1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
spin [16.1K]
3 years ago
8

In a newspaper, it was reported that yearly robberies in Springfield were up 26% to 315 in 2014 from 2013. How many robberies we

re there in Springfield in 2013?
Mathematics
1 answer:
Setler [38]3 years ago
5 0
<h3>The number of robberies in Springfield in 2013 is 250.</h3>

Step-by-step explanation:

Here let us assume that the number of robberies in 2013 = m

Given the number of robberies in 2014 = 315

As we can see the robberies has risen by 26% .\

⇒  26%   + 100 % of Robberies in 2013  = 315

⇒ 126% of m   = 315

\implies \frac{126}{100} \times m = 315\\\implies m  = \frac{315 \times 100}{126}  = 250

or, m = 250

Hence, the number of robberies in Springfield in 2013 is 250.

You might be interested in
Set up but do not solve for the appropriate particular solution yp for the differential equation y′′+4y=5xcos(2x) using the Meth
taurus [48]

Answer:

So, solution of  the differential equation is

y(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos  2x+c_1e^{-2it}+c_2e^{2it}\\

Step-by-step explanation:

We have the given differential equation: y′′+4y=5xcos(2x)

We use the Method of Undetermined Coefficients.

We first solve the homogeneous differential equation y′′+4y=0.

y''+4y=0\\\\r^2+4=0\\\\r=\pm2i\\\\

It is a homogeneous solution:

y_h(t)=c_1e^{-2i t}+c_2e^{2i t}

Now, we finding a particular solution.

y_p(t)=A5x\cos 2x\\\\y'_p(t)=A5\cos 2x-A10x\sin 2x\\\\y''_p(t)=-A20\sin 2x-A20x\cos 2x\\\\\\\implies y''+4y=5x\cos 2x\\\\-A20\sin 2x-A20x\cos 2x+4\cdot A5x\cos 2x=5x\cos 2x\\\\-A20\sin 2x=5x\cos 2x\\\\A=-\frac{x}{4} \cot 2x\\

we get

y_p(t)=A5\cos 2x\\\\y_p(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos  2x\\\\\\y(t)=y_p(t)+y_h(t)\\\\y(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos  2x+c_1e^{-2it}+c_2e^{2it}\\

So, solution of  the differential equation is

y(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos  2x+c_1e^{-2it}+c_2e^{2it}\\

7 0
3 years ago
lady walks in the store and steels $100.00 from register then buys $70.00 worth of food how much did the owner loose
Sindrei [870]
$30 of goods were stolen
7 0
4 years ago
Read 2 more answers
Help me this is due in a few minutes
Dovator [93]

Answer:

3/4 is your answer.

I HOPE IT WILL HELP YOU.

I HOPE You Will Have a great day ahead.

3 0
3 years ago
Some help, I need some answers
makkiz [27]

Step-by-step explanation:

here

10^2=8^2+X^2

X^2=100-64

X=√36

X=6

4 0
3 years ago
Please help!! Double points! write the ratios for sin X and cos X (Image attached)
Orlov [11]

Answer:

The ratio for sin(X) is \frac{\sqrt{119} }{12}

The ratio for cos(X) is \frac{5}{12}

Step-by-step explanation:

- The ratio of the sine of a right triangle is:

sin(\alpha)=\frac{opposite-side}{hypotenuse}

Since we need the ratio for angle X, \alpha =X. From the picture we can infer that the opposite side of X is \sqrt{119}. The hypotenuse (the side opposite to the right angle) is 12, so replacing the values:

sin(X)=\frac{\sqrt{119} }{12}

- The ratio of the cosine is:

cos(\alpha)=\frac{adjacent-side}{hypotenuse}

Similarly, \alpha =X, adjacent side = 5, and hypotenuse = 12, so

cos(X)=\frac{5}{12}

6 0
4 years ago
Read 2 more answers
Other questions:
  • right triangle ABC has area 32√3cm^2. The measure of &lt;A = 30, m&lt;B=90. What is the length of BC? AB? AC? Express all answer
    7·1 answer
  • It Says Least To Greatest With These Numbers 7/12 0.75 5/6
    11·1 answer
  • We have three coins: one with heads on both faces, the second with tails on both faces, and the third a regular one. We choose o
    11·1 answer
  • What is the arc measure, in degrees of Arc ADC on Circle P below?
    13·1 answer
  • To label a ray we start with?
    11·1 answer
  • steven has 10 different shirts 6 different hats 4 different scarves. Steven thinks that if he picks just two of the three items
    15·1 answer
  • Jillian is trying to save water, so she reduces the size of her square grass lawn by 8 feet on each side. The area of the smalle
    7·2 answers
  • Bryan has a collection of baseball cards which he shares equally with his brother, Jude. Bryan also received five cards from his
    10·2 answers
  • . Find the domain and range of y=(3-x)2<br><br>-8.​
    12·1 answer
  • Somebody please help me?​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!