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2 years ago

14

A caterer charges a setup fee of $50, plus $20 per person. How much will the caterer charge if 35 people attend the party, and t

he customer has a coupon for $100 off the total?

1 answer:

tiny-mole [99]2 years ago

3 0

Answer:

$650

Step-by-step explanation:

35 people x $20 per person = $700

$700 + $50 set up fee = $750 dollars total

$750 - $100 coupon = $650

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Use a linear approximation (or differentials) to estimate the given number. (Round your answer to five decimal places.) 3 217

Soloha48 [4]

Answer:

$f(216) \approx 6.0093$

Step-by-step explanation:

Given

$\sqrt[3]{217}$

Required

Solve

Linear approximated as:

$f(x + \triangle x) \approx f(x) +\triangle x \cdot f'(x)$

Take:

$x = 216; \triangle x= 1$

So:

$f(x) = \sqrt[3]{x}$

Substitute 216 for x

$f(x) = \sqrt[3]{216}$

$f(x) = 6$

So, we have:

$f(x + \triangle x) \approx f(x) +\triangle x \cdot f'(x)$

$f(215 + 1) \approx 6 +1 \cdot f'(x)$

$f(216) \approx 6 +1 \cdot f'(x)$

To calculate f'(x);

We have:

$f(x) = \sqrt[3]{x}$

Rewrite as:

$f(x) = x^\frac{1}{3}$

Differentiate

$f'(x) = \frac{1}{3}x^{\frac{1}{3} - 1}$

Split

$f'(x) = \frac{1}{3} \cdot \frac{x^\frac{1}{3}}{x}$

$f'(x) = \frac{x^\frac{1}{3}}{3x}$

Substitute 216 for x

$f'(216) = \frac{216^\frac{1}{3}}{3*216}$

$f'(216) = \frac{6}{648}$

$f'(216) = \frac{3}{324}$

So:

$f(216) \approx 6 +1 \cdot f'(x)$

$f(216) \approx 6 +1 \cdot \frac{3}{324}$

$f(216) \approx 6 + \frac{3}{324}$

$f(216) \approx 6 + 0.0093$

$f(216) \approx 6.0093$

6 0

3 years ago

A cereal brand is on sale $2 for 32 oz. If Sally spent $8 on the cereal, how many ounces did she purchase?

Lelechka [254]

Answer:

it would be 128 because 8 divded 2 is 4. 4 is the number of cereal boxes now multiply 4 x32 which would be 128

3 0

3 years ago

Read 2 more answers

(will give brainliest!)

Flura [38]

Answer:

D) cot(C) = 1/2.

Step-by-step explanation:

We can go through each choice and examine is validity.

Choice A)

We have:

$\displaystyle \sec B=\frac{3}{7}$

Recall that secant is the ratio of the hypotenuse to the adjacent.

With respect to B, the adjacent is 6 and the hypotenuse is 7.

Therefore, sec(B) should be 7/6 instead.

A is incorrect.

Choice B)

We have:

$\displaystyle \cot B=\frac{3}{2}$

Cotangent is the ratio of the adjacent side to the opposite.

With respect to B, the adjacent side is 6 and the opposite side is 3.

Therefore, cot(B) = 6/3 = 2.

B is incorrect.

Choice C)

C is incorrect for the reasons listed in A.

Choice D)

We have:

$\displaystyle \cot C=\frac{1}{2}$

Again, cotangent is the ratio of the adjacent side to the opposite.

With respect to C, the adjacent side is 3 and the opposite side is 6.

So, cot(C) = 3/6 = 1/2.

Therefore, D is the correct choice!

8 0

3 years ago

For her cellular phone service, Vera pays $32 a month, plus 0.75 for each minute over the allowed minutes in her plan. Vera rece

ololo11 [35]

Answer:

one months bill would be $32+$0.75X=$47 X= minutes use over given time.

X= 20

Step-by-step explanation:

6 0

3 years ago

A florist had 88 flowers. She wanted to put

EastWind [94]

Answer:

2 (Remainder 4) In decimal form to the hundredths: 2.09

Step-by-step explanation:

<h3>42 can only go into 88 two times, so 42 x 2 = 84. So then 2 is your answer. BUT you have 4 left, so it's 2 remainder 4. If you want to round to the tenths, hundredths, ect, here is the original decimated number: 2.09523809524</h3>

4 0

2 years ago