Use multiplication to solve the proportion. Y/9=44/54. What is Y

Voting in Clarksville's annual school board elections has been going down by 5% from one election to the next. If 440 parents vo

slamgirl [31]

Answer:

377 parents

Step-by-step explanation:

We start by writing an exponential equation

FV = PV(1 - r)^t

FV is future value = ?

PV is present value = 440

r is rate = 5/100 = 0.05

t = 3

Substituting these values

FV = 440(1 - 0.05)^3

FV = 377.245

This is approximately 377

6 0

3 years ago

1. What percent of 654 is 163.5?

Debora [2.8K]

Answer:

25%

Step-by-step explanation:

divide 163.5 by 654.

3 0

4 years ago

A circle fits inside a semicircle of diameter 24mm

patriot [66]

Answer:

The shaded are is $113\ mm^{2}$

Step-by-step explanation:

we know that

The shaded area is equal to the area of the semicircle minus the area of the circle inside the semicircle

step 1

Find the area of semicircle

The area of semicircle is equal to

$A=\frac{1}{2}\pi r^{2}$

where

$r=24/2=12\ mm$ ----> the radius is half the diameter

substitute

$A=\frac{1}{2}\pi(12)^{2}=72\pi\ mm^{2}$

step 2

Find the area of the circle inside the semicircle

The area of circle is equal to

$A=\pi r^{2}$

where

$r=12/2=6\ mm$ ---> the radius of circle inside is half the radius of semicircle

substitute

$A=\pi(6)^{2}=36\pi\ mm^{2}$

step 3

Find the shaded area

$72\pi\ mm^{2}-36\pi\ mm^{2}=36\pi\ mm^{2}$

assume

$\pi=3.14$

$36(3.14)=113.04\ mm^{2}$

3 significant figures is

$113\ mm^{2}$

6 0

3 years ago

Find the sum of 46 + 42 +38... +(-446) +(-450)

schepotkina [342]

The sum of the given sequence is -24846.

Step-by-step explanation:

The given Arithmetic sequence is 46 + 42 +38... +(-446) +(-450).

The first term of the sequence = 46
The last term of the sequence = -450
The common difference ⇒ 46 - 42 = 4

To find the number of terms in the sequence :

The formula used is $n = (\frac{a_{n}-a_{1}} {d})+1$

where,

n is the number of terms.
$a_{n}$ is the late term which is -450.
$a_{1}$ is the first term which is 46.
d is the common difference which is 4.

Therefore, $n =(\frac{-450-46}{4}) +1$

⇒ $n = (\frac{-496}{4}) + 1$

⇒ $n = -124 + 1$

⇒ $n = -123$

⇒ n = 123, since n cannot be negative.

∴ The number of terms, n = 123.

To find the sum of the arithmetic progression :

The formula used is $S = \frac{n}{2}(a_{1} + a_{n} )$

where,

S is the sum of the sequence.
$a_{1}$ is the first term which is 46.
$a_{n}$ is the late term which is -450.

Therefore, $S = \frac{123}{2}(46+ (-450))$

⇒ $S = \frac{123}{2}(-404)$

⇒ $S = 123 \times -202$

⇒ $S = -24846$

∴ The sum of the given sequence is -24846.

6 0

3 years ago

So what do I do?? Like I can graph but there only one number

IrinaK [193]

Answer:

The fact that there is only one number is okay, just continue the way you usually would.

For example find two points:

when x=0: y=-3(0), y=0

when x=2: y=-3(2), y=-6

(0,0) and (2,-6) are two points on the line. Connect them and extend the line.

6 0

3 years ago