]
[tex]22=\underline{2}\times 11[/tex]
Common is 2.
Therefore the LCM will be:
[tex]2\times 2\times2\times 11 = \bold{88}[/tex]
So, the answer is 88 s.
y=3x y=18 solve for x
Answer:
6=x
Step-by-step explanation:
y= 18; y= 3x
18=3x
18/3 = 3x/3
6=x
Hope this helps!
x2 + 45x = -200 Using the quadratic formual and the discirimnat
Answer:
Positive discriminant = 2 real solution
x= -5,-40
Step-by-step explanation:
The discriminant is used to see how many solutions an equation has. If it is negative, the equation has no real solutions, if =0 the equation has 1, and if it is positive, the equation has two real solutions.
The discriminant is the part of the quadratic formula inside the square root:
[tex]b^{2}-4ac[/tex]
Every quadratic formula has the structure:
[tex]ax^{2} +bx+c=0[/tex]
So first, in order to meet this structure we need to add 200 to both sides so the equation is equal to 0. This gives us:
[tex]x^{2} +45x+200=0[/tex]
Our a=1, b=45 and c=200
Now we can substitute these values into the discriminant:
[tex](45)^{2} -4(1)(200)[/tex]
Solve:
[tex]2025-800=1225[/tex]
The discriminant is a positive number which means this equation will have 2 real solution. Now we just need to plug in our values into the quadratic formula to solve this equation. Quadratic formula:
[tex]x=\frac{-+/-\sqrt{b^{2}-4ac} }{2a} \\x=\frac{-45+/-\sqrt{1225} }{2}[/tex]
(Same discriminant value)
[tex]x=\frac{-45+/-35}{2}[/tex]
Now to find the two solutions, we use both signs in the equation. Solution 1:
[tex]x=\frac{-45+35}{2}[/tex]
[tex]x=\frac{-10}{2}=-5[/tex]
Our first solution is -5, now for the second:
[tex]x=\frac{-45-35}{2}\\\\ x=\frac{-80}{2}=-40[/tex]
The two solution to this equation are -5 and -40.
Hope this helped!
2. La suma de los cuadrados de dos números reales pares consecutivos es 52
Encuentra los números
Answer: ±4 y ±6
Step-by-step explanation:
Algunas definiciones:
Sea N un numero real.
El cuadrado de un numero es:
N^2.
Ahora, nos dicen que N es par, entonces podemos escribir:
N = 2*n
donde n es un numero entero.
Y el par consecutivo a N, va a ser M = N + 2.
M = 2*n + 2.
Entonces:
"La suma de los cuadrados de dos números reales pares consecutivos es 52"
(2n)^2 + (2n + 2)^2 = 52
Tenemos que resolver esto para n.
4n^2 + 4n^2 + 8n + 4 = 52
Entonces tenemos una ecuación cuadrática:
8*n^2 + 8n + 4 - 52 = 0
8*n^2 + 8n - 48 = 0
Antes de usar la ecuación de Bhaskara, dividamos todos los coeficientes por un factor común, en este caso 8 es un factor común:
(8*n^2 + 4n - 48)/8 = n^2 + n - 6 = 0.
Ahora resolvamos esto para n, las dos soluciones son
[tex]n = \frac{-1 +-\sqrt{1^2 - 4*1*-6} }{1*2} = \frac{-1 +- 5 }{2}[/tex]
Entonces las dos soluciones son:
n = (-1 - 5)/2 = -3
n = (-1 + 5)/2 = 2
Entonces, si tomamos la primer solucion, los numeros consecutivos son:
N = 2*-3 = -6
M = N + 2 = -4
Si tomamos la segunda solucion, n = 2.
N = 2*2 = 4.
M = N + 2 = 6.
Entonces podemos concluir que las soluciones son:
±4 y ±6
Melanie had 3 pounds of dried fruit. She packed the dried fruit into bags of 3/8 pound each. How many bags of dry fruit does she pack?
Answer: 8 bags
Step-by-step explanation:
From the question, we are informed that Melanie had 3 pounds of dried fruit and that she packed the dried fruit into bags of 3/8 pound each.
For us to get the number of bags of dry fruit does she will pack, we have to divide 3 pounds by 3/8 pounds. This will be:
= 3 ÷ (3/8)
= 3 × (8/3)
= 8
Therefore, she will pack 8 bags of dried fruit.
Beth has to choose which trail to hike. Trail A is 3 miles long, all uphill, with an elevation change of 900 feet. Trail B is 1 mile long, also uphill, with an elevation change of 700 feet.
1. Which trail do you think would be more difficult to hike up?
2. Explain your answer to question
find the value of x - PLEASE HELP
I need to show my work -
Thank you!!
Answer:
360=297+(x-36)+25
360=297+25-36+x
360=286+x
360-286=x
74=x
Answer:
x = 74 degree
Step-by-step explanation:
All those angles must add up to 360 degrees:
360 degrees = (297 + x - 36 + 25) deg, or
360 = 297 - 36 + 25 + x, or
x = 74 degrees
Ian purchased cans of soda for a party he was having. For every 12 cans of soda she payed $4.98. What is the cost per can of soda?
The cost of each can of soda is $
i need this quik and now
$.40
Step-by-step explanation:
if you want the full one it's .415
What should you add to this problem?
(2x^3 + 5x^2 + 9) / (x + 3)
A) 0x^4
B) 0x^2
C) 0x^3
D) 0x
Evaluate the following expression when x = -1, y = 2, z = -3, and
w = 4.
x² - y²
Answer:
-3
Step-by-step explanation:
-1*-1=1
2*2=4
1-4
=-3
Vaness’s team won their softball game and scored sixty-three points total. If Vanessa scored fifteen of the points and everyone else scored six points each, how many players were on her team?
BRAINLIST!!!!!!!!!
which one is a function???
Answer: C
i hope this helps
Raymond uses the Venmo
app to transfer money to
his friends. He had $6.50.
He gave $2.95 to Theresa
and received $1.26 from
Peyton. How much money
does he have now?
Answer:
2.29
Step-by-step explanation:
2.95 plus 1.26 is 4.21, and 6.50 minus 4.21 is 2.29.
If ∠1 and ∠2 are complementary, m∠1 = (8x-6)°, and m∠2 = (14x+8)°
URGENT PLEASE HELP
Answer:
D
Step-by-step explanation:
It cost Samantha $4.23 to send 47 text messages. How much does each text cost to send?
Answer:
456
Step-by-step explanation:
Answer:
i think its 0.09
Step-by-step explanation:
ITS SUPER EASY PLEASE HELP ITS DUE IN AN HOUR PLEASEEEEEEEEEEEEEEEEEEEEEE
Answer:
- 84
Step-by-step explanation:
I think answer to this question is -28
I hope it will be correct