Answer:
Time and rate is 4 years and 4% respectively.
Step-by-step explanation:
P = Rs 66000
so
T = R
I = 10560
so
I = PTR/100
Rs 10560 = (66000*T^2)/100
or, Rs 1056000 = 66000*T^2
or. 1056000/66000 = T^2
or, 16 = T^2
OR, T =√16
so T = 4
Then
T = R
so, R = 4
4x-5y +7z= -14
9x + 2y +3z= 47
-y + x -5z = 11
Find x if A'B
Answer:
x = 5
Step-by-step explanation:
Here we have the system of equations:
4x - 5y +7z= -14
9x + 2y +3z= 47
-y + x -5z = 11
We want to find the value of x.
To do it, we need to isolate one variable (not x) in one of the 3 equations. We could isolate y in the third equation to get:
x - 5z - 11 = y
now we can replace this in the other two equations to get:
4x - 5*( x - 5z - 11 ) +7z = -14
9x + 2*(x - 5z - 11 ) + 3z = 47
notice that now we have only two variables, now we need to simplify these two equations so we can get:
-x + 32z = -69
11x - 7z = 69
Now we do the same thing, this time we need to isolate z in one of the two equations, let's isolate it in the second one:
7z = 11x - 69
z = (11/7)*x - (69/7)
now we can replace this in the other equation to get:
-x + 32*( (11/7)*x - (69/7) ) = -69
now we have an equation for x, that we can solve to find its value:
-x + 32*(11/7)*x - 32*(69/7) = -69
x*(32*(11/7) - 1) = -69 + 32*(69/7)
x = [-69 + 32*(69/7)]/(32*(11/7) - 1) = 5
The value of x is 5.
An amount of $700 was invested at 7% for 7 months what is the interest? Round your answer to your nearest cent.
Answer:
$343
step by step explanation: interest=PRT/100
:I=700×7×7/100
:I=$343.
Given:
Principal, P = $700
Rate of interest, R = 7% = 0.07
Time period, T = 7 months (it is considered as a monthly investment)
∴ Simple Interest, SI = PRT
SI = 700 × 0.07 × 7
SI = $343
What is straightforward interest and model?
Straightforward Simple Interest is the strategy for working out the premium sum for a specific chief measure of cash at some pace of revenue. For instance, when an individual takes credit of Rs. 5000, at a pace of 10 p.a. for a very long time, the individual's advantage for quite some time will be S.I. on the acquired cash.
Straightforward recipes generally start with an equivalent sign (=), trailed by constants that are numeric qualities and computation administrators like in addition to (+), short (- ), asterisk(*), or forward cut (/) signs.
Learn more about Simple Interest here
https://brainly.com/question/2294792
#SPJ2
An observer, who is standing 47 m from a building, measures the angle of elevation of the top of the building as 30˚. If the observer’s eye is 167 cm from the ground, what is the exact height of the building?
9514 1404 393
Answer:
28.81 m
Step-by-step explanation:
The tangent relation can help find the height of the building above the observer's eye.
Tan = Opposite/Adjacent
Opposite = Adjacent·Tan
above eye height = (47 m)(tan 30°) ≈ 27.14 m
Adding this to the eye height gives the height of the building above the ground where the observer is standing.
27.14 m + 1.67 m = 28.81 m
The height of the building to the nearest centimeter is 28.81 meters.
An object travels along the x-axis so that its position after t seconds is given by x(t) = 2t2 – 5t – 18 for all times t such that t ≥ 0.
Which inequality describes all times t for which the object is traveling toward the right?
the function is given, and it's value is where the object is ("how far to the right").
so as long as it rises (going more right), this will be apply.
in the screenshot I graphed the function. of course t is graphed as x and "along the x-axis" is graphed as y, but the pattern is the same anyways.
for the first 1.25 seconds the object goes to the left, and after that always to the right.
since we look at t to calculate x, t effectively takes the role of the important variable that is normally given to x. the calculation pattern are just the same. so let's find the lowest point of this function by calculating it out.
x(t) = 2t² – 5t – 18
x'(t) = 4t -5
x'(t) = 0
0 = 4t -5
5 = 4t
1.25 = t
plugging it into the second derivative
x''(t) = 4
x''(1.25) = 4
it's positive, so at t=1.25 there is a low point
(of course the second derivative is constant anyways.)
