Barbara buys
3 boxes of eggs costing £1.20 each
1 jar of mayonnaise costing £1.80
2 loaves of bread
She pays with a £10 note and gets £1.60 change.
Barbara works out the cost of 1 loaf of bread as £1.40
Is she correct?
You must show your working.

Answer: The correct interpretations about the graph of r(t) are B, D, and E.

Interpretation B is correct because the graph shows that the average mortgage rate fell to a relative minimum between 2002 and 2003.

Interpretation D is correct because the graph shows that the average mortgage rate was highest between 2006 and 2007, based on the absolute maximum.

Interpretation E is correct because an appropriate domain for this function would be 0≤t≤10, as t represents time and the graph shows data for the period between 2002 and 2010.

Interpretation A is not correct because the graph does not show that the average mortgage rate increased continuously between 2003 and 2005.

Interpretation C is not correct because the y-intercept does not represent the average mortgage rate in 2010. The y-intercept represents the value of the function when t = 0, which does not correspond to any time in the given data.

Step-by-step explanation:

Answer:

X=3,1/4

Step-by-step explanation:

4x²-(12+1)x+3=0

or,4x²-12x-x+3=0

or,4x(x-3)-1(x-3)=0

or,(4x-1)(x-3)=0

Either,4x-1=0➡️ 4x=1

X=1/4

OR,x-3=0➡️ X=3

Answer: (-8, -10)

Step-by-step explanation:

Answer: Answer below

Step-by-step explanation: So you would simply have to divide 8 into 72 which would be 9.

we can verify our answer by doing 9x8 which equals 72.

Answer: 9

Step-by-step explanation:

bears divided by shelves = number of bears per shelf

72 bears divided by 8 shelves= 9 bears per shelf

The measure of the arc opposite to 189° is 136°.

Secant lines are lines that intersect a curve at two distinct points. They are used to approximate the slope of the curve by measuring the change in the y-coordinate of the two points divided by the change in the x-coordinate of the two points.

The measure of the angle opposite to 189° is x.

To solve for x, we can use the property of alternate interior angles.

The sides of the two secant lines that intersect outside the circle form alternate interior angles whose measures are equal.

Therefore, the two angles formed by the secant lines inside the circle must have the same measure.

Therefore, 53° + x° = 189°.

Subtracting 53° from both sides, we get x° = 136°.

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Step-by-step explanation:

Well she went on a 4 mile jog and then came home so 4+4= 8. So she walked for 8 miles.

With an APR of 11.5%, Teagan decides to finance the generator for 24 months. 1.29% is Teagan's Rate.

In its most basic form, interest is computed as a percentage of the principle. The interest you would pay, for instance, would only be 5% of $100 if you borrowed $100 from a friend and agreed to reimburse it with 5% interest: $100(0.05) = $5.

An expense associated with borrowing money or other assets is interest. The principal, which represents the amount borrowed, is what's referred to as interest, which is calculated as a percentage of the principal over a specified period of time.

The interest rate for the loan is denoted by this proportion. When you place money in a high-yield savings account, for instance, a bank will give you interest.

= 11.5 x 1/100 = 0.155

= 0.155 ÷ 12 = 0.01291

= 1.29% Rate

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Answer: x=4

Distribute
4+1.8x=8+0.8x
Move terms
4+1.8x-0.8x=8
Collect liketerms
x=8-4
x=4

Answer: x = 4

Step-by-step explanation:

Given:

   4 + 1.8x = 8 (1 + 0.1x)

Distribute:

   4 + 1.8x = 8 + 0.8x

Subtract 0.8x and 4 from both sides of the equation:

   1x = 4

Divide both sides of the equation by 1:

   x = 4

The length of the fence must be 618cm

The volume that it can hold is 1,909,620 cm³

First, the fence is just equal to the circumference of the cylinder, remember that the circumfernce of a circle of diameter D is:

C = П*D

Here we use П = 3, then:

C = П*206cm

C = 3*206cm = 618cm

Now the volume, for a cylinder of diameter D and height H, the volume is:

V = П*(D/2)²*H

Replacing the values that we know we will get:

V = 3*(206cm/2)²*60cm = 1,909,620 cm³

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Step-by-step explanation:

c = number of cars used

v = number of vans used

5c + 12v = 60

as the sum of all students in cars and vans must be 60.

but this does not consider solutions with partly filled cars or vans.

Answer:

Option 1

Step-by-step explanation:

\( \sqrt[4]{ {a}^{6} {b}^{4} {c}^{8} } \\ = {a}^{6 \div 4} {b}^{4 \div 4} {c}^{8 \div 4} \\ which \: gives \: option \: 1\)

Answer:

Explanation:

Here, we want to check if Descartes was correct or incorrect

From the question, the fraction has a 3 in the denominator and a 1 in the numerator

What Descartes is saying is that:

What this simply means is that we are comparing a 1/3 to 3, which is not the same

Hence, we can confidently say Descartes is incorrect

Answer:

no violet turned violet and so you would turn violet because the inside of a bluberry is more violet than it is blue

Step-by-step explanation:love yall please give me brainliest

Answer and Step-by-step explanation:

4 hours on Monday, so subtract 4 from 16.

