Answer:
34
Step-by-step explanation:
A man invested $10,500 for 7 years at 5 ½ % per annum simple interest.
(A) Determine the simple interest payed
(B) Calculate the amount of money he collected after the period of 7 years
Money invested by a man = $10,500
No.of years for which he invested his money = 7
Rate of interest = 5.5%
We know that :
[tex] \tt \: Simple \: interest = \frac{Principal × Rate × Time}{100} [/tex]
Principal = 10500
Rate = 5.5%
Time = 7 years
Simple interest the man payed :
[tex] = \tt\frac{10500 \times 55 \times 7}{10 \times 100} [/tex]
[tex] = \tt \frac{4042500}{1000} [/tex]
[tex] \color{plum}=\tt 4042.50[/tex]
Therefore, the simple interest payed by the man = $4042.50
Solution (B) :Money invested by the man (principal) = $10,500
The simple interest he payed = $4042.50
We know that :
[tex]\tt \: amount = principal + interest[/tex]
The amount the man collected after a period of 7 years :
[tex] = \tt10500 + 4042.50[/tex]
[tex] =\tt 14520.50[/tex]
Thus, amount = $14520.50
Therefore the amount he collected after a period of 7 years = $14520.50
which expression is equivalent to 3 (x - 2) + 2x
Answer:
5x-6
Step-by-step explanation:
Dimas is playing a game that uses a number cube. The sides of the cube are labeled from 1 to 6. Dimas wants to roll a 2 or a 3. He rolls the
number cube one time,
What is the probability that he will roll a 2 or a 3?
Who ever answer FIRST I WILL GIVE YOU BRAINIEST ANSWER
Answer:
The probability that he will roll a 2 or a 3
[tex]P((E_{1} UE_{2} ) = \frac{1}{3}[/tex]
Step-by-step explanation:
Step(i);-
Dimas is playing a game that uses a number cube.
The sides of the cube are labelled from 1 to 6
The total number of Exhaustive cases
n(S) = {1,2,3,4,5,6} = 6
Step(ii):-
Let E₁ be the event of roll a '2'
n(E₁) = 1
The probability that Dimas wants to roll a '2'
[tex]P(E_{1} ) = \frac{n(E_{1} )}{n(S)} = \frac{1}{6}[/tex]
Let E₂ be the event of roll a '3'
n(E₂) = 1
The probability that Dimas wants to roll a '3'
[tex]P(E_{2} ) = \frac{n(E_{2} )}{n(S)} = \frac{1}{6}[/tex]
But E₁ and E₂ are mutually exclusive events
P(E₁∩E₂) = 0
Step(iii):-
The probability that he will roll a 2 or a 3
we have P((E₁UE₂) = P(E₁)+P(E₂)
= [tex]= \frac{1}{6} + \frac{1}{6} = \frac{2}{6} = \frac{1}{3}[/tex]
[tex]P((E_{1} UE_{2} ) = \frac{1}{3}[/tex]
Find the length AB ?
Answer:
AB = 54
Step-by-step explanation:
DE is a midsegment of the triangle and is half of AB , that is
2x + 13 = [tex]\frac{1}{2}[/tex](13x - 37) ← multiply through by 2 to clear the fraction
4x + 26 = 13x - 37 ( subtract 13x from both sides )
- 9x + 26 = - 37 ( subtract 26 from both sides )
- 9x = - 63 ( divide both sides by - 9 )
x = 7
Thus
AB = 13x - 37 = 13(7) - 37 = 91 - 37 = 54
The area of the parallelogram below is ____ square meters.
A parallelogram with height labeled with 8 meters. The top horizontal side is labeled 6 meters. The base of the left triangle formed by the height is 2 meters.
WILL GIVE BRAINLIST WHO EVER ANSWERS
Answer:
48 m²
Step-by-step explanation:
Given that:
Height of parallelogram, h = 8 meters
Base length of parallelogram, b = 6 meters
The Area of a parallelogram is given by :
Base * height
8 meters * 6 meters
= 48 m²
3. A dragonfly traveled at a rate of 35 miles per hour for
2.5 hours. What distance did the dragonfly travel?
Answer:
70 miles
Step-by-step explanation:
You multiply 35 by 2.5
Type the missing numbers in this sequence:
-34, , -18, -10, , 6
Question 3
A cat is chosen at random from a group.