the object is traveling toward the right
the object is traveling toward the rightfor t > 1.25
The object is moving to the right, for t > 1.25, the object is moving in a rightward direction.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have:
An object travels along the x-axis so that its position after t seconds is given by:
x(t) = 2t² – 5t – 18
x'(t) = 4t - 5
x'(t) = 0
4t -5 = 0
t = 5/4 = 1.25 seconds
x''(t) = 4
x''(1.25) = 4
x''(1.25) > 0
At t = 1.25 the object travels at a low point.
Thus, the object is moving to the right, for t > 1.25, the object is moving in a rightward direction.
Learn more about the inequality here:
brainly.com/question/19491153
#SPJ2
If Ahmad’s balance is $85, what will the minimum payment be?
his balance will be 20 dollars
A local school board member randomly sampled private and public high school teachers in his district to compare the proportions of National Board Certified (NBC) teachers in the faculty. The results were:
Answer:
0.025 ;
(-0.7198 ; 0.7698)
Step-by-step explanation:
From the table :
_____________ private schls ___ public schls
Sample size, n _____ 80 __________ 520
P, NBC teachers ___ 0.175 ________ 0.150
P1 = P of private school teachers
P2 = P of public school teachers
Difference in proportion :
P1 - P12 = 0.175 - 0.150.= 0.025
The 90% confidence interval for 2 - sample proportion :
C.I = (p1-p2) ± [Zcritical * √(p1(1-p1)/n1 + (p2(1-p2)/n2)]
Zcritical at 90% = 1.645
C.I = 0.025 ± [1.645 * √((0.175*0.825)/80 + (0.150*0.850)/520)]
C.I = 0.025 ± [1.645 * √(0.0018046875 + 0.0002451)]
C.I = 0.025 ± 1.645 * 0.0452755
C.I = 0.025 ± 0.07448
C.I = (-0.7198 ; 0.7698)
7. Write the new function, h(x), given the mapping statement: f(X)->-4f(X)
f(X) =(x+3)^2+3
Answer:
hshdhdhdshejiwiwiwiwiwi
Juan had 5 candy bars for himself and 4 friends to share with after lunch. Then three other friends joined them. Juan divided the 5 candy bars equally with all of his friends. How much did each person get?
Answer:
5/8
Step-by-step explanation:
There are 5 people when 3 more join for a total of 8 people
5 candy bars divided by 8 people
Take the candy bars and divide by the people
5/8
Which of the following equations shows the linear relationship between the x and y variables shown in the table of ordered pairs? A. y = x + 5 B. y = 2x C. y = x + 6 D. y = x - 5
Answer:
The linear relationship will be B
Answer:
b
Step-by-step explanation:
Average person who drives car in United States drives 15, 350 miles which is 50% more than an average driver in Europe. We assume that the number of yearly miles by U.S. drivers is approximately a normal random variable of standard deviation of 4200 miles. Calculate percent of drivers who traveled between 10,000 to 12,000 miles in a year.
Answer:
7,675
that is your answer
Which percent is eguivalent to 2.5?
1)2.5%
2)25%
3)250%
4)2,500%
Answer: 250%
since, 100% = 100/100
250% = 250/100
Step-by-step explanation:
an expression equivalent to 12+ 21 is
Answer:
33
Step-by-step explanation:
The answer is 1628. Because 16 x 21 = 28 x 12 = 336
Hope this helps
7 times a certain number less four times that same number minus 2 is -58 what is the number
Step-by-step explanation:
7 times a certain number :
Let the unknown number be x
[tex]7 \times x[/tex]
is less four times that same number -2 is 58 :
7x - 4x -2 = 58
Collect like terms
7x-4x = 58+2
3x = 60
3x/3 = 60/3
x = 20
Let the number be x
ATQ
[tex]\\ \sf\longmapsto 7x-4x-2=58[/tex]
[tex]\\ \sf\longmapsto 3x-2=58[/tex]
[tex]\\ \sf\longmapsto 3x=58+2[/tex]
[tex]\\ \sf\longmapsto 3x=60[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{60}{3}[/tex]
[tex]\\ \sf\longmapsto x=20[/tex]
Sam is five years old his brother Tom is three times as old as Sam when sam is 20 how old will Tom be?
