how much does a customer pay for article marked at $50.00 if a sales tax of 6% is charged​

Answer:

account balance at graduation is 674.17

Step-by-step explanation:

given data

deposit money P  =  500

interest rate = 3 % compounded quarterly

we take time period = 10 year ( 2nd grade to 12 grade)

solution

we apply here compound interest formula that is

amount = [tex]P \times (1+\frac{r}{4})^{4t}[/tex]      ..................1

put here value and we get

amount = [tex]500 \times (1+\frac{0.03}{4})^{4\times 10}[/tex]

amount = 674.174

so account balance at graduation is 674.17

Answer:

$694.63

Step-by-step explanation:

The formula is p(1+r/n)^tn. P, or the principal amount, is 500 dollars. R, or the rate as a decimal, is 0.03. N, or the number of times compounded yearly, is 4. T, or the time in years, is 11, since there are 11 years from grade 2 to grade 12. 12-2+1=11. Now, plug in the information given. 500(1+0.03/4)^4*11 = 500(1.0075)^44 = 694.63 dollars, rounded to the nearest cent.

Answer:

8 miles he will walk in 2 hours

Step-by-step explanation:

This is because there are four 15 minute sets in one hour meaning in two hours you will encounter 8 of these sets.

Answer:

8 miles

Step-by-step explanation:

we can get the answer using the distributive property, if we multiply 4 by 15 we get 60 and 60 minutes is an hour so if we do that twice we get 2 hours so now that we've done that we will do the same with the mileage by multiplying the amount we did to the time to the distance and we get 8 miles

Answer:

D for sure

Step-by-step explanation:

i dont know if you have time for this so i explain it in the comments if you need it

Answer:

the answer is D

Step-by-step explanation:

Answer:

Step-by-step explanation:

vertex form   y = (x-h)^2 + k      and vertex is at  ( h, k)

the problem has   y = x^2 + 5

then  y = (x - 0)^2 + 5    the vertex is at  ( 0 , 5)  

shift that to the right 3 , then

y = ( x - 3)^2 + 5     now the vertex is at (3,5)    nice

now shift to the left 10  ( to the left is sooner, to the right is later , that why we subtract to go right and add to go left)

y = ( x + 10 )^2 + 5    now the vertex is at ( -10, 5 )    or shifted 10 left

:)

Answer:

26

Step-by-step explanation:

24²+10²=x²

676=x²

x=√676

x=26

Pythagorean theorem

Answer:

The correct answer is 10 hope this helps can u pls give me brainliest

Step-by-step explanation:

The solution of the given expression is 10.

Usually, simplification involves proceeding with the pending operations in the expression. Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form.

A Simplification usually involves making the expression simple and easy to use later.

WE have been given 2 [ 32 - (4-1) to the third power ]

Solving it further;

2 [ 32 - (4-1) to the third power ]

2 [ 32 - (4-1)^{3} ]

2 [ 32 - (3)^{3} ]

2 [ 32 - 27 ]

2 [5]

10

Therefore, the solution of the given expression is 10.

Learn more about simplification;

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Answer:

0.0721 = 7.21% probability that the mean number of minutes of daily activity of the 8 mildly obese people exceeds 400 minutes

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Among mildly obese people, the mean number of minutes of daily activity (standing or walking) is approximately Normally distributed with 367 minutes and standard deviation 64 minutes.

This means that [tex]\mu = 367, \sigma = 64[/tex]

A researcher records the minutes of activity for an SRS of 8 mildly obese people.

This means that [tex]n = 8, s = \frac{64}{\sqrt{8}} = 22.63[/tex]

(a) What is the probability that the mean number of minutes of daily activity of the 8 mildly obese people exceeds 400 minutes?

This is 1 subtracted by the pvalue of Z when X = 400. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{400 - 367}{22.63}[/tex]

[tex]Z = 1.46[/tex]

[tex]Z = 1.46[/tex] has a pvalue of 0.9279

1 - 0.9279 = 0.0721

0.0721 = 7.21% probability that the mean number of minutes of daily activity of the 8 mildly obese people exceeds 400 minutes

Answer:

all of the above

Step-by-step explanation:

Answer:

x<3

Step-by-step explanation:

5x+2<17

Subtract 2 from both sides.

5x<17−2

Subtract 2 from 17 to get 15.

5x<15

Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.

x=15/5

Divide 15 by 5 to get 3.

x<3

Answer:

The common ratio is 2.

Step-by-step explanation:

If a given set of elements represents a geometric, each pair of elements must the one and same ratio. That is:

[tex]\frac{n_{i+1}}{n_{i}} = r, \forall\,i\in \mathbb{N}[/tex], [tex]n_{i}, n_{i+1}\in N[/tex]

Where:

[tex]n_{i}[/tex] - i-th element of the given set.

[tex]N[/tex] - Set of elements.

