<h3>
Answers: 100 girls and 25 boys</h3>
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Explanation:
x = number of boys
The ratio of girls to boys is 4:1, meaning there are 4 times as many girls compared to boys. For example, the concert may have 40 girls and 10 boys.
For now, x is some unknown positive whole number. But we can say that 4x represents the number of girls, as we multiply by 4.
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We're told there are 75 more girls than boys, so,
number of girls = (number of boys) + 75
4x = x + 75
4x-x = 75
3x = 75
x = 75/3
x = 25
There are 25 boys and 4x = 4*25 = 100 girls.
We can see that 100-25 = 75 to show that there are 75 more girls compared to boys.
And also, the ratio 100:25 reduces fully to 4:1 after dividing both parts by the GCF 25. These two facts fully confirm the answers.
If im correct the answer would be 4, hope i could help out.
A) = 2
B) = -1
C) = -1
Explanation:
Answer:
The value of x for the expression is 2
Step-by-step explanation:
Given algebraic expression as :
(4 + 6 x ) =
x +
( x + 9 )
Now, solving the given expression
Or,
× 4 +
× 6 x =
x +
x +
× 9
Or,
+
× x =
x +
x +
or, 2 + 3 × x =
+
+ 6
or, 2 + 3 × x =
+ 6
or, 2 + 3 × x =
+ 6
Or, 2 + 3 × x = x + 6
or, 3 x - x = 6 - 2
Or, 2 x = 4
∴ x = 
I.e x = 2
Hence The value of x for the expression is 2 Answer
Answer:




Step-by-step explanation:
We know that,

where,
A = Amount after time t,
P = Principle amount,
r = Rate of interest,
n = Number of times interest is compounded per year,
t = time period in year.
Investment of $25,000 for 4 years at an interest rate of 5% if the money is compounded semiannually
Here,
P = $25,000
r = 5% = 0.05
n = 2 (as compounded semiannually)
t = 4 years
Putting the values,




Investment of $25,000 for 4 years at an interest rate of 5% if the money is compounded quarterly.
Here,
P = $25,000
r = 5% = 0.05
n = 4 (as compounded quarterly)
t = 4 years
Putting the values,




Investment of $25,000 for 4 years at an interest rate of 5% if the money is compounded monthly.
Here,
P = $25,000
r = 5% = 0.05
n = 12 (as compounded monthly)
t = 4 years
Putting the values,



Investment of $25,000 for 4 years at an interest rate of 5% if the money is compounded continuously.

where,
A = Amount after time t,
P = Principle amount,
r = Rate of interest,
t = time period in year.
Putting all the values,

It can be observed that, the frequent we compound the amount, the more we get.