Answer:
Simple Interest (SI) = Amount (A) – Principal (P) = 6000 - 5400. = 600
Answer:
1. Robert deposits $ 3000 in State Bank of India for 3 year which earn him an interest of 8%.What is the amount he gets after 1 year, 2 years and 3 years?
Step-by-step explanation:
Solution:
In every $ 100, Robert gets $ 8.
(Since rate is 8% → 8 for every 100)
Therefore, for $ 1 he gets = $ 8/100
And for $ 2000 he gets = 3000 x 8/100
= $ 240
Simple Interest for 1 year = $ 240.
Simple Interest for 2 year = $ 240 x 2
= $ 480
Simple Interest for 3 year = $ 240 x 3
= $ 720
Therefore, Amount after 1 year = Principal (P) + Simple Interest (SI)
= 3000 + 240
= $ 3240
Amount after 2 years = Principal (P) + Simple Interest (SI)
= 3000 + 480
= $ 3480
Amount after 3 years = Principal (P) + Simple Interest (SI)
= 3000 + 720 = $ 3720
We observe from the above example that, the Interest cannot be calculated without Principal, Rate and Time.
Therefore, we can conclude that Simple Interest (S.I.) depends upon:
(i) Principal (P)
(ii) Rate (R)
(iii) Time (T)
And therefore, the formula for calculating the simple interest is
Simple Interest (SI) = {Principal (P) × Rate (R) × Time (T)}/100
Amount (A) = Principal (P) + Interest (I)
Principal (P) = Amount (A) – Interest (I)
Interest (I) = Amount (A) – Principal
find the slope of the line passing through the points (-3,2) and (-3,-7)
Slope = change in Y / change in x
Slope = (-7 - 2) / (-3 - -3)
Slope = -9/0
Because the change in x = 0, the slope is undefined.
The answer is the slope is undefined.
hideki is draining a 45 gallon aquarium at a rate of 15 gallons per minute what is the initial value of the linear function that represents the situation ?
Answer:
45.
Step-by-step explanation:
Since Hideki is draining a 45 gallon aquarium at a rate of 15 gallons per minute, to determine what is the initial value of the linear function that represents the situation, the following calculation must be performed:
45 (starting number) - 15(number of gallons per minute) X(minutes) = Y
Therefore, the equation would be 45 - 15X = Y, with which the initial value of the linear function that represents the situation is 45.
expand the following expression by using the distributive method 7(10-3x))
Answer:
Step-by-step explanation:
7(10)-7(3x)
80-21x
Answer:
70+21x
Step-by-step explanation:
multiply the number that outside on the ( ) for the numbers that are in side
Please help ASAP. Thanks so much.
Answer:
D. 1/9
Step-by-step explanation:
The x-coordinate is -1/3
Divide using long division.
(x3 + 3x2 + x - 4) + (x - 1)
Answer:
2x+3x2 +x3 −5
Step-by-step explanation:
Hope this helps
Answer:
x^2 - 2x + 2
step-step explanation:
- Peter's bike bill is automatically
deducting $78 from his bank
account every month. If his bank
account balance is at $234, how
many months will it take for Pete to
run out of money?
PLEASE
A number is 4 times the sum of its digits. The units digit is two more than the tens digit. Find the number.
Answer:
24
Step-by-step explanation:
Let x = the 10's digit
Let y = the units
then
10x+y = "a number"
:
A number is 4 times the sum of its digits.
10x + y = 4(x + y)
10x + y = 4x + 4y
10x - 4x = 4y - y
6x = 3y
Simply, divide by 3
2x = y
;
The units digit is two more than the tens digit.
y = x + 2
Replace y with 2x
2x = x + 2
2x - x = 2
x = 2
then
y = 4
:
24 is the number
The two digit number is equivalent to 24.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that a number is 4 times the sum of its digits. The units digit is two more than the tens digit.
