Barbara has x dollars to spend. Joe has 2x + 3
dollars to spend. Which of these expressions
represents the total amount of money Barbara and
Joe have to spend?

The balance amount at the end of 4 years in the account will be $53275

Principal amount= $44200

Rate of interest = 5% compounded annually

Number of years amount is invested for: 4 years

The formula for compound interest is given by:

A = P(1 + r/100)^n

where A = Final amount

P = principal amount invested

r = Rate of interest annually

n = number of years amount is invested

Putting the values in the formula we get:

A = 44200(1 + 5/100)^4

= 44200(1.05)^4

=44200*1.21

Amount at end of 4 years= 53725.37 or 53725

So, the balance amount at the end of 4 years in the account will be $53275

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297 mm is  nearest millimetre complete this statement .

The definition of convert units?

1 cm = 10mm

the length of a sheet of paper = 29.7 cm

the nearest millimetre = 29.7 * 10 = 297 mm

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Answer:

4 1/6

Step-by-step explanation:

Dave eats 3 3/6

Daisy eats 4/6

Together they eat 3 1/6

First you have to make it to a common denominator for Dave and Daisy. then you add the fractions.

4 full pizzas plus 1/6 of a pizza

i.e. 4 full pizzas plus one extra slice

======================================================

Explanation:

1/2 = 3/6

2/3 = 4/6

The fractions add to 1/2 + 2/3 = 3/6 + 4/6 = 7/6 = 1 & 1/6

That first "1" is the carry and it adds to the 3 whole pizzas Dave ate. So we have 3+1 = 4 full pizzas consumed, plus an additional 1/6 of a pizza.

This gives the mixed number 4 & 1/6

Check out the diagram below. I show Dave's slices in blue, and Daisy's slices in pink for the first two rows. The third row is the combination of those slices to get 4 full pizzas and 1 extra slice (to represent that extra 1/6). Let me know if you have questions about the diagram, or the steps in general.

The ideal substitute is OBS Studio, which is both open source and free. Simple Screen Recorder, Camtasia Studio, are other fantastic applications.

What is Windows Gamebar?

Is audio captured by Windows game capture?

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The water level after the rainfall is 1.75 below average.

From the information, the water level in Colorado river is 2.55 m below average. a large rainfall caused and the water level to rise 0.8 m.

The water level after the rainfall will be:

= -2.55 + 0.8

= -1.75

Therefore, the water level after the rainfall is 1.75 below average.

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Using an exponential function, it is found that it takes 20 days for everyone in the town to catch the virus.

An exponential function is given as follows:

[tex]y = ab^x[/tex]

In which:

For this problem, we have that:

From this, we get that the parameters are given as follows:

a = 1, b = 2.

Hence the function for the number of contaminated people after t days is given by:

[tex]f(t) = 2^t[/tex]

Now, we have to solve for t when f(t) = 700000, hence:

[tex]2^t = 700000[/tex]

[tex]\log{2^t} = \log{700000}[/tex]

[tex]t\log{2} = \log{700000}[/tex]

t = log(700000)/log(2)

t = 19.4, rounded to 20.

It takes 20 days for everyone in the town to catch the virus.

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Answer:

The answer is -4.

Step-by-step explanation:

Whenever you're adding a positive number to a negative number you are basically subtracting. So 3+-7 will be -4.

Answer:

B)2:3

Step-by-step explanation:

the spinner has all the rainbow colors and thus two colors(blue and yellow) are 2 out of 6 possibilities. the odds against these is 4 out of six (2:3)

Applying the angle addition postulate, the measure of angle ROS is: 16°

Given the following angle measures:

m<QOS = 49°

m<POR = 56°

m<POQ = 23°

Find the measure of  angle QOR:

m<QOR = m<POR - m<POQ [angle addition postulate]

Substitute the values into the equation

m<QOR = 56 - 23

m<QOR = 33°

Find the measure of angle ROS:

m<ROS = m<QOS - m<QOR [angle addition postulate]

Substitute the values into the equation

m<ROS = 49 - 33

m<ROS = 16°

Therefore, applying the angle addition postulate, the measure of angle ROS is: 16°

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Answer:

4/36 but reduce to lowest terms.

Step-by-step explanation:

The rolls that add up to 5 are 1 and 4, 4 and 1, 2 and 3, and 3 and 2 for a total of 4 possibilities. then divide 4 by the total number of possibilities which is 6 times 6.

4/36 which you can also reduce to lowest terms.

Answer:

g is the acceleration due to gravity.

if right please mark me brainliest

Answer: 18

Step-by-step Explanation:

Subtract: 5 from 41 | 41-5= 36

Divide: by 2 | 36/2= 18

Answer:18

Step-by-step explanation:

SUBTRACT41 FROM 5

THAT GIVES YOU 38

THEN DIVIDE 38/2 AND IT WILL GIVES 18

Table C has a constant proportionality between y and x of 0.3.

