Use the distributive property to express the sum of 48+84 as a multiple of 2 numbers with no common factor.

Jolene works for a company that does not offer retirement matching. For the last 16 years, Jolene has been depositing $150 into

ki77a [65]

Answer:

$2,543.84 is your answer.

Step-by-step explanation:

What you do first is you have to figure out the 5.99% interest rate.

150 x 5.99 = 8.99

150 + 8.99 = $158.99

Now multiply that by 16

158.99 x 16 = $2,543.84 is your answer.

4 0

4 years ago

If the square root of 16 = x, then x2 =

ASHA 777 [7]

The square root of 16=4, 4x2=8, x2=8.

6 0

4 years ago

Read 2 more answers

Simplify the expression

Hitman42 [59]

Answer:

r^12 t^12

Step-by-step explanation:

4 0

3 years ago

What is the radius of circle c

Oxana [17]

Answer:

radius = 13

Step-by-step explanation:

Look at the attached picture below. We can calculate radius with the help of the Pythagorean theorem. But first we have to find out the values of the two legs.

First let's find the shorter leg.

Equidistant Chords Theorem

Two chords are congruent if they are equidistant from the center.

Chords in the picture are congruent and that means that the distance from the center to each of them is the same!

Let's calculate the distance. But to get the distance we have to find x first.

Since the distances are the same:

$x + 3 = 2x + 1\\2 = x$

Therefore:

$\text{distance (short leg)} = 2x + 1 = 2\cdot2 + 1 = 5$

Let's focus on the longer leg. Since part of the radius is perpendicular to the chord, it actually bisects the chord! That means that the long leg is going to be a half of the length of the chord.

Therefore:

$\text{long leg} = \frac{\text{chord}}{2} = \frac{24}{2} = 12$

All that is left is the Pythagorean Theorem in the right triangle.

Pythagorean Theorem

$\text{hypotenuse}^2 = \text{leg}_1^2 + \text{leg}_2^2$

Hypotenuse in our case is the radius.

$\text{radius}^2 = 5^2 + 12^2\\\text{radius}^2 = 25 + 144\\\text{radius}^2 = 169\\\text{radius} = 13$

7 0

2 years ago

Hometown Donuts tracked how many of each type of donut were recently sold.

ziro4ka [17]

Answer:

4.62%

Step-by-Step Explanation:

Ask yourself: "3 is what percent of 65?" and solve.

Percentage solution with steps:

Step 1: We make the assumption that 65 is 100% since it is our output value.

Step 2: We next represent the value we seek with x.

Step 3: From step 1, it follows that 100%=65.

Step 4: In the same vein, x%=3.

Step 5: This gives us a pair of simple equations:

100%=65(1)

x%=3(2)

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

100% / x% =65 / 3

Step 7: Taking the inverse (or reciprocal) of both sides yields

x% / 100% =3 / 65

---> x = 4.62%

Therefore, 3 is 4.62% of 65.

3 0

2 years ago