Answer:
30
Step-by-step explanation:
5 x 3 = 15
15 - 5 = 10
20 + 10 = 30
Pls if anyone knows the answer with work included/steps that will be greatly appreciated :)
Answer:
1. Option D. 15x²
2. Option C. 3
Step-by-step explanation:
1. Determination of the area of one section.
Length (L) of one section = 25x/5 = 5x
Width (W) of one section = 3x
Area (A) of one section =?
The area of one section can be obtained as follow:
Area (A) = Length (L) × Width (W)
A = L × W
A = 5x * 3x
A = 15x²
Thus, the area of one section is 15x²
2. Determination of the expressions that are equivalent to (p²)³.
We'll begin by simplifying (p²)³. This can be obtained as follow:
(p²)³ = p²*³
(p²)³ = p⁶
Next we shall compare each expression given in the question above to see which will be the same as p⁶.
p × p × p × p × p × p = p¹⁺¹⁺¹⁺¹⁺¹⁺¹
p × p × p × p × p × p = p⁶
p² × p² × p² = p²⁺²⁺²
p² × p² × p² = p⁶
p² × p³ = p²⁺³
p² × p³ = p⁵
Thus,
p² × p³ ≠ p⁶
p⁵ ≠ p⁶
p⁶ = p⁶
SUMMARY
p × p × p × p × p × p = p⁶ = (p²)³
p² × p² × p² = p⁶ = (p²)³
p⁶ = (p²)³
Therefore, 3 expressions are equivalent to (p²)³. Option C gives the correct answer to the question.
Mr. Jerome has an outstanding balance of $12000 on his credit card. The interest rate on the card is 12% he intends to pay off
the card in 2 years. Find the APR on the card.
Please help me, by completing this proof!
Answer:
Step-by-step explanation:
Statement Reasons
1). Line PQ is an angle bisector of ∠MPN D). Given
2). ∠MPQ ≅ ∠NPQ A). Definition of angle bisector
3). m∠MPQ = m∠NPQ F). Definition of congruent
angles.
4). m∠MPQ + m∠NPQ = m∠MPN C). Angle addition postulate
5). m∠MPQ + m∠MPQ = m∠MPN G). Substitution property of
equality
6). 2(m∠MPQ) = m∠MPN B). Distributive property
7). m∠MPQ = [tex]\frac{1}{2}(m\angle MPN)[/tex] E). Division property of equality
Find the degree 9m^(2)+11m^(2)+2m^(2)
Ill give brainliest!
Answer:
The degree of this polynomial is 2.
Step-by-step explanation:
The degree of a polynomial is the highest of the degrees of the polynomial's monomials (individual terms) with non-zero coefficients. The degree of a term is the sum of the exponents of the variables that appear in it, and thus is a non-negative integer.
The given polynomial is:
[tex]9m^2+11m^2+2m^2[/tex]
The only variable is m.
The power of m in all terms is 2.
So, the degree of this polynomial is 2.
Meena's family took a road trip to Niagara Falls. Meena slept through
the last 49% of the trip. If the total length of the trip was 500 miles, how many miles had they travelled when Meena fell asleep?
245 miles
49/100*500 i guess it's the answer
Answer: 255 miles
Explanation:
Total length of the trip = 500 miles
Then 49% = 49/100×500
= 245 miles
Therefore she slept for 245 miles
How many miles had they travelled when meena fell asleep
= 51%
= 51/100×500
= 255 miles
Or
500 - 245
= 255 miles
Answered by Gauthmath must click thanks and mark brainliest
Solve the inequality (help pls)
Answer:
B
Step-by-step explanation:
(-2/3x)-10<1/3
(-2/3x)<1/3+10
(-2/3x)<31/3
x>-31/2, -31/2=-15 (1/2), x> - 15 (1/2)
I need help guys thanks so much
Answer:
A. 243
Step-by-step explanation:
[tex] 81^\frac{5}{4} = (3^4)^\frac{5}{4} = 3^{4 \times \frac{5}{4}} = 3^5 = 243 [/tex]
Answer: A
I just simplified it to 3^5, and that is also 243.
