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4 years ago

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Michael bought a car for $15,540. He estimates that the car will depreciate by 5% each year. Which function represents this situ

ation? *

1 answer:

Delicious77 [7]4 years ago

6 0

Answer: $f(x) =15540(0.95)^x$

Step-by-step explanation:

Given , Micheal bought a car for $15,540.

Rate of depreciation = 5% = 0.05 { To convert a percentage into decimal or fraction , we divide it by 100]

The exponential function used to show depreciation in amount or value ina time period of 'x' is given by :-

$f(x)=A(1-r)^x$

, where A = Initial value

r= rate of depreciation.

As per given , we have

A= $15,540

r= 0.05

Then , Required function : $f(x)=15540(1-0.05)^x=15540(0.95)^x$

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Find the area and perimeter of the shape below. Be sure to label your answer and shor<br> your work!

Ray Of Light [21]

Answer:

Área: 26m2 Perimeter:22m

Step-by-step explanation:

Área: (b1=8 + b2=5)•h=4

13•4 =52 /2 =26

Perimeter: 5+5+4+8=22

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3 years ago

I need help on this question ASAP. Please.

Aleks04 [339]

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3 years ago

Read 2 more answers

Drag each expression to show whether the product is less than 1

barxatty [35]

Equal to 1:

$3*\frac{1}{3}\ \ , \ \ 5*\frac{1}{5}\ \ , \ \6*\frac{1}{6}$

Less than 1:

$1*\frac{5}{6}$

Greater than 1:

$2 * \frac{3}{4} \ \ , \ \ \ 3 * \frac{2}{5}$

Step-by-step explanation:

We will solve each product one by one.

So,

$3*\frac{1}{3} = 1\\\\6*\frac{1}{6} = 1\\\\2 * \frac{3}{4} = \frac{3}{2}\\\\1*\frac{5}{6} = \frac{5}{6}\\\\3*\frac{2}{5} = \frac{6}{5}\\\\5*\frac{1}{5} = \frac{1}{5}$

As we have all the answers now.

If the denominator of a fraction is greater than ts numerator then the result is less than 1
If the denominator of a fraction is less than its numerator then the result is greater than 1.

So,

Equal to 1:

$3*\frac{1}{3}\ \ , \ \ 5*\frac{1}{5}\ \ , \ \6*\frac{1}{6}$

Less than 1:

$1*\frac{5}{6}$

Greater than 1:

$2 * \frac{3}{4} \ \ , \ \ \ 3 * \frac{2}{5}$

Keywords: Fractions, decimals

Learn more about fractions at:

#LearnwithBrainly

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3 years ago

If 6 cards are drawn at random from a standard deck of 52 cards, what is the probability that exactly 2 of the cards are spades?

nataly862011 [7]

Answer:

<em>The probability of getting exactly 2 of the cards are spades out of 6 cards will be </em><em>0.315</em>

Step-by-step explanation:

6 cards are drawn at random from a standard deck of 52 cards.

The number ways 6 cards can be drawn from a deck of 52 cards will be,

$=\ ^{52}\text{C}_6=20358520$

In a deck of 52 cards, 13 cards are of spades. So drawing 2 spades out of 13 is,

$=\ ^{13}\text{C}_2=78$

As exactly 2 must be spades, so the remaining 4 cards must be drawn from other 39 cards of other suits. This can be done in,

$=\ ^{39}\text{C}_4=82251$

The probability of getting exactly 2 of the cards are spades out of 6 cards will be,

$=\dfrac{\ ^{13}\text{C}_2\times ^{39}\text{C}_4}{\ ^{52}\text{C}_6}=\dfrac{78\times 82251}{20358520}=0.315$

4 0

3 years ago

Question 6 of 9 (3•8) • 1 = 3 • (8.1) O A. True B. False

olga nikolaevna [1]

Answer:

No, (false). The question I assume was: $(3*8)*1=3*(8.1)$

Step-by-step explanation:

1. Multiple: 3 * 8 = 24

2. Multiple: <em><u>The result of step No. 1:</u></em> * 1 = 24 * 1 = 24

3. Conversion a decimal number to a fraction: 8.1 = $\frac{81}{10}$ = $\frac{81}{10}$

a) Write down the decimal 8.1 divided by 1: 8.1 = $\frac{81}{1}$

b) Multiply both top and bottom by 10 for every number after the

decimal point. (For example, if there are two numbers after the decimal

point, then use 100, if there are three then use 1000, etc.)

$\frac{8.1}{1}$ = $\frac{81}{10}$

Note: $\frac{81}{10}$ is called a decimal fraction.

c) Simplify and reduce the fraction

$\frac{81}{10} = \frac{81*1}{10*1} = \frac{81}{10}$

4. Multiple: 3 * 8.1 = $\frac{3*81}{1*10}$ = $\frac{243}{10}$

Multiply both numerators and denominators. Result fraction keep to lowest

possible denominator GCD(243, 10) = 1. In the next intermediate step the

fraction result cannot be further simplified by canceling.

In words - three multiplied by eighty-one tenths = two hundred forty-three

tenths.

5. Compare: <em><u>The result of step No. 2 </u></em>vs <em><u>The result of step No. 4</u></em>: = 24 vs $\frac{243}{10}$ = $\frac{24}{1}$ vs $\frac{243}{10}$ = $\frac{24*10}{1*10}$ vs $\frac{243}{10}$ = $\frac{240}{10}$ vs $\frac{243}{10}$ = 240 vs 243 = No

5 0

4 years ago