\({\huge{G = \frac{P-2M}{2} }}\)
A man borrowed naira 1250 and paid interest of 300 naira in 4 years, what was the rate of interest
Answer:
The answer is 6%
Step-by-step explanation:
\( i = \frac{prt}{100} \)
300=1250×4×r/100
30000=5000r
divide both sides by 5000
5000r/5000=30000/5000
r=6%
Given P(B | A)=0.75, P(A ∩ B)=0.15, P(B’)=0.7, find P(A ∪ B)
By definition of conditional probability,
P(B | A) = P(A ∩ B) / P(A)
==> P(A) = P(A ∩ B) / P(B | A) = 0.15/0.75 = 0.2
By definition of complement,
P(B') = 1 - P(B)
==> P(B) = 1 - P(B') = 1 - 0.7 = 0.3
Now by the inclusion/exlcusion principle, we have
P(A U B) = P(A) + P(B) - P(A ∩ B)
==> P(A U B) = 0.2 + 0.3 - 0.15 = 0.35
Gaulle Company began the year with a balance of $6,000 in Accounts Receivable and ended the year with $9,000 in the account. Revenues for the period amounted to $38,000. Under the direct method, Gaulle will report cash collected from customers of:A. $44,000B. $35,000C. $41,000D. $47,000
Under the direct method, Gaulle will report cash collected from customers of $35,000.cash collected from customers is determined by adding the changes in Accounts Receivable to the revenues recognized during the period.
Beginning Accounts Receivable was $6,000 and ending Accounts Receivable was $9,000, indicating that customers owed Gaulle an additional $3,000 during the year.
Revenue for the year was $38,000, which represents the total sales generated by the company during the period. To calculate the cash collected from customers, we need to subtract the change in Accounts Receivable from the revenue recognized during the period.
Therefore, the cash collected from customers for Gaulle is calculated as follows:
Cash collected from customers = Revenue - Decrease in Accounts Receivable
= $38,000 - ($9,000 - $6,000)
= $35,000
Therefore, the answer is B. $35,000.
To know more about the accounts receivable turnover:
https://brainly.com/question/31264990
#SPJ4
Can someone help with this problem
Step-by-step explanation:
x+35+25=180
x+60 =180
x = 120.
y+x =18
The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function?
Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to b
locate the next ordered pair on the line. Draw a line through the two points.
Locate the ordered pair (0, –6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
Locate the ordered pair (–6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
Locate the ordered pair (–6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
Answer:A
Step-by-step explanation:
I just did the test and got a 100
Use the Integral Test to determine the convergence or divergence of the following series, or state that the conditions of the test are not satisfied and, therefore, the test does not apply. k+ 7 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. dx converges to the series also converges. Since the integral 7 e an exact answer.) OB. Since the integral dx diverges, the series also diverges. x 7 C. The Integral Test does not apply.
Using the Integral Test, the correct choice is B. Since the integral ∫(k+7)dx diverges, the series also diverges.
We are supposed to use Integral Test to determine the convergence or divergence of the series, ∑(k+7)dx.
We can use the Integral Test to test for the convergence of series if the function in the series is continuous, positive, and decreasing for all x greater than or equal to some value N.
The Integral Test states that a series converges if and only if the integral of the series term is convergent, i.e. if the integral of u(x)dx is convergent. Also, if the integral of u(x)dx diverges, the series is divergent.
So we need to check whether the function in the given series is continuous, positive, and decreasing for all x greater than or equal to some value N.
If we integrate the series, ∑(k+7)dx, we get:∫(k+7)dx= ∫k
dx + ∫7dx= (k²/2) + 7x+ C
where C is the constant of integration.
Since the value of C is not given, we cannot say anything about the exact value of the integral.
However, the value of the constant of integration does not matter in this case as we only need to determine whether the integral converges or diverges.
Therefore, we can use the Integral Test to determine the convergence or divergence of the series.
Using the Integral Test, the correct choice is B.