The probability that the cat is male is
There are 42 female cats in the group.
Work out the number of cats in the group.
Answer:
probability that cat is male is 1 by 42
I reallyyyy need help and i gotchu wit a lot of points if you can help me
Answer:
a. $14.99k + $24+ $25 = x
b. $14.99(3) + $24+ $25 = x
$44.97 + $24 + $25 = $93.97
Step-by-step explanation:
Answer:
i) C= $14.99 k + $24
ii) $93.97
Step-by-step explanation:
Let the number of models be represented by -----------k
Let the amount spent on books to be--------$24
The equation that represent amount spent in the mall is given as;
C= $14.99 k + $24 ---------------where ;
C= the equation for the total amount spent in the mall
k = the number of plane models
ii)
Using the equation : C= $14.99 k + $24 and if k = 3 and the amount spent on the store is $25 then ;
C= $14.99 * 3 + $24 = $44.97 + $24 = $68.97
C+ 25 = $68.97 + 25 =$93.97
please hurry , help please??? find the values of the variables
Answer:
x=60
Step-by-step explanation:
The angles here are alternate interior angles, this means that they are congruent. Congruent means that they are equal to each other, so to solve just set them equal! (Your variable is x so you're solving for that)
[tex]2x=120\\x=60[/tex]
Hope this helps! :)
A ship must have 1 lifeboat for every 12 passengers, plus one lifeboat for
the crew and one backup lifeboat. Which equation shows the
relationship between the number of passengers, p, and the number of
lifeboats needed, I?
Select one
1) I= 2 + 1/2
2) I= 2p + 10
3) I= 12p
4)I=2+ p/12
===========================================
Explanation:
p = number of passengers
L = number of lifeboats
Since we're grouping the passengers in groups of 12, this strongly implies we'll be dividing two values. Specifically we have p divided by 12 to represent the number of boats we will need just for the passengers.
For example, let's say p = 36. This means we have 36 passengers. That would mean we need p/12 = 36/12 = 3 boats for those 36 passengers. This excludes the crew and backup boat. Adding those two extra boats leads to the expression 2 + p/12 which is the total number of lifeboats needed.
In the event that p is not a multiple of 12, this leads to p/12 not being a whole number. We could have say p = 50 passengers which means p/12 = 50/12 = 4.167 approximately. We will not round this to 4 because then we'll have passengers without a lifeboat.
We must round 4.167 up to the nearest whole number to get 5. The first four boats take care of 4*12 = 48 passengers, while that 5th boat handles the remaining 50-48 = 2 people. Since 2 people in a boat seems like a really low count, the crew could likely spread the people out such that say 10 people would be in each boat (since 50/10 = 5).
So in short, the result of p/12 is rounded up to the nearest whole number.
Why is 4 +(-3) equal to 1
Answer:
bc u really subtracting three
Step-by-step explanation:
several ways to explain this, but the simplest way to show this is using a number line.
See attached for number line.
If we start at zero and add 4 (i.e the blue line) we will get a value of 4.0
subsequently, if we subtract 3 from this (green line), we will end up at 1.
Identify the y-intercept of the graph of the equation.
Answer:
3
Step-by-step explanation:
the y intercept is were x=0
Pls someone answer this I will give you a lot of points
Answer:
Part A: 4 3/4
Part B: 1 1/4
Step-by-step explanation:
A: sum of 2 1/2 and 2 1/4 = 2 2/4 + 2 1/4 = 4 3/4
B: 6 can be made to be 5 4/4 because it is 5 + 1
5 4/4 - 4 3/4 = 1 1/4
Michael has 567 pennies, Jorge has 464 pennies, and Jamie has 661 pennies. If the pennies are shared equally by the 3 boys and 33 of their classmates, how much money will each classmate receive? ( please show me the steps)
Answer:
Everybody, including the three boys, will get 47 pennies.
Step-by-step explanation:
First, you add the number of pennies each of the boys has, 567+464+661 = 1,692. Then you take the 1,692 and divide it by 36 to get 47. You divide by 36 because the pennies are getting shared by the 3 boys and 33 classmates, which comes out to be 36 classmates in total.
of the 300 people who entered the zoo, there were 210
children and 90 adults. Write a ratio comparing adults
to children.
