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Andre45 [30]
3 years ago
11

Write an exponential function in the form y=ab^x that goes through points (0, 3) and (4, 48).

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
7 0

Step-by-step explanation:

If you need to a graph then

Since (0,6) is on the graph of y = a(bx), 6 = a(b0).  So, a = 6.

y = 6bx

Since (5, 1458) is on the graph, 1458 = 6b5.

b5 = 243.  So, b = 3.

The function is y = 6(3)x.

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Alice Smith bought a clothes dryer that retailed for $325 . She received a 15% discount because she works at the store where she
r-ruslan [8.4K]

Answer:

296.97

Step-by-step explanation:

Remark

The first thing you have to realize is that you take the discount before you add the sales tax.

Discount

If she receives a 15% discount, she still pays 85% of the full price.

85/100 * 325 = 276.25

Sales Tax

A sales tax is only added on after a goods or service has been determined and agreed upon by the buyer and seller.

The sales tax can be calculated quickly by adding the decimal equivalent onto 1 and multiplying that by the discounted amount.

1 + 7.5% = 1 + 7.5/100 = 1 + 0.075 = 1.075     deriving the discount amount

Cost

Cost = discounted price * 1.075                    Substitute in Formula

Cost = 276.25 * 1.075                                    Simplify

Cost = 296.97                                                Answer

3 0
3 years ago
AN ICE CREAM STORE IS CONDUCTING A SURVEY ASKING CUSTOMERS TO RANK THE TOP 5 OUT OF 10 NEW FLAVORS INTRODUCED THIS YEAR. HOW MAN
katrin2010 [14]
The problem given above can be solved through the concept of permutation because of the importance of the arrangements. This may be solved through calculators directly by keying in,
                                       10P5
That is, the permutation of 10 taken 5. The answer to this permutation is 30,240. 
3 0
3 years ago
What is an equation of a circle with center (2,7) and radius 4?
enot [183]

the equation is (x - 2)^2 + (y - 7)^2 = 16

3 0
4 years ago
What is the value of x
Crank

Answer:

Step-by-step explanation:

Looking at the diagram,

Line DT is parallel to line line BM, therefore, triangle DHT is similar to triangle BHM. This means that

DH/DB = TH/MH

DH = 15 + 6 = 21

TH = 9 + x

Therefore

(9 + x)/21 = 9/6

Cross multiplying, it becomes

6(9 + x) = 21 × 9 = 189

54 + 6x = 189

Subtracting 54 from the left hand side and the right hand side of the equation, it becomes

6x + 54 - 54 = 189 - 54

6x = 135

Dividing the left hand side and the right hand side of the equation by 6, it becomes

6x/6 = 135/6

x = 22.5

5 0
4 years ago
Read 2 more answers
last week the price of oranges at the farmers market was $1.75 per pound this week a price has decreased by 20% what is the pric
Nuetrik [128]

Answer:

Find out the what is the price of oranges this week .

To prove

As given

last week the price of oranges at the farmers market was $1.75 per pound.

This week a price has decreased by 20% .

20% is written in the decimal form

= \frac{20}{100}

= 0.20

Decreased in the price = 0.20 × 1.75

                                       = $0.35

The price of oranges this week = Price of orange at last week - Decreased in the price

                                                     = $1.75 - $0.35

                                                     = $ 1.4

Therefore the  price of oranges this week is $1.4 .


6 0
3 years ago
Read 2 more answers
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