1125 money will she have at the end of 10 years in the account after Simple Interest.
What is a basic example and interest?
Simple Interest (S.I.) is a way for figuring out how much interest will accrue on a specific principal sum of money at a certain rate of interest. For instance, if someone borrows Rs. 5000 at a rate of 10 p.a. for two years, they will pay S.I. on the borrowed money for those two years.Mary plans to invest = 2500
t = 10 yr
r = 4.5 %
simple intrest = prt/100
= 2500 * 10 * 4.5 /100
= 1125
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(4x+1)(4x+1)
im so confused
Answer:
16x² + 8x + 1
Step-by-step explanation:
(4x + 1)(4x + 1)
each term in the second factor is multiplied by each term in the first factor, that is
4x(4x + 1) + 1(4x + 1) ← distribute both parenthesis
= 16x² + 4x + 4x + 1 ← collect like terms
= 16x² + 8x + 1
Answer:
16 x 2 + 8x + 1
Step-by-step explanation:
Using the foil method we expanded the polynomial.
Find x and y pleaseee
Answer:
x = 23 y = 42
Step-by-step explanation:
y + 54 + 4x - 8 = 180
y + 4x = 180 - 46
y + 4x = 134
180 - (5x - 19) = 4x - 8
180 - 5x + 19 = 4x - 8
180 + 19 + 8 = 4x + 5x
207 = 9x
207/9 = x
x = 23
y + 4(23) = 134
y = 134 - 92
y = 42
solve the equation tanx+secx=2 given that x is greater than or equal to 0 and less than or equal to 2pie
X = 0.6444
Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions.
There are numerous distinctive trigonometric identities that relate a triangle's side length and angle. Only the right-angle triangle is consistent with the trigonometric identities.
The six trigonometric ratios serve as the foundation for all trigonometric identities. Sine, cosine, tangent, cosecant, secant, and cotangent are some of their names. The adjacent side, opposite side, and hypotenuse side of the right triangle are used to define each of these trigonometric ratios. The six trigonometric ratios are the source of all fundamental trigonometric identities.
tan x +sec x =2
⇒sin x /cosx + 1/ cos x = 2
⇒1+sin x / cos x =2
⇒ (sin² x/2 +cos ² x/2 +2 sin x/2 cos x/2 )/( cos ² x/2 - sin²x/2 ) = 2
⇒(cos x/2 +sin x/2)² / ( cos ² x/2 - sin²x/2 ) = 2
⇒( cos x/2+sin x/2)² / (cos x/2 + sin x/2)(cos x/2-sinx/2) = 2
⇒(cos x/2 +sin x/2)/ (cos x/2-sin x/2) = 2
Dividing by cos x/2 in both numerator and denominator,
⇒(1+tan x/2)/(1-tan x/2) =2
⇒ 1 + tan x/2 = 2 - 2tanx/2
⇒ tan x/2 = 1/3
⇒ x= 0.6444
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what is the net force on the object with a mass of 32kg and accelerating at 4.5m/s²
pls help me
Answer: 144N
Step-by-step explanation:
A=acceleration. N=net force. M=mass
A=N/M
4.5=N/32
4.5*32=N
N=144N
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Net Force acting on a body can be determined by formula :
[tex]\qquad \sf \dashrightarrow \: f = m \times a[/tex]
where,
f = force acting on the bodym = massa = Acceleration of the body due to net force exerted on it[tex]\qquad \sf \dashrightarrow \: f = 32 \times 4.5[/tex]
[tex]\qquad \sf \dashrightarrow \: f = 144 \: \: N[/tex]
So, the net force acting on the body is 144 Newtons.
A city has a population of 2,549,786 people. Estimate this population to the nearest million. Express your answer as the product of a single digit and a power of 10.
Rounded to the nearest million,the population is about ____
Written as the product of a single digit and a power of 10, this number is ___x 10^_
Please answer this ^-^
Answer:2,549,786 rounded to the nearest million is 3,000,000
Pls give me brainliest if I am rigth
Step-by-step explanation:3,000,000 written as a power of ten is
Are 12,16,20 pythagorean triplets. Explain why.
Answer:
The numbers that make up today's date—12, 16, and 20—form a Pythagorean triple. That is, 12² + 16² = 20².
Step-by-step explanation:
Answer:Yes, these are pythagorean triplets because they are multiples of 4. 4 times 3 is twelve.4 times 4 is 4.And 4 times 5 is 20.
Classify the angle as acute , obtuse , right , or straight
Answer:
From top to the bottom:
Acute,
Right,
Straight
Step-by-step explanation:
An acute angle is formed when the measure of the angle is smaller than 90° which is provided in te first image.