I can't find x y or z
Answer:
x = 4[tex]\sqrt{3}[/tex]
y = 6
z = 8
Step-by-step explanation:
keep in mind I'm not doing that well with geometry so this might all be wrong lol
x is part of a 30 60 90 triangle.
so x is 4[tex]\sqrt{3}[/tex]
next, this is a right angle triangle so you can follow the a^2 + b^2 = c^2 formula.
4 + 6 = 10
10^2 = 100
100 = a^2 + b^2
y = 6 and z = 8 bc 36 + 64 = 100
factor 3x^3y^6-81 no clue man
Answer:
too much to explain
Step-by-step explanation:
¿Qué significa términos semejantes los cuales se pueden simplificar?
★Misma variables
★Mismos Coeficientes
★Mismo exponentes
★Mismas variables y mismos Exponentes
Porfa espero la respuesta
Answer:
no entiendo im sorry
Step-by-step explanation:
Answer: Los términos semejantes son términos que contienen las mismas variables elevadas a la misma potencia. ... Combinamos términos semejantes para acortar y simplificar expresiones algebraicas, para que podamos trabajar con ellos más fácilmente
Step-by-step explanation:
What is the solutionif this is your equation 9+k=18
Answer:
9k=18
k=9
Step-by-step explanation:
3x+2y=5
What is the y and x intercept and can i get a step by step explanation
Answer:
the slope is -3/2, and the y-intercept is 5/2.
Step-by-step explanation:
3x + 2y = 5
putting it into a y = mx+b form,
2y = -3x + 5
y = -3/2x + 5/2
the slope is -3/2, and the y-intercept is 5/2.
Answer:
y-intercept= 2.5
x- intercept= 1.666666666..... or 5/3
Step-by-step explanation:
1. Move variable to other side.
3x+2y= 5
-3x -3x
2y= -3x+5
2. Divide each side by 2.
-3/ 2 = -1.5
5/2 = 2.5
y= 1.5x+2.5
y= mx+b
b= y-intercept
b=2.5
3. Replace y with 0 to solve for x intercept.
3x+ 2 x 0 = 5
3x= 5
5/3 = x
Click on a factor pair of 12
2 and 3
3 and 4
6 and 7
2 and 4
Find geometric mean of 30 and 12
Answer:
18.97366596101
Step-by-step explanation:
Or In your case none of these answers are correct.
will mark brainliest if you mark me and it has to be right
Answer:
5
Because it is something that I know
Answer:
a^2+b^2=c^2
the answer should be 5
Step-by-step explanation:
Evaluate.
9-33.4 +6
9-33.4 +6 =
Steve has 1 1/2 cups of flour. One of his recipes requires 1/8 cup of flour. What is the maximum number of times (batches) Steve can complete the recipe?
Answer:
12 batches
Step-by-step explanation:
Total cups of flour = 1 1/2
Flour used per batch = 1/8 cups
What is the maximum number of times (batches) Steve can complete the recipe?
Maximum batches Steve can make = Total cups of flour / Flour used per batch
= 1 1/2 ÷ 1/8
= 3/2 ÷ 1/8
= 3/2 × 8/1
= (3*8) / (2*1)
= 24 / 2
= 12 batches
Maximum batches Steve can make = 12 batches
Sachi takes 10 rounds of a rectangular park, 50 m long and 20 m wide. Find the total distance covered by him.
Answer:
700 meters
Step-by-step explanation:
all decimal numbers are:-
a) rational numbers
b) irrational numbers
c) real numbers
d) integers
The answer fam is..... c) real numbers
A point with a positive x-coordinate and a negative y-coordinate is reflected over the y-axis
Which sentence describes the coordinates of the new point?
The x-coordinato is nogativo, and tho y coordinato is positivo,
The x-coordinate is positivo, and tho y coordinato is positivo,
The x-coordinato is negative, and the y coordinato is negativo.
The x-coordinate is positive, and the y coordinato is nogativo.
Answer:
" The x-coordinato is negative, and the y coordinato is negativo. "
Step-by-step explanation:
Both are in the bottom left quadrant: -x -y
You started here:
And reflected across the ☝ line aka Y
Which means it would now be on the left
Rihanna or Beyoncé and why
Answer:
Rihanna
Step-by-step explanation:
better butt
Answer: I don’t think I could choose either one but if I had to...... Beyoncé.
I say Beyoncé because I like how powerful her voice is and I just love her music and I love her as a person.