If we know that [tex]n_{1} = 0.45[/tex], [tex]n_{2} = 0.9[/tex] and [tex]n_{3} = 1.8[/tex], then common ration is:

[tex]\frac{n_{2}}{n_{1}} = \frac{n_{3}}{n_{2}} = 2[/tex]

The common ratio is 2.

Answer:

$58+8.40=$66.4

Step-by-step explanation:

Answers:

Fractions A

Red flower fraction== 40/100

Purple flower fraction=47/100

Trees fraction=7/100

Decimals

Orange flower decimal=0.06

Trees decimal=0.07

Percents

Red flower percent=40%

Orange flower percent=6%

Purple flower percent=47%

Ask for help when you need it, I'm here until 2:30

I hope this helps!

If you need more help, don't hesitate to ask!

May I have brainliest, please?

Answer:

The first one

Step-by-step explanation:

x^(2) +7x -8

x^(2) +7x +7/2^(2) +-1*(7/2)^2+-8            Complete the square

x+7/2^(2) +-1 x 7/2^(2) +-8                    Use the binomial formula

x+7/2^(2) +1 x -81/4                                     simplify

1(x+7/2)^2+1 x -81/4

Answer:

y = 0

Step-by-step explanation:

Answer:

2 minutes

Step-by-step explanation:

90 words ÷ 4 minutes

= 22.5 words

22.5 words × 2 minutes

= 45 words

Answer:

9.25

Step-by-step explanation:

Answer:

$9.25

Step-by-step explanation:

8 is to $74 as 1 is to x

8/74 = 1/x

4/37 = 1/x

4x = 37 * 1

x = 37/4

x = 9.25

Answer: $9.25

Answer:

D

Step-by-step explanation:

Answer:

x<100 and look at picture

Step-by-step explanation:

x-19<81

+19  +19

x<100

+100 on number line, opened line to the left

X<100

Step-by-step explanation:

x-19<18

+19   +19

x<100

+100 on number line, opened line to the left

Answer:

The commutative property

Step-by-step explanation:

a math rule that says that the order in which we multiply numbers does not change the product.

Answer:

Commutative Property

Step-by-step explanation:

The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer. The property holds for Addition and Multiplication, but not for subtraction and division. -splashlearn . com

Answer:

-4/7

Step-by-step explanation:

Add 15x to each side. Then subtract 14 to each side.

Answer: x=5.442≈5.4 feet

Answer:

5.9

Step-by-step explanation:

[tex] \boxed{ \blue{Answers + Explain}} [/tex]

the two triangles are congruent. Because it has sides that match and are the same length.

.

the corresponding side is:

.

the corresponding angle is:

Answer:

8

Step-by-step explanation:

Let one of the multiples of 8 be 8x and the second multiple of 8 be 8(x+1). Using x and x+1 ensure that the resulting multiples are one multiple apart, or consecutive. Next, recall that these two consecutive multiples of 8 have a product of 2,688. We can thus write the equation:

[tex]8x*8(x+1)=2,688[/tex].

To solve the equation, we must simplify and distribute. We can isolate the non-zero terms on one side the equation and solve the remaining quadratic equation for x:

[tex]64x(x+1)-2688\\64^2+64x-2688=0\\54(x^2+x-42)=0\\64(x+7)(x-6)=0[/tex]

This means that x=-7 or x=6. Using the positive result x=6 gives the multiples of 8×6 and 8(6+1) or 48 and 56. Subtract the two numbers ot find the difference is 56-48 or 8.

Answer:

1 1/3 (Decimal: 1.333333)

Step-by-step explanation:

Answer:625

Step-by-step explanation:

12048.7006-11423.8842

624.8164

$625

After 9 years, Zachary has $615.2 more than Peyton in his account.

A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.

We know that the compound interest is given as

A = P(1 + r)ⁿ

Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.

The equation is given as,

[tex]\rm P=P_oe^{rt}[/tex]

Zachary invested $5,300 in an account paying an interest rate of 9 % compounded continuously. Then the amount is calculated as,

[tex]\rm P = \$5,300 \times e^{(0.09\times 9)}\\[/tex]

P = $5,300 × 2.2479

P = $11,913.9

Peyton invested $5,300 in an account paying an interest rate of 85% compounded quarterly. Then the amount is calculated as,

[tex]\rm A = \$5,300 \times \left (1 + \dfrac{8.5}{400} \right )^{4 \times 9}[/tex]

A = $5,300 × 2.1318

A = $11,298.7

The difference is given as,

D = $11,913.9 - $11,298.7

D = $615.2

After 9 years, Zachary has $615.2 more than Peyton in his account.

More about the compound interest link is given below.

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Answer:

C. 75t + 10 = 160

Step-by-step explanation:

Given that

The tire was $75 each

also there is a $10 for installation charges

For both he paid $160

Now based on the above equaton

The equation that applied to determine the number of tires i.e. t is

75t + 10 = 160