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baherus [9]
2 years ago
5

Choose among these options the one that results in a graph that shows exponential decay. A. f(x) = 0.6(2)x B. f(x) = 3(0.7)x C.

f(x) = 0.4(1.6)x D. f(x) = 20(3)x
Mathematics
1 answer:
emmainna [20.7K]2 years ago
7 0
B. f(x) = 3(0.7)ˣ
Decay means an overall decrease in the original value. Exponential equations are written in the form:
amount after time n = original amount x (decay OR increase factor)ⁿ
The value of the factor is less than one in the case of a decay.
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Ab-0.5bab−0.5ba, b, minus, 0, point, 5, b when a=1a=1a, equals, 1 and b=5b=5
barxatty [35]

Answer:

  2.5

Step-by-step explanation:

Put the values in place of the corresponding variables and do the arithmetic:

  ab - 0.5b = (1)(5) -0.5(5) = 5 - 2.5 = 2.5

4 0
3 years ago
Ms. Parker baked 6 dozen cookies. She gave 2 dozen cookies to her sister, 1 À dozen
Lyrx [107]

Answer:

Step-by-step explanation:

She gave out three dozen and she had six dozen so she has three dozen left three dozen 3 * 12 she has 36 cookies

6 0
3 years ago
Use distributive property to rewrite 10(5+14-3)
Allisa [31]
(10x5)+(10x14)+(10x-3)
50+140-30
160
7 0
3 years ago
A spice store charges $2.75 for 25 grams of paprika. It also charges 5% of the purchase price for shipping any order
zlopas [31]

Answer:

Part a) The expression is 3.2445x

Part b) Customer cannot buy 2.5 ounces of paprika and have it shipped for less than $8.00

Step-by-step explanation:

<u><em>The complete question is</em></u>

A spice store charged 2.75 for 25 grams of paprika. It also charges 5% of the purchase price for shipping any order.

Part a)  Write and simplify an expression to determine the cost of buying and shipping x ounces of paprika. Use 1 ounce = 28 grams

Part b) Can a customer buy 2.5 ounces of paprika and have it shipped for less than 8.00? Explain

step 1

Convert grams to ounces

Remember that

1\ oz=28\ g

To convert grams to ounces divide by 28

25\ g=25/28= 0.89\ oz

The unit price is

2.75/0.89=3.09\frac{\$}{oz}

Let

x ----> the number of ounces of paprika

y ----> the cost of buying and shipping x ounces of paprika

5%=5/100=0.05

y=3.09x+(3.09x)0.05\\y=3.09x[1+0.05]\\y=3.2445x

Part b) For x=2.5 oz

substitute in the equation

y=3.2445(2.5)=\$8.11

\$8.11 > \$8.00

therefore

Customer cannot buy 2.5 ounces of paprika and have it shipped for less than $8.00

3 0
2 years ago
A square field has an area of 144 metres squared. If Andrea walked 10 times around this field, what distance did she cover?
Novosadov [1.4K]

Answer:

480m

Step-by-step explanation:

First we have to find the perimeter of the field.

We know that the area is 144m and that the field is a square.

Since a squares sides are all equal, we can do \sqrt{144}, which is 12m.

So, one side of the field is 12m; now we just find the perimeter which is easy since its a square. 12*4=48m

If Andrea walked around it 10 times, then we just multiply the perimeter by 10

48*10=480m

7 0
2 years ago
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