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Finger [1]
3 years ago
14

Hal is asked to write an exponential function to represent the value of a $10,000 investment decreasing at 2% annually. What mul

tiplicative rate of change should Hal use in his function?
0.02
0.98
1.02
1.98
Mathematics
1 answer:
Inga [223]3 years ago
8 0

Answer

The multiplicative rate of change that should be in Hal’s function = 49/50=0.98

                                                                                                                  =9.8×10⁻¹

Explanation

The investment of $10,000 decreases by 2% every year. So the following year is usually (100 - 2)=98% of the previous year. This is a geometric progression.

In this case the first term = 10000

The second term = 98% × 10000 = 9800.

The common ratio = 9800/10000=49/50

The multiplicative rate of change that should be in Hal’s function = 49/50=0.98.

The equation of the exponential rate would be;

10,000ₓ0.98ⁿ.

where n is the number years.

Hope his helps! ;)

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a tree casts a shadow 42 feet long.at the same time, a person 5 feet tall casts a shadow 7 feet long. what is the hight of the t
arlik [135]

Answer:

height of the tree is 30 feet

Step-by-step explanation:

a tree casts a shadow 42 feet long . at the same time, a person 5 feet tall casts a shadow 7 feet long.

shadow of a 5 feet tall person is 7 feet long

Let x be the height of the tree

shadow of a 42 feet tree is x feet long

Make a proportion

\frac{x}{42} =\frac{5}{7}

cross multiply

7x=(42)(5)

7x=210

divide by 7 on both sides

x=30

So height of the tree is 30 feet

4 0
3 years ago
Determine whether the graph represents a proportional relationship. A graph is shown. The x-axis is labeled from 0 to 9. The y-a
brilliants [131]
Propportinal
means that the points are inproportion
ratios
1:3=2:6=3:7
1/3=2/6=3/7
1/3=1/3=3/7
false
therefor it is not poropoortional

another way is to graph the points and see if a straight line can go though all of them
it can go thoruhg the first 3 but not eh 4th pont (3,7)


not proportional
7 0
3 years ago
Read 2 more answers
Plz answer both questions 15 points
anyanavicka [17]

Answer:

If the signs of rational numbers are same, then the answer is positive.

If the signs of rational numbers are different, then the answer is negative.

Step-by-step explanation:

Consider the provided information.

A: When multiplying or dividing rational numbers, when will the answer be positive?

If we are multiplying or dividing rational numbers the answer will be positive if and only if both the rational numbers have same sign.

For example: Multiply 2 and 4.

2×4=8              (same sign)

or

Multiply -2 and -4.

-2×-4=8         (same sign)

8 is a positive rational number.

Now divided 2 and 4.

\frac{2}{4} =\frac{1}{2}    

or

Divided -2 and -4.

\frac{-2}{-4} =\frac{1}{2}

1/2 is a positive rational number.

Hence, If the signs of rational numbers are same, then the answer is positive.

B: When multiplying or dividing rational numbers, when will the answer be negative?

If we are multiplying or dividing rational numbers the answer will be negative if and only if both the rational numbers have different sign.

For example: Multiply 2 and -4.

2×-4=-8              (different sign)

or

Multiply -2 and 4.

-2×4=-8             (different sign)

-8 is a negative rational number.

Now divided 2 and -4.

\frac{2}{-4} =-\frac{1}{2}

or

Divided -2 and 4.

\frac{-2}{4} =-\frac{1}{2}

-1/2 is a negative rational number

Hence,  If the signs of rational numbers are different, then the answer is negative.

3 0
3 years ago
Tell whether the relation is a function. {(-5, -3), (-1, 3), (4, 3), (8, 8)}
VladimirAG [237]

Given:

The relation is {(-5, -3), (-1, 3), (4,3), (8, 8)}.

To find:

Whether the given relation is a function or not.

Solution:

A relation is called a function, if there exist a unique output for each input.

We have, a relation given as

{(-5, -3), (-1, 3), (4,3), (8, 8)}

Here, all x-values are different. So, each x-value has a unique y-value.

Thus, there exist a unique output for each input.

Therefore, the given relation is a function.

8 0
3 years ago
-3a(a? – 10a + 25) =
yan [13]

a
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2
5
2
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a
2
+
10
a
+
5
2
a
2
+
10
a
+
5
2
Check the middle term by multiplying
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a
b
2
a
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and compare this result with the middle term in the original expression.
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=
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4 0
3 years ago
Read 2 more answers
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