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3 years ago

14

Jacelin was paid $50 after a day of babysitting. She watched the children from 8am until 4pm. What is the unit rate of her earni

ngs

1 answer:

taurus [48]3 years ago

5 0

Answer:

The unit rate of her earnings is 12.5

Step-by-step explanation:

50 divided by 9 = 12.5

She makes $12.50 an hour.

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Can you please help me I’ll pay you £100

natima [27]

Answer:

The new points to the triangle will be:

$A(-6, 6)\\B(-6, 3)\\C(-8, 3)$

Step-by-step explanation:

Because the reflection point is at $x = -1$ , all x values will subtract their distances from $x = -1$ to get their new values. The y values remain the same.

The starting values are:

$A(4,6)\\B(4,3)\\C(6,3)$

Point $A$ is 5 units away from $x = -1$ , so we'll subtract 5 from -1 to get the new x value: $-1 - 5 = -6$ , so $A(-6, 6)$ .

Point $B$ is also 5 unit away from $x = -1$ , so we'll subtract 5 from -1 to get the new x value: $-1 - 5 = -6$ , so $B(-6, 3)$ .

Point $C$ is 7 units away from $x = -1$ , so we'll subtract 7 from -1 to get the new x value: $-1 - 7 = -8$ , so $C(-8, 3)$ .

7 0

2 years ago

Read 2 more answers

(Picture) MULTIPLYING MONOMIALS AND BINOMIALS

motikmotik

Answer:

Second option: 81y^4 - 16x^2, the difference of squares

Step-by-step explanation:

(9y^2-4x)(9y^2+4x) is a special product named difference of squares, then we can apply this formula:

(a-b)(a+b)=a^2-b^2, with a=9y^2 and b=4x, then:

(9y^2-4x)(9y^2+4x)=(9y^2)^2 - (4x)^2

(9y^2-4x)(9y^2+4x)=(9)^2 (y^2)^2 - (4)^2 (x)^2

(9y^2-4x)(9y^2+4x)=81y^(2*2) - 16x^2

(9y^2-4x)(9y^2+4x)=81y^4 - 16x^2

7 0

3 years ago

Two fifths of the children in the nursery were boys. What was the ratio of boys to girls in the nursery?

Shtirlitz [24]

The answer would be 2:3

6 0

3 years ago

200 = 16(6t - 13)<br><br> t = ? <br> Help!

Marrrta [24]

Step 1. Divide both side by 16

100/16 = 6t - 13

Step 2. Dimplify 200/16 to 25/2

25/2 = 6t - 13

Step 3. Add 13 to both sides

25/2 + 13 = 6t

Step 4. Simplify 25/2 + 13 to 51/2

51/2 = 6t

Step 5. Divide both sides by 6

51/2/6 = t

Step 6. Simplify 51/2/6 to 51/2 * 6

51/2 * 6 = t

Step 7. Simplify 2 * 6 to 12

51/12 = t

Step 8. Simplify 51/12 to 17/4

17/4 = t

Step 9. Switch sides

t = 17/4

4 0

3 years ago

Read 2 more answers

Use the "rule of 72" to estimate the doubling time (in years) for the interest rate, and then calculate it exactly. (Round your

Law Incorporation [45]

Answer:

According to the rule of 72, the doubling time for this interest rate is 8 years.

The exact doubling time of this amount is 8.04 years.

Step-by-step explanation:

Sometimes, the compound interest formula is quite complex to be solved, so the result can be estimated by the rule of 72.

By the rule of 72, we have that the doubling time D is given by:

$D = \frac{72}{Interest Rate}$

The interest rate is in %.

In our exercise, the interest rate is 9%. So, by the rule of 72:

$D = \frac{72}{9} = 8$ .

According to the rule of 72, the doubling time for this interest rate is 8 years.

Exact answer:

The exact answer is going to be found using the compound interest formula.

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

In which 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.

So, for this exercise, we have:

We want to find the doubling time, that is, the time in which the amount is double the initial amount, double the principal.

is double the initial amount, double the principal.

$A = 2P$

$r = 0.09$

The interest is compounded anually, so $n = 1$

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

$2P = P(1 + \frac{0.09}{1})^{t}$

$2 = (1.09)^{t}$

Now, we apply the following log propriety:

$\log_{a} a^{n} = n$

So:

$\log_{1.09}(1.09)^{t} = \log_{1.09} 2$

$t = 8.04$

The exact doubling time of this amount is 8.04 years.

4 0

3 years ago