When rounded to the nearest thousand and elephant weight is 5,000 pounds. What is the least amount the elephant could weigh?

Part A:  If her finance charge will be $51, an equation to determine Rebecca's current credit card balance is x = (51 - 1) ÷ 0.02.

Part B: Rebecca can save $27 in finance charges by making the purchase on the last day of the billing cycle instead on the first day.

An equation is a mathematical statement showing that two or more mathematical expressions share equality in value.

Equations are depicted using the equation symbol (=).

A finance charge includes the interest and other fees charged on credit cards.

The finance charge is usually based on a stated APR (annual percentage rate).

The billing cycle for the month = 28 days

Current beginning balance = x

Annual percentage rate (APR) = 24%

Monthly percentage rate (MPR) = 2% (24% ÷ 12)

Purchase on the last day = $1,400

Total finance charge for the month = $51

Finance charge for the last-day purchase = $1 ($1,400 x 2% x 1/28)

Finance charge for the beginning balance = $50 ($51 - $1)

The current beginning balance, x = $2,500 ($50 ÷ 2%)

Equation for current beginning balance, x = 51 - 1 ÷ 0.02

Total finance charge for the last-day purchase = $28 ($1,400 x 2%)

Savings in finance charge by purchasing ont the last day = $27 ($28 - $1)

Thus, Rebecca can save $27 in finance charge when she purchases the $1,400 gift for her friend on the laset day of the billing cycle instead of on the first day.

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Answer:

the answer is 0.3

Step-by-step explanation:

this is because 7 2/5 is equal to 2.8 then if you add all of the number together you will get 24.7 meaning that if you add 0.3 to that you will have your answer of 25

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The explicit formula of the sequence is Tn = 30 - 20(n - 1)

The recursive formula of the sequence is given as

f(1) = 30, f(n) = 2 • f(n - 1) - 50

The above means that

f(n) = 2 • f(n - 1) - 50

f(1) = 30

Substitute 2 for n

So, we have

f(2) = 2 • f(2 - 1) - 50

Evaluate the difference

So, we have

f(2) = 2 • f(1) - 50

Substitute f(1) = 30 in f(2) = 2 • f(1) - 50

f(2) = 2 • 30 - 50

Evaluate

f(2) = 10

Substitute 3 for n

So, we have

f(3) = 2 • f(3 - 1) - 50

Evaluate the difference

So, we have

f(3) = 2 • f(2) - 50

Substitute f(2) = 10 in f(3) = 2 • f(2) - 50

f(3) = 2 • 10 - 50

Evaluate

f(3) = -30

So, we have the first three terms to be

30, 10, -10

The above represents an arithmetic sequence, where

First term, a = 30

Common difference = -20

The nth term of the sequence is

Tn = a + (n - 1)d

So, we have

Tn = 30 - 20(n - 1)

Hence, the explicit formula of the sequence is Tn = 30 - 20(n - 1)

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The value of x is 14.

We know in an isosceles triangle an isosceles polygon is a polygon with at least two sides of equal length.

We have two sides measured 2x-9 and x+ 5.

From the figure the length of sides are equal then

2x-9 = x+ 5

2x- 9- x = 5

x-9 = 5

Add 9 to both sides of the equation:

x - 9 + 9 = 5 + 9

x= 14

Thus, the value of x is 14.

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Answer:

m∠ 1 = 128

m∠ 2= 52

m∠3 = 47

m∠4 = 133

m∠5 = 81

Step-by-step explanation:

not sure if this is correct

On solving the provided question, we can say that -  here in graph we have on solving equation  \(2x^2+ 9y^2 \\\) = \(8 + 9 = 17\)

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

here,

from graph, x= 2

y = 1

\(2x^2+ 9y^2 \\\)

\(8 + 9 = 17\)

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Answer:

True

Step-by-step explanation:

In 1 h, the level in the pond increases 1 ft. One way to find how many feet the level increases in 30 min is to multiply One way to find how many inches the level increases in 2- h is to multiply 2. 2 of 5 Completed

Answer:

True

Step-by-step explanation:

In 1 h, the level in the pond increases 1 ft. One way to find how many feet the level increases in 30 min is to multiply One way to find how many inches the level increases in 2- h is to multiply 2. 2 of 5 Completed so that is ture

Noting that the tip is one among the total sum charged on the bill is the best strategy for computing the required 20% tip using fractions.

aggregate attempting to determine the whole amount, time, or quantity. The amount at issue or under investigation is very active. the overall outcome, significance, or import. a third accounting, the principal, and the interest. There are word forms for quantities, amounting, and amounted. adaptable noun A thing's quantity is how much of it there is, that however much someone have, the amount you require or how much you can get. He needs that much money to make ends meet.

given

You can use a fraction to express the percentage 20%.