A right angle is formed when the measure of an angle is precisely 90° which we can see in the second image.
A straight angle is formed when the measure of an angle is precisely 180° no less no more, which we can see in the last image.
If the straight-line distance from her home to the university is 10. 3 km in a direction 25. 0° south of east, what was her average velocity in km/h?.
34.3 Km /h was her average velocity in km/h.
What is average velocity?
The change in position or displacement (x) divided by the time intervals (t) during which the displacement happens is the definition of average velocity. Based on the direction of the displacement, the average velocity might either be positive or negative. Meters per second (m/s or ms-1) is the SI measure for average velocity.The displacement of a body, or the shortest distance it must go during a trip, is calculated as the displacement multiplied by the time interval over which it covered that distance.average velocity = Displacement / time taken
V = d/ l
V = 10.3 Km/0.300m = 34.3Km
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the image i attached is the question
Answer:
D
Step-by-step explanation:
Solve for X:
3x-8≥7
3x≥15
x≥5
Any value of x is greater than or equal to 5
This is represented by answer D
Help? Anyone pls. I'd give brainliest
Answer:
3/2
Step-by-step explanation:
xy= -2 X -3
= 6
z = 4
so xy/z is 6/4 which is 3/2.
Error Analysis You and a friend are doing math homework together. You have to solve the equation 5x + 4x - 68 = 34 - 8x. Your friend arrives at the incorrect answer x = -2. Find the correct value of x. Then find the error your friend possibly made. X = What possible error could your friend have made to get x = -2? OA. Your friend should have added 68 to each side of the equation, but instead subtracted 68 from the right side. OB. Your friend should have added 8x to each side of the equation, but instead subtracted 8x from the left side. OC. Your friend should have added 5x and 4x to get a sum of 9x, but instead got a sum of 8x. *
please help. my math teacher is happy with my grade so im trying mu best to get it up. please answer this. it will help alot </3
Answer: x=6
Step-by-step explanation:
[tex]5x+4x-68=34-8x\\\\9x-68=34-8x\\\\9x-68+8x=34-8x+8x\\\\17x-68=34\\\\17x-68+68=34+68\\\\17x=102\\\\Divide \ both \ parts\ of\ the\ equation\ by\ 17:\\\\x=6\\[/tex]
Your friend should have added 68 to each side of the equation, but instead subtracted 68 from the right side.
[tex]17x=34-68\\17x=-34[/tex]
Divide both parts of the equation by 17:
[tex]x=-2[/tex]
Упростить выражение log54+log53 и итог умножить на два
Answer:
6.913339
Step-by-step explanation:
find the derivative of f(x)=3x+5
Answer: Derivative of f(x) =3x+5=3
Step-by-step explanation:
By the Sum Rule, the derivative of 3x+5 with respect to x is d/dx[3x]+d/dx[5]
d/dx[3x]+d/dx[5]
evaluate: d/dx[3x]
Since 3 is constant with respect to x, the derivative of 3x with respect to x is 3d/dx[x].
3d/dx[x]+d/dx[5]
Differentiate using the power rule
which states that d/dx[[tex]x^{n}[/tex]] is [tex]nx^{n-1}[/tex] where n=1.
3⋅1+d/dx[5]
Multiply 3 by 1.
3+d/dx[5]
Differentiate using the Constant Rule.
Since 5 is constant with respect to x, the derivative of 5 with respect to x is 0.
3+0
Add 3 and 0 = 3
So, derivative of f(x) =3x+5=3
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The expression 17n+11 represents the perimeter of the triangle. What is the length of the third side? Please Answer as soon as posable. Thank you.
Answer:the answer is 8n hope that helps!
2 ( x + a ) = 4b explain how i solve this not the answer how to sovle it please
Answer:
x = 2b - a
Step-by-step explanation:
2(x + a) = 4b
2x + 2a = 4b
x + a = 2b
x = 2b - a
I think this question is incomplete
A water tank is a cuboid 45cm long, 30cm wide and 26cm high. it contains water to a depth of 21cm. a sphere is placed in the tank and is fully submerged. the water level rises by 1.8cm. volume of a sphere is 4/3 pi r^3 . calculate the radius of the sphere (nearest mm)
The radius of the Sphere that submerged in the water is 178.9 mm.
Volume of the Cuboid:
Volume of cuboid is the total space occupied by the cuboid in a three-dimensional space.
The general form of the Volume of the Cuboid is,
Volume of a cuboid = l × b × h [cubic units]
Where,
l = length
b = breadth
h = height
Given,
A water tank is a cuboid 45cm long, 30cm wide and 26cm high.
