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iVinArrow [24]
3 years ago
10

Write an exponential function to represent a situation in which the initial value is 175 and the rate of decay is 20%

Mathematics
1 answer:
AleksAgata [21]3 years ago
6 0

Answer:


Step-by-step explanation:

F(X)=(1/5)^T/175

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Explain how to solve 5^(x-2)=8 using log base b of y equals log y over log b. include the solution for x in your answer. round y
miskamm [114]

The value of x will be equal to 2.477.

<h3>What is a logarithm?</h3>

The logarithm is the inverse function of exponentiation in mathematics. That is, the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised in order to obtain that number x.

The given expression will be solved as follows;-

5^{x-2}= 8

Taking Log on both sides.

Log_e 5^{x-2}=Log_e8

(x-2) Log5 = Log 8

( x-2) = Log8 / Log 5

(x - 2) = Log 8 - Log 5

(x - 2 ) = Log 3

x-2 = 0.477

x  =  2.477

Therefore the value of x will be equal to 2.477.

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5 0
2 years ago
Steve paid 10% tax on a purchase of $40. Select the dollar amount of the tax and the total dollar amount Steve paid.
marta [7]
Amount of purchase that Steve made = $40
Percentage of tax that Steve needs to pay = 10%
Then
Amount of tax that Steve needs to pay for the purchase = (10/100) * 40
                                                                                          = 1 * 4 dollars
                                                                                          = 4 dollars
Then
The total amount including tax
that Steve needs to pay for the purchase = (40 + 4) dollars
                                                                   = 44 dollars
So the dollar amount of tax that Steve had to pay is $4 and the total amount that Steve had to pay was $44.

4 0
3 years ago
Jan and Col club together a book of raffle tickets. They agree to share any prize they win in the ratio 2:3. When they win Jan g
nikitadnepr [17]

Answer:

  • £15

Step-by-step explanation:

For every £2 Jan gets, Cole gets £3.

10 ÷ 2 (Jan) × 3 (Cole) = 15

3 0
2 years ago
(3 to the power of 2) + (5 − 2) ⋅ 4 − 6 over 3
Oduvanchick [21]
Do parentheses first: 9+7x4-6/3 then multiplication/division: 9+28-2 then addition/subtraction: =35
4 0
3 years ago
Read 2 more answers
(2^2 + 8) x 7 solve the following problem​
tekilochka [14]

Answer:

84

Step-by-step explanation:

2^2=4

4 + 8=12

12 times 7= 84

7 0
3 years ago
Read 2 more answers
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