We get 12.

So now it says twice as many on Saturday as on Thursday

So two numbers that add up to 12, but one number is twice the other number, would be 4.

4 times 2 is 8, and 4 + 8 is 12. 12 + 4 = 16

8 is the answer.

Kyle works 8 hours on Saturday.

Since 8 is twice the amount of 4, and 8 + 4 + 4 equals 16.

#teamtrees #PWA (Plant And Water)

Answer:

V = 262.61 m³

Step-by-step explanation:

Given: Slant height of the cone is 9 inches, the diameter is 6.2 inches.

Formula: The formula for the volume of a cone is V = 1/3hπr².

Solve: V = 262.610935 m³

Answer: C

Step-by-step explanation: 50+2+80+8 is not right

The green family will double their investment in 34 years after the principal is subject to compound interest continuously.

The principal invested = $2500

Rate of interest annually = 2.75%

Time = t years

Amount  = double of principal = 2500 × 2 = $ 5000

Interest is compounded continuously

Formula to calculate the amount is given by:

\(A=Pe^{rt}\)

Now we will use the values to find the exact value of t

or, \(5000 = 2500 e^{0.0275t}\)

or, ln 2 = 0.0275t

or, t = 25.205 years

or, t ≈ 25 years

Compound interest allows interest to accumulate over time as opposed to simple interest, which does not compound because prior interest is simply not added to the principal for the current period.

The simple annual interest rate is obtained by multiplying the interest per period by the total number of periods in a year.

Hence the Green family will have doubled the investment in approximately 25 years.

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The algebraic expression of raise t to the 10th power then add the result to 3 is t¹⁰ + 3

An algebraic expression is an expression that is made up of variables and constants along with algebraic operations such as addition, subtraction, multiplication, exponent, etc.

Given: raise t to the 10th power then add the result to 3

Note: t is the variable here

Let's write algebraic expression now:

raise t to the 10th power => t¹⁰

then add the result to 3 => t¹⁰ + 3

Therefore, the algebraic expression is t¹⁰ + 3

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Answer:

Step-by-step explanation:

total interest paid is given as $4,643.46.

total payments = $429.95 x 36 months = $15,478.20

total lease payments = total payments - total interest

total lease payments = $15,478.20 - $4,643.46 = $10,834.74

Remaining balance = Total cost of the lease - Total lease payments

$23,495 - $10,834.74 = $12,660.26

Answer:

A = 530.929158457

Answer:

Area = 706.8583471

Explanation:

The used law to measure the surface area of the sphere is

\(area \: = 4\pi \: {r}^{2} \)

Where (r) is the radius. The radius is half the diameter, so it will be half 13 which is equal to 7.5. By using this law:

\(4\pi \: {7.5}^{2} = 706.8583471\)

The area of a rectangle is equal to the product of its sides.

If the sides are 4 1/2 feet and 2 3/4 feet, we can transform this mixed numbers into decimals and calculate the product as:

Answer: the area of the table is 12.375 square feet.

The inverse function:  \(f^{-1} (x) =\) \((\frac{x -5}{5} )^{2} -13\)

The inverse is defined on the domain x < 5 and x ≥ -13 for the original function, which means that the range of the original function is y ≥ 5.

A function is a relationship that exists between two sets of numbers, with each input from the first set, known as the domain, corresponding to only one output from the second set, known as the range.

Given function is;   \(f(x) = 5\sqrt{(x + 13)} + 5\)

To find the inverse of the given function, we first replace f(x) with y:

⇒  \(y = 5\sqrt{(x + 13)} + 5\)

Subtract 5 from both sides:

⇒ \(y -5 = 5\sqrt{(x + 13)}\)

⇒ \(\frac{(y -5)}{5} = \sqrt{(x + 13)}\)

⇒ \((\frac{y -5}{5} )^{2} = x + 13\)

⇒ \((\frac{y -5}{5} )^{2} -13 = x\)

Now we have x in terms of y, so we can replace x with f⁻¹(x) and y with x to get the inverse function:

f⁻¹(x) = \((\frac{x -5}{5} )^{2} -13\)

The domain of the inverse function is x ≥ 5, because this is the range of the original function, and we were given that the inverse is defined on the domain x < 5. However, we must also exclude the value x = 5, because the denominator of the fraction \((\frac{x -5}{5} )^{2}\) becomes zero at this value. Therefore, the domain of f⁻¹(x) is x > 5.

We were given that x ≥ -13 for the original function, which means that the range of the original function is y ≥ 5. Therefore, the domain of the inverse function becomes the range of the original function, and the range of the inverse function becomes the domain of the original function.

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Answer:

12%

Step-by-step explanation:

i just took test

The area of the hexagon is given as:

where P is the perimeter and a is the apothem.

Now, we need to notice that the we have the following triangle:

and we notice that x is half the length of each side of the hexagon.

From this triangle we notice that:

Once we found x that means that each side has length :

Now, the perimeter is:

Plugging this values and the apothem in the area formula we have that:

Therefore the area is 124.7 squared inches

Answer:

18x^2 - 40x / 3