It contains water to a depth of 21cm.
A sphere is placed in the tank and is fully submerged. the water level rises by 1.8cm.
Here we need to find the radius of the Sphere and we have to use the Volume of the sphere as 4/3πr³.
First, we need to find the volume of the water,
For that, we have to take the measurement of it.
l = 45 cm
b = 30 cm
h = 21 cm
( here we have to find the volume of water, so we have take the water depth as its height)
Now, the volume of the water is,
V₁ = 45 x 30 x 21
V₁ = 28350 cm³
After placed the sphere on the tank the water level is increased as 1.8 cm,
So, the new height = 21 + 1.8 = 22.8
Now the new volume is,
V₂ = 45 x 30 x 22.8
V₂ = 30780 cm³
So, the Volume of the increased water level is,
=> 30780 - 28350
=> 2430 cm³
Now we have to consider this as the Volume of the Sphere and calculate the radius through it,
=> 4/3πr³ = 2430
=> r³ = 2430 x 3/4 x π
we know that the value of π = 22/7
So,
=> r³ = 2430 x 3/4 x 22/7
=> r³ = 5727.86
=> r = ∛5727.86
=> r = 17.89
Therefore, the radius of the sphere is 17.89 cm
Now we have to convert it into mm,
=> 1 cm = 10 mm
So,
=> 17.89 cm = 178.9 mm
Therefore, the radius of the sphere is 178.9 mm.
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From midnight to 7:00 am, the temperature rose 1.1 C each hour. If the temperature at 7:00 am was -0.3 C, what was the temperature at midnight?
The temperature at midnight is -8°C.
How to calculate the temperature?Let the initial temperature be x.
It should be noted that there are 7 hours between midnight and 7am.
Therefore, the equation will be:
x + (1.1 × 7) = -0.3
x + 7.7 = - 0.3
x = -0.3 - 7.7
x = -8
The temperature at midnight is -8°C.
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Can someone help me find the perimeter of the figure in feet.
The slope for a wheelchair ramp for a home has to be 1/2. if the vertical distance from the ground to the door bottom is 3 ft, find the distance the ramp has to extend from the home in order to comply with the needed slope. write your work in the answer box.
Answer:
6 ft
Step-by-step explanation:
slope = [tex]\frac{rise}{run}[/tex] ( rise is vertical height and run is horizontal distance )
here vertical height = 3 and slope = [tex]\frac{1}{2}[/tex] , then
[tex]\frac{1}{2}[/tex] = [tex]\frac{3}{run}[/tex] ( cross- multiply )
run = 2 × 3 = 6 ft
If the price of an apple is $0.50, the marginal utility per dollar spent on the fifth apple is: ________
a) 20
b) 30
c) 40
The marginal utility per dollar spent on the fifth apple is 60. The correct option is D.
What is marginal utility?The marginal utility simply refers to the change or extra satisfaction derived from the change in consumption.
Hence, the marginal utility of the fifth apple equals :
Difference /change or extra satisfaction derived by consuming one more than 4 apples = (total utility of 5th apple - total utility of 4th apple)
= (250 - 220) = 30
Hence, marginal utility per dollar: Marginal utility/price per apple
Price per apple = $0.5
Marginal utility of 5th apple = 30
Marginal utility of 5th apple = 30 / 0.5
Marginal utility of 5th apple = 60
Therefore, the marginal utility per dollar spent on the fifth apple is 60. The correct option is D.
Complete question :
If the price of an apple is $0.50, the marginal utility per dollar spent for the fifth apple is:
a) 20
b) 30
c) 40
d) 60
Number of apples ____total utility
2__________________130
3__________________180
4__________________220
5__________________250
6__________________270
7__________________280
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. Evaluate the expression for x = 3, y=13 , and z = 5. 12x−3y4x−z
Enter your answer in the box. 42 BRAINLESS
Answer:
4
Step-by-step explanation:
replace x , y and z with the values given for them
12x - 3y + 4x - z
12(3) - 3(13) + (4)(3) - 5
36 - 39 + 12 - 5 = 4
Answer:it is 5
Step-by-step explanation:
i got it on the k12 test
The midpoint of \overline{\text{AB}}
AB
is M(1, -3)M(1,−3). If the coordinates of AA are (-6, -7)(−6,−7), what are the coordinates of BB?
Answer:
the coordinates of BB would be: B(8,1)
suppose that your college administration wants to charge a $100 fee per term for a reserved parking space on campus. the administration wants to know the percentage of students at the college who would support this fee. which sampling plan will best represent the opinions of students at your college?
Answer: When students register online, the question appears in a pop-up window that must be answered in order to proceed with registering. If students register in person, make them answer the question before their registration is processed.
