Solve
x + y = 100 x -y = 10
Pair of Equation

Answer:

its 70% of the speed they expected

Answer:

y=-5/6

Step-by-step explanation:

-24y=20

y=-5/6

alternate:

-0.83

It will take approximately 39.532 days for $9500 to earn $800 at an annual interest rate of 8.25%.

To find the number of days it will take for $9500 to earn $800 at an annual interest rate of 8.25%, we need to use the formula for simple interest:

Interest = Principal * Rate * Time

In this case, we are given the interest ($800), the principal ($9500), and the annual interest rate (8.25%). We need to solve for time.

Let's denote the time in years as "t". Since we're looking for the number of days, we'll convert the time to a fraction of a year by dividing by 365 (assuming a standard 365-day year).

$800 = $9500 * 0.0825 * (t / 365)

Simplifying the equation:

800 = 9500 * 0.0825 * (t / 365)

Divide both sides by (9500 * 0.0825):

800 / (9500 * 0.0825) = t / 365

Simplify the left side:

800 / (9500 * 0.0825) ≈ 0.1083

Now, solve for t by multiplying both sides by 365:

0.1083 * 365 ≈ t

t ≈ 39.532

Therefore, it will take approximately 39.532 days for $9500 to earn $800 at an annual interest rate of 8.25%.

for such more question on annual interest rate

https://brainly.com/question/29451175

#SPJ8

Option d. log2(4x) - log24 + log2x illustrates the product rule for logarithmic equations.

The product rule for logarithmic equations states that the logarithm of a product is equal to the sum of the logarithms of the individual factors.

Looking at the given options, the expression that illustrates the product rule is:

d. log2(4x) - log24 + log2x

In this expression, we have the logarithm of a product, log2(4x), which is being subtracted from the logarithm of another term, log24, and then added to the logarithm of the term x, log2x.

According to the product rule, we can rewrite this expression as the sum of the logarithms of the individual factors:

log2(4x) - log24 + log2x = log2(4x) + log2(x) - log2(4)

By applying the product rule, we can combine the logarithms and simplify further if necessary.

Therefore, option d. log2(4x) - log24 + log2x illustrates the product rule for logarithmic equations.

Know more about  Product here:

https://brainly.com/question/31815585

#SPJ11

Answer:

check Here.

Step-by-step explanation:

(a) A can be found by solving the equation curl(A) = G, which means that the curl of A in the x, y, and z directions must equal the corresponding components of G. To find A, we can use the vector identity curl(A) = del x A - del y A + del z A.

From this, we get:

del y A = 9e^y

del x A = -3x^2 ex^3

del z A = 0

So A = (f(z), g(x, y), h(x, y, z)) where f, g, h are arbitrary differentiable functions.

(b) Circulation of A around C is given by the line integral of A . ds, where C is a closed curve and ds is an infinitesimal element of C. Since we are given a specific curve 88, we need to know the parametric representation of the curve to calculate the circulation.

(c) The flux of G through S is given by the surface integral of G . dS, where dS is an infinitesimal element of the surface S. Since we are given the upper hemisphere of the unit sphere as S, we can use spherical coordinates to parametrize the surface and then use the divergence theorem to calculate the flux.

Note that the specific values of A, the circulation, and the flux are dependent on the choice of f, g, h and the representation of 88, and dS.

Answer:

Step-by-step explanation:

Work out 2/13 of £208

208 * 2/13 =

16 * 2 =

32

-----------------------

Answer:

save your money when u get it

Step-by-step explanation:

it helps

Answer: To find the value of (f - g)(2), we need to first evaluate f(2) and g(2), and then subtract g(2) from f(2).

Starting with f(x), we substitute x = 2:

f(2) = 3(2^2) + 1 = 3(4) + 1 = 12 + 1 = 13

Next, we evaluate g(x) at x = 2:

g(2) = 1 - 2 = -1

Now we can calculate (f - g)(2) by subtracting g(2) from f(2):

(f - g)(2) = f(2) - g(2) = 13 - (-1) = 14

Therefore, the value of (f - g)(2) is 14.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

15 tickets were solds right as 150 dollars were made.

Answer:

D- 10 is your slope

Step-by-step explanation:

you can see that the point it directly goes through is (15,150)

if you do rise/run to determine the slope, you would get 150(rise)/15(run)

which gives you 10!

Answer:

357 * .143 = 51.051 milliliters or

51 milliliters (rounded)

Step-by-step explanation:

Answer:

y = 3x + 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 3) ← 2 points on the line

m = \(\frac{3-0}{0-(-1)}\) = \(\frac{3}{0+1}\) = \(\frac{3}{1}\) = 3

the line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = 3x + 3 ← equation of line

Answer:

y = 3x + 3

Step-by-step explanation:

See attached image.

Answer: 7 and 1/2

Step-by-step explanation:

First convert both parts to improper fractions. 4 *2 + 1 =9 so we have 9/2 ÷ 3/5. Dividing by a fraction is the same as mtiplying by its reciprocal (swapping the top and bottom numbers) so we have 9/2 x 5/3. Multiplying fractions multiplies the top and bottom together so we get 45/6. 6 fits into 45 7 times with 3 left over so we get 7 3/6. 3 and 6 are both multiples of 3 so we can simplify by dividing both of them by 3 so we get our answer 7 and 1/2.

The value of k that makes f(x) a probability density function is k = 1/9.

To determine the value of k that makes f(x) a probability density function, we must first determine if f(x) is non-negative and if its integral from negative infinity to infinity is equal to 1.

1. Since f(x) is non-negative for 0 ≤ x ≤ 3, we only need to check if f(x) is non-negative for x < 0 and x > 3.

2. f(x) = 0 for x < 0 and x > 3. Therefore, f(x) is non-negative for all x.

3. Now, we need to check if the integral of f(x) from negative infinity to infinity is equal to 1.

4. ∫(from -∞ to ∞) f(x) dx = ∫(from 0 to 3) k(3x − x^2) dx [since f(x) = 0 for x < 0 and x > 3]

5. ∫(from 0 to 3) k(3x − x^2) dx = k ∫(from 0 to 3) (3x − x^2) dx

6. ∫(from 0 to 3) (3x − x^2) dx = [3x^2/2 - x^3/3] (from 0 to 3) = 9

7. Therefore, ∫(from -∞ to ∞) f(x) dx = k ∫(from 0 to 3) (3x − x^2) dx = 9k

8. For f(x) to be a probability density function, ∫(from -∞ to ∞) f(x) dx = 1.

9. Therefore, 9k = 1

10. Solving for k, we get k = 1/9.

Therefore, the value of k that makes f(x) a probability density function is k = 1/9.

Know more about probability density function here:

https://brainly.com/question/31039386

#SPJ11

Yes, the cost y in dollars and the amount of yogurt x are proportional the equation is y = 0.08x.

Given:

At the local dairy farm, kareem buys a 32-oz container of yogurt for $2. 56. Jonah buys a 6-oz container of yogurt for $0. 48.

y varies directly as x :

y = kx

k = constant of proportionality

y = 2.56 and x = 32

y = kx

k = y/x

= 2.56/32

k = 0.08

substitute k we get

y = 0.08x.

so x and y are directly proportional.

Therefore Yes, the cost y in dollars and the amount of yogurt x are proportional the equation is y = 0.08x.

Learn more about the equation here:

https://brainly.com/question/10413253

#SPJ4

Answer:

Jack Barlow

Step-by-step explanation:

Answer:

x=25

Step-by-step explanation:

because i divided

Answer:

16 more games

Step-by-step explanation:

4 is highest for football but basketball has 2 high scores for 8 games and 2 of those games where high points so add 8+8 and you get

                                16

Answer:

it would be the ones where there are two lines not touching

Step-by-step explanation:

Answer: 200 teddy bears are in the store.

Answer:

the answer is 200 bears

Step-by-step explanation:

Answer: 17 is a prime number.

Explanation:

17 is a prime number because it is a natural number greater than 1 that has no positive divisors other than 1 and itself. In other words, 17 can only be divided evenly by 1 and 17. It is not possible to find any other whole number that can divide into 17 without a remainder. This property is what makes 17 a prime number.

Answer:

17

Step-by-step explanation:

17 is the only # in the set that is only divisible by 1 and itself, make it prime.

On the other hand,

10 is divisible by:

1, 10

2, 5.

12 is divisible by:

1, 12

2, 6

3, 4

So only 17 is prime.

Answer:

I wish I've known, but try using Symbo-Lab or Math-Way. They help a lot.

Step-by-step explanation:

Answer:

229

Step-by-step explanation:

363 -892=229

229+363=892

The coefficient of determination (also known as the R-squared) is a measure of the proportion of the variance in the dependent variable (the y-variable) that is explained by the independent variable (the x-variable).

It is denoted by r-squared and typically takes values between 0 and 1. A value of 0 indicates that the independent variable does not explain any of the variance in the dependent variable, while a value of 1 indicates that the independent variable explains all of the variance in the dependent variable. The coefficient of determination (also known as the R-squared) is a measure of the proportion of the variance in the dependent variable (the y-variable) that is explained by the independent variable (the x-variable). A higher R-squared value indicates a stronger regression relationship between the two variables.

Learn more about variance here

https://brainly.com/question/13708253

#SPJ4

In terms of relative growth rate Exponential growth is characterized by a constant relative growth rate.

Exponential growth is the process of increasing quantity over time. Occurs when the instantaneous rate of change of a quantity over time is proportional to the quantity itself. The exponential growth model has the form

y (t) = C eᵏᵗ, where k is the rate constant.

Relative Growth Rate:Relative growth rate (RGR) is the rate of growth relative to size. That is, the rate of growth per unit time relative to the size at that point in time and y'(t)/y(t) is the relative growth rate of a function y at time t.

1/y dy/dt = 1/y d(C eᵏᵗ)/dt

= 1/y(kC eᵏᵗ)

= 1/y ( ky) ( since, y (t) = C eᵏᵗ)

= k

Therefore a constant relative growth rate.

