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Komok [63]
3 years ago
5

The Johnsons spent a total of ​$69.96 for dinner at their favorite restaurant last night. If this cost included a ​20%​ tip, how

much did the dinner cost before​ tip?
Mathematics
1 answer:
enyata [817]3 years ago
5 0
It would be 55.97

To find this you find what 20% of 69.96 is and subtract that number from 69.96 (in this case that number would be 13.99) So you would find your answer of 55.97
You might be interested in
What is true of the coefficient of​ variation?
DedPeter [7]

Answer:

A. The coefficient of variation is best used when comparing two data sets that use the same units of measure.

Step-by-step explanation:

The coefficient of variation (CV), is simply the standard deviation (itself a measure of variance or variation) relative to the mean of a distribution.

The coefficient of variation expresses a random variable’s variability in percentage terms. Therefore it is possible, through the coefficient of variation, to compare the variability of data across different samples, especially if the random variables are recorded in different units of measurement (such as cm, kg and minutes).

A coefficient of variation is always interpreted as a percentage. <u>Mathematical representation is:</u>

Coefficient\ of\ variation\ = \frac{Standard\ deviation}{Mean}\ \%

The coefficient of variation is best used when comparing two data sets that use the same units of measure.

Hence, the option (A) is the correct option.

5 0
3 years ago
The function = 3describes the volume of a cube, , in cubic inches, whose length, width, and height each measure inches. Find the
kolezko [41]

The correct structure of the question is as follows:

The function f(x) = x^3 describes a cube's volume, f(x) in cubic inches, whose length, width, and height each measures x inches. If x is changing, find the (instantaneous) rate of change of the volume with respect to x at the moment when x = 3 inches.

Answer:

Step-by-step explanation:

Given that:

f(x) = x^3

Then;

V = x^3

The rate whereby V is changing with respect to time is can be determined by taking the differentiation of V

dV/dx = 3x^2

Now, at the moment when x = 3;

dV/dx = 3(3)^2

dV/dx = 3(9)

dV/dx = 27 cubic inch per inch

Suppose it is at the moment when x = 9

Then;

dV/dx = 3(9)^2

dV/dx = 3(81)

dV/dx = 243 cubic inch per inch

6 0
3 years ago
Seth has a bank account which pays 1.01% interest, compounded quarterly. Seth withdraws $4,567 from the account every quarter fo
dimulka [17.4K]

Answer:

C. $538,021.66

Step-by-step explanation:

It is given that the money Seth withdraws was compounded every quarter for 35 years. So, we get,

Amount withdrawn every quarter, P = $4567

Rate of interest, r  = \frac{0.0101}{4} = 0.002525

Time period, n = 35 × 4 = 140

Now, as we know the formula for annuity as,

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

where P = installments, PV = present value, r = rate of interest and n = time period.

This gives, PV=\frac{P \times [1-(1+r)^{-n}]}{r}

i.e. PV=\frac{4567 \times [1-(1+0.002525)^{-140}]}{0.002525}

i.e. PV=\frac{4567 \times [1-(1.002525)^{-140}]}{0.002525}

i.e. PV=\frac{4567 \times [1-0.7021]}{0.002525}

i.e. PV=\frac{4567 \times 0.2975}{0.002525}

i.e. PV=\frac{1358.68}{0.002525}

i.e. PV=538,091.08

So, the closest answer to initial value of the account is $538,021.66

Hence, option C is correct.

6 0
3 years ago
Read 2 more answers
Please help ASAP thanks
hjlf

Answer:

x = 2.5 inches. Or

x = 5/2

Step-by-step explanation:

Length: 7 + 2x

Width: 5 + 2x

Note that you have to add x at each end of the picture and onto each part of the width.

The entire area is 120 square inches.

Formula

L*W = Area

(2x + 7)(2x + 5) = 120

Solution

4x^2 + 10x + 14x + 35 = 120                Subtract 120 from both sides. Add xs

4x^2 + 24x + 35 - 120 = 0

4x^2 + 24x - 85 = 0                             Factor

(2x + 17)(2x - 5)

2x + 17 has no meaning. It will give -  8.5 which is not possible.

2x - 5 =0

2x = 5                                                  Divide by 2

x = 5/2

x = 2.5

Note: I don't know which one the computer is looking for.

8 0
3 years ago
Read 2 more answers
Help pls, will give brainliest<br><br> Simplify 2^3 x 2^18
kap26 [50]

Answer:

it is 2^21

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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