This is inferred from the fact that the sign for percentage,% means to divide by 100.

Therefore, it is important to understand that 20% equals 20/100, or 1/5.

As a result, the 20% tip represents one-fifth of the total.

Noting that the tip is one among the total sum charged on the bill is the best strategy for computing the required 20% tip using fractions.

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The diameter of the tin in the picture is  \(3d/5\) where 'd' is the diameter of the tin in reality.

Determining the diameter of tin:

Since there is no indication of dimensions, represent the diameter with a variable 'd' and find the diameter of the tin according to the given condition in the problem.

Here we have assumed that the diameter of the tin is 'd' in reality and the diameter of the tin picture can be calculated as given below.  

Here we have

A ricoffy tin container with no dimensions indicated

Let d and h be the diameter and height of the tin

Given that the container is 2/5 times smaller than d

then the diameter of the tin in the picture \(= d - 2/5(d)\)

\(= [5d - 2d]/5 = 3d/5\)

Therefore, The diameter of the tin in the picture is  \(3d/5\) where 'd' is the diameter of the tin in reality.

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Answer:

yes she is correct

Step-by-step explanation:

Answer:

B: rectangle JKLM ~ rectangle QRSP

Step-by-step explanation:

5/6=0.83

12.5=0.83

JK corresponds to QR

JM corresponds to PQ

rectangle JKLM ~ rectangle QRSP

\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases}\)

we know the vertex is at h = 3 and k = -5

\(\stackrel{vertex}{(\stackrel{h}{3}~~,~~\stackrel{k}{-5})}\qquad \implies y=(x-3)^2-5\)

Answer:

8 ones quotient

0 one remaining

Step-by-step explanation:

there is no remaining

Answer:

I think a is the answer

Step-by-step explanation:

........?.......?

9514 1404 393

Answer:

  a) see attachment

  b) base: 4, height: 4√3

  c) area: 16√3

Step-by-step explanation:

a) The figure is drawn in the attachment

__

b) The side lengths of a 30-60-90 right triangle have the ratio ...

  1 : √3 : 2

Multiplying these by 4 gives the side lengths of each triangle created by the diagonal. The base (short leg) is 4 units; the height (long leg) is 4√3 units.

__

c) The area is the product of base and height:

  A = bh

  A = 4(4√3) = 16√3 . . . . square units

Answer:

y = -2/3x - 18

Step-by-step explanation:

The equation can be rewritten in slope-intercept form by subtracting 9 from each side (to isolate y) and then multiplying both sides by 6/1 to clear the fraction. This gives us: y = -2/3x - 18, which is written in simplest form, using integers, proper fractions, and improper fractions. Hope this helps!

Answer:

80%

25 + ( 80(%)/100 × 25)

The angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.

Given sinz = -4/5 for pi < z < (3pi)/2, we need to find the value of cosz. We can use the trigonometric identity of Pythagorean theorem to find the value of cosz.

According to Pythagorean theorem, sin2θ + cos2θ = 1, where θ is the angle in the right-angled triangle and sin, cos are the trigonometric ratios.

The negative sign for the given sinz indicates that the angle z is in the third quadrant. So, we can take the help of the unit circle to find the value of cosz as shown below:

Here, we have used the Pythagorean identity of sin2z + cos2z = 1 on the unit circle to find the value of cosz. Since the value of sinz is already given, we can find the value of sin2z as: sin2z = sinz x sinz = (-4/5) x (-4/5) = 16/25

Then, we can substitute the value of sin2z in the Pythagorean identity as: cos2z = 1 - sin2z = 1 - (16/25) = 9/25We need to find the value of cosz.

So, we can take the square root of cos2z as: cosz = ±(√(9/25)) = ±(3/5)The sign of cosz can be determined by considering the quadrant of the angle z.

Since the angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.

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The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.

To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.

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Answer:

15

Step-by-step explanation:

Use Pythagorean:

x² + 2.75² = 15.25²

x² = 15.25² - 2.75²

x² = 225

x = √225

x = 15

Answer:

9.75^2 times by \(\sqrt\\\)22.25 is 448.408915683

Step-by-step explanation:

The minimum amount that Mr. Khumalo can be charged for the cash deposit is R99.12.

To calculate the minimum amount charged for a cash deposit over the counter at Standard Bank, we'll use the given information.

