Ask question

Ask question

All categories

2 years ago

7

Sales tax on an item is directly proportional to the cost of the item purchased. If the tax on a $600 item is $42, what is the s

ales tax on a $930 item?

1 answer:

Dafna11 [192]2 years ago

4 0

Answer: $65.10

Step-by-step work:

1.Set the ratio
$\frac{600}{42} = \frac{930}{x}$
2.Cross-multiply
$600x = 930(42)$
$600x = 39060$
3.Divide to single out x
$600x \div 600 = 39060 \div 600$
$x = 65.10$

You might be interested in

Bob Rohrman is offering a 2016 Toyota Camry for $29,000. If you have a $5,000 down payment and are able to borrow the rest at a

vova2212 [387]

Answer:

The monthly payment will be $531.12

Step-by-step explanation:

Consider the provided information.

After paying $5,000 down payment you need to pay:

$29,000-$5,000=$24,000

APR is 2.99% or APR = 0.299%

Therefore, $r=\frac{0.0299}{12}$

n = 48

We can calculate the monthly payment by using the formula:

$P=\frac{r(PV)}{1-(1+r)^{-n}}$

Where P is the monthly payment, PV is the present value, r is the rate per period and n is the number of period.

Substitute the respective values in the above formula we get,

$P=\frac{\frac{0.0299}{12}(24000)}{1-(1+\frac{0.0299}{12})^{-48}}$

$P=\frac{59.8}{0.112593}$

$P\approx531.12$

Hence, the monthly payment will be $531.12

4 0

2 years ago

There are some nickels dimes and quarters in a large piggy bank for every two nickels there are 3 dimes for every two dimes that

creativ13 [48]

We are given

piggy bank has nickels , dimes and quarters

Let's assume

number of nickels =n

every two nickels there are 3 dimes

so, number of dimes are

$=\frac{3}{2}n$

$=1.5n$

every two dimes that are 5 quarters there

so, number of quarters are

$=\frac{5}{2}\times 1.5n$

$=3.75n$

so, total number of coins = number of nickels + number of dimes +number of quarters

total number of coins =n+1.5n+3.75

there are 500 coins

so, we get

$n+1.5n+3.75n=500$

now, we can solve for n

$6.25n=500$

divide both sides by 6.25

so, we get

$n=80$

number of dimes is 1.5n

$=1.5\times 80$

$=120$

number of quarters is 3.75n

$=3.75\times 80$

$=300$

so,

Number of nickels =80

Number of dimes =120

Number of quarters =300............Answer

6 0

2 years ago

A rectangle has height and width changing in such a way that the area remains constant 2 square feet. At the instant the height

hichkok12 [17]

Answer:

$\frac{1}{3}$ ft/min is the rate of changing of width

Step-by-step explanation:

Given -

The area always remain constant i.2 2 square feet.

Height of the rectangle = 2 feet

Rate of changing of height = 6 feet per minute

Since area is constant

2 sq ft = (2 * 6) ft/min * 1 * x ft/min

x = $\frac{1}{3}$ ft/min

4 0

2 years ago

What are the solution(s) to the quadratic equation 40 − x2 = 0?

Anni [7]

X = 20
First, you move the 40 to the other side.
-2x=-40
Then, you divided -40 by -2.
x= -40/-2
x= 20
x is 20 because the negatives cancel out making it positive.

4 0

2 years ago

Read 2 more answers

The width of a rectangle is the length minus 3 units. The area of the rectangle is 54 units. What is the width, in units, of a r

saul85 [17]

Width of the rectangle is 9 units

Step-by-step explanation:

Step 1: Let the width of the rectangle be x. Then the length = x - 3. Find dimensions of the rectangle if its area = 54 sq. units

Area of the rectangle = length × width

54 = x (x - 3)

54 = x² - 3x

x² - 3x - 54 = 0

x² + 6x - 9x - 54 = 0 (Using Product Sum rule to factorize)

x(x + 6) - 9(x + 6) = 0

(x + 6)(x - 9) = 0

x = -6, 9 (negative value is neglected)

x = 9 units

4 0

2 years ago