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3 years ago

Ibought a new shirt at the store for $30. If the tax is 10%, how much is the tax? And how much did I

Mathematics

1 answer:

Vikentia [17]3 years ago

5 0

Answer:

Tax = 3$

Tot Cost = 33$

Step-by-step explanation:

10% of 30$ is 3$

(0.10 * 30 = 3)

the tax is 3$

30$ + 3$ = 33$

the total cost is 33$

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A bank features a savings account that has an annual percentage rate of 3.5% with interest compounded quarterly. Vanessa deposit

vazorg [7]

Answer:

APY = 0.04 or 4%

Step-by-step explanation:

Given the annual percentage rate of 3.5% that is compounded quarterly, and a principal of $6,500:

We can use the following formula to solve for the annual percentage yield (APY):

$APY = (1 + \frac{r}{n})^n - 1$

where r = interest rate = 3.5% or 0.035

n = number of compounding periods per year = 4

We can plug in the values into the equation:

$APY = (1 + \frac{r}{n})^n - 1$

$APY = (1 + \frac{.035}{4})^4 - 1$

$APY = (1 + 0.00875)^4 - 1$

$APY = (1.00875)^4 - 1$

APY = 1.03546 - 1

APY = 0.04 or 4%

8 0

3 years ago

A wooden board has a volume of 0.225 cubic m and a mass of 146.25 kilograms.

Triss [41]

Answer:

650 kg/m³

Step-by-step explanation:

The density is the ratio of mass to volume. The volume is the product of the dimensions of the prism.

density = (146.25 kg)/((1.5 m)(0.75 m)(0.2 m)) = 146.25/0.225 kg/m³

= 650 kg/m³

Hope this answer helps you :)

Have a great day

Mark brainliest

5 0

3 years ago

If you want to be 95% confident of estimating the population mean to within a sampling error of plus or minus3 and the standard

Aleksandr [31]

Answer:

The sample size required is at least 171

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

What sample size is required?

A samle size of at least n is required, in which n is found when $M = 3, \sigma = 20$

$M = z*\frac{\sigma}{\sqrt{n}}$

$3 = 1.96*\frac{20}{\sqrt{n}}$

$3\sqrt{n} = 20*1.96$

$\sqrt{n} = \frac{20*1.96}{3}$

$(\sqrt{n})^{2} = (\frac{20*1.96}{3})^{2}$

$n = 170.7$

Rouding up

The sample size required is at least 171

5 0

3 years ago

Plato combining functions mastery test please help

just olya [345]

Answer:

Choice: B.

Step-by-step explanation:

Operations With Functions

Given the functions:

$f(x)=\sqrt[3]{12x+1}+4$

$g(x)=\log(x-3)+6$

The function (g-f)(x) can be obtained by replacing both functions and subtracting them as follows:

$(g-f)(x)= g(x) - f(x)$

$(g-f)(x)= \log(x-3)+6 - (\sqrt[3]{12x+1}+4)$

Operating:

$(g-f)(x)= \log(x-3)+6 - \sqrt[3]{12x+1}-4$

Joining like terms:

$\boxed{(g-f)(x)= \log(x-3) - \sqrt[3]{12x+1}+2}$

Choice: B.

7 0

3 years ago

Read 2 more answers

Question 18 of 25

Pani-rosa [81]

Step-by-step explanation:

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bsvsbwvqcfsgfafautaufayrayystacayfsugs7y7ay7auq

7 0

3 years ago