Since the integral ∫(k+7)dx diverges, the series also diverges.
Know more about Integral Test here:
https://brainly.com/question/31381575
#SPJ11
A spinner with equal sections numbered from 1 to 5 is spun twice. Raul is finding the probability that both spins will result in an even number. Find his mistake and explain what he should have done instead.
(2/5) x (1/4) =(2/10)
please help im really just about to cry myself to sleep and call it a day bcs im off the edge rn and i have to deal with school at the same time T_T
Answer:
his mistake is that he didn't need to remove one even number on the spinner so we just need to take 2/5x1/5equals2/25
James is 6 times older than his friend Zach, if Zach added 8 to his age and multiplied this sum by 3.
Write an equation that can be used to solve for Zach's age in the box below, use Z as the variable.
Given that:
James is 6 times older than his friend Zach, if Zach added 8 to his age and multiplied this sum by 3.
Step-by-step explanation:
Let the Zach's age be Z years.
6 times older than Zach = 6Z
Zach added 8 to his age and multiplied this sum by 3 = 3(Z+8)
Now,
\(6Z=3(Z+8)\)
\(6Z=3Z+24\)
\(6Z-3Z=24\)
\(3Z=24\)
Divide both sides by 3.
\(Z=\dfrac{24}{3}\)
\(Z=8\)
Therefore, the required equation is \(6Z=3(Z+8)\) and Zach's age is 8 years.
A skateboard ramp has a slope of 4/9. What is the measure of the angle the ramp forms with the ground
Answer:
Step-by-step explanation:
tanθ = 4/9
θ = arctan(4/9) ≈ 23.96°
The measure of the angle the ramp forms with the ground is :
-Angle is 23.96 degrees.
"Measure of the angle"Let the angle is = x
We know that tan(x) is the slope.
tan(x)=\frac{4}{9}
tanθ = 4/9θ
tanθ = arctan(4/9)
tanθ≈ 23.96°
Learn more about slope:
https://brainly.com/question/3493733
flor ha colocado ¹1/4 kg de papa sobre una balanza . si un cliente le quiere comprar 2 kg de papa , ¿cuantos kilogramos (kg) de papa debe agregar flor sobre l balanza para cumplir con el pedido?
a)3/4 kg de papa
b)¹ 3/4 kg de papa
c1/4 kg de papa
d)¹ 1/4
RAPIDO POR FAVOR E UN EXAMEN SALVEMME LA VIDA
Answer:
a). 3/4 kg de papa
Step-by-step explanation:
Given that,
Patata colocada en balanza = 1 1/4 Kg
Flor de papa total quiere = 2 kg
Encontrar,
Se agregará más peso en la báscula para que sea de 2 kg =?
Procedimiento:
Peso requerido para ser colocado = Peso total - peso colocado
= 2 - \(1\frac{1}{4}\)
= 2 - 5/4
= (8 - 5)/4
= 3/4 kg
Which one of the following simplifications is incorrect ?
94 0 16x4 = 12x4
. در 0
3/ 3.
26 = 22
=
0 2 0 42 = 2017
3
O 264 0 481 = 12
Answer: is A
Step-by-step explanation: if you do the problem youd get 2 root 3x^2
Find the missing length indicated
I WILL GIVE BRAINLIEST TI CORRECT ANT
Answer:
B aka 12
plz give me brainliest
COULD SOMEONE PLEASE HELP ME (PICTURE) ITS URGENT MARKING BRAINLIEST 15 POINTS
Which of the following are implicit assumptions associated with the use of factors? a The relationship is nonlinear b The dependent variable fully describes the cost being estimated c The relationship between the independent variable and the cost being estimated is linear d None of these are correct
The correct answer is c. The relationship between the independent variable and the cost being estimated is linear.
This is an implicit assumption associated with the use of factors because factors assume that there is a linear relationship between the independent variable and the cost being estimated. If the relationship is non-linear, then factors may not accurately predict future costs.
