Liam wants to buy raspberries and pears to make a fruit tart. Raspberries cost $2.50
per pound and pears cost $2.25 per pound. How much does he spend if he buys 3
ppunds of raspberries and 2 pounds of pears? How much does he spend if he buys a
pounds of raspberries and y pounds of pears?

\(x=4 , ~y = 6\\\\2(x+y) = 2(4+6) = 2(10) = 20\)

The overall percentage increase in the account balance from the initial deposit at the end of 10 years is $786.25 which is 87.36%.

What is compound interest?

The interest on savings that is computed on both the initial principal and the interest accrued over time is known as compound interest. Compound interest is computed by multiplying the starting principal amount by one and the annual interest rate is raised to the number of compound periods minus one. The final step is to deduct the initial loan principal from the calculated value.

When the amount compounds quarterly, it means that the amount compounds 4 times in a year. i.e., n = 4. We use this fact to derive the quarterly compound interest formula. Thus, the quarterly compound interest formula is:

A = P (1 + r/4)4t

Nicolas deposited $900 into an account that pays 6.48% annual interest compounded annually.

The balance in the account after 10 years was $1686.25.

INCREMENT in 10 years is 1686.25-900 = $786.25

So the percentage increment will be 900-786.25/ 900 = 87.36%

Hence, the overall percentage increase in the account balance from the initial deposit at the end of 10 years is $786.25 which is 87.36%.

Learn more about compound interest, by the following link

https://brainly.com/question/24924853

#SPJ9

Each student should work for 7 hours on the project.

Given, the equation the quantity x plus 56 end quantity over 3 equals 5 times x models the workload of a class project,

where x is the number of hours each student must contribute.

Now, according to question,

56 - 3x = 5x

56 = 5x + 3x

8x = 56

x = 7

So, x = 7 hours

Hence, each student should work for 7 hours on the project.

Learn more about Linear Equations here https://brainly.com/question/24085666

#SPJ1

Answer:

4 hours

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x = 14/3

Decimal Form:

x = 4.6

Mixed Number Form:

x = 4 2/3

Therefore, 4 hours is how much the students work on the project.

Answer:

66.7 percent hope this helps

Step-by-step explanation:

Answer:

500

Step-by-step explanation:

Answer:

20$

Step-by-step explanation:

because 20*5 =100 which 20 times 5 is the same thing as adding 20+20

+20+20+20 witch is 20$ per dog he walks. hope this helps!

Answer:

B. \(-5i\)

D. \(5i\)

Step-by-step explanation:

Remember that the imaginary unit is equal to:

\(i^2 = -1\)

And getting the square root in both sides of the equation we get:

\(i = \sqrt{-1} \quad \land \quad -i = \sqrt{-1}\)

The with our expression we develop of the next way:

\(x^2 = -25\\x = \sqrt{-25}\)

However in the real numbers doesn't exist solution for such operation then you use the complex numbers for represent the operation.

\(x = 5i \quad \land \quad x = -5i\)

In this occasion we use \(i\) and \(-i\) because both represent a negative square root, so our final answer is:

B and D

Answer:

m∠D=64°

m∠E=90°

m∠F=26°

DE=154°

EF=116°

DF=90°

Step-by-step explanation:

Hope this helps :D

phew, this took me time, so I would appreciate brainliest, thanks have a good day :)

Answer:

1/32xp

Step-by-step explanation:

but not sure was there a picture to go with this

Answer:

53degrees

Step-by-step explanation:

Find the diagram attached

<PQR = 75degrees

From the diagram'

<SQR + <PQS = <PQR

<SQR + 22 = 75

<SQR = 75-22

<SQR= 53degrees

Hence the measure of <SQR is 53degrees

Answer: 1 million

Step-by-step explanation:

Answer:

1,000,000

Step-by-step explanation:

Step 1:

400,000 + 600,000 = 1,000,000

Answer:

1,000,000

Hope This Helps :)

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

For more questions on trigonometric form

https://brainly.com/question/31744474

#SPJ8

Step-by-step explanation:

Given-

5.1 km/hr

Relation bween mph and km :-

\(1 \: mph = 1.609 \: km\)

So,

\( \frac{5.1 \: km}{1 \: h} \times \frac{1 \: km}{1.609} = 3.17 \: mph\)

Therefore, the answer is 3.17 mph.

