Answer:
First we must figure out what the question means. It is asking how the absolute value of 3+10 is equivalent to the absolute value of 3 plus the absolute value of ten.
Next we should solve the expressions: The absolute value of 3 plus 10 is 13. The absolute value of 3 plus the absolute value of 10 is 13. 13 and 13 are the same number.
Therefore, the expressions are equivalent. Thus, having your answer.
Ratio is a comparison of two values or two quantities.
Fraction is a another form of ratio.
The first term and the second term in the ratios are important.
It should not be changed.
The first quantity value is in first term and the second quantity value is in second term of the ratio.
Ratio and fractions are same.
Example:
The ratio of male to female in the school is 5 : 6.
5 represents male students and 6 represents female students.
The fraction form of the above ratio is 
A loan of $50,000 is taken out for six years at 9% interest compounded annually. If the loan is paid off in full at the end of that time period, $50433 must be returned.
<h3>What is Compound interest?</h3>
- Compound interest is calculated by multiplying the initial loan amount, or principal, by one plus the annual interest rate multiplied by the number of compound periods multiplied by one.
- Compound interest is when you earn interest on both your savings and your interest earnings. When you compound interest, you add the interest you've earned back into your principal balance, which earns you even more interest, compounding your returns.
- Assume you have $1,000 in a savings account earning 5% interest per year. You'd earn $50 in year one, giving you a new balance of $1,050. Compound interest occurs when interest earned on savings begins to earn interest on itself.
To learn more about Compound interest, refer to:
brainly.com/question/24924853
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Answer:
The total area is 300 ft^2
Step-by-step explanation:
First find the area of the rectangle
A = l*w = 24*10 = 240
Then find the area of the triangle on the top
A = 1/2 bh
The base is 24 and the height is 15-10 = 5
A = 1/2 (24)*5 = 60
Add them together
240+60 = 300
The total area is 300 ft^2
Answer:
Part a) Option d
Part b) Option a
Step-by-step explanation:
Part a
if we look at the options given and the data available
Option a) x^4+9
Putting x= 2 we get (2^4) + 9 =25
Putting x= 3 we get (3^4) + 9 =90 but f(x) =125 so not correct option
Option b) (4^x)+9
Putting x= 2 we get (4^2) + 9 =25
Putting x= 3 we get (4^3) + 9 =73 but f(x) =125 so not correct option
Option c) x^5
Putting x= 2 we get (2^5) =32 but f(x) =25 so not correct option
Option d) 5^x
Putting x= 2 we get (5^2) =25
Putting x= 3 we get (5^3) =125
Putting x= 4 we get (5^4) =625
So Option d is correct.
Part (b)
3(2)^3x
can be solved as:
=3(2^3)^x
=3(8)^x
So, correct option is a
