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3 years ago

Find the constant of variation for the relationship shown in the following table: x 1 2 3 4 y 3 6 9 12

Mathematics

2 answers:

stepan [7]3 years ago

7 0

Answer:

y=3x ( the'=' sign is the proportionality sign)

Step-by-step explanation:

x = 1 , 2 , 3 , 4

y = 3 , 6 , 9 , 12

You are multiplying by 3 to get to y

1 x 3 = 3

2 x 3 = 6

3 x 3 = 9

4 x 3 = 12

nasty-shy [4]3 years ago

7 0

well the table would look like this

x y

1 3

2 6

3 9

4 12

and the direct variation is y=3x but the constant of variation is k=3

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Jimmy invests $2500 in an account with a 5% interest rate, making no other deposits or withdrawals. What will Jimmy’s account ba

Alik [6]

Answer:

We conclude that the total amount accrued, principal plus interest, from compound interest on an original principal of $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.

Step-by-step explanation:

Given

Principle P = $2500

Interest rate r = 5% = 0.05

Time period t = 8 years

To determine

Accrue Amount A = ?

Using the compound interest equation

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

where:

A represents the Accrue Amount

P represents the Principal Amount

r represents the interest rate

t represents the time period in years

n represents the number of compounding periods per unit t

Important tip:

Given that the interest is compounded 6 times each year, therefore, the value of n = 6.

now substituting P = 2500, r = 0.05, t = 8 and n = 6 in the equation

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

$A=2500\left(1+\frac{0.05}{6}\right)^{\left(6\right)\left(8\right)}$

$\:A=2500\left(1+\frac{0.05}{6}\right)^{48}$

$A=2500\times 1.48935$ ∵ $\left(1+\frac{0.05}{6}\right)^{48\:\:}=1.48935$

$A=\:3723.38$ $

Therefore, we conclude that the total amount accrued, principal plus interest, from compound interest on an original principal of $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.

8 0

3 years ago

What is the slope of a line that is perpendicular to a line whose equation is 3y=−4x+2 ?

vova2212 [387]

we know that

if two lines are perpendicular, then the product of their slopes is equal to minus one

$m1*m2=-1$