Answer:
Rs 20000
Step-by-step explanation:
Let the sum is x.
The rate of interest, r=20%=0.2
Time, t=2 years.
Total amount after t years, [tex]A= x \left(1+\frac{r}{n}\right)^{tn}[/tex]
The value of n when compounded annually, n=1
So, the total amount,
[tex]A_1=x \left(1+\frac{0.2}{1}\right)^{2\times 1}=x(1.2)^2[/tex]
The compound interest when compounded annually,
[tex]I_1 =x(1.2)^2-x[/tex]
The value of n when compounded semi-annually, n=2
So, the total amount, [tex]A_2 = x \left(1+\frac{0.2}{2}\right)^{2\times 2}=x(1.1)^4[/tex]
The compound interest when compounded semi-annually,
[tex]I_2 =x(1.1)^4-x[/tex]
As the difference between the annual and semi-annual compound interest on x amount of money is Rs 482, so
[tex]I_2-I_1=482 \\\\(x(1.1)^4-x)-(x(1.2)^2-x)=482 \\\\x(1.1)^4-x(1.2)^2=482 \\\\x(1.1^4 - 1.2^2) = 482 \\\\x(0.0241) = 482 \\\\x=482/0.0241 \\\\[/tex]
x=20000
Hence, the sum is Rs 20000.
Given the functionſ defined by the formula f(x) = 2x +1 find the following:
Answer:
f(4) is 9
f(-5) is -9
f(0) is 1
f(1/2) is 2
solve for 2(x−3)<6 equation
Answer:
x < 6
Step-by-step explanation:
Distribute the 2 to the parentheses:
2(x − 3) < 6
2x - 6 < 6
Solve for x:
2x < 12
x < 6
So, x < 6 is the answer.
Pleaseeee helpppppp !!!!!!!Will mark Brianliest !!!!!!!!!!!!!
Answer:
So
GJ=35
Step-by-step explanation:
Two triangles are similar so
The equation is
4/24=x/30
1/6=x/30
6x=30
x=5
Marni recorded the cost of different weights of apples and made a scatter plot of her data!
There are four question on there !!
Given:
The scatter plot and trend line.
To find:
Type of association, slope, equation of trend line and average cost of apple per pound.
Solution:
Form the given graph it is clear that the trend line passes through the two points (0,0) and (12,24).
Slope of trend line is
[tex]m=\dfrac{24-0}{12-0}[/tex]
[tex]m=\dfrac{24}{12}[/tex]
[tex]m=2[/tex]
Slope of trend line is positive. It means, it represents positive correlation.
So, the type of association of the scatter plot is positive association.
Therefore, the slope of trend line is 2.
The trend line passes through (0,0) have slope 2, so the equation of the trend line is
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-0=2(x-0)[/tex]
[tex]y=2x[/tex]
Therefore, the equation of trend line is [tex]y=2x[/tex].
Slope of the line is 2.
Therefore, the average cost of apples per pound is $2.
Can u help me please?
Answer:
0.407 because in the others 7 comes before the 0
if my father left to go get milk in 2007, and he said it needs to be the special Russian milk, and it’s 2020 now, how much longer will he take to come back home???
(show ur work plsssss)
Hmmm according to my calculations “ n e v e r “
9x+16
3
<7
solve each inequality
Step-by-step explanation:
9+16×+3
28×<7
35x it's answer can I help
find a range of values for x
Answer:
22
Step-by-step explanation:
i need help with this its due todayy
I NEED HELP! If f(x)= 5x^2-3 and g(x)=x^2-4x-8, find (f-g)(x).
Answer:
(f - g)(x) = 4x² + 4x + 5
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
f(x) = 5x² - 3
g(x) = x² - 4x - 8
(f - g)(x) is f(x) - g(x)
Step 2: Find (f - g)(x)
Substitute: (f - g)(x) = 5x² - 3 - (x² - 4x - 8)Distribute -1: (f - g)(x) = 5x² - 3 - x² + 4x + 8Combine like terms: (f - g)(x) = 4x² + 4x + 5Solve for b.
-9
____ + B= -1
3
Answer:
b = 6
Step-by-step explanation:
this is because you have to multiply by 3 on both sides then add 9 on both sides. then you get 6
Answer:
.
Step-by-step explanation:
Solve this system of equations, then determine what x equals.
x + 5y= 7
2x + 4y = -4
X=-18 x=3
X=-8
X=7
Answer:
−18=7
y=4/5
y=−5/2
y=4/5
X=−18
x=3
−18=−8
A consignment of eggs was delivered damaged with 72 eggs being cracked, which is 12 percent of the total consignment. Calculate the total amount of eggs in the consignment. Find the answer.
Answer:
There were 600 eggs in total.
Step-by-step explanation:
In order to find the total amount of eggs we need to divide the percent by the eggs cracked.
First we need to convert 12% to a decimal, 0.12.
Now we need to divide the cracked eggs by the percent.