A triangle is rotated 90° about the origin. Which rule describes the transformation?
(x, y) (-x, -y)
O(x,y) (-y, x)
(x, y) (-), -x)
(x,y) →ly, -x)
Answer:
(x,y) -> (-y,x), second option.
Step-by-step explanation:
Rotation of 90 degrees about the origin:
The rule for a rotation of a point (x,y) 90 degrees about the origin is given by:
(x,y) -> (-y,x)
This is that the question asks, and so, this is the answer, which is the second option.
An electrician charges a fee of $40 plus $25 per hour. Let y be the cost in dollars of using the electrician for x hours. Choose the correct equation.
y = 40x - 25
y = 25x + 40
y = 25x - 40
y = 40x + 25
Answer:
y = 25x + 40
Step-by-step explanation:
The electrician charges $25 per hour.
The number of hours is x.
Therefore after x hours the electrician will charge $25x. (multiply the charge by the number of hours $25 * x)
Therefore fee(y) charged by the electrician = $40 + $25x
Hence y = 25x + 40
why is (3, -5) not a solution to -x+4=-15 and -2x-3y=-8
Step-by-step explanation:
-x+4y= -15
-2x-3y=-8
the intersection point isn't (3,-5)
it's approximately (-1.1818 ,3.45455 )
Answer:
see below
Step-by-step explanation:
Check the solution in both equation
-x+4 = -15
-3 +4 = -15
1 does not equal -15 so it is not a solution
-2x-3y = -8
-2(3)+-3(-5) = -8
-6 +15 = -8
9 = -8
It is not a solution to either equation
which of the following is the correct graph of the solution to the inequality -18 > 5x + 2 > -48?
Answer:
good luck
.............
Answer: the third one. filled circle for 4 ,5,6,7,8,9, open circle 10
Step-by-step explanation:
Can someone help me with this plz
Answer:
170.7
Step-by-step explanation:
We are aware that the base is a square, with side lengths 8cm, and we are given that the height is 8 cm. Since the volume of a square based pyramid is 1/3 x base area x height, we receive 1.3 x 64 x 8 which is 512/3 which is in turn 170.666 recurring. However, since this question asks you to round the the nearest tenth, you get 170.7
Based on the Nielsen ratings, the local Fox affiliate claims its 10:00 PM newscast reaches 31% of the viewing audience in the area. In a survey of 100 viewers, 26% indicated that they watch the late evening news on this local Fox station. What is the null hypothesis
Answer:
The null hypothesis is [tex]H_0: p = 0.31[/tex]
Step-by-step explanation:
Based on the Nielsen ratings, the local Fox affiliate claims its 10:00 PM newscast reaches 31% of the viewing audience in the area.
From the claim, we get the expected proportion, that is, the value tested at the null hypothesis. Thus, at the null hypothesis, we test if the proportion is of 31%, that is:
[tex]H_0: p = 0.31[/tex]
(A+B)^2
Giúp mình với ạ
Answer:
= a^2 + 2.a.b + b^2
If JKL = TUV which of the following can you not conclude as being true
Answer:
Step-by-step explanation:
D
Answer:
∠J ≅ ∠V
Step-by-step explanation: I took the same test (:
what is the area of a circle if the radius is 9 m
Answer:
(approximately) 254.34 meters
Step-by-step explanation:
Concepts:
Area is the amount of space a 2D shape has.The area of a circle is the amount of space it has. The formula to find the area is πr^2, where r is the radius and π is often represented as 3.14 or 22/7. The radius of a circle is a straight line from the center to the circumference of it. The radius is 1/2 of the diameter, meaning the diameter of a circle is a straight line passing from one side to the other side of the circle.Solving:
Let's use the formula for area of a circle to solve.
1. Formula for Area of a Circle
πr^22. Exchange π for 3.14
3.14 · r^23. Plug in the value of r (radius of circle) as 9
3.14 · 9^24. Simplify
3.14 · 81254.34Therefore, the area of a circle when the radius is 9 meters is approximately 254.34 meters.