To learn more about Exponential growth model, refer:

https://brainly.com/question/13223520

#SPJ4

Complete question:

In terms of relative growth rate, what is the defining property of exponential growth? Choose the correct answer below.

A. The relative growth rate at time t is the slope of the exponential function at time t.

B. dy dt If y represents a population, then the relative growth rate can be represented by dy/dt

C. The relative growth rate is proportional to the size of the population

D. The relative growth rate is constant.

The equation of the line is y = 5.

The equation of a line in slope intercept form as follows:

y = mx + b

where

Therefore,  the slope intercept form of the equation through: (-4,1), parallel to y = -4 can be found as follows:

Parallel lines have the same slope.

y = 0x + b

1 = -4(0) + b

b = 1 + 4

b = 5

Therefore, the equation of the line is y = 5.

learn more on equation here: https://brainly.com/question/14090755

#SPJ1

Answer:

slope = 4/11

Step-by-step explanation:

To find the slope, use delta y/ delta x

(4,6) (-7,2)

(2-6)/(-7-4)

(-4)/(-11)

slope = 4/11

Let m = slope

m = difference of y-values divided by the difference of x-values.

m = (2 - 6)/(-7 - 4)

m = -4/-11

m = 4/11

Yes, there is a relationship between advertisement expenditures and sales revenues. The fitted regression model is: Sales = 1591.28 + 3.59(Advertisement).

1. To construct a scatter plot, plot the advertisement expenditures on the x-axis and the sales revenues on the y-axis. Each data point represents one observation.
2. Use Excel to fit a linear regression line to the data by following the steps outlined in the textbook.
3. The fitted regression model is in the form of: Sales = Intercept + Slope(Advertisement). In this case, the model is Sales = 1591.28 + 3.59
4. The slope of 3.59 tells us that for every $1,000 increase in advertisement expenditures, there is an estimated increase of $3,590 in sales.
5. To determine if the slope is significant, perform a hypothesis test or check if the p-value associated with the slope coefficient is less than the chosen significance level.
6. The intercept of 1591.28 represents the estimated sales when advertisement expenditures are zero. In this case, it is not meaningful as it does not make sense for sales to occur without any advertisement expenditures.
7. The value of the regression coefficient, r, represents the correlation between advertisement expenditures and sales revenues. It ranges from -1 to +1.
8. The value of the coefficient of determination, r^2, tells us the proportion of the variability in sales that can be explained by the linear relationship with advertisement expenditures. It ranges from 0 to 1, where 1 indicates that all the variability is explained by the model.
9. To predict sales when the business spends $950,000 in advertisement, substitute this value into the fitted regression model and solve for sales. This will help determine if the model underestimates or overestimates sales.

To learn more about expenditures

https://brainly.com/question/30063968

#SPJ11

The 90% confident interval is (0.6754, 0.7496).

The formula for the confidence interval for a proportion in a population is as follows:

p ± z(α/2) * √[ (p * ( 1 - p) / n) ]

Here,

p = sample proportion

n = size of the sample

z(α/2) = critical value of the normal distribution at α/2 (significant level divided by 2).

The value of z(α/2) is obtained from the standard normal distribution tables.

For getting the Sample proportion we know the formula,

Sample proportion(p) = Favoring the incumbent / Total voters

p = 285/400

p = 0.7125

Critical value at 90% confidence interval = 1.645 (From the z-distribution table)

The Margin of Error (ME) is the range in which the true population proportion may lie. It can be calculated as follows:

ME = z * SE

(SE) = √[ p * ( 1 - p ) / n ]

SE = √ [(0.7125 * 0.2875) / 400] = 0.0226

ME = 1.645 * 0.0226

ME = 0.0371

Confidence Interval = Sample Proportion ± Margin of Error

CI = 0.7125 ± 0.0371

0.7496

CI = (0.6754, 0.7496)

Hence, the 90% confidence interval for the proportion of all voters who support the incumbent governor is(0.6754, 0.7496).

To know more about the "confidence interval": https://brainly.com/question/15712887

#SPJ11

The answer that you are looking for is b) 5(a – 2)(a – 4). In order to factor the formula, we must first locate two numbers whose sum is equal to -30 and whose product is equal to 40. Both constraints are met by the values -4 and -10, and as a result, we are able to factor the statement as 5(a – 2)(a – 4).(option b)

The following procedures can be used by us while factoring polynomials:

Find two numbers that, when added together, give you the coefficient of the middle term, and then multiply those two values by themselves to get the constant term.

Create the expression as the product of two binomials, with each binomial having one of the two numbers discovered in step 1. Write the equation as a product of two binomials.

Eliminate any factors that are frequent.

In this particular instance, the coefficient of the intermediate term is -30, while the value of the constant term is 40. When added together, the numbers -4 and -10 equal -30, and when multiplied together, they equal 40. Therefore, the expression can be factored as 5(a minus 2)(a minus 4).

Learn more about polynomials here:

https://brainly.com/question/11536910

#SPJ11

Answer:

square root 162

Step-by-step explanation:

Answer:

\(9 \sqrt{2 } \)