So:
72 ÷ 0.12 = 600
-2+3x=-(x+6) solve for x
Answer:
x = -1
Step-by-step explanation:
-2+3x=-(x+6) distrbute the negative
-2+3x=-x-6 combine liked terms (added x & 2 to each side)
+2 +x +x +2
4x = -4 isolate x (divide 4 from each side)
x = -1
Answer:
X=-1
Step-by-step explanation:
First, add 2 on both sides to eliminate -2 and to get 3x alone. Now you have the product of 3x=-x-4. Next, add x on both sides to isolate negative 4. Once, you have done this you get 4x=-4. Now you divide by 4 to get x alone. And you get the product x= -1.
Solve the simultaneous equations:
5x + 3y = 9
7x - 2y = 25
x=__
y=__
Answer:
x= 3, y= -2
Step-by-step explanation:
5x+3y= 9
x= 25÷7 + 2÷7 y
5(25÷7 +2÷7 y)
5( 25÷7 +2÷7 y ) + 3y= 9
y= -2
x= 25÷7 + 2÷7 x (-2)
x= 3
whats the LCM of 5 and 60?
HELP RIGHT AWAY!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
-x +8y = 4
8y = x+4
y = x/8 + 1/2
y= mx +b
where b is the y-intercept
y- intercept is 1/2
x/8 +1/2 = 0
x/8 = -1/2
2x = -1*8
x = -8/2 = -4
x- intercept is -4
Who ever answers this YOUR A GENIUS!! (;
Answer:
A point on line PN is S
Step-by-step explanation:
Answer:
I think the answer is s.
hope this answer will help you
Curtis estimates that he can run 18 mph. About how many feet per second can Curtis run if there are 5280 feet in a mile?
Answer:26.4 feet per second
Step-by-step explanation:
Answer:
26.4 fps (feet per second)
Step-by-step explanation:
What does a graph look like when y=-2+5?
Which of the following visual representation correctly displays a relationship between sets of real numbers
PLEASE HELP
Answer:
d. J
Step-by-step explanation:
Real numbers are the vast set of numbers that broadly categorize into Rational and Irrationals (and also the Transcendentals, which are irrational too). Every rational number and every irrational number are characteristicly different from each other. Following this order, all rationals and irrationals are real numbers. This order is best represented in the Figure J.
Answer:
J
Step-by-step explanation:
Real numbers are classified into two types,
(i) Rational numbers - A number which can be expressed as fraction, ratio or percentage is called as rational number
(ii)Irrational numbers - A number which is not rational, (i.e) cannot be expressed as a ratio or percentage is called as irrational number.
Since there are no common numbers in rational and irrational, they cannot be expressed as "G" option.
Real numbers are formed by the union of rational and irrational numbers.
Bob invited 11 friends to his birthday party. He and his friends each ate two pieces of pizza. If they were eight slices in each whole pizza, how many whole pizzas do they fit in all?
Answer:
3 whole pizzas required.
Step-by-step explanation:
Given that:
Total number of friends invited by Bob = 11
Total number of people on the birthday party = 11 friends + 1 Bob himself = 12
Each friend has eaten = 2 pieces of pizza
Number of slices in one whole pizza = 8
To find:
Number of whole pizzas required at the birthday party.
Solution:
First of all, let us find the number of slices required for the birthday party.
Number of slices of pizza required for the birthday party = Number of slices eaten by each person multiplied by number of persons at party.
Number of slices of pizza required for the birthday party = 12 [tex]\times[/tex] 2 = 24
Now, let us divide the total number of slices with the number of slices in one whole pizza to find the total number of whole pizzas required for the party.
Number of whole pizzas required:
[tex]\dfrac{24}{8} = \bold{3}[/tex]
Find the dot product of the given vectors.
u= -4i + 8j
v= -2i+j
Answer:
16
Step-by-step explanation:
Given
u = x₁i + y₁j and v = x₂i + y₂j , then
u • v = x₁x₂ + y₁y₂
Given
u = - 4i + 8j and v = - 2i + j , then
u • v = ( - 4 × - 2) + (8 × 1) = 8 + 8 = 16
What is the solution to the system of linear equations graphed below?
On a coordinate plane, 2 lines intersect at (0.5, 4).
(0, 4)
(4, one-half)
(one-half, 4)
Answer:
D
Step-by-step explanation:
I took the test
Answer:
Step-by-step explanation:
AB=12 cm,AD=5cm area of rectangle ABCD given that
HELLPPPPPP!!!! DUE AT 9!!!!!!
Answer:
I and IV are congruent and I I and III are congruent.
Step-by-step explanation:
Congruent figures must have the same shape and measurements. Hope this helps.
Answer:
c
Step-by-step explanation:
They are all congruent, but are turned in different directions.
John and Ndiba each improved their yards by planting rose bushes and geraniums. They bought
their supplies from the same store. John spent $44 on 7 rose bushes and 5 geraniums. Ndiba
spent $112 on 14 rose bushes and 14 geraniums. Find the cost of one rose bush and the cost of
one geranium.
i wanna know too.... dis u get the answer
school is so not poggers :(
Answer:
school are poggers but friend r not coming
sad pogger noises :(
y’all i need help on the last one
Answer:
Step-by-step explanation:
Kindly share the exact question
Plz, Help me with this question.
Answer:
Hello :D
Step-by-step explanation:
Answer:
x+7 i think
Step-by-step explanation: