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3 years ago

PLEASE HELP ASAP.

Mathematics

2 answers:

Lemur [1.5K]3 years ago

7 0

15% decrease is the answer

Margaret [11]3 years ago

4 0

Answer:

15% decrease

Step-by-step explanation:

The appropriate formula is ...

(percentage change) = (amount of change)/(original value) × 100%

Where the amount of change is ...

(amount of change) = (new value) - (original value)

___

Putting these two formulas together, we get ...

(percentage change) = ((new value) - (original value))/(original value) × 100%

Another way to write the same formula is ...

(percentage change) = ((new value)/(original value) - 1) × 100%

_____

Filling in the numbers you have, you get ...

(percentage change) = (17 - 20)/20 × 100%

= -3/20 × 100%

= -15%

When the percentage change is negative, it means the change was a decrease.

Here, you know the change is a decrease and you just want to know the amount of decrease. That amount is a 15% decrease.

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The graph of x < 3 or x > 5 would look like:

Nuetrik [128]

Answer:

Solution in photo

Step-by-step explanation:

3 0

3 years ago

Find the sum of the geometric series 40 + 40(1.005) + 40(1.005)^2 + ⋯ + 40(1.005)^11.

KiRa [710]

Answer:

The sum is 493.4

Step-by-step explanation:

In order to find the value of the sum, you have to apply the geometric series formula, which is:

$\sum_{i=1}^{n} ar^{i-1} = \frac{a(1-r^{n})}{1-r}$

where i is the starting point, n is the number of terms, a is the first term and r is the common ratio.

The finite geometric series converges to the expression in the right side of the equation. Therefore, you don't need to calculate all the terms. You can use the expression directly.

In this case:

a=40

b= 1.005

n=12 (because the first term is 40 and the last term is 40(1.005)^11 )

Replacing in the formula:

$\frac{a(1-r^{n})}{1-r} = \frac{40(1-1.005^{12})}{1-1.005}$

Solving it:

The sum is 493.4

4 0

3 years ago

Changing Bases to Evaluate Logarithms in Exercise, use the change-of-base formula and a calculator to evaluate the logarithm. Se

son4ous [18]

Answer:

The question is incomplete, the complete question is "Changing Bases to Evaluate Logarithms in Exercise, use the change-of-base formula and a calculator to evaluate the logarithm. See Example 9. $log_{4}7$ .

$log_{4}7=1.404\\$

Step-by-step explanation:

From the general properties or laws of logarithm, we have the

$log_{a}b=\frac{logb}{loga} \\$

where both log are now express in the natural logarithm base.

i.e $log_{a}b=\frac{lnb}{lna}\\$

hence we can express our $log_{4}7=\frac{ln7}{ln4} \\$ .

the value of ln7 is 1.9459 and ln4 is 1.3863

Hence $log_{4}7=\frac{ln7}{ln4}=\frac{1.9459}{1.3863}\\$ .

$log_{4}7=1.404\\$

6 0

3 years ago

PLZ HELP QUICKLY!!!!!!!

Serjik [45]

To complete the square (x+2/5)^2 it would be x^2+(4/5)x+4/25

8 0

3 years ago

Read 2 more answers

Describe the transformations of f(x) when compared to the parent function [y = x2]. f(x) = x2+5

Debora [2.8K]

Parent Function: f(x)=x^2
Horizontal Shift: Right 5 Units
Vertical Shift: Up 3 Units
Reflection about the x-axis: None
Reflection about the y-axis: None
Vertical Compression or Stretch: None

7 0

3 years ago