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Bess [88]
3 years ago
9

2 dogs/ 3 cats and 10 dogs/ 15 cats are an example of

Mathematics
1 answer:
Bad White [126]3 years ago
6 0
2 dogs/ 3 cats and 10 dogs/ 15 cats are an example of

b. Equivalent ratios
__________________________

\frac{10 \: dogs}{15 \: cats}  =  \frac{5 \times 2 \: dogs}{ 5 \times 3 \: cats}  =  \frac{2 \: dogs}{3 \: cats}  \\

We can see that they are equivalent ratios.
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To offer scholarships to children of employees, a company invests $13,000 at the end of every three months in an annuity that pa
Andreyy89

Annuities

Suppose a fixed investment R is done every fixed number of periods m per year for t years at a constant rate r.

a.

The final value of the investments plus the interest is calculated as follows:

FV=R\cdot\frac{(1+i)^n-1}{i}

Where:

n = number of total periods of the investment.

n = m*t

i=\frac{r}{m}

The company invests R = $13,000 for t = 10 years at the end of every quarter (3 months), thus m = 4. The interest rate is r = 9% = 0.09.

The interest rate compounds quarterly.

Calculate:

n = 4*10 = 40

i = 0.09 / 4 = 0.0225

\begin{gathered} FV=\$13,000\cdot\frac{(1+0.00225)^{40}-1}{0.0225} \\ FV=\operatorname{\$}13,000\times\frac{(1.00225)^{40}-1}{0.0225} \\ FV=\operatorname{\$}13,000\times\frac{2.435188965-1}{0.0225} \\ FV=\operatorname{\$}13,000\cdot63.786176 \end{gathered}

Calculating:

FV = $829,220

The company will have $829,220 in scholarship funds

b. The interest can be found by subtracting the final value and the initial value. We have to calculate the latter:

\begin{gathered} A=FV(1+i)^{-n} \\ A=\$829,220(1.0225)^{-40} \\ A=\$340,516 \end{gathered}

Thus, the interest is:

welcI = $829,220 - $340,516

I = $488,704

The interest is $488,704

5 0
1 year ago
2.<br> A cube has a volume of 7 to the third cubic centimeters. What is its surface area?<br> الم
Marizza181 [45]

Answer:

294

Step-by-step explanation:

since the area is 7^3, the cube's side length is 7

SA = 6*7^2 = 294

7 0
2 years ago
At a shelter, 15% of dogs are puppies. There are 60 dogs at the shelter.How many are puppies?
Ostrovityanka [42]
It is important to look at all the information’s already given in the question. Those information’s will come in handy while solving the question.
Number of dogs in the shelter = 60
Percentage of puppies in the shelter = 15%
Then
Number of puppies in the shelter = (15/100) * 60
                                                     = 900/100
                                                     = 9
So there are a total of 9 puppies in the shelter. I hope the procedure is clear enough for you to understand. I am glad to have helped you.


7 0
3 years ago
Read 2 more answers
Assess the extent to which bad road use has a direct impact on the physical,emotional,social,and economic aspects to the family
Dahasolnce [82]
It is true that bad road condition does have a direct impact on the physical, emotional and economic aspects to the family, the community and the country. Bad roads can cause accidents which directly impacts a person physically. Mentally it is very stressful for a person to drive on bad roads. He or she has to be extra careful regarding potholes and other damages that have happened to the road. Economically bad roads can be the reason for price rise of products as time required to move a product via road is more. Also the cost of transport increases drastically.



3 0
3 years ago
Read 2 more answers
What is the total amount on an investment account of $450 at an
olchik [2.2K]
The equation for simple interest is I = PRT. I = interest earned, P = principal/money invested, R = rate as a decimal, T = time in years.

I = (450)(0.03)(4)
I = 54

$54 is your answer
3 0
2 years ago
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