Answer:

64 cans

Step-by-step explanation:

Given

\(Gallon = 8\)

Required

Determine the equivalent in pints

The standard unit of conversion;

\(1 gallon = 8 pints\)

Multiply both sides by 8

\(8 * 1\ gallon = 8 * 8\ pints\)

\(8\ gallons = 64\ pints\)

Hence, the artist will need 64 cans

The mean of the given data is 1744 days, median of the given data is 1460.5 days, mode of the given data is 1461 days & 4422 days.

To find the mean, median, and mode of the lengths of terms of the US Presidents that preceded Joe Biden:

Mean:

To find the mean, we add up all of the term lengths and divide by the total number of terms:

Mean = (4422 + 2922 + 2865 + 2840 + 2728 + 2041 + 2027 + 1886 + 1654 + 1503 + 1461 + 1460 + 1430 + 1419 + 1262 + 1036 + 969 + 895 + 881 + 492 + 199 + 31) / 44

Mean = 1743.77 days

Median:

To find the median, we need to arrange the term lengths in order from smallest to largest, and then find the middle term. In this case, since we have an even number of terms, we will take the average of the two middle terms:

31 199 492 881 895 969 1036 1262 1419 1430 1460 1461 1503 1654 1886 2027 2041 2728 2840 2865 2922 4422

Median = (1460 + 1461) / 2

Median = 1460.5 days

Mode:

The mode is the most frequently occurring term length. In this case, there are two modes: 1,461 days and 4,422 days.

Since the term length of FDR is much higher than all the other term lengths, it has pulled up the mean to a higher value than the other measures of central tendency. Additionally, the mode being a high value is likely due to the fact that FDR served for more than three terms, which is an outlier in the data set.

For more such questions on Mean & median

https://brainly.com/question/26177250

#SPJ4

Answer:

Scatterplot c shows a linear association.

Answer:

5000

hope this helps you :)

The significant figure of 5049 to 1 is:

=> 5000

There are four significant digits while 5000 could contain one, two, three, or four significant digits.

Significant figures are the number of digits in a value, often a measurement, that contribute to the degree of accuracy of the value. We start counting significant figures at the first non-zero digit. Calculate the number of significant figures for an assortment of numbers.

We have the question is:

Round 5049 correct to 1 significant figure​

So, 5049 to 1 significant figure is 5000

There are four significant digits while 5000 could contain one, two, three, or four significant digits.

Learn more about significant figure at:

https://brainly.com/question/33320498

#SPJ3

The incorrect phrases in the paragraph are as follows:

Since ∠AMC is a right angle,  ∠BMC and  ∠CMD are complementary.

Since  ∠BMD is a right angle,  ∠AMB and  ∠BMC are complementary.

To identify the wrong phrases, note that a right angle is an angle that forms 90° when inclined to another line. Also, complementary angles are those whose sum is 90°.

A close look at the angles will show that ∠BMD is a right angle but ∠BMC and  ∠CMD are complementary. Also, the following is correct: ∠AMC is a right angle,  ∠AMB and  ∠BMC are complementary.

Learn more about right angles here:

https://brainly.com/question/64787

#SPJ1

To factor is to apply the distribute property backwards.

The distributive property is:

To factor is:

Then, we need to find, in the two terms of the question, common factors of them.

We have:

We have an x in both terms, then we can rewrite:

Also, we can see that both term are divisible by 5. Then we can write:

And now we can factor 5:

Thus, the expression, factored is:

Answer:

Step-by-step explanation:

The equation of the circle is

(x – h)²+ (y – k)² = r²

(h, k) = (2, 7/2) and r = 5/2

So,

(x - 2)² + (y - 7/2)² = 24/4

A circle is a two-dimensional figure with a radius and circumference of 2 x pi x r.

The area of a circle is given as:

We have,

The equation of a circle is represented as,

(x – h)²+ (y – k)² = r²

where (h, k) is the center of the circle and r is the radius of the circle.

The coordinates of the center of the circle can be calculated using the endpoints of a diameter of a circle:

(6, 2) and (-2,5).

The midpoint of the diameter is the center of the circle.

x = (6 - 2) / 2 = 4/2 = 2

y = (2 + 5) / 2 = 7/2

The coordinate of the center of the circle is (2, 7/2).

Distance between (6, 2) and (-2, 5)

= √(-2 - 6)² + (5 - 2)²

= √(64 + 9)

= √25

= 5

The radius of the circle.