The deposit charge includes an initial fee of R10.39, and an additional fee of K1.95 per R100 or part thereof, with a minimum charge of R16.00.

First, we calculate the additional fee based on the deposit amount:

Additional fee = (Deposit amount / 100) x K1.95

For Mr. Khumalo's deposit of R4,550.00:

Additional fee = (4,550.00 / 100) x 1.95

Additional fee = 88.725

Next, we compare the additional fee to the minimum charge of R16.00:

If the additional fee is less than the minimum charge, the minimum charge applies. Otherwise, the additional fee is charged.

Since the additional fee of R88.725 is greater than the minimum charge of R16.00, the additional fee will be charged.

Finally, we add the initial fee and the additional fee to get the total charge:

Total charge = Initial fee + Additional fee

Total charge = R10.39 + R88.725

Total charge = R99.115

Therefore, the minimum amount that Mr. Khumalo can be charged for the cash deposit is R99.12.

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Answer:

2/5 or 0.4.

Step-by-step explanation:

6/15 = 2/5

Plug in the value of p:-

16+2q=40

Subtract 16 from both sides:-

2q=40-16

2q=24

Divide both sides by 2:-

q=12 ✓

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

0.44

Step-by-step explanation:

This is a probability question asking for the probability of a single event.

To find this answer, you just need to find the following fraction:

P= (number of favorable outcomes) / (number of total possible outcomes)

Given that, the total possible outcomes in our question are 225.

This is because the sample space is of students who are taking physics. ("given that they are taking physics")

Our favorable outcomes are 99 since 99 students are taking both AMDM and physics. You can not guarantee that the 228 students mentioned at the beginning are in your sample space as many have not taken physics, so 99 is your number of favorable outcomes.

If we put that in the equation we get:

P=99/225

Simplify

0.44

or 44%

Using the prοperties οf the triangle the values are οbtained as -

m ∠DGE = 47.5°

m ∠EDG = 85°

FD = 8.30

GD = 13

EG = 20

Triangles are a particular sοrt οf pοlygοn in geοmetry that have three sides and three vertices. Three straight sides make up the twο-dimensiοnal figure shοwn here. An example οf a 3-sided pοlygοn is a triangle. The tοtal οf a triangle's three angles equals 180 degrees. One plane cοmpletely enclοses the triangle.

Twο triangles ADC and DEG are given.

In triangle ADC the measure οf angle A is given as 45°.

And the measure οf angle C is given as 50°.

Accοrding tο the prοperties οf a triangle, the sum οf angles οf a triangle is 180°.

So, mathematically this can be represented as -

∠A + ∠D + ∠C = 180°

Substituting the values into the equation -

45° + ∠D + 50° = 180°

∠D + 95° = 180°

∠D = 180° - 95°

∠D = 85°

The measure of angle D is obtained as 85°.

Now, since ∠ADC and ∠EDG are vertically opposite angles so they are equal.

So, mathematically this can be represented as -

∠EDG = ∠ADC

∠EDG = 85°

Also, the angle ∠EDG is bisected by the line segment BF.

So, in ΔDFG we have ∠FDG = 85/2 = 42.5°.

Now, in ΔDFG , the sum of angles of a triangle is 180°.

So, mathematically this can be represented as -

∠GFD + ∠FDG + ∠DGF = 180°

Substituting the values into the equation -

90° + 42.5° + ∠DGF = 180°

132.5° + ∠DGF = 180°

∠DGF = 180° - 132.5°

∠DGF = 47.5°

Now, in ΔDEG we have -

∠DGF = ∠DGE

∠DGE =  47.5°

Since, line segment FD is a bisector so we have -

EF = FG

EF = 10

Now, in Δ DFE Since, line segment FD is a bisector so we have -

EF = FG

EF = 10according to Pythagoras theorem we have -

ED² = EF² + FD²

Substituting the values into the equation -

13² = 10² + FD²

FD² = 13² - 10²

FD² = 169 - 100

FD = √69

FD = 8.30

Therefore, the value for FD is obtained as 8.30.

Now, in Δ DFG according to Pythagoras theorem we have -

DG² = FG² + FD²

Substituting the values into the equation -

DG² = 10² + √69

DG² = 100 + √69

DG = √(100 + √69)

DG = √169

DG = 13

Therefore, the value for DG is obtained as 13.

Since, line segment FD is a bisector so we have -

EG = EF + FG

EG = 10 + 10

EG = 20

Therefore, the value for EG is obtained as 20.

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