help me solve math please

Answer:

$60.79

Step-by-step explanation:

First take off the 30% from $78.95. That will leave you with $55.265.

Add 6% of $78.95 for sales tax (4.737) to the $55,265 = $60.002

Then add the 1% of $78.95 for local option tax (.7895) to the $60.002.

That gives you $60.7915   - round it to the nearest cent and it gives you

$60.79

Answer: $60.7915

Step-by-step explanation:

think of percents as a portion of something

if Dave has to pay 6% tax on something + 1% tax he will pay 7% tax.

This means he will pay 7% of 78.95.

In multiplication 'of' means multiply.

just use this as a rule so 7% × 78.95 will be the amount of tax he has to pay

0.07 × 78.95 = $5.5265

However, he has a 30% off coupon

so,

30% × 78.95 will give the amount he saves

.3 × 78.95 = $23.685 saved

now lets find the actual amount he saves with his coupon after taxes:

$23.685 - $5.5265 = $18.1585 saved

we can subtract this amount by the price and we will have the amount Dave has to pay for the jeans:

$78.95 - $18.1585 = $60.7915

⇒ $60.7915 is the price Dave pays

rounding we get $60 and 79 cents

Answer:

A

Step-by-step explanation:

According to the place value chart, the value of 9 in 39 is 9 ones

The given number is 39

The place value chart is the defined as the chart that used to find the value of the one digit in the number according to the position of the digit in the number

Consider the natural number, the right most digit represents the number of ones in the number, next number left to that number represents the number of tens in the numbers and so on

According to the place value chart

The given number is 39

9 is the right most digit of the number 39. That position represents the numbers ones in the number

Therefore, the value of 9 in 39 is 9 ones

Learn more about place value chart here

brainly.com/question/10759386

#SPJ4

The graphs of the two functions differ in their shape and steepness.

A quadratic function is a function that can be expressed in the form:

f(x) = ax² + bx + c

where a, b, and c are constants and x is the independent variable. This is a second-degree polynomial function, meaning that the highest exponent of the variable x is 2.

The cost of installing artificial turf on a square plot with a side length of x feet is given by:

C(x) = 15x²

This is a quadratic function, where the coefficient of x² is 15, and represents the cost per square foot of the artificial turf installation.

The cost of installing sod on the same plot is given by:

C(x) = 0.15x²

This is also a quadratic function, where the coefficient of x² is 0.15, and represents the cost per square foot of the sod installation.

The graphs of the two functions differ in their shape and steepness. The graph(red) of the artificial turf function is a parabola that opens upwards, meaning that as the side length of the square plot increases, the cost of the installation increases at an increasing rate.

The graph(blue) of the sod function is also a parabola that opens upwards, but it is much flatter than the artificial turf function, meaning that the cost of the installation increases at a slower rate as the side length of the square plot increases.

At some point, the two graphs may intersect, representing the point at which the cost of installing sod becomes greater than the cost of installing artificial turf for a square plot of that size.

Hence, The graphs of the two functions differ in their shape and steepness.

To learn more about the quadratic function visit:

brainly.com/question/28038123

#SPJ1

Answer:

13.5 litres

Step-by-step explanation:

the ratios are 2 : 3 : 4 = 2x : 3x : 4x ( x is a multiplier )

given Henrietta produced 1.5 litres more than Gladys , then

4x = 3x + 1.5 ( subtract 3x from both sides )

x = 1.5

then total milk produced by the 3 cows is

total = 2x + 3x + 4x = 9x = 9 × 1.5 = 13.5 litres

Answer:

Follows are the solution to this question:

Step-by-step explanation:

In this question, some of the data is missing, that's why this question  can be defined as follows:

It Includes an objective feature coefficient, its sensitivity ratio is the ratio for values on which the current ideal approach will remain optimal.

When there is Just one perfect solution(optimal solution) then the equation is:

\(Max \ Z = \$ 5x_1 + \$10x_2\\\\Subject\ to: \\\\8x_1 + 5x_2 \leq 80\\\\2x_1 + 1x_2 \leq 100\\\\x1, x2 \geq 0\)

When there are Several perfect solutions then the equation is:

\(Max \ Z = \$ \ 200x_1 + \$ \ 100x_2\\\\ Subject \ to:\\\\8x_1 + 5x_2 \leq 80\\\\2x_1 + 1x_2 \leq 100\\\\x1, x2 \geq 0\)

When there is also no solution, since it is unlikely then the equation is:

\(Max \ Z = \$40x_1 + \$10x_2 \\\\Subject \ to:\\\\8x_1 + 5x_2 \leq 80\\\\2x_1 + 1x_2 \geq 100\\\\x_1, x_2 \geq 0\)

When there is no best solution since it is unbounded then the equation is:

\(Max \ Z = \$ 30x_1 + \$15x_2 \\\\Subject to:\\\\8x_1 + 5x_2 \geq 80\\\\2x_1 + 1x_2 \geq 100\\\\x_1, x_2 \geq 0\\\)

The exponential equation that models the growth is P(t) = P0 * e^(rt), the predicted population for 2050 is 10.6 billion and the population will reach its limit in 2034.

a) The equation to model population growth is given by:

P(t) = P0 * e^(rt)

Where P(t) is the population at time t, P0 is the initial population, r is the growth rate, and e is the mathematical constant e ≈ 2.71828.

Substituting the given values, we get:

P(t) = 7.7 * e^(0.01t)

b) To find the predicted population for 2050, we need to substitute t = 32 (2050 - 2018) in the equation we obtained in part (a):

P(32) = 7.7 * e^(0.01*32) ≈ 10.6 billion people

Therefore, the predicted population for 2050 is about 10.6 billion people.

c) To find when we will no longer have enough natural resources to support the growing population, we need to solve the following equation:

P(t) = 9

where P(t) is the population at time t. Substituting P(t) with the equation we obtained in part (a), we get:

7.7 * e^(0.01t) = 9

Dividing both sides by 7.7, we get:

e^(0.01t) = 1.1688

Taking the natural logarithm of both sides, we get:

0.01t = ln(1.1688)

Solving for t, we get:

t ≈ 16

Therefore, we will no longer have enough natural resources to support the growing population in about 16 years from 2018, which is 2034.

Learn more on exponential function here;

https://brainly.com/question/2456547

#SPJ1

Answer: False

Step-by-step explanation:

25% of the data is between Q1 and the median.

Answer:

$15000 was invested in CDs, $50000 was invested in bonds, and $30000 was invested in stocks.

Step-by-step explanation:

Let x be the amount invested in CDs. Then, the amount invested in bonds is x + 35000. The remaining amount invested in stocks is 95000 - (x + x + 35000) = 25000 - x.

The annual income from CDs is 0.0475x dollars. The annual income from bonds is 0.042(x + 35000) dollars. The annual income from stocks is 0.112(25000 - x) dollars.

The total annual income from all three investments is $6845: 0.0475x + 0.042(x + 35000) + 0.112(25000 - x) = 6845

Solving for x gives: x = $15000

Therefore, $15000 was invested in CDs, $50000 was invested in bonds, and $30000 was invested in stocks.

Answer:

Ext angle = 93°

Step-by-step explanation:

The angle marked 4x + 9 is the exterior angle. The other two marked angles are interior angles. They are, moreover, "remote interior angles" because they are away from the exterior angle.

So here's how to set up an equation:

the two remote interior angles added together equal the exterior angle.

2x + 3x - 12 = 4x + 9

Combine like terms.

5x - 12 = 4x + 9

Subtract 4x

x - 12 = 9

Add 12

x = 21

The exterior angle is:

4x + 9

= 4(21) + 9

= 84 + 9

= 93

Answer Key:

1. Since the question says Mr. Smith runs 2.7 miles every day of the week, you will need to multiply it with 365, the days of the year. The total answer you would get D. 985.5 miles.

| I just want to help you with #2 anyway