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
riadik2000 [5.3K]
3 years ago
8

“Donations to an annual fundraiser are 15% greater this year then last year. Last year, donations were 10% greater than a year b

efore. The amount raised this year is $10,120. How much was raised 2 years ago?”
Mathematics
2 answers:
nexus9112 [7]3 years ago
7 0

Answer:  Amount was raised 2 years ago was $8000.

Step-by-step explanation:

Since we have given that

Amount raised this year = $10120

According to question,

Donation were 10% greater than a year before .

Donation  were 15% greater that year than its previous year i.e. 2 years ago.

Let amount raised 2 years ago be x

So, it becomes,

x\times \frac{115}{100}\times \frac{110}{100}=\$10120\\\\x=10120\times \frac{100}{115}\times \frac{100}{110}\\\\x=\$8000

Hence, Amount was raised 2 years ago was $8000.

erastovalidia [21]3 years ago
3 0

Answer: The amount raised 2 years ago was $8000.

Step-by-step explanation:

Since we have given that

The amount raised this year = $10120

Let the amount that was raised 2 years ago be 'x'.

There is increment this year than last year = 15%

There is increment last year than a year before = 10%

So, We need to find the value of x i.e. the original donation 2 years ago was:

So, According to question, our equation becomes

x\times \dfrac{100+10}{100}\times \dfrac{100+15}{100}=10120\\\\x\times \dfrac{110}{100}\times \dfrac{115}{100}=10120\\\\x\times 1.1\times 1.15=10120\\\\x=\dfrac{10120}{1.1\times 1.15}=8000\\\\x=\$8000

Hence, the amount raised 2 years ago was $8000.

You might be interested in
What is the probability the computer produces the first letter of your first name
inysia [295]

Answer:

1 out of 26

Step-by-step explanation:

Because there are 26 letters in the alphabet !

4 0
3 years ago
VE
Firdavs [7]

Answer:

$4167

Step-by-step explanation:

Original Amount: $4167 (rounded)

First Year: $4167 + $416.7 = $4583.7

Second Year $4583.7 + $416.7 = 5000.4

8 0
3 years ago
Addition and Subtraction of Rational
kvv77 [185]

Answer:

\frac{-1}{6}

Step-by-step explanation:

-\frac{5}{12}  + \frac{3}{12} = -\frac{2}{12}

-\frac{2}{12} = -\frac{1}{6}

which can also be written as:

\frac{-1}{6}

4 0
3 years ago
Josea went out to dinner to an Indian restaurant. The total bill was $38 .she wanted to leave a 20% tip
jekas [21]

Answer:

$20?

Step-by-step explanation:

6 0
3 years ago
The ratio of the number of dogs the number of cats is 4:5. There are 270 animals on the rescue Farm. The number of dogs is 4/5.
mafiozo [28]

Answer:

<em>Here is the complete question:</em>

The ratio of the number of dogs to the number of cats is 4:5. There are 270 animals on the rescue farm. for each of the following statements, explain whether statements is true or false and why:

a. The number of dogs is 4/5 the number of cats.

b. 4/5 of the pets at the farm are dogs.

c. There are exactly 30 more cats than dogs.

d. There are exactly 30 dogs at the farm.

e. 5/9 of the pets at the farm are cats.

a,c and e are true statements.

Step-by-step explanation:

Let the number of dogs be "d' and number of cats be "c".

According to the question:

⇒ c+d=270   ...equation (i)

Arranging the ratio:

⇒ \frac{4}{5} = \frac{d}{c}

⇒ 4c=5d

⇒ c=(\frac{5}{4})d    ...equation (ii)

Plugging (ii) in equation (i).

⇒ c+d=270

⇒ \frac{5}{4} d+d=270

⇒ \frac{5d+4d}{4} =270

⇒ 9d=270\times 4

⇒ d=\frac{270\times 4}{9}

⇒ d=120

Number of dogs "d" = 120

Number of cats "c" = (270-120) = 150

Lets check each statement:

a.

The number of dogs is 4/5 the number of cats.

⇒ \frac{4}{5} \times 150

⇒ \frac{4\times 150}{5}

⇒ 120

Statement is true.

b.

4/5 of the pets at the farm are dogs.

⇒ \frac{4}{5} \times 270

⇒ 216

Number of dogs = 120

So the above statement is false.

c.

There are exactly 30 more cats than dogs.

⇒ c-d =30

⇒ 150-120=30

Statement is true.

d.

There are exactly 30 dogs at the farm.

False, as there are 120 dogs

e.

5/9 of the pets at the farm are cats.

⇒ \frac{5}{9} \times 270

⇒ 150

Statement is true.

So,

Statement  a,c and e are true as we could observe in the explanation.

8 0
2 years ago
Other questions:
  • Is <br> Angel 1: 60 and angle 2: 30 a complementary angle
    15·2 answers
  • Hayden has 6 rolls of dimes. There are 50 dimes in each roll. How many dimes does he have altogether
    15·1 answer
  • The area of Triangle C is 54/5 square units. What is the length of h? The base is 3 and 3/5.
    8·1 answer
  • What is the sum of the 18 and 42 as a product of their GCF.
    6·1 answer
  • Lunch at school consists of a sandwich, a vegetable, and a fruit. Each lunch combination is equally likely to be given to a stud
    11·1 answer
  • Marcus is making dinner for 7 people.marcous opens 6 cans of soup .each can is 14 ounces .if everyone gets the same amount of so
    10·2 answers
  • Mr. Ward invests $45,000 in a bank at the beginning of the year. He will receive an interest rate of 8% per year. How much inter
    10·1 answer
  • Javier worked the following hours in the month of October. What was the percent increase from week 2 to week 4?
    15·1 answer
  • DOES ANYONE KNOW WHY OR HAS ANYONE EVER GOT 2000 POINTS TAKEN AWAY FROM THEM OFF THIS APP AND IT SAYS I ONLY ANSWERED ONE QUESTI
    11·1 answer
  • Please answer these questions! Need help!
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!