Let the number be {A}. Then, we can write -
A = 10x + y ......... (1)
also
A = 4(x + y) ........... (2)
The units digit is two more than the tens digit, so we can write -
y = x + 2 .............. (3)
So, we can write -
10x + y = 4(x + y)
10x + (x + 2) = 4(x + x + 2)
11x + 2 = 8x + 8
3x = 6
x = 2
So, we can write {y} as -
y = 4
Number will be -
10 x 2 + 4
n = 24
Therefore, the number will be equivalent to 24.
To solve more questions on expressions, visit the link below -
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PLSS HELP ME TYSMMMMM
Answer:
Picture or question???????
One number added to twice another number is 30. The sum of the numbers is 19.
Write and solve a system of equations to represent this situation.
What is the value of the smaller number?
What is the value of the larger number?
I don't understand :(
Answer:
The smaller number is 8
The bigger number is 11
Step-by-step explanation:
let the first number be A
let the second number be B
A + 2B = 30..... equation 1
A + B = 19...... equation 2
Subtract equation 2 from 1.
A + 2B = 30
- A + B = 19
-------------------
0 + B = 11
B = 11
Substitute B = 11 into equation 2
A + B = 19
A + 11 = 19
collect like terms
A = 19-11
A = 8.
A= 8 and B = 11
A computer game originally sold for $40 but is now on sale for 30% off. What is the sale price of the computer game?
Answer:
28
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
30% of 40 is 12, 40-12=28, the answer is 28.
Find angle. Picture below!
Answer:
m<QRP=42degrees
m<Q=79degrees
m<P=59degrees
Step-by-step explanation:
find ratio of 120 :80
120 : 80
= 12 : 8
= 6 : 4
= 3 : 2
This is the answer
Answer:
120/10=12
80/10=8
12/4=3
8/4=2
Nothing can further decide, then we have
3:2
7
Jackson is creating a rectangular board game that includes a diagonal line from two of the corners of the game. How long is the diagonal if the board game is 10 inches
long by 8 inches wide? Explain your reasoning. Round your answer to the nearest tenth of an inch.
Helppp
Answer:
diagonal = = 12.8 inches (to the nearest tenth of an inch)
Step-by-step explanation:
As shown in the diagram attached to this solution:
Let the Length of the rectangular board = a
Let the width = b
Let the diagonal = d
where:
a = 10 inches
b = 8 inches
d = ?
Triangle ABC in the diagram is a right-angled triangle, therefore, applying Pythagoras theorem:
(hypotenuse)² = (Adjacent)² + (Opposite)²
d² = 10² + 8²
d² = 100 + 64
d² = 164
∴ d = √(164)
d = 12.806 inches
d = 12.8 inches (to the nearest tenth of an inch)
N:B Rounding off to the nearest tenth of an inch is the same as rounding off to 1 decimal place.
Rick wants to buy a tool set with an original price of $165. Next week, the tool set will be on sale for $40 off. What is the sale
price of the tool set?
Answer:
$125 is the sale price.
Step-by-step explanation:
Answer:
24.24% off
Price of tool set: $125
Step-by-step explanation:
$40 is the price change
You can divide 40 by the original price which is 165 and then multiply by 100 to get your percentage change.
40 / 165 = 0.2424
0.2424 * 100 = 24.24
So there is 24.24% discount.
Question 11 (1 point)
Evaluate the function.
Given f(x) = x2 - 5x + 5, find f(3).
Answer:
f(3) =-1
Step-by-step explanation:
f(x) = x^2 - 5x + 5
Let x=3
f(3) = 3^2 -5(3) +5
= 9 -15+5
= -6+5
=-1
3x − y = 10
4x + 19y = 18
no solution? One solution? or infinitely solutions
Answer:
Infinite
Step-by-step explanation:
HELP ME PLEASE I HAVE 1 MINUTE LEFT TO TRUN THIS IN
Answer:
1jdjsbsjsnsisn Shane Jana aus she sue euw
Answer:
Number of walnut trees: 4n+15
A runner ran of a 5 kilometer race in 21 minutes. They ran the entire race at a constant speed.
How long did it take to run the entire race?