A constant is an expression-unchanging value or number. It always has the same value.

In mathematics, proportionality denotes a linear relationship between two quantities or variables. Both quantities increase in size when one double, and both decrease in size when one drops to a tenth of its original value.

The answer is the same as the one in the y column when you multiply the x number in table C by 0.3. The value that remains constant in the ratio is the proportionality constant. It is evident that table C is accurate because when you multiply each value in the x column by 0.3, the result is always the value in the y column.

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Answer:

7.62×10^-5

Step-by-step explanation:

Answer: 0.000076

Step-by-step explanation:
8.41(10^-5) - 7.9(10^10-6)
= 8.41 (1/100000) - 7.9(10^-6)

= 0.000084 - 7.9(10^-6)
= 0.000084 - 7.9(1/000000)

= 0.000084 - 0.000008

= 0.000076

We an measure by some standard sale like our hands or foots or pinkie fingers or heigth etc.

Your foot: With this one it helps to know your European shoe size: 35 = 9′, 40 = 10″ and 45 = 11″. This is more accurate but more time consuming than using your stride to measure a space, as you must walk toe to the heel of your next foot.

Your height: We have compelled a perfectly 6-foot-tall person to lay on the floor to get a room dimension before, but it’s not necessary to go to that trouble. The distance between your fingertips with your arms stretched to the sides is roughly the same as your height.

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It is found that Linear Equation: P = 0.008T + 0.13 and Price of stamp in 2015 = $0.45

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.

From 1975 to 2005, 30 years, the price increased from 0.13 to 0.37.

This means the rate of change (slope) = 0.24/30 = 0.008

This means Price changed (increased) by $0.008 per year.

Slope = 0.008

The y-intercept (P) is at the starting point which is at T = 1975; the price was 0.13. Hence y-intercept is 0.13

The equation of a line is given as;

P = mT + b

Where m is the slope and b is the y-intercept.

Now, we can write the linear model equation as;

P = 0.008T + 0.13

Then to find the price of stamp in 2015, we see that this is 40 years later after 1975. So we plug in 40 into T in the equation found above;

P = 0.008(40) + 0.13

P = $0.45

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Answer:

See the picture below.

Step-by-step explanation:

Answer:

[tex]\sqrt{-63}=3i\sqrt{7}[/tex]

[tex]\sqrt{-156}=2i\sqrt{39}[/tex]

[tex]6\sqrt{-12}=12i\sqrt{3}[/tex]

[tex]-5\sqrt{-75}=-25i\sqrt{3}[/tex]

Step-by-step explanation:

An imaginary number is a non-zero real number multiplied by the imaginary unit [tex]i[/tex].

[tex]\boxed{\begin{minipage}{4 cm}\begin{center}\underline{Imaginary Number Rule}\end{center}\\\begin{center}$\sqrt{-1}=i$\end{center}\end{minipage}}[/tex]

[tex]\boxed{\begin{minipage}{4 cm}\begin{center}\underline{Radical Rule}\end{center}\\\begin{center}$\sqrt{a \cdot b}=\sqrt{a} \sqrt{b}$\end{center}\end{minipage}}[/tex]

[tex]\begin{aligned}\sqrt{-63} & = \sqrt{9 \cdot -1 \cdot 7}\\& = \sqrt{9}\sqrt{-1}\sqrt{7}\\& = 3i\sqrt{7}\end{aligned}[/tex]

[tex]\begin{aligned}\sqrt{-156} & = \sqrt{4 \cdot -1 \cdot -39}\\& = \sqrt{4} \sqrt{-1} \sqrt{39}\\& = 2i\sqrt{39}\end{aligned}[/tex]

[tex]\begin{aligned}6 \sqrt{-12} & = 6 \sqrt{4 \cdot -1 \cdot -3} \\& = 6 \sqrt{4} \sqrt{-1} \sqrt{3} \\& = 6 \cdot 2 i \sqrt{3} \\& = 12i \sqrt{3}\end{aligned}[/tex]

[tex]\begin{aligned}-5 \sqrt{-75} & = -5 \sqrt{25 \cdot -1 \cdot -3} \\& = -5 \sqrt{25} \sqrt{ -1 } \sqrt{3} \\& = -5 \cdot 5i \sqrt{3} \\& = -25i \sqrt{3}\end{aligned}[/tex]

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Harper will receive £1800 as his own share of the total money

Nylah and harper both share £2700

let x represent Nylah share

let 2x represent harper share

x + 2x= 2700

3x= 2700

divide both sides by the coefficient of x which is 3

3x/3= 2700/3

x= 900

Since harper share is 2x, let's substitute 900 for x

2(900)

= 1800

Hence harper share is £1800

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The rate of change of elevation is 0.32.

An easy-to-remember equation for finding change in elevation as a decimal is “rise over run,” meaning the rise (the change in vertical distance) divided by the run (the change in horizontal distance).

