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3 years ago

Determine which situation(s) best describes operations with the numbers 4.58 and -0.145. Select all situations that apply.

1 answer:

7 0

The product and the quotient of the decimal numbers are both negative
(because when multiplying/dividing, and ur signs are different, then ur answer will be negative)

The sum of the decimal numbers is positive
(because when adding, if the signs are different, u subtract and take the sign of the larger number)

The difference of the decimals is positive
(because ur subtracting a negative...4.58 - (- 0.145) = 4.58 + 0.145...and that equals a positive)

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Kylie can afford a $1310-per-month house loan payment. If she is being

Lesechka [4]

Answer:

The amount which she borrow as house loan is $ 48514.56

Step-by-step explanation:

Given as :

The house loan per month afford by Kylie = $1310

The period of loan = 25 Years

The annual rate compounded monthly = 8.4%

Principal = $ P

∵ The per month loan afford amount = $1310

So, The amount afford in 25 years = $1310 × 25 × 12

Or, The amount afford in 25 years = $393,000

Now, from compounded method :

Amount = Principal × $(1+\frac{Rate}{12\times 100})^{12\times Time}$

Or, $393,000 = $ P × $(1+\frac{8.4}{12\times 100})^{12\times 25}$

Or, $393,000 = $ P × $(1.007)^{300}$

Or, $393,000 = $ P × $\frac{393,000}{8.10066}$

∴ P = $ 48514.56

Hence The amount which she borrow as house loan is $ 48514.56 Answer

8 0

3 years ago

What is 9/12 in simplest form

sergiy2304 [10]

3/4…
To simplify a fraction, you have to find a similar factor between the numerator and denominator. In this case, it would be 4.
You would divide both numbers by this common factor and create a new fraction.
So… 9/3=3, and 12/3=4. When combined, the answer becomes 3/4.

7 0

3 years ago

EXAMPLE 5 If F(x, y, z) = 4y2i + (8xy + 4e4z)j + 16ye4zk, find a function f such that ∇f = F. SOLUTION If there is such a functi

Valentin [98]

If there is such a scalar function f, then

$\dfrac{\partial f}{\partial x}=4y^2$

$\dfrac{\partial f}{\partial y}=8xy+4e^{4z}$

$\dfrac{\partial f}{\partial z}=16ye^{4z}$

Integrate both sides of the first equation with respect to x :

$f(x,y,z)=4xy^2+g(y,z)$

Differentiate both sides with respect to y :

$\dfrac{\partial f}{\partial y}=8xy+4e^{4z}=8xy+\dfrac{\partial g}{\partial y}$

$\implies\dfrac{\partial g}{\partial y}=4e^{4z}$

Integrate both sides with respect to y :

$g(y,z)=4ye^{4z}+h(z)$

Plug this into the equation above with f , then differentiate both sides with respect to z :

$f(x,y,z)=4xy^2+4ye^{4z}+h(z)$

$\dfrac{\partial f}{\partial z}=16ye^{4z}=16ye^{4z}+\dfrac{\mathrm dh}{\mathrm dz}$

$\implies\dfrac{\mathrm dh}{\mathrm dz}=0$

Integrate both sides with respect to z :

$h(z)=C$

So we end up with

$\boxed{f(x,y,z)=4xy^2+4ye^{4z}+C}$

7 0

3 years ago

NEED HELP SOON!!!! for any numbers a, b, and c, a(b + c)=ab+ac

navik [9.2K]

The property displayed here is the distributive property.

If you have a variable or unknown number inside or outside of parentheses, you can distribute it to each term and add the terms together, and it will remain true.

Example:

4(x + 5)

After distributing, it'll look like this:

4x + 20

6 0

3 years ago

A snack tray at a party has cheese squares with 2 grams of protein apiece and turkey slices with 3 grams of protein apiece. whic

Dafna11 [192]

The inequality that represents the possible ways nina can eat 12 or more grams of protein is 2x + 3y ≥ 12

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more number and variables.

Let x be the number of cheese squares that she eats and y is the number of turkey slices that she eats. If nina can eat 12 or more grams of protein, hence:

2x + 3y ≥ 12

The inequality that represents the possible ways nina can eat 12 or more grams of protein is 2x + 3y ≥ 12

Find out more on equation at: brainly.com/question/2972832

#SPJ4

6 0

2 years ago