Ask question

Ask question

All categories

3 years ago

9

Melissa has found that her most recent "third quarter earnings", are 2.4% below last year's earnings, for the same period. If sh

e calculates this year's "third quarter" earnings to be $10,467.00,what were last year's earnings? Please round to the nearest cent.

1 answer:

NemiM [27]3 years ago

8 0

x·(1 - 0.024) = 10467 --> x = 10724.39

You might be interested in

Valentin [98]

I’m 99% sure it’s D because you would add both those numbers to equal his debt that day

3 0

4 years ago

Evaluate csc(-315°).

Maru [420]

Answer:

$\frac{2}{\sqrt{2} } = \sqrt{2}$

Step-by-step explanation:

Notice from the attached image that -315 degrees is the same as 45 degrees.

Recall as well that the csc function is defined as the reciprocal of the sine function: $csc(x)=\frac{1}{sin(x)}$

Then, you need to evaluate $\frac{1}{sin(45)} = 1/\frac{\sqrt{2} }{2} = \frac{2}{\sqrt{2} } =\sqrt{2}$

8 0

3 years ago

A sphere is inscribed in a cube with a volume of 64 cubic inches. What is the volume of the sphere? Round your answer to the nea

erma4kov [3.2K]

Answer:

the volume of the sphere is

$33.51 in^{3}$

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, sphere and cube.

Given data

Volume of cube v = 64 cubic inches

since we are dealing with a cube the height and the radius of the sphere is same as the sides of the cube,

we know that volume of cube is expressed as

$v= l*b*h$

$v=l^{3}$

$64= l^{3}$

$l= \sqrt[3]{64}$

$l= 4 in$

also diameter d=length l

Diameter d= $4in$

Radius r = $\frac{d}{2}$ = $\frac{4}{2}$ = ${2 in}$

Height h= $4in$

we know that the volume of a sphere is given by

$v= \frac{4}{3} \pi r^{3}$

substituting into the formula we have

$v= \frac{4}{3} \ *3.142*2^{3} \\v=\frac{4*3.142*8}3} \\v= \frac{100.54}{3} \\v= 33.52in^{3}$

8 0

3 years ago

Indicate the method you would use to prove the two Δ's ≅ . If no method applies, enter "none".

slavikrds [6]

Here is your answer

$SSS$

REASON:

SSS congruency states that, if all the three sides of a triangle are respectively equal to the corresponding sides of another triangle then both triangles are said to be $congruent$ .

Here, in both triangles

7units=7 units

8units=8units

Middle side is common to both triangles so it is equal.

Hence, both triangles are congruent by SSS

HOPE IT IS USEFUL

7 0

3 years ago

Someone please help me

Hoochie [10]

I think it might be point be but I’m not sure if it’s correct I’m sorry if it’s wrong

7 0

2 years ago

Read 2 more answers