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Lubov Fominskaja [6]
4 years ago
8

A tutoring agency charges $20 for study materials, plus $40 an hour for tutoring. which function can be used to find the total c

ost T(h) of h hours of tutoring
Mathematics
2 answers:
maksim [4K]4 years ago
8 0

Answer:

t(h)= 40h + 20

Step-by-step explanation:

hope this helps

Brrunno [24]4 years ago
3 0

Answer:

T(h) = 20 + 40h

Step-by-step explanation:

Alright, so let's start off.

No matter how many hours a person gets tutored for, there's always the $20 as a baseline for study materials. So, the $20 MUST be included in our equation, which looks like this for now:

T(h) = 20

Every hour, $40 is added onto the expense.

For example, if a person was tutored for two hours, it would cost them $20 + 2(40) = $100.

This can be signified in the equation as

T(h) = 20 + 40h

And, that's your equation! :)

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An exponential model is used to represent growth of a population

The population after 3 years is 2585

The function is given as:

\mathbf{P(x) = 2400(1.025)^x}

<em>3 years after</em>, means that x = 3

So, we have:

\mathbf{P(3) = 2400(1.025)^3}

Evaluate exponents

\mathbf{P(3) = 2400 \times 1.076890625}

\mathbf{P(3) = 2584.5375}

Approximate

\mathbf{P(3) = 2585}

Hence, the population after 3 years is 2585

Read more about population growth at:

brainly.com/question/3160736

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3 years ago
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Answer:

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3 years ago
Describe the effect an increase in i, the interest rate applied to the present value, has on the monthly payment P in the formul
VARVARA [1.3K]

Answer:

B. An increase in i, the interest rate, will create an increase in P, the monthly payment.

Step-by-step explanation:

We have the formula for the monthly payment as,

P=\frac{i \times PV}{1-(1+i)^{-n} },

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Now, as i increase we get that (1+i) increases and so (1+i)^{n} increases.

This gives us that, \frac{1}{(1+i)^{n} } decreases and so 1-\frac{1}{(1+i)^{n}} decreases

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So, we get that as i increases , the value of P will increase.

Hence, option B is correct.

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valentinak56 [21]

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3 years ago
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