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3 years ago

8

The weekly salary check for Miss Blue is $478. Her employer contributes 6.5% to a retirement annuity.

1 answer:

velikii [3]3 years ago

8 0

31.07hopes this helps

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A lumber yard offers boards based on wood species, size, and grade. If a customer can choose among 3 species, 3 sizes, and 2 gra

frutty [35]

Answer:

18

Step-by-step explanation:

3 x 3 = 9

9 x 2 = 18

5 0

3 years ago

Segment A’B’ is the result of translating AB by 1 unit to the right and 3 units up

natka813 [3]

In my opinion for me it looks like it could be A or B but if I am wrong then I try :(

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3 years ago

20x^2-30=4x solve for x

ankoles [38]

Answer:

x=1.3288 or -1.1288

Step-by-step explanation:

Given $20x^{2}-30=4x$

Subtract 4x from both sides

$20x^{2}-4x-30=0$

Since we can factor out 2 from whole equation, let's factor out 2.

$2(10x^{2}-2x-15)=0$

Divide with 2 on both sides

$10x^{2}-2x-15=0$

We got the quadratic equation, we can solve for x using quadratic formula.

$x=\frac{-b\pm\sqrt{b^{2}-4ac} } {2a}$

$x=\frac{2\pm\sqrt{2^{2}-4X10X(-15)} } {2X10}$

$x=\frac{2\pm\sqrt{604} }{20}$

$x=\frac{2\pm2\sqrt{151}}{20}$

$x=1.3288or-1.1288$

8 0

3 years ago

Read 2 more answers

The Carousel at Carowinds has 4 rings of horses. Fred is riding on the inner ring, which has a radius of 7 feet. Juan is riding

nikdorinn [45]

Answer:

Juan travel 31.4 feet farther than Fred in one rotation.

Step-by-step explanation:

In this problem we need to determine the change in linear position of Fred and Juan, whose formula is:

$s=\theta \cdot r$ (Eq. 1)

Where:

$r$ - Radius, measured in feet.

$\theta$ - Angular arch, measured in radians.

$s$ - Change in linear position, measured in feet.

If both makes one rotation in the carousel, we obtain the change in linear position of each player:

Fred ( $r = 7\,ft$ , $\theta = 2\pi$ )

$s= 2\pi\cdot (7\,ft)$

$s = (3.14)\cdot (7\,ft)$

$s = 21.98\,ft$

Juan ( $r = 17\,ft$ , $\theta = 2\pi$ )

$s= 2\pi\cdot (17\,ft)$

$s = (3.14)\cdot (17\,ft)$

$s = 53.38\,ft$

And the difference between both travelled distances is:

$\Delta s = 53.38\,ft-21.98\,ft$

$\Delta s = 31.4\,ft$

Juan travel 31.4 feet farther than Fred in one rotation.

4 0

3 years ago

Assuming the population growth models continue to represent the growth of the forests, which forest will have a greater number o

Maksim231197 [3]

The given population models for the trees is given as:

$\begin{gathered} A(t)=115(1.025)^t \\ B(t)=82(1.029)^t \end{gathered}$

It is required to find which forest will have a greater number of trees after 20 years and by how many.

To do this substitute t=20 in the equations of the models:

$A(20)=115(1.025)^{20}\approx188$ $B(20)=82(1.029)^{20}\approx145$

Hence, forest A has a greater number of trees after 20 years.

Calculate the difference:

$188-145=43$

It follows that forest A has a greater number of trees than forest B by 43 trees.

After 20 years, forest A has a greater number of trees than forest B by 43 trees.

3 0

1 year ago