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3 years ago

How do you solve this type of problem?

Mathematics

1 answer:

Aleonysh [2.5K]3 years ago

8 0

The price of ticket last year is $ 1231.65

Solution:

Given that,

This year, Sophia paid $1,071 for season tickets to her favorite baseball team , which is 15% cheaper than last year

To find: Price of season ticket last year

Let the price of season ticket last year be "x"

Therefore, according to question

Price of ticket this year is 15 % cheaper than price of ticket last year

1071 = price of ticket last year - 15 % of 1071

1071 = x - 15 % of 1071

Solve the above expression for "x"

$1071 = x - 15 \% \times 1071\\\\1071 = x - \frac{15}{100} \times 1071\\\\1071 = x - 0.15 \times 1071\\\\1071 = x - 160.65\\\\x = 1071 + 160.65\\\\x = 1231.65$

Thus price of ticket last year is $ 1231.65

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The decimal number 11.8 can be read as "eleven and eight tens." True or False

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3 years ago

The function f(x) = 200(0.5)x/50 models the amount in pounds of a particular

victus00 [196]

Answer:

29 years

Step-by-step explanation:

Given the function $f(x)= 200(0.5)^{\frac{x}{50} }$ , where x stands for the number of years since the material was put into the vault, we can plug 140 into x to find the amount leftover.
Another way of doing this is to change the function to $f(x)=200(0.5^{\frac{1}{50} })^{x}$ which are equivalent functions, and then plug 140 into x. This function is helpful if you also needed to find the rate.
I'll use the 1st function because the question doesn't ask for the rate

$f(x)= 200(0.5)^\frac{140}{50}}$

From here I'll just use a calculator & get 28.7, or 29 years.

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2 years ago

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3 years ago

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A pair of flip flops is $30. How much will they cost after a 20% discount and 6.5% tax. Please show your work.

jeka94

Answer:

The flip flops cost $25.56 after the discount and tax.

Step-by-step explanation:

A pair of flip flops is $30. This is our starting amount.

The tax will be applied on the price the flip flops are bought for. This means we must apply the discount first.

The discount is 20%. Let's find what the flip flops were sold for.

If the discount is 20%, the flip flops were sold for 80% of their original price. Let's find 80% of 30.

80% of 30 = ?

0.80 • 30 = ?

= 24

The flip flops were sold for $24.

Now we have to apply a 6.5% tax. To find the amount of money added to the total, we need to find 6.5% of 24.

6.5% of 24 = ?

0.065 • 24 = ?

= 1.56

The tax was $1.56.

We need to add the tax to the discounted price.

1.56 + 24 = ?

= 25.56

The flip flops cost $25.56 after the discount and tax.

Hope this helps!

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