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
marysya [2.9K]
4 years ago
14

A portable electronic typewriter cost £180 in 1988. Its price rose by 5% in 1989. What was the new price?

Mathematics
1 answer:
elena-s [515]4 years ago
5 0

\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{5\% of 180}}{\left( \cfrac{5}{100} \right)180}\implies 9~\hfill \stackrel{\textit{new price}}{180+9\implies 189}

You might be interested in
What two numbers add to -10 and multiple to 16
bearhunter [10]

Answer:

-2 and -8

Step-by-step explanation:

Since the sum of the numbers is negative and the product is a positive, we know that two of the digits are negative because a negative time a negative is positive, and two negatives added are negative.

We can do these two ways.

1.) List out the multiples of 16 and see which ones add to -10

-1 (-16)

-2 (-8)

-4 (-4)

Only -2 and -8 add to get -10, so -2 and -8 are the answers.

2.) List the factors that add up to -10

-1 - 9

-2 - 8

-3 - 7

-4 - 6

-5 - 5

When multiplied, only -2 and -8 have a product of 16, so -2 and -8 are the answers.

Hope this helps. if not, please leave a comment and I will respond when I can. :)

7 0
3 years ago
Solve √5r - 9 - 3 = √r +4-2
Mekhanik [1.2K]

Answer:

  r = 5

Step-by-step explanation:

Solving radical equations often results in extraneous solutions. These can be avoided by using a graphing calculator for the solution.

<h3>Graph</h3>

The attached shows that the value of r that makes both sides of the equation have the same value is r = 5.

<em>Check:</em>

  √(5·5 -9) -3 = √(5 +4) -2   ⇒   4 -3 = 3 -2 . . . true

<h3>Analytical solution</h3>

Solution of an equation like this is typically done by isolating the radical expressions, then squaring the equation.

We can add 3, square the equation, then isolate the radical and square again:

  \displaysyle \sqrt{5r-9}-3=\sqrt{r+4}-2\\\\\sqrt{5r-9}=\sqrt{r+4}+1\qquad\text{add 3}\\\\5r-9=(r+4)+2\sqrt{r+4}+1\qquad\text{square both sides}\\\\(4r-14)^2=4(r+4)\qquad\text{subtract $(r+5)$ and square again}\\\\16r^2-116r+180=0\qquad\text{rewrite in standard form}\\\\4(4r -9)(r -5) = 0\qquad\text{factor}\\\\r=\{\dfrac{9}{4},\ 5\}\qquad\text{solutions to the factored form}

Trying these values in the original equation, we get ...

  √((5(9/4) -9) -3 = √(9/4 +4) -2   ⇒   1.5 -3 = 2.5 -2 . . . . . false

  √(5(5) -9) -3 = √(5 +4) -2   ⇒   4 -3 = 3 -2 . . . . . true

The solution is r = 5.

8 0
2 years ago
In a family,the ages of children arranged from the youngest to the oldest are 2,6,y,14 and z.if the sequence of the ages is in a
elena-14-01-66 [18.8K]

Answer:

9/5

Step-by-step explanation:

The common difference = 6 - 2 = 4

The age after 6 is 6 + 4 = 10 = y

The age after 14 is 14 + 4 = 18 = z

z/ y = 18/10 = 9/5

5 0
3 years ago
-1,2,5,7...with these numbers while using multiplaction, divison, addition, and subtraction, how would u get positive 24
baherus [9]
By adding two positives together, or a big positive number with a small negative number.
4 0
3 years ago
Is the line through points P(0, 7) and Q(2, 10) parallel to the line through points R(-2, 5) and S(0, 8)? Explain.
erica [24]

Answer:

  Yes because they have the same slope of 3/2

Step-by-step explanation:

The slope of PQ is ...

 (10 -7)/(2 -0) = 3/2

The slope of RS is ...

  (8 -5)/(0 -(-2)) = 3/2

The slopes are the same (3/2), so the lines are parallel.

6 0
3 years ago
Other questions:
  • 140=2x+2y in standard form
    5·1 answer
  • A recipe for fruit salad calls for 3 times as many apples as oranges. Which statement is true?
    10·2 answers
  • How much interest will $1,200 earn over 10 years with 5% interest compounded annually
    14·1 answer
  • Can somebody plz help answer these questions correctly thanks (only if u know how to do this) :3
    9·1 answer
  • The difference between two numbers is 12 and their sum is 26. Find the smallest number. A)9 B)7 C)-7 D)-9
    9·1 answer
  • If the length of a basketball court is 32 meters and the width is 9 meters, what is the diagonal of the basketball court? Round
    12·2 answers
  • A 15-foot statue casts a 20-foot shadow. How tall is a person who casts a 4-foot-long shadow?
    13·1 answer
  • 3 write the factor of the following (1) 48 (2) 36 (3) 28 (4) 100 (5) 125 ​
    8·1 answer
  • Solve for unknown in 2x^3+6x^2-20x=0​
    11·1 answer
  • Pleaseeeee helppp asap
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!