Zhang invests $2600 in two different accounts. The first account paid 11 %, the second account paid
5 % in interest. At the end of the first year he had earned $220 in interest. How much was in each
account?

$ At 11%
$ At 5%

Answer:

B- function 1, because it’s rate of change is 2

Step-by-step explanation:

the rate of change of function 2 can be found since it is in slope intercept form

y=mx+b and m is slope and in this case m is 1/2

1/2 is function 2 rate of change

To find function 1 rate of change we use y2-y1/x2-1

using (1,2) and (-1,-2)

-2-2/-1-1

-4/-2

2 is the slope of function 1

Function 1 has a greater rate of change so  B is correct

Hopes this helps please mark brainliest

Answer:

No. A non-uniform probability is where each outcome does not have the same chance of happening; this is not true of a fair 6-sided die, of which each side has an equal 1/6 probability of being rolled.

[tex]\Large\boxed{\sf uniform\ probability}[/tex]

A unique integer value appears on each side. Rolling the die and getting any particular number has a 1/6 chance of happening. There are six outcomes, each uniformly distributed while rolling the dice. Each has an equal probability of occurring.

The unknown variable T has a value of T = 2

From the question, we have the following parameters that can be used in our computation:

Formula; I = PRT

The above formula is a simple interest formula, where

Values:

I=1920​, P=24,000​, R=0.04

Substitute I=1920​, P=24,000​, R=0.04 in the equation I = PRT

So, we have

1920 = 24000 * 0.04 * T

Evaluate the products

1920 = 960 * T

So, we have

T = 1920/960

Evaluate

T = 2

Hence, the value is 2

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Answer:

(A) 30 pages

Step-by-step explanation:

Let x = total number of pages in the book.

She read half the book in Monday. She read x/2.

She read 90 pages on Tuesday. By now she read a total of x/2 + 90.

She has 1/8 left to go. That means she read 7/8 of the book.

7/8 x = x/2 + 90

Multiply both sides by 8.

8 × 7/8 x = 8 × x/2 + 8 × 90

7x = 4x + 720

3x = 720

x = 240

The book is 240 pages long.

She has 1/8 to go.

1/8 × 240 = 30

Answer: (A) 30 pages

Given:

The current of a river is 2 miles per hour. A boat travels to a point 8 miles upstream and back in 3 hours.

Required:

What is the speed of the boat in still water?

Explanation:

A boat has to travel 8 miles against the current and 8 miles with the current.

Ustream(against the current) the boat's speed is:

speed in still water - current OR x - 2.

Downstream( with the current) the speed is:

speed in still water + current speed OR x + 2.

We know the distance

OR

The total time is 3 hours

The time upstream + The time downstream = 3 hours

1/2048 is  the probability of getting 11 heads in 11 tosses.

Probability of getting heads in one toss = 1/2

Probability of getting heads in 11 tosses = [tex](1/2)^{11[/tex]= 1/2048 (a one in 2048 chance of occurrence)

It should, therefore, NOT be surprising in a sample space of 950 (which is more than double 2048), that 11 heads can be obtained in a row.

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1/2048 is  the probability of getting 11 heads in 11 tosses.

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The dividend with a divisor of 3 that will yeild the quotient 25 with a remainder of 1 is 76.

In division of fractions, we have the divisor which is the denominator, the dividend which is the numerator and then the quotient which is the whole number as the result and sometimes the remainder when the divisor does not divide the dividend exactly.

For us to have a quotient of 25 and a remainder of 1, with the divisor as 3, then the dividend is 76.

Therefore, 76 divided by 3 is equal to 25 with a remainder of 1.

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Answer:

x = 148.76

Step-by-step explanation:

tan (37) = 81/x

x = 81/(tan (37)) = measure of "x" from after the height is 81

tan (63) = 81/x

x = 81/(tan (63)) = measurement of "x" from before the height is 81

81/(tan (63)) + 81/(tan (37)) = x

x = 148.76

Maximum of 16 months, will take Jim to save $947.

