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Answer 1
Answer:

Answer:

SAS

Step-by-step explanation:


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Using technology, we determined that Mary’s investment account can be modeled by the function, M(x) = 3.03(2.18)^x in thousands of dollars. What was Mary’s initial investment?$3.03
$4.96
$3,030
$4,960

Answers

Initial investment can be calculated by setting the value of x to zero since it is an initial value where time is zero. Using the given model, we calculate as follows:

M(x) = 3.03(2.18)^x
M(0) = 3.03 (2.18)^0
M(0) = 3.03 <---------FIRST OPTION

The standard form of writing exponential function is given as:

y = ab^x. Mary’s initial investment is $3.03

Exponential equations

The standard form of writing exponential function is given as:

y = ab^x

where

a is the base

x is the exponent

Given the Mary’s investment account can be modeled by the function M(x) = 3.03(2.18)^x

Her initial investment is the point where x = 0

Substitute

M(x) = 3.03(2.18)^x

M(0) = 3.03(2.18)^0
M(0) =  3.03

Hence Mary’s initial investment is $3.03

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If Leah is 6 years older than her sister,Sue, and John is 5 years older than Leah, and the total of their ages is 41. Then how old is Sue?

Answers

Let us assume the age of Sue = x years
Then
Age of Leah = x + 6
Age of John = 5 + (x + 6)
                    = x + 11
Total of their ages = 41
So
x + x + 6 + x + 11 = 41
3x + 17 = 41
3x = 41 - 17
3x = 24
x = 24/3
   = 8 years
So Sue is 8 years old.
She is 30 years old.

The Sum of 4 times one number and 3 times the second number is 65. The sum if the 2 numbers is 18. What are the numbers and equations you used

Answers

4x + 3y = 65
X + y = 18

When you use elimination, multiply the second equation by -3
4x + 3y = 65
-3X -3y = -54
X = 11


X+y = 18
11 + y = 18
Y = 7

Express 3.12 as a fraction in lowest terms.3 10/12

3 5/6

312/1000

3 3/25

Answers

Answer:

3 3/25

Step-by-step explanation:

The number 3.12 has a decimal number of 0.12. We know that numbers after the point is divided by 100. Therefore 0.12 is:

=12/100

We can simplify this by dividing by 4. Four goes into twelve 3 times and into a hundred 25 times:

=12/100=3/25

Theforet the answer is 3 3/25.

The decimal 3.12 as a fraction in lowest terms is (d) 3 3/25

How to express 3.12 as a fraction in lowest terms.

From the question, we have the following parameters that can be used in our computation:

Number = 3.12

Express 3.12 as the sum of numbers 3 and 0.12

So, we have the following representation

Number = 3 + 0.12

Express 0.12 as a fraction

So, we have the following representation

Number = 3 + 12/100

Simplify

Number = 3 + 3/25

Evaluate the sum

Number = 3 3/25

Hence, the fraction 3.12 as a fraction in lowest terms is (d) 3 3/25

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PLEASE ANSWER ASAP! ANSWER MUST INCLUDE EXPLANATION IN ORDER TO RECEIVE POINTS AND THE BRAINLIEST ANSWER! THANKS!!!

Answers

We'll use the Pythagorean Theorem to solve this problem.
We know that the Pythagorean Theorem is the following:

a^(2) + b^(2) =c^(2)

where c is the hypotenuse (the side opposite the right angle), and a and b are the legs of the triangle.
To solve, we just have to input what we know. The two legs of the triangle are 60 and 100, so we just have to plug these values in and solve.

60^(2) + 100^(2) = c^(2)

3600 + 10000 = c^(2)

13600= c^(2)

So we know that the distance from one corner of the playing field to the opposite corner is the square root of 13,600 yards.
When we plug this into a calculator, we get

√(13600) ≈ 116.619...

which, when rounded up to the nearest whole number, is 117.
The approximate distance from one corner of the soccer field to the opposite corner is 117 yards.
Hope that helped! =)
The answer is 117 because you do 60 squared plus 100 squared then you find the square root of that product and since it says approximentaly the closest answer would be 117

What is 70/6 as a mixed number

Answers

70/6 is basically saying "divide 70 by 6". So to get to a mixed numer, thats what you have to do.

70/6=11.666666...
(.666666..... is 2/3 as a fraction)

The answer is 11 2/3.


hope i helped!! :))
11 4/6 because 6 can go into 70 11 times and its just 4/6 so 11 4/6