So the problem wants to ask to calculate the rate of change of the elevation if x=2 in the function f(x) = 0.32x. So base on that, the rate of change of elevations can be get through the formula of slope intercept form and the answer would would 0.32 is the rate of change in disregard of the value of x.

Hence, The rate of change of elevation is 0.32.

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the answer

155

324

5/9 (87/3(1/12)= 155/324

Answer : C] 4√6

Thank you !

Measure of angle 1 is 50° and that of angle 2 is 130°

The sum of all the angles on a straight line is equal to 180°.

Here, we are given two angles ∠1 and ∠2

Also, we are given that

m∠1 = (x+24)°

and m∠2 = 5x°

As we can see from the given figure, ∠1 and ∠2 lie on a straight line

⇒ m∠1 + m∠2 = 180

⇒ (x+24) + 5x = 180

x + 24 + 5x = 180

x + 5x + 24 = 180

6x + 24 = 180

6x = 180 - 24

6x = 156

x = 156/ 6

x = 26

Therefore,

m∠1 = 26 + 24

= 50

and m∠2 = 5(26)

= 130

Thus, the measure of the two angles is 50° and 130°

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Your question was incomplete. Check for the missing figure below.

The approximation for the square root of 15 is given as follows:

To approximate the square root of a number x by perfect square approximation, we have to find two numbers:

Then, the square root of x will be on a compound interval between a and b.

For this problem, we have that:

Hence, the approximation for the square root of 15 is given as follows:

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Answer is x ≤ - 4

According to the question ,

- 3 ≥ x + 1

rearrange the equation

x + 1 ≤ - 3

x ≤ - 4  {solution of inequality}

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign

While graphing inequalities, we have to keep the following things in mind.

For graphing inequalities with two variables, you will have to plot the "equals" line and then, shade the appropriate area. There are three steps:

Write the equation such as "y" is on the left and everything else on the right.

Plot the "y=" line (draw a solid line for y≤ or y≥, and a dashed line for y< or y>)

Shade the region above the line for a "greater than" (y> or y≥) or below the line for a "less than" (y< or y≤).

If the endpoint is included (i.e., in case of ≤ or ≥) use a closed circle.

If the endpoint is NOT included (i.e., in case of < or >), use an open circle.

Use open circle at either ∞ or -∞.

Draw a line from the endpoint that extends to the right side if the variable is greater than the number.

Draw a line from the endpoint that extends to the left side if the variable is lesser than the number.

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Answer:

23716 cubic feet

Step-by-step explanation:

7^2=49

11^2=121

2^2=4

49x121=5929

2929x4=23716

Answer:

D. (2z-1)

Step-by-step explanation:

If you solve 6x^2-3z-2+4z you should get (2z-1)(3z+2). Which automatically gives you a factor of 2z-1.

Answer:

16

Step-by-step explanation:

-lukelaws hope i helped if i did please make me brainliest and if i got it wrong i am so sorry

The five number summary for

(a) 0,2,2,4,5,5,5,5,7,11 is minimum=0  , median=5 ,maximum=11 ,Q₁=2 ,Q₃=5  .

(b) 2,2,4,5,5,5,5,7,11 is minimum=2 ,median=5 ,maximum=11 ,Q₁=3 ,Q₃=6 .

Median is defined as the center value of the data.

Part(a)

In the given question

the data is 0, 2, 2, 4, 5, 5, 5, 5, 7, 11

(i)the minimum of the data is 0

(ii) maximum of the data is 11.

(iii) median of the data is 5.

(iv)Q₁ = median of the lower half 0,2,2,4,5 is 2.

(v)Q₃ = median of the upper half 5,5,5,7,11 is 5.

Part (b)

after removing minimum 0 the data becomes 2,2,4,5,5,5,5,7,11

(i)the minimum of the data is 2

(ii) maximum of the data is 11.

(iii) median of the data is 5.

(iv)Q₁ = median of the lower half 2,2,4,5 is 3.

(v)Q₃ = median of the upper half 5,5,7,11 is 6.

Therefore , the five number summary for

(a) 0,2,2,4,5,5,5,5,7,11 is minimum=0 ,median=5 ,maximum=11 ,Q₁=2  ,Q₃=5  .

(b) 2,2,4,5,5,5,5,7,11 is minimum=2 ,median=5 ,maximum=11 ,Q₁=3 ,Q₃=6 .

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Answer:

0.18

Step-by-step explanation:

Given: 60% students were in high school, 40% were in middle school and of the high school students, 30% had visited a foreign country

To find: probability that the student is in high school and has visited a foreign country

Solution:

Let x denotes total number of students

Number of students in high school = 60% of x =

Number of students in middle school = 40% of x =

Number of students who are in high school and have visited foreign country =  30% of Number of students in high school =

Probability that the student is in high school and has visited a foreign country = Number of students who are in high school and have visited foreign country/ Total number of students =

Answer:

Step-by-step explanation:

160% Was surveyed!

40% of 400