Wally's grandmother started a college savings account for him with
$3,000. What is the total amount of money in the account after 5 years if
the annual simple interest rate is 3%?
I need this plz help explain the proses thx ASAP

Answer:

60

Step-by-step explanation:

Step-by-step explanation:

Hey there!

Consecutive numbers are those numbers which comes from one after another without any gaping.

You can find consecutive numbers easily.

To find:

Natural consecutive numbers= 1,2,3,4,5.........

If your first natural number is "n" next is "n+1". Suppose if your first number is 1 when you add "1" again it becomes "2".

To find:

Consecutive even number= 2,4,6,8...............

In every step 2 more is added.

Steps : Let first number be "x" then second number is "X+1". Then 3rd number will be "x+4".

Suppose your first number is 2 then second will be 2+2= 4.

To find:

Consecutive odd number= 1,3,5,7,9.........

In every step add 2.

Steps: Let first number be "x" then second number will be "x+2". Suppose your first number is 5 then 2nd number will be 5+2=7.

Note: consecutive odd and consecutive even number has difference of 2 so, after 1st number we add 2 to find next number.

So, in this way we find consecutive numbers.

Hope it helps...

The energy diagrams of a mass in a spherical bowl can be analyzed to understand the potential energy distribution and the equilibrium points of the system.

In a spherical bowl, the gravitational potential energy is the dominant factor. As the mass moves within the bowl, its position relative to the center of the bowl determines its potential energy. The height of the mass above the bottom of the bowl corresponds to the potential energy at that point.

When analyzing the energy diagrams, several key points can be observed:

Lowest Point: The lowest point in the bowl represents the stable equilibrium position. At this point, the potential energy is at its minimum, and any slight displacement will cause the mass to move back towards the equilibrium position.

Highest Point: The highest point in the bowl represents the unstable equilibrium position. At this point, the potential energy is at its maximum, and any displacement will cause the mass to move away from the equilibrium position.

Potential Energy Curve: The energy diagram will have a curved shape, where the potential energy increases as the mass moves away from the equilibrium position. The shape of the curve will depend on the specific shape of the bowl.

Equilibrium Points: Apart from the lowest point, there may be other equilibrium points in the bowl where the potential energy is locally minimum. These points represent positions where the mass can temporarily rest without rolling down further, but they are not as stable as the lowest point.

Overall, analyzing the energy diagrams of a mass in a spherical bowl allows us to understand the equilibrium positions, potential energy distribution, and stability of the system. It provides insights into the behavior of the mass and how it will respond to external forces or disturbances.

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Answer:

4x+7 = 5x-20                  

(reason: vertical angles are congruent; property used: distributive)

7 = 1x-20

1x = 7+20

1x = 27

x = 27

Answer:

Function 2 shows a greater rate of change, because Richard spends $6 each month and Celina spends $2 each month.

Answer:

D) took test

Step-by-step explanation:

Answer:

A) The percent increase is by 30%.

B) for the original price = 15%.

B2.0) for the existing price (39) = approximately 11.54%.

Step-by-step explanation:

A) First, we divide 30 by 100. The result is the amount that 1% would be(0.3). If you multiply it by 30(which will become 30%) it will be 9. And from 30-39 is 9.

B) First we divide 30 by 100. The result is the amount that 1% would be(0.39). then if you multiply it by 11.54(which will become 11.54%) it will be 4.50(approximately because it actually is 4.5006 and there is no amount that ends up in 4.50). But if you are asking what percentage from the original cost(30) it would be 15% of it(because 0.3 * 15 = 4.50).

Answer:

208.333

Step-by-step explanation:

A quadratic model for a certain stock on Wall Street is given by :

\(P=-3d^2+50d\) ...(1)

(a) We need to find the maximum price per share of the stock. For maximum value, put :

\(\dfrac{dP}{dd}=0\)

\(\dfrac{d(-3d^2+50d)}{dd}=0\\\\-6d+50=0\\\\d=\dfrac{50}{6}\\\\d=8.34\)

price per share of the stock is maximum when the value of d = 8.34. Put the value of d in equation (1).

\(P=-3(8.34)^2+50(8.34)\\\\P=208.333\)

So, the maximum price per share of the stock is 208.333.