Total Cost of Computer = $947

Amount that Jim can save monthly = $60

Let time taken by Jim to save amount which is equal to cost of computer = x months

So, the equation for the above statement can be written as: 60x = 947

Dividing both sides by, 60

[tex]\frac{60x}{60} =\frac{947}{60}[/tex]

[tex]x=\frac{947}{60} =15.78[/tex]

⇒Number of months=16

Maximum of 16 months, will take Jim to save $ 957.

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Answer:

undefined

Step-by-step explanation:

division by zero is undefined

Division Property of zero

For any nonzero real number a

The quotient of "a" and 0 is undefined. That is a/0 is undefined

Answer:

4pm

10:37 + 4:45 hours +38 min makes arrival time 4pm

Answer:

its the thrid one i think i might be wrong srry

Step-by-step explanation:

Answer:

20/53

Answer number 4

Step-by-step explanation:

There are 20 brown, 16 orange, 4 navy, and 13 purple marbles. A marble is drawn at random. What is the probability the marble is brown?

Let's first add the marbles together.

20+16+4+13=53

there are 53 marbles altogether.

20 of the marbles are brown.

So the probability of drawing a brown marble is 20/53

Answer:

x8659-3358468854---6666x

Answer:

[tex]\frac{\sqrt{3} }{2}[/tex] sinx - [tex]\frac{1}{2}[/tex] cosx

Step-by-step explanation:

using the sum identity for cosine

cos(a + b) = cosacosb - sinasinb

then

cos(x + [tex]\frac{4\pi }{3}[/tex] )

= cosxcos([tex]\frac{4\pi }{3}[/tex]) - sinxsin([tex]\frac{4\pi }{3}[/tex] )

[ [tex]\frac{4\pi }{3}[/tex] is an angle in the third quadrant where sin and cosine < 0 ]

[ the related acute angle to [tex]\frac{4\pi }{3}[/tex] = [tex]\frac{4\pi }{3}[/tex] - π = [tex]\frac{\pi }{3}[/tex] ]

= cosx × - cos([tex]\frac{\pi }{3}[/tex] ) - sinx × - sin([tex]\frac{\pi }{3}[/tex] )

= cosx × - [tex]\frac{1}{2}[/tex] - sinx × - [tex]\frac{\sqrt{3} }{2}[/tex]

= - [tex]\frac{1}{2}[/tex] cosx + [tex]\frac{\sqrt{3} }{2}[/tex] sinx

= [tex]\frac{\sqrt{3} }{2}[/tex] sinx - [tex]\frac{1}{2}[/tex] cosx

a) The slope is infinity.

b) We can't write the linear equation in the slope-intercept form because the slope is infinity, in this case, the line is written as x = 2.

A general linear equation is written as:

y = a*x + b

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

If the line passes through two points (x1, y1) and (x2, y2), then the slope is:

slope = (y2 - y1)/(x2 - x1)

Here we have two points (2, 1) and (2, 0), then the slope is:

slope = (1 - 0)/(2 - 2) = 1/0 → ∞

So the slope is infinity, as the case for all vertical lines.

b) Why we can't write the linear equation in the traditional form?

This happens because the slope is infinity, the vertical linear equations are written as:

x = a

In this case, we can see that the line is at x = 2, so that is our linear equation.

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The equation for resistor 2, R₂ is (d) R₂ = R₁Rt/(R₁ - Rt)

From the question, we have the following parameters that can be used in our computation:

Rt = R₁R₂/(R₁ + R₂)

The question implies that we make R₂ the subject of the formula

So, we have

Rt = R₁R₂/(R₁ + R₂)

Cross multiply the equations

(R₁ + R₂)Rt = R₁R₂

Open the brackets

So, the equation becomes

R₁Rt + R₂Rt = R₁R₂

Collect the like terms

R₁R₂ - R₂Rt = R₁Rt

Factor out R₂

R₂(R₁ - Rt) = R₁Rt

Make R₂ the subject

R₂ = R₁Rt/(R₁ - Rt)

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Answer:

2, R₂ is (d) R₂ = R₁Rt/(R₁ - Rt)

Step-by-step explanation:

The perimeter of a triangle is 78 if QA=10. SQ=28, BR=15 and A is the midpoint of QR, B is the midpoint of RS, and C is the midpoint of SQ in triangle QRS.

In Euclidean geometry, any three non-collinear points define a unique triangle and, at the same time, a unique plane. In other words, the triangle is contained in just one plane, and every triangle is contained in at least one plane. There is just one plane and all triangles are enclosed in it if the entire geometry is merely the Euclidean plane; however, this is no longer true in higher-dimensional Euclidean spaces. Unless otherwise specified, this article is about triangles in Euclidean geometry, specifically the Euclidean plane.

Given,

In triangle QRS,  A is the midpoint of QR, B is the midpoint of RS, and C is the midpoint of SQ

Also given that,

QA=10

BR=15

SQ=28

QA=RA=10

BR=SB=15

Therefore, perimeter of the triangle=RQ+QS+RS

=(RA+QA)+(QS)+(RB+BS)

=(10+10)+(28)+(15+15)

=20+28+30

=78

Hence, the perimeter of a triangle=78

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The total cost to run Val’s AC costs for a summer month of 30 days will be $67.5.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Quantity of electricity used in kilowatts is;

1000 watts = 1 kilowatts

2,500 watts = 2.5 kilowatts

Given that Number of hours Val runs AC per day = 5 hours

Number of days = 30 days

Cost of electricity = $0.18 kilowatts per hour

The Cost of Val’s AC to run for a summer month of 30 days can be calculated as;

= Quantity of electricity used × Number of hours Val runs AC per day × Number of days × Cost of electricity

= 2.5 × 5 × 30 × 0.18

= $67.5

The total cost to run Val’s AC costs for a summer month of 30 days will be $67.5.

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Answer:  9.22

Step-by-step explanation:

distance in x direction:  ║-4║ + 2 = 6

distance in y direction:  5 + ║-2║ = 7

Use pythagorean theorem to find hypotenuse of triangle with legs of 6 and 7:

[tex]d^{2} = 6^{2} + 7^{2} = 85\\d = \sqrt{85} = 9.2195 = 9.22[/tex]

The solution for x in the given logarithmic equation, log₁₆x = -1/2, is x = 1/4

From the question, we are to solve the given equation for x.

The given equation is

log₁₆x = -1/2

To solve the equation, we will determine the value of x.

Solving the equation

log₁₆x = -1/2

From one of the laws of logarithm,

logₐy = n ⇒ y = aⁿ

Thus,

The equation becomes

x = 16^(-1/2)

By applying one of the laws of indices, we get

x = (√16)⁻¹

x = 4⁻¹

x = 1/4

Hence, the value of x is x =1/4

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The solution of the differentiated equation is dy/dx = -6x⁵

From the question, we have the following equations that can be used in our computation:

x = ⁶√t

y = 8 - t

To start with:

We need to make the variable t the subject of the formula in the equation x = ⁶√t

Make t the subject

So, we have

t = x⁶

Substitute t = x⁶ in the equation y = 8 - t

y = 8 - x⁶

The rule of first principle of differentiation is represented as

If y = axⁿ, then dy/dx = naxⁿ⁻¹

Using the above as a guide, we have

y = 8 - x⁶

dy/dx = 0 * 8x⁰⁻¹ - 6 * x⁶⁻¹

Evaluate the difference

So, we have

dy/dx = 0 * 8x⁻¹ - 6 * x⁵

Evaluate the products

So, we have

dy/dx = 0 - 6x⁵

Evaluate the sum

So, we have

dy/dx = -6x⁵

Hence, the equation result is dy/dx = -6x⁵

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Answer:

[tex]54[/tex]

Step-by-step explanation:

Formula for average A of two numbers m and n is:

[tex]A=\frac{m+n}{2}[/tex]

Substitute the value m=36 and n=72

[tex]A=\frac{36+72}{2}[/tex]

This is equivalent to:

[tex]A=\frac{108}{2}[/tex]

The average is:

[tex]A=54[/tex]

Answer: 10.7142857kg in each bag

Step-by-step explanation: If you divide 75 by 7 you would get 10.7142857. There fore there is about 10.7142857kg of chocolate in each bag.

