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adelina 88 [10]
3 years ago
14

Amy will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $38 and costs an addi

tional $0.12 per mile driven. The second plan has an initial fee of $51 and costs an additional $0.08 per mile driven.
Mathematics
1 answer:
mars1129 [50]3 years ago
6 0

Answer:

The first plan would be cheaper

Step-by-step explanation:

Lets say she drives 12 miles. Write an equation y=0.12x+38 then substitute the x with 12:

y=0.12(12)+38

y=1.44+38

y=39.44

Now you have to write a new equation for the second plan y=0.08x+51 and substitute x with 12:

y=0.08(12)+51

y=.96+51

y=51.96

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Solve the equation. Round to the nearest hundredth. Show work.
denis-greek [22]

Answer:

Final answer is approx x=-0.66.

Step-by-step explanation:

Given equation is 5^{-2x-1}=4^{4x+3}.

Now we need to solve equation 5^{-2x-1}=4^{4x+3} and round to the nearest hundredth.

5^{-2x-1}=4^{4x+3}

\log(5^{-2x-1})=\log(4^{4x+3})

(-2x-1)\log(5)=(4x+3)\log(4)

-2x \log(5)- \log(5)=4x \log(4)+3 \log(4)

-2x \log(5) -4x \log(4)=3 \log(4) +\log(5)

x=\frac{\left(3\log(4)+\log(5)\right)}{\left(-2\log(5)-4\log(4)\right)}

Now use calculator to calculate log values, we get:

x=-0.65817959094

Round to the nearest hundredth.

Hence final answer is approx x=-0.66.

8 0
3 years ago
Divide £208 in the ratio 3:1<br><br> How do I do this??
inysia [295]

Answer:

s = r1 s = 3.1 s = 3.1

or

v =a/s

v = 208/3.1

v = 67.0968

Step-by-step explanation:

3 0
3 years ago
PLEASE HELP ME!! I WILL GIVE U BRAINLIEST
Anvisha [2.4K]

Answer:

Step-by-step explanation:the anwser is the middle one

5 0
3 years ago
PLEASE HELP!! I’LL MAKE YOU BRAINIEST!
Leokris [45]

Answer:

1. Markup: $2.70, Retail: $20.70

2. Markup: $9.45, Retail: $31.95

3. Markup: $25.31, Retail: $59.00

4. Markup: $24.75, Retail: $99.74

5. Markup: $48.60, Retail: $97.20

6. Markup: $231.25, Retail: $416.25

Step-by-step explanation:

To get the markup price of an item, multiply it by the markup percentage as a decimal. To get the decimal of a percentage, divide the number by 100. For example, 15% would be 0.15. And then to find how much the item has been marked up by, multiply the current price by the decimal.

$18 * 0.15 = $2.70

So $2.70 is the markup. To find the retail price, you need to add the markup price to the current price given.

$18 + $2.70 = $20.70

So your retail price is $20.70. Repeat these steps for each question to get the answers above.

Hope this helps.

7 0
3 years ago
the table shows the types of popcorn buckets sold at a concession station for one day. what percent of the buttered popcorn buck
vlada-n [284]
Hi there! The answer is about 23%

First we need to find the total amount of buttered popcorn sold. This is 182 + 140 + 97 = 419 buckets.

To find the percentage of the buttered popcorn buckets that were large, we use the following formula:
\frac{part}{total} \times 100\%

Filling in this formula brings us to our answer:
\frac{97}{419} \times 100\% = 23.15
Hence, the answer is about 23%
7 0
3 years ago
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