Step-by-step explanation:
a sum of scalar multiples of two vectors (such as ab, where a and b are scalars) is called a linear combination of the vectors. let u, and v,. express , as a linear combination of u and v
The linear combination of u and v = <3,-27>=5U+4V.
What does linear combination in vectors mean?A linear combination of two or more vectors is the vector formed by multiplying two or more vectors (with distinct directions) by scalar values. The above equation demonstrates that the vector is produced by adding two vectors to three vectors.
What is the term "linear combination"?The term "linear" has two independent meanings: geometric and algebraic. Because linear combinations essentially linear in the both senses, the expression is accurate.
According to the given information:Let u= <3,3> and v= <-3,3>
<3,-27> = x< 3,3> + y<-3,3> = <3x - 3y, 3x + 3y>
3x - 3y = 3 => x - y = 1
3x + 3y = -27 => x + y = -9
Adding both, we get
2x = -8 => x = -4
y = -5
So <3,-27> = -4< 3, 3 > + (-5) < -3 , 3 >
The linear combination of u and v = <3,-27>=5U+4V.
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I understand that the question you are looking for is:
A sum of scalar multiples of two vectors (such as au + bv, where a and b are scalars) is called a linear combination of the vectors.
Let u= <3,3> and v= <-3,3>. Express <3,-27> as a linear combination of u and v.
Find, in gradient-intercept form, the equation of a line which has:
a gradient of -4/5 and which passes through (4,-2)
The gradient is -4/5, so the equation is of the form
[tex]y=-\frac{4}{5}x+c[/tex]
Substituting in the coordinates (4, -2),
[tex]-2=-\frac{4}{5}(4)+c \\ \\ c=\frac{6}{5} \\ \\ \therefore y=-\frac{4}{5}x+\frac{6}{5}[/tex]
Solve the quadratic equation by completing the square.
2
x² - 10x+10=0
Answer: x=5+[tex]\sqrt{15}[/tex]
Step-by-step explanation:
x² - 10x+10=0
x² - 5x - 5x+10=0
x² - 5x - 5x+25-15=0
(x-5)^2 -15=0
(x-5)^2=15
x-5=[tex]\sqrt{15}[/tex]
x=5+[tex]\sqrt{15}[/tex]
Options are PR = 18, 14, 9 and 11 please help me with which it is
Find the average of first six multiples of 2.
Answer:
7
Step-by-step explanation:
2+4+6+8+10+2
=42÷6(coz 6 multiples)
=7
maritza compro 1.5 litros de pintura azul. si empleo 1/2 del contenido de esa lata para pintar un mural
¿cuantos litros de pintura azul uso en este?
The fraction of 1/2 of the number of liters of blue paint is 3/4 therefore 3/4 liters of blue paint must be used to draw that painting.
What is a fraction?If we divide two numbers by each other then the upper word is called the numerator, a lower word is called the denominator, and the representation is known as the fraction.
Given that,
Maritza bought 1.5 liters of blue paint.
The given painting is going to be used 1/2 fraction of the total liters of blue paint.
1/2 of the blue paint ⇒
(1/2)1.5
⇒ (1/2)15/10
⇒ (1/2)3/2
⇒ 3/4 liters of blue paint.
Hence "The fraction of 1/2 of the number of liters of blue paint is 3/4 therefore 3/4 liters of blue paint must be used to draw that painting".
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The given question is in another language the translation in English is as follows;
Maritza bought 1.5 liters of blue paint. if I use 1/2 of the contents of that can to paint a mural
How many liters of blue paint do I use on this?
Simplify the quantity 12 minus three fifths times the square root of 25 end quantity squared plus the quantity 2 minus 4 end quantity squared.
1,804
814
85
18
The value of the expression (12 - 3/5√25)^2 + (2 - 4)^2 is 85
How to evaluate the expression?The expression is given as
(12 - 3/5√25)^2 + (2 - 4)^2
Evaluate the square root of 25
So, we have
(12 - 3/5√25)^2 + (2 - 4)^2 = (12 - 3/5 * 5)^2 + (2 - 4)^2
Evaluate the product
So, we have
(12 - 3/5√25)^2 + (2 - 4)^2 = (12 - 3)^2 + (2 - 4)^2
Evaluate the difference
So, we have
(12 - 3/5√25)^2 + (2 - 4)^2 = 9^2 + (2 - 4)^2
Evaluate the exponent and the sum
So, we have
(12 - 3/5√25)^2 + (2 - 4)^2 = 85
Hence, the value of the expression (12 - 3/5√25)^2 + (2 - 4)^2 is 85
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