Answer:
4.2
Step-by-step explanation:
the kilometro is 5 and race is 21. 5÷21=4.2
Using the pattern rule, find the missing
value in the table.
y = x + 8
input X 1
output y 9
2 3 4
10 | 11 | [?]
Enter the number that belongs in the green box.
Enter
Answer:
y=12
Step-by-step explanation:
y=x+8
9=1+8
10=2+8
and so in...
y=?
4+8=12
Sam says: 9.05kg is equal to 9500g. Is he right or wrong? Explain your answer.
Answer:
Step-by-step explanation:
Sam is wrong because 9,05 kg =9050g which is different to 9500g
Answer:
wrong 1 kilo in a gram is 1000 so u just going to add 1 zero on the back so 905+0= 9050 grams
The 2 line segments form a ___ that helps us find the ___
Answer:
is this on shapes or multiple answer?
Step-by-step explanation:
like i was thinking 2 segments as parallel
The weekly production cost C of manufacturing x watches is given by the formula C = 6000 + 3x, where the variable C is in dollars.
" (a) What is the cost of producing 1000 watches?
Answer:
therefore, to produce 1000 watches , it would cost 9000 dollars.
Price : 9 dollars a watch
Step-by-step explanation:
C=6000 + 3x
what is the cost of producing 1000 watches?
first do this
C= (1000)= 6000 + 3(1000)
C= (1000)= 6000 +3000
C= 9000
If f(x)= 1/2x-10+3, which inequality can be used to find the domain of f(x)?
Answer:
x ≠ 5
Step-by-step explanation:
Assuming you mean f(x) = (1/(2x-10))+3
Please be careful with how ambigiuous your question can appear with the / sign.
The domain is the set of values that can be used as an input.
In this case the only input we have that could cause problem is if the denominator of the fraction is 0, because then we divide by 0 which is not allowed.
This gives us 2x-10 ≠ 0
2x ≠ 10
x ≠ 5
The domain of the function is given by the inequality ( 1/2 )x - 10 ≥ 0 and the value of x ≥ 20
What are domain and range?The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = [ √ ( 1/2 )x - 10 ] + 3
Now , the expression (1/2)x - 10 inside the square root must be greater than or equal to 0, as the square root of a negative number is not defined in the real number system.
(1/2)x - 10 ≥ 0
To solve this inequality, we can isolate x:
(1/2)x ≥ 10
x ≥ 20
Hence , the domain of the function f(x) is x ≥ 20.
To learn more about domain and range click :
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The complete question is attached below :
If f(x)= 1/2x-10+3, which inequality can be used to find the domain of f(x)?
For the rational function f(x)=(-13x-27)/(x^(2)-4x-12), F(x)=2
The dollar value v (t) of a certain car model that is t years old is given by the following exponential function.
v (t) = 19,900(0.86)^t
Find the initial value of the car and the value after 11 years.
Round your answers to the nearest dollar as necessary.
Answer:
v(0) = 19,900, v(11) = 3,787.36
Step-by-step explanation:
v(0) = 19,900 (0.86)^0 = 19,900 * 1 = 19,000
v(11) = 19,900 (0.86)^11 = 19,900 * 0.190319 = 3,787.36
what is the speed, if distance is 900 miles and time 300 minutes
Answer:
3 mi/min
Step-by-step explanation:
speed =distance/time
900/300=3
What is 75% converted to a decimal? mal?
Answer:
75% = 0.75
Step-by-step explanation:
75% ÷ 100 = 0.75
Answer:
.75
Step-by-step explanation:
75.% you move the the point 2 spaces to the front and get .75
4. A regular hexagon is shown below. Find the value of x. (11x + 21)
Answer:
We need the picture
Step-by-step explanation:
Pythagorean theorem
please help
Answer:
c = square of a2+b2
i think its correct ome
Bryson has soccer practice for 2 1/4 hours 2 times a week. How much time does Bryson spend at soccer practice in 1 week?
Answer:
15.75
Step-by-step explanation: