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Answer:

B. The distance from the retailer decreases with time, D. The distributor is 73.6 miles away from the retailer, E. The truck is traveling at a rate of 67.8 miles per hour.

Answers: B, D, E.    

Step-by-step explanation:

Answer:

The amount invested in the account paid 4% is $1150

The amount invested in the account paid 6% is $600

Step-by-step explanation:

The rule of the simple interest is I = Prt, where

∵ Helene invested a total of $1,750 in two simple-interest bank accounts

∴ P1 + P2 = 1750 ⇒ (1)

∵ One account paid 4% annual interest

∴ r1 = 4% = 4/100 = 0.04

∵ The other paid 6% annual interest

∴ r2 = 6% = 6/100 = 0.06

∵ The total amount of interest she earned after 1 year was $82

∴ I1 + I2 = 82 ⇒ (2)

∵ t = 1

∵ I1 = P1 × (0.04) × 1

∴ I1 = 0.04 P1

∵ I2 = P2 × (0.06) × 1

∴ I2 = 0.06 P2

→ Substitute them in equation (2)

∴ 0.04 P1 + 0.06 P2 = 82 ⇒ (3)

Now we have a system of equations to solve it

→ Multiply equation (1) by -0.06 to make the coefficients of y equal in

   values and different in signs to eliminate it

∵ -0.06(P1) + -0.06(P2) = -0.06(1750)

∴ -0.06 P1 + -0.06 P2 = -105 ⇒ (4)

→ Add equations (3) and (4)

∵ (0.04 P1 + -0.06 P2) + (0.06 P2 + -0.06 P2) = (82 + -105)

∴ -0.02 P1 + 0 P2 = -23

∴ -0.02 P1 = -23

→ Divide both sides by -0.02

∴ P1 = 1150

→ Substitute the value of P1 in equation (1) to find P2

∵ 1150 + P2 = 1750

→ Subtract both sides by 1150 to find P2

∴ P2 = 600

∴ The amount invested in the account paid 4% is $1150

∴ The amount invested in the account paid 6% is $600

Answer:

rotation

Step-by-step explanation:

Answer: $22.50

Step-by-step explanation:

25% of 30 = 7.5

30 - 7.5 = 22.50

Answer:

$22.50

Step-by-step explanation:

$30.00 x %25 or .25 = $7.50

$30.00 - $7.50 = $22.50

Answer:

2,1

Step-by-step explanation:

Answer:

16.0%

16.0%

Step-by-step explanation:

Given that :

First $20,000 is exempt from tax

$20000 to $50000 = 12% tax rate

Over $50000 = 16% tax rate

Earning = $90000

Since earning is greater than $50000

Tax rate = 16% = 0.16

Average tax rate = tax paid / taxable income

Tax paid = 0.16 * 90,000 = $14,400

Average tax rate = 14,400 / 90,000

Average tax rate = 0.16 = 16%

Marginal tax rate :

Change in tax paid / change in earning

Suppose ; amount earned increases to 95,000

Tax paid = 95000 * 0.16 = 15200

Change in tax paid = (15200 - 14400) = 800

Change in earning = 95000 - 90000 = 5000

= 800 / 5000

= 0.16 = 16%

Marginal tax rate = 16%

Answer:

The y-intercept is where the line crosses the y-axis, and the x-axis is where the line crosses the x-axis. For example, the y-intercept for Line A is 2 because it crosses the y-axis at (0,2) on the coordinate plane.

Step-by-step explanation:

Answer: y= 12 and x= is a value

Step-by-step explanation:

x=2+7=x

y= 7+5=y which is 12

Answer:

The answer is 38%.

Answer:

B) 2828.427g

Step-by-step explanation:

Hope this helps!

Answer:

Simplifying

(5n + -3) + -1(-2n + 7) = 0

Reorder the terms:

(-3 + 5n) + -1(-2n + 7) = 0

Remove parenthesis around (-3 + 5n)

-3 + 5n + -1(-2n + 7) = 0

Reorder the terms:

-3 + 5n + -1(7 + -2n) = 0

-3 + 5n + (7 * -1 + -2n * -1) = 0

-3 + 5n + (-7 + 2n) = 0

Reorder the terms:

-3 + -7 + 5n + 2n = 0

Combine like terms: -3 + -7 = -10

-10 + 5n + 2n = 0

Combine like terms: 5n + 2n = 7n

-10 + 7n = 0

Solving

-10 + 7n = 0

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '10' to each side of the equation.

-10 + 10 + 7n = 0 + 10

Combine like terms: -10 + 10 = 0

0 + 7n = 0 + 10

7n = 0 + 10

Combine like terms: 0 + 10 = 10

7n = 10

Divide each side by '7'.

n = 1.428571429

Simplifying

n = 1.428571429

Answer:

79-10

Step-by-step explanation:

Brainliest please.

Answer:

25

Step-by-step explanation:

I'm not really good at math but I think 25 is the answe

Answer:

SAS

Step-by-step explanation:

You have two pairs of congruent sides that are congruent.

The included angles are vertical angles, so they are congruent.

That means you have two sides and the included angle in each triangle.

Answer: SAS

Answer:

False

-As the size of the sample increases, the mean of the distribution of sample doesn't change.

Step-by-step explanation:

From central limit theorem, as the size of a sample size increases, the sample mean and sample standard deviation will be far much more closer in value to the population mean(μ) and standard deviation(σ).

Thus, as the size of the sample increases, there will be no changes to the mean of the distribution of the sample mean.

Answer:

210

Step-by-step explanation:

If each floor was 14 ft, and they want 15 floors, you would do 14 x 15, which equals 210

Answer:

Step-by-step explanation:

The quotient id the output of the value when 29 is divided by 118.29

On dividing;

118.6/29 = 4 + {26/29}

4 + {26/29} = 4 + 0.08966

4 + 0.8966 = 4.08966

Hence the best estimate will be the estimate of the value to the nearest one decimal place and that is 4.1.

Answer:

-2.5

Step-by-step explanation:

srry if I'm wrong...........

The expression t(–1.2w + 3) can be expanded as -1.2wt + 3t.

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). Expressions are made up of terms.

Given expression,

t (-1.2w + 3)

Using distributive property

-1.2wt + 3t

Hence, -1.2wt + 3t is the expanded form of the expression t(–1.2w + 3).

Learn more about expressions here:

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Answer:

positive

Step-by-step explanation:

-8+20 will have a positive sum because the positive number 20 is greater than the negative number 8

Answer:

Positive

Step-by-step explanation:

Without adding you can tell wether a number is positive or negative with addition because it is basically a number line. Think of subtracting -8 from 0 which would give you -8. Now add 20 to it causing it to get out of the negatives and become positive.

Answer:

4

Step-by-step explanation:

Answer:

The answer is 4

Step-by-step explanation:

please give me brianliest

Answer:

Sorry im not good at math

Answer:

The volume of the cylinder is 4071.5

May I have brainliest please? :)

Answer:

2 over 5

Step-by-step explanation:

Common ratio =

7/ (35/2) = (14/2) / 7

Our answer became 2/5

Nech sa páči dúfam že pomôže

Answer:

75 mph

Step-by-step explanation:

The speed of Raymond from San Antonio to Dallas is given by S = 75 mph

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude

Speed = Distance / Time

Given data ,

Let the speed of Raymond from San Antonio to Dallas be S

Let the distance between San Antonio to Dallas be represented as D

Now , the value of D = 390 miles

Let the time taken for Raymond to travel D miles be T = 5.2 hours

Now , the speed is = Distance / Time

On simplifying , we get

The speed of Raymond from San Antonio to Dallas S = D / T

The speed of Raymond from San Antonio to Dallas S = 390 / 5.2

The speed of Raymond from San Antonio to Dallas S = 75 mph

Hence , the speed is 75 miles per hour

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Answer:

The slope is 9/4.

Step-by-step explanation:

In the equation y=mx+b, the slope is m. In you're case, the m=9/4.

Answer:

Yes Mike passed the test.

Step-by-step explanation:

31/50 is equal to 62% which is higher than the needed mark to pass.

Answer:

Yes

Step-by-step explanation:

Change denominator to 100 by multiply both denominator and numerator by 2, so 31*2= 62, so he passed the test.

Answer:

that seems hard

Step-by-step explanation:

i cant see the pic tho

Answer:

74

Step-by-step explanation:

Answer: C. Increase the sample size

Step-by-step explanation: The confidence interval is a interval estimate of two numbers. From the question, the width confidence interval

Can be modified into a more narrow margin by reducing the standard error. The standard error is the value obtained from the division of standard deviation and the square root of sample size. Hence, a decrease in the standard error will give a more narrow confidence interval estimate. The standard error can be reduced by increasing the denominator of the standard error formula which is the sample size.