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JulijaS [17]
3 years ago
7

At a pond there were 24 ducks swimming. The ratio of duckling to adult ducks is 5 to 1. How many ducklings were swimming at the

pond.
Mathematics
2 answers:
CaHeK987 [17]3 years ago
7 0

Answer:

the answer is 20

Step-by-step explanation:

Setler [38]3 years ago
5 0

Answer:

Twenty ducklings were swimming at the pond

Step-by-step explanation:

Let

x------> the number of ducklings

y------> the number of adult ducks

we know that

x+y=24 ------> equation A

\frac{x}{y}=\frac{5}{1}

so

x=5y

y=0.20x ------> equation B

Substitute equation B in equation A

x+0.20x=24

1.20x=24

x=20 ducklings

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joja [24]

Answer:

C) $10,000 invested at 6.7% compounded quarterly over 7 years yields the greater return.

Step-by-step explanation:

-We determine the effective interest rate in both scenarios and use it to calculate the investment's value after 7 years.

#Given n=7yrs, P=$10,000 and i=6.6% compounded monthly:

i_m=(1+i/m)^m-1\\\\=(1+0.066/12)^{12}-1=0.06803\\\\\therefore A=P(1+i_m)^n\\\\=10000(1.06803)^7\\\\\approx \$15,852.00

#Given n=7rs, P=10000, i=6.7%

i_m=(1+i/m)^m-1\\\\=(1+0.067/4)^{4}-1=0.06870\\\\\therefore A=P(1+i_m)^n\\\\=10000(1.06870)^7\\\\\approx \$15,921.75

Hence, the investment has the largest value($15,921.75) when the interest rate is compounded quarterly.

8 0
3 years ago
What is 10x-3>3x+11 as a word problem​
Leokris [45]

Answer:

Ten times a number minus 3 is greater than three times the number plus eleven

Step-by-step explanation:

we have the inequality

10x-3 > 3x+11

Let

x ----> a number

As a word problem will be

10x -----> Ten times a number x

+ ----> plus

-3 ----->  negative 3

> greater than

3x ----> three times a number x

11 ----> eleven

therefore

Ten times a number minus 3 is greater than three times the number plus eleven

7 0
3 years ago
When you find the surface area of a cube, you ________ the length of the cube and multiply by 6.
garik1379 [7]

Answer:

A-square

Step-by-step explanation:

The formula for the surface area of a cube is:

SA = 6a²

where a is the length of the cube

7 0
3 years ago
A survey asks 48 randomly chosen students if they plan to buy a school newspaper this week. Of the 48 surveyed,32 plant to buy a
spayn [35]
The answer is 540 because 32/48 is 2/3 and 360/540 equals 2/3
4 0
3 years ago
Find the percent change from 200 to 192.
masha68 [24]

Answer:

4% change

Step-by-step explanation:

8 0
3 years ago
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