Factors are used to estimate costs by identifying the factors that are most likely to affect the cost and then using historical data to develop a relationship between those factors and the cost.
The relationship between the independent variable and the cost being estimated is assumed to be linear. This means that the cost will increase or decrease in a straight line as the independent variable increases or decreases. If the relationship is non-linear, then factors may not accurately predict future costs. For example, if the cost of a product is increasing at an increasing rate, then factors may not be able to accurately predict the cost of the product in the future.
To learn more about independent variable click here: brainly.com/question/1479694
#SPJ11
Six times the smaller of two numbers minus the larger number is –15. Thirteen more than twice the smaller number is three times the larger number.
The equations smaller number is -2 and the larger number is 3.
The smaller number as "x" and the larger number as "y". Based on the given information the following equations:
Six times the smaller number minus the larger number is -15:
6x - y = -15
Thirteen more than twice the smaller number is three times the larger number:
2x + 13 = 3y
A system of two equations use various methods, such as substitution or elimination.
use the substitution method to solve the system:
From equation 2),
2x - 3y = -13
express 6x from equation 1) in terms of y:
6x = -15 + y
x = (-15 + y) / 6
Substituting this value of x into equation 2)
2((-15 + y) / 6) - 3y = -13
Simplifying and solving this equation
(-30 + 2y) - 18y = -78
-16y = -48
y = 3
Substituting the value of y back into equation 1), find the value of x:
6x - 3 = -15
6x = -12
x = -2
To know more about equations here
https://brainly.com/question/29538993
#SPJ4
7. Find the area of the rhombus. Express
your answer as a mixed number of
square centimeters in simplest form.
3 2/3cm
4½cm
Hello guys, i need help with this question, plz show me the working so i know how you did it. ThANK YOU
Given:
Parent function is \(f(x)=5^x\).
New function is \(y=-2(5)^{3x}+8\).
To find:
The equation of function after each transformation.
Solution:
We have,
\(f(x)=5^x\)
The equation of parent function is
\(y=5^x\)
1. \(y=5^{3x}\) (Horizontal compression by factor 3)
2. \(y=2(5)^{3x}\) (Vertical stretch by factor 2)
3. \(y=-2(5)^{3x}\) (Reflected across x-axis)
4. \(y=-2(5)^{3x}+8\) (Shift 8 units above)
Therefore, these are the required answers.
A skateboarder goes off of a ramp at a speed of 52 ft./s. The ramp is 5 ft. above the ground with a 30°
angle of elevation. Which set of parametric equations represents the skater's jump? The acceleration due
to gravity is 32 ft/s^2.
The set of parametric equations representing the skater's jump is:
x = 52t
y = 5 + 16t²
We have,
Let's denote the time as t.
Horizontal motion:
The skateboarder's horizontal velocity remains constant throughout the jump, so the horizontal position (x) can be represented as:
x = vt
where v is the horizontal velocity, which in this case is 52 ft/s.
Vertical motion:
The vertical position (y) can be determined using the equations of motion under constant acceleration.
The skateboarder experiences acceleration due to gravity (g) acting downward.
The initial vertical position is 5 ft, and the initial vertical velocity is
0 ft/s.
Using the equation of motion:
\(y = y_0 + vy_0t + 0.5gt^2\)
Substituting the given values:
y = 5 + 0t + 0.5(32)t²
y = 5 + 16t²
Thus,
The set of parametric equations representing the skater's jump is:
x = 52t
y = 5 + 16t²
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ4
Please help, this is due in 20 minutes!! I would greatly appreciate you if you also provided your work and no links!
A 5.0 µC point charge is moved within an electric field and has an electric potential energy change of 10.0 J. What is the electric potential difference before and after the charge was moved? Show work. (µC = 1.0 × 10–6)
Answer:
Step-by-step explanation:
so
V = energy / q
The potential difference * charge = potential energy change of charge
delta V = 10J/(5*10^-6) = 2*10^6 volts
Do these data suggest an association between age and experiencing side affects ?
