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2 years ago

10

The variable x varies jointly with y and z. Use x=2, y=4, z=1 to write an equation relating x, y

1 answer:

kolbaska11 [484]2 years ago

6 0

Answer:

Equation is $x=\frac{1}{2}yz$ and when y=2 and z=4, x will be 4.

Step-by-step explanation:

Given:

x varies jointly with y and z.

It also means x is directly proportional to y and z.

$x=2, y =4,z=1$

From above values we can compute the equation as.

$x=\frac{1}{2}yz\\2= \frac{1}{2} \times 4 \times 1\\2=2$

Hence the Equation is $x=\frac{1}{2}yz$

Now y=2 and z=4 we get.

$x=\frac{1}{2}\times 2 \times 4= 4$

Hence when y=2 and z=4, x will be 4.

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11. Mr Lee bought a second hand car for

Marrrta [24]

Answer :

Depends on the rate compound interest is accrued. See answers.

Step-by-step explanation:

We need the compound interest formula which is:

$A = P (1+\frac{r}{n} )^{nt}$

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

It doesn't say how frequently the interest is compounded, so we will do monthly, quarterly, and yearly.

MONTHLY

So we know the car costs $25,480 and he made a down payment of $10,000. By subtracting the down payment from the purchase price we find the loan amount.

$25,480 - $10,000 = $15,480

P = 15,480

r = 4.75% = .0475

n = 12 (12 months in a year)

t = 2

Plug everything into the compound interest formula.

$A = P (1+\frac{r}{n} )^{nt}$

$A = 15480(1+\frac{.0475}{12})^{12*2}$

$A = 15480(1+\frac{.0475}{12})^{24}$

$A = 15480(1+.00396)^{24}$

$A = 15480(1.00396)^{24}$

$A = 15480*1.0992$

$A = $17016.14$

Mr. Lee paid $17,016.14 when the bill came due at 2 years with interest compounded monthly.

QUARTERLY

P = 15,480

r = 4.75% = .0475

n = 4 (4 quarters in a year)

t = 2

$A = P (1+\frac{r}{n} )^{nt}$

$A = 15480(1+\frac{.0475}{4})^{4*2}$

$A = 15480(1+\frac{.0475}{4})^{8}$

$A = 15480(1+.0119})^{8}$

$A = 15480(1.0119)^{8}$

$A = 15480*1.099$

$A = 15480(1.099)$

$A = 17013.20$

Mr. Lee paid $17,013.20 when the bill came due at 2 years with interest compounded quarterly.

YEARLY

P = 15,480

r = 4.75% = .0475

n = 1

t = 2

$A = P (1+\frac{r}{n} )^{nt}$

$A = 15480(1+\frac{.0475}{1})^{1*2}$

$A = 15480(1+\frac{.0475}{12})^{2}$

$A = 15480(1+.0475})^{2}$

$A = 15480(1.0475)^{2}$

$A = 15480*1.0973$

$A = 16985.53$

Mr. Lee paid $16,985.53 when the bill came due at 2 years with interest compounded yearly.

4 0

3 years ago

11) Specific resistance is also called ? and is abbreviated with the capital letter K or the Greek letter ρ (rho).

Nuetrik [128]

Answer:

Resistivity

Step-by-step explanation:

Resistivity : It is a fundamental property of a material that measures how strongly a particular material opposes the flow of electric current. It is also known as specific resistance.

A low resistivity indicates a material that easily allows the flow of electric current.

Resistivity is commonly represented by the Greek letter ρ (rho) or abbreviated with a a capital letter K. The SI unit of electrical resistivity is the ohm-metre (Ω⋅m).

Hence, the correct answer for the blank is Resistivity.

8 0

3 years ago

Line q has a slope of 5/3. Line r is parallel to line q. What is the slope if line r?

seropon [69]

Answer:

The slope remains a constant $m=\frac{5}{3}$ as it is parallel.

Explanation:

1. Line Q is defined as a slope of $\frac{5}{3}$ ; i.e. $y=\frac{5}{3}$

2. Line R is defined to be parallel of Line Q.

3. Line Q is linear and has no domain restrictions.

The definition of being parallel requires the same slope.

5 0

2 years ago

In the figure, m ║ n and p is a transversal. Which of the following are alternate interior angles?

Lyrx [107]

The answer is c. Because there inside and opposite

8 0

2 years ago

Gala2k [10]

Answer:

(- 2, 4 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) , then the midpoint is

( $\frac{x_{1}+x_{2} }{2}$ , $\frac{y_{1}+y_{2} }{2}$ )

Here (x₁, y₁ ) = A (4, 6 ) and (x₂, y₂ ) = B (- 8, 2 )

midpoint = ( $\frac{4-8}{2}$ , $\frac{6+2}{2}$ ) = ( $\frac{-4}{2}$ , $\frac{8}{2}$ ) = (- 2, 4 )

6 0

2 years ago

Read 2 more answers