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3 years ago

#33 please. Show work. Thanks in advanced.

Mathematics

1 answer:

Alex Ar [27]3 years ago

4 0

A. 12% discount, or, $7.44 discount

B. The sale price is $54.56

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Find the centre and radius for this circle , x^2+y^2=25

aliya0001 [1]

Answer:

centre = (0, 0 ), radius = 5

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( r is the radius )

x² + y² = 25 ← is in this form

with centre = (0, 0 ) and r = $\sqrt{25}$ = 5

3 0

3 years ago

Select the correct answer from the drop-down menu. A whole number is 6 more than 2 times another number. The sum of the two numb

olya-2409 [2.1K]

Answer:

$x = \{13,14\}$

Step-by-step explanation:

Given

$x + 2x + 6 < 50$

Required

True values of x

We have:

$x + 2x + 6 < 50\\$

$3x + 6 < 50$

Collect like terms

$3x < 50-6$

$3x < 44$

Divide both sides by 3

$x < 44/3$

$x < 14.67$

This means that x has a value lesser than 14.67.

Hence, the valid values are:

$x = \{13,14\}$

7 0

3 years ago

You have 10 boxes and you shade 3 of the boxes what is the fraction of that.

7nadin3 [17]

If you have 10 boxes and you shade 3 of these boxes, then the fraction of shaded boxes is 3/10. The fraction of unshaded boxes would just be the remainder of boxes, or 7/10.

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3 years ago

A bike rental shop rents out bicycles with a flat rate of $6 and then charges $2 per hour a person rents out the bike. Identify

DIA [1.3K]

Answer:

Independent Variable: Number of hours

Dependent Variable: Cost

Equation: C = 2x + 6

Step-by-step explanation:

The independent variable (x) is the variable that is manipulated. In this instance, that would be the number of hours a person rents out the bike.

The dependent variable (C) is the variable that is manipulated depending on the value of the independent variable. In this instance, that would be the total cost for renting the bike.

The total equation would be C = 2x + 6. The coefficient, 2, represents the charge of $2 per hour and the 6 represents the starting charge of $6.

6 0

3 years ago

Jimmy invests $500 in an account with a 3% interest rate, making no other deposits or withdrawals. What will Jimmy’s account bal

Anastaziya [24]

Answer:

Jimmy's account balance will be $673.43 after 10 years.

Step-by-step explanation:

The compound interest formula is given by:

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

Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

In this problem, we have that:

$P = 500, r = 0.03, n = 2, t = 10$

What will Jimmy’s account balance be after 10 years if the interest is compounded 2 times each year?

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

$A = 500(1 + \frac{0.03}{2})^{2*10} = 673.43$

Jimmy's account balance will be $673.43 after 10 years.

4 0

3 years ago