The 3 Rodgers sisters decided to pay off an old debt of $135.75 to their neighbor. If they all contribute the same amount of money, how much will each sister owe?
Matthew makes a series of payments at the beginning of each year for 20 years. The first payment is 100. Each subsequent payment through the tenth year increases by 5% from the previous payment. After the tenth payment, each payment decreases by 5% from the previous payment. Calculate the present value of these payments at the time the first payment is made using an annual effective rate of 7%.
The total present value of these payments at the time the first payment is made is 1,735.85 (747.26 + 988.59).
To calculate the present value of these payments, we need to use the formula for the present value of an annuity:
\(PV = (P/i) x [1 - (1+i)^-n]\)
Where:
P = payment amount
i = annual effective rate
n = number of payments
Using this formula, we can calculate the present value of the first 10 payments:
\(PV = (100/0.07) x [1 - (1+0.07)^-10] = 747.26\)
To calculate the present value of the remaining 10 payments, we need to first calculate the payment amounts. To do
this, we can use the following formula:
\(Pn = P1 x (1 + g)^n\)
Where:
Pn = payment in year n
P1 = first payment amount
g = growth rate
n = number of years since first payment
For the 11th payment:
\(P11 = 105 x (1 + 0.05)^1 = 110.25\)
For the 12th payment:
\(P12 = 110.25 x (1 + 0.05)^1 = 115.76\)
And so on, until the 20th payment:
\(P20 = 163.32 x (1 - 0.05)^8 = 79.24\)
Now we can calculate the present value of these payments:
PV = \((110.25/0.07) x [1 - (1+0.07)^-10] + (115.76/0.07) x [1 - (1+0.07)^-9] + ... + (79.24/0.07) x [1 - (1+0.07)^-1]\)
PV = 988.59
for such more question on word problem
https://brainly.com/question/21405634
#SPJ11
(Please help) Based on the equation you wrote in part 1, complete the table below (equation is f = 1000t)
Number of tigers | Area (Square feet)
1 :
2 :
3 :
4 :
Answer:
1,000
2,000
3,000
4,000
Step-by-step explanation:
just took the test got it right
Answer: I got the sample answer correct
Step-by-step explanation:
the edmentum answer
I need your help broskis
a very fast way to do it:
Trivially 8.8*5>10, so the power of 10 is 6+2+1 = 9.
Therefore, the answer is \(\boxed{4.4 \text{ x }10^9}\)
solve this y = x + 4 for x.
Answer:
Nothing further can be done.
Step-by-step explanation:
Please help! How do I find y and r??
Answer:
Step-by-step explanation:
you find r by the nearest integer of the slope to find the answer
For the following statements 11 - 16 write TRUE or FALSE.
11. Through any two points there is exactly two lines.
12. A line contains of at LEAST two points.
13. A plane contains at least three non-collinear points.
14. Two lines intersect at a point.
15. Two planes intersect at a point.
16. A line and a plane intersect at a line.
Answer:11 is false. Through any two points there is exactly one line. 12 is true. 13 is true. 14 is true. 15 is false. Two planes intersect at a line. 16 is false. A line and a plane would intersect at a point
Step-by-step explanation:
Make two questions based on this graph.
Answer:
Just answering so other can get brainliest :P they already got it correct so you dont need me XD
Step-by-step explanation:
Plugin y=-5 into either equation and solve for x
-6x-8y=-20 or x+y=5
Step-by-step explanation:
Substitute y = 5 into the equation:
\( - 6x - 8( - 5) = - 20\)
Multiply:
\( - 6x + 40 = - 20\)
Subtract 40 from each side:
\( - 6x = - 60\)
Divide each side by -6:
\(x = 10\)
Substitute y = -5 into the equation:
\(x - 5= 5\)
Add 5 to both sides of the equation:
\(x = 10\)
x will equal 10.
which number is greater than the number at point p