The Mean measure should be used to summarize the data in all three problems.

What is the mean?

In mathematics, particularly statistics, there are several types of means. Each mean is used to summarize a specific group of data, often in order to better understand the overall value of a data set.

Generally,

For ratio and interval type of data, we use mean as the central tendency

For the ordinal type of data, we use the median as the central tendency

and For the nominal type of data mode is prefered.

Interval data:- In this type of data point lies in some interval on a scale.

Like temperature in degrees Fahrenheit, it has some range of value on the measurement scale of temperature.

Ratio Data:- It is similar to interval type of data but absolute zero is treated as the point of origin.No negative value

Example:- temperature in kelvin (0 is the origin)

Ordinal data:- It is of categorical type of data that is in the natural order and the distance between the two data is not known.

Example:- How you describe your last purchasing experiences,

1) Very Pleasant 2) Somewhat Pleasant 3) Neutral 4) Somewhat Unpleasant 5) Very Unpleasant.

Nominal data:- In this data is leveled or named without any quantitative value.

Example:- Colour of hair, gender, country, etc.

a)

In part (a) the data is ratio type.

Hence, the Mean is the best central tendency of measurement.

b)

In (b) part also ratio type of data.

Hence, the Mean is the best central tendency of measurement.

C)

In this part, data is of the Interval data.

Hence, the Mean is the best central tendency of measurement.

Therefore, the Mean measure should be used to summarize the data in all three problems.

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The conversion of 36 liters to quartz using unit fractions is 144 quarts.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split

It is important to note that 1 liter = 4 quarts. Therefore the quarts can be expressed as:

= 1/4l

Therefore the conversion of 36 liters to quarts will be:

= 36 ÷ 1/4

= 36 × 4

= 144' quartz

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The equation the given statement is y=ax.

What is equation?

  The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. Equations come in two varieties: identities and conditional . All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.

Here the weight of the steel beam is proportional to length.

let y be weight and x be length of it. Then

=> y ∝ x

=> y=ax

where a is the constant

we can find it if we have two sets of values of y and x.

Therefore the equation the given is y=ax.

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A) The slope is 3/2

B) The line in point-slope form: y = (3/2)*(x - 2) + 10

C) The line in slope-intercept form: y = (3/2)*x  + 7

A general linear equation is written as:

y = a*x + b

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

If the line passes through two points (x1, y1) and (x2, y2), then the slope is:

a = (y2 - y1)/(x2 - x1)

Here the line goes through (2, 10) and (-2, 4), then the slope is:

a = (10 - 4)/(2 + 2) = 6/4 = 3/2

b) The line in point-slope form for a point (h, k) is:

y = a*(x - h) + k

So here we get:

y = (3/2)*(x - 2) + 10

c) Expanding the above equation we will get:

y = (3/2)*x - (3/2)*2 + 10

y = (3/2)*x  + 7

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The demand is positive for t greater than 3. The correct answer is option (a).

Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.

Unlike a linear equation it can have a range of values inside an interval.

Given that,

The demand function for cell phone is given as,

C(t) = -√t^2 + 4t - 12 + 3

Which can be written in simple terms as,

C(t) = -t + 4t - 12 + 3

       = 3t - 9

For positive demand C(t) ≥ 0

=> 3t - 9 ≥ 0

=> t ≥ 3

Which is valid for option (a) only.

Hence, the demand is positive for t ≥ 3.

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Hi! The answer would be (6,3)

Have a good day!

Answer:

D

Step-by-step explanation:

y-7 = -1/2 (x-(-2)

y-7 = -1/2 (x+2)

y -7 = -1/2 x - 1

y = -1/2 x -1 +7

y = -1/2 x + 6

Answer: the estimated mean score is 78

Step-by-step explanation: I took the quick check