Answer:

56.25 cm

Step-by-step explanation:

your teacher wrote the approach already : the law of sines.

in our example we have

sin(28)/27 = sin(102)/c

c×sin(28)/27 = sin(102)

c×sin(28) = 27×sin(102)

c = 27×sin(102)/sin(28) = 27×0.98/0.47 = 56.25 cm

Answer:

Attached to this answer are some of the ways you could rewrite \(4*10^{-3}\)

Step-by-step explanation:

y= mx +C

So m, that is the slope of line will be 2.

Now the slope of required line will also be 2.

We can write

(y- (- 1)) =2 (x-(-4))

y+1 = 2(x+4)

y=2x+7

Answer:

2,620.

Step-by-step explanation:

thats the answer. have a nice day!

Answer: \(x=-\frac{1}{2}, y=\frac{9}{2}\)

Step-by-step explanation:

\(5x+7=7x+8\\\\2x=-1\\\\x=-\frac{1}{2}\\\\\implies y=5\left(-\frac{1}{2} \right)+7=\frac{9}{2}\)

Answer:

The factors of 32 are 32, 16, 8, 4, 2, 1. The factors of 72 are 72, 36, 24, 18, 12, 9, 8, 6, 4, 3, 2, 1. The common factors of 32 and 72 are 8, 4, 2, 1, intersecting the two sets above.

plz mark brainliest :DD

Answer:

The gcf of 32 and 72 can be obtained like this: The factors of 32 are 32, 16, 8, 4, 2, 1. The factors of 72 are 72, 36, 24, 18, 12, 9, 8, 6, 4, 3, 2, 1. The common factors of 32 and 72 are 8, 4, 2, 1,

Step-by-step explanation:

The average velocity from t = 2s to t = 4s would be - 48 ft/s.

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 an object is thrown upward with initial velocity of 48 feet per second from a high of 120 feet. The height of the object t seconds after it is thrown is given by h(t) = - 16t² + 48t + 120.

Average rate of change of velocity with time is called average velocity. Mathematically -

v{avg.} = Δx/Δt                                                         .... Eq { 1 }

Δx = x(4) - x(2)

Δx = - 16(4)² + 48(4) + 120 - {- 16(2)² + 48(2) + 120}

Δx = - 96

Δt = 4 - 2 = 2

So -

v{avg.} = Δx/Δt = -96/2 = - 48 ft/s

Therefore, the average velocity from t = 2s to t = 4s would be - 48 ft/s.

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Answer:

D

Step-by-step explanation:

area of a square is LW so the area of the square is 49 cm^2

the area of a triangle is 0.5×B×H so the area of 1 triangle is 35 cm^2

we have 4 triangles and 1 square so we find their sum and the answer will be 189 cm squared

a. The value of midsize car now if someone paid $14,100 for it 5 years and it is depreciating at a rate of 8.5% per year is $9,038.

To find the current value of the midsize car, we need to calculate the depreciation over the past 5 years.

Let V be the current value of the car, then we can write:

V = 14100 * (1 - 0.085)^5

V = 14100 * 0.915^5

V = 14100 * 0.641

V = 9038.1

Rounding to the nearest whole dollar, the value of the midsize car now is $9,038.

b. If someone pays $18,200 for a midsize car today, the number of years it would take to be worth $11,000 is 5.5 years.

To find out how long it takes for a car purchased at $18,200 today to be worth $11,000, we need to solve for t in the following equation:

11000 = 18200 * (1 - 0.085)^t

Dividing both sides by 18200:

0.604 = 0.915^t

Taking the natural logarithm of both sides:

log(0.604) = log(0.915^t)

Using the property of logarithms that log(a^b) = b log(a):

log(0.604) = t log(0.915)

Dividing both sides by log(0.915):

t = log(0.604) / log(0.915)

t = 5.67 ≈ 5 years 6 months approximately.

Therefore, we would expect the midsize car purchased at $18,200 today to be worth $11,000 after about 5.5 years, rounded to one decimal place.

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Answer:

17

Step-by-step explanation:

F(5) means you replace/ substitute all x's with 5's

Therefore, it would look like this:

f(x) = 3x + 2

f(5) = 3(5) + 2

f(5) = 15 + 2

f(5) = 17

The quadrilateral whose vertices are A(2, 3); B(4, -2);C(-1,-4); D(-3, 1) is a square.

Quadrilaterals are four sided polygons which also have four vertices and four angles.