= 5/2

Thus,

The equation of the circle is

(x – h)²+ (y – k)² = r²

(h, k) = (2, 7/2) and r = 5/2

So,

(x - 2)² + (y - 7/2)² = 24/4

Learn more about circle here:

https://brainly.com/question/11833983

#SPJ5

From the circle the value of angle x is 90 degrees

We have to find the value of x

The radius of the circle is 18.5

As we observe the figure the angle x is opposite to the 90 degrees

The angle x and angle 90 degrees are vertical angles

We know that the vertical angles are equal or same

∠x = 90 degrees

Hence, the value of angle x is 90 degrees from the circle

To learn more on Circles click:

https://brainly.com/question/11833983

#SPJ1

Answer:

Step-by-step explanation:

Step-by-step explanation:

Area of square = 36cm^2

Area of each rectangle = 1 1/3 of 36cm^2

= 4/3 × 36 = 4 × 12 = 48cm^2.

By inspection one can see that the magnitude of the dimensions of the square is common for all the rectangle as their width (base).

But Area of a square = side squared (s^2)

so we have: 36 = s^2

taking the square root of both sides:

we have:. s = 6cm.

hence each rectangle has a width of 6cm.

But Area of a rectangle = L × W

48 = L × 6

48 = 6L

L = 8cm

hence each rectangle has a length of 8 cm.

perimeter of outward dimensions of each rectangle = L + L + W = 2L + W

since the rectangles are four in number;

the perimeter of the area shaped pattern

= 4(2L + W)

= 4(2(8) + 6)

= 4(24) = 96cm.

The walkway is 11 feet 6 inches long.

To find the length of the walkway, we need to add the lengths of the two boards.

The first board is 6 feet 11 inches long, which can be written as 6 + 11/12 feet using the fact that there are 12 inches in a foot.

The second board is 5 feet 7 inches long, which can be written as 5 + 7/12 feet.

Now we can add the lengths of the two boards:

6 + 11/12 feet + 5 + 7/12 feet

= 11 + 6/12 feet

=11 + 1/2 feet

Therefore, the walkway is 11 feet 6 inches long.

To learn more on Coordinate Geometry click:

brainly.com/question/27326241

#SPJ1

Answer:

C:0.24

Step-by-step explanation:

Nina's average cost per day for these four services is $5.

Since, Nina's monthly cost for the cable TV services is $99, and her monthly cost for cell phone calls and text messages is $59.70.

So her total monthly cost is:

$99 + $59.70 = $158.70

Now we need to find the number of days in a month.

Since, There are different ways to do this, but if we assume a month has 30 days,

= $158.70 / 30

= $5.29 (rounded to the nearest cent)

Therefore, Nina's average cost per day for these four services is $5.29. Rounded to the nearest dollar, her average cost per day is $5.

So, Nina's average cost per day for these four services is $5.

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ1

Answer:

a) 952

b) 136

Step-by-step explanation:

Ratio of b:g = 3:4, based on this we have:

Number of spectacle wearers:

Number of those not wearing spectacles:

And this number equals to 612, then we can find the value of x:

a) Total number of pupils:

b) The difference in the number of boys and girls:

Answer:

total number of students: 952

number of girls more than boys :136 more girls

Step-by-step explanation:

1/3 of boys +3/8 girls= spectacles

612 people do not wear spectacles

3:4= boys: girls

total number of students

3+4=7

boys + girls = total ratio

7= total ratio

1/3×3=1 3/8×4=3/2

1+3/2=5/2

7-5/2=9/2 9/2=612 students

If 9/2=612 Then 7=?

7= 7÷ 9/2×612

=952 people

Girls more than boys

if 7= 952

3= 3/7 × 952=408 boys

if 7 = 952

4= 4/7 ×952=544girls

Girls - boys

544- 408 = 136 girls

Answer:

There are 54 granola bars left.

Answer:

53/7

Step-by-step explanation:

7 x 7 = 49 so the 7 is worth 49/7. When you add the 49/7 to the 4/7 you get 53/7 because the denominator will stay the same. This fraction is unable to be simplified.

The statement is true about the home appliances sales is "Home appliances sales increased profits by 8 percentage points".

Given that ,

The right answer is that 90% of all random samples of 50 students from this high school would produce a 90% confidence interval that contains the actual mean amount of money students spend on lunch.

an appliance store manager noted that the sales of home appliances contributed

74 % of the store profits in the year 2010, and 82 % in the year 2011.

Thus, the profit in the year 2010 is 74 %.

The profit in the year 2011 is 82 %.

The increased profit from year 2010 to 2011 is ( 82-74 ) % = 8%

Hence, the statement true about the home appliances sales is "Home appliances sales increased profits by 8 percentage points".

To know more about Profit click here:

brainly.com/question/15036999

#SPJ4