Sum of all the interior angles of a quadrilateral is 360 degrees.

Given A(2, 3); B(4, -2);C(-1,-4); D(-3, 1)

Length of AB = \(\sqrt{(4-2)^2+(-2-3)^2}\) = √29 units

Length of BC = \(\sqrt{(-1-4)^2+(-4--2)^2}\) = √29 units

Adjacent sides are equal.

So the quadrilateral must be square or rhombus.

Now, find the length of diagonals.

If the diagonals are equal, then it is square. If they are not equal, then it is rhombus.

AC = \(\sqrt{(-1-2)^2+ (-4-3)^2}\) = √58 units

BD = \(\sqrt{(-3-4)^2+(1--2)^2}\) = √58 units

Diagonals are equal.

So it is a square.

Hence the quadrilateral is a square.

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Answer:

x + 3 7/10

Step-by-step explanation:

X represents the unknown number

Answer:

x=2,y=3 (2,3)

Step-by-step explanation:

substitution method?

\(x=\frac{5y-9}{3} \\\)

\(-\frac{4(5y-9)}{3} + 6y=10\)

simplify

(2,3)

Answer:

64

Step-by-step explanation:

first compute the bracket 2 cubed which is 8

then square the contents of the bracket which results in 64

Using the quadratic formula, the values of x for the equation 2x² + 25x - 9.3 = 0 are approximately x = -8.84 and x = 0.42.

To solve the quadratic equation 2x² + 25x - 9.3 = 0 using the quadratic formula, we first identify the coefficients of the equation: a = 2, b = 25, and c = -9.3. Plugging these values into the quadratic formula, we get x = (-25 ± √(25² - 4*2*(-9.3))) / (2*2).

Simplifying the expression under the square root, we have x = (-25 ± √(625 + 74.4)) / 4, which becomes x = (-25 ± √699.4) / 4.

Now, we can evaluate the two possible solutions. Using a calculator, we find that the square root of 699.4 is approximately 26.43. Therefore, the two solutions are x = (-25 + 26.43) / 4 and x = (-25 - 26.43) / 4. Evaluating these expressions, we get x = 0.42 and x = -8.84, respectively.

Therefore, using the quadratic formula, we find that the values of x for the given equation are approximately x = -8.84 and x = 0.42.

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The period of y = -2sin (2/3 x -4) is 3π. These three-digit groups are called periods. 893,450,243, for instance, has three periods with three digits each, as is demonstrated below.

length of

\($\sin \left(\frac{2 x}{3}\right) \rightarrow \frac{(3)(2 \pi)}{2}=3 \pi$\)

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<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3Answer:

Let's solve your equation step-by-step.

4x + x + 5 − 9 + x = −3 − 7 + x

Step 1: Simplify both sides of the equation.

4x + x + 5 − 9 + x = −3 − 7 + x

4x + x + 5 + −9 + x = −3 + −7 + x

( 4x + x + x ) + ( 5 + −9 ) = ( x ) + ( −3 + −7 )

( Combine Like Terms )

6x + −4 = x + −10

6x − 4 = x − 10

Step 2: Subtract x from both sides.

6x − 4 − x = x − 10 − x

5x − 4 = −10

Step 3: Add 4 to both sides.

5x − 4 + 4 = −10 + 4

5x = −6

Step 4: Divide both sides by 5.

5x / 5 = −6 / 5

x= −6 / 5

Answer:

x= −6 / 5

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

the third questions is 2/2 because when we divide 2 by two the answer is 1 so the is 2

Answer:

5

Step-by-step explanation:

Answer:

about 38.48 square feet

Answer:

14

Step-by-step explanation:

Ok, 60! is a really big number

\(x!=x(x-1)(x-2)...1\)

So we have 60*59*58...*1

2 times 5 is 10 which makes a terminal zero (ending zero)

We need to count how many fives and twos are in 60!

There are 60/5=12 5^1's

There are 60/25=2 5^2's

So 12+2=14

There are way more 2's than fives so we take the lesser number

So the answer is 14

*Note that 60/25 is not 2, we need an integer rounded down

Answer:

x = 44°

Step-by-step explanation:

The sum of the three angles is 180°.

So, x + x + 5 + 2x -1 = 180

4x + 4 = 180

4x = 176

x = 44°