Ellen Saver went to her bank. She had a balance of $2,447.67 in her savings account. She withdrew $231.49 and the teller credited her account with $36.61. What is her new balance?

$2,179.57
$2,252.79
$2,642.77
$2,715.77

To solve this expression, apply the rules of exponents and convert the fractions to decimal values. Simplify the expression and use a calculator to find the decimal values of the powers. Divide the values and express the final result in scientific notation.

To solve this expression, we can first look at the different components. 12^10 means 12 raised to the power of 10. 75^15 means 75 raised to the power of 15. 15^25 means 15 raised to the power of 25. And finally, 80^5 means 80 raised to the power of 5.

Now, we can substitute these values back into the original expression: (12^10 · 75^15)/(15^25 · 80^5).

By using the rules of exponents, we can simplify this expression. For example, when you multiply two powers with the same base, you add the exponents. When you divide two powers with the same base, you subtract the exponents. Applying these rules, we get:

12^10 · 75^15/15^25 · 80^5 = (12/15)^10 · (75/80)^15/15^25 · 80^5 = (4/5)^10 · (3/4)^15/15^25 · 80^5.

To further simplify, we can convert the fractions into decimal values: 4/5 is equal to 0.8 and 3/4 is equal to 0.75. Substituting these values, we get:

(0.8)^10 · (0.75)^15/15^25 · 80^5 = 0.8^10 · 0.75^15/15^25 · 80^5.

We can use a calculator to find the decimal values of 0.8^10 and 0.75^15. After calculating the values and substituting them back into the expression, we get:

0.4 × 10^2 · 1.99 × 10^4/3.12 × 10^4 · 2.32 × 10^6 = 0.4 × 1.99/3.12 × 2.32 × 10^2 × 10^4 × 10^6 = 0.796/7.244 × 10^2 × 10^4 × 10^6.

Simplifying further, we get:

0.796/7.244 × 10^(2+4+6) = 0.796/7.244 × 10^12.

Dividing 0.796 by 7.244, we get approximately 0.1099373. So, the simplified expression is approximately 0.1099373 × 10^12.

Step-by-step explanation: To convert pounds into ounces, we need to start with a conversion factor for pounds and ounces which is 16 ounces = 1 pound.

Next, since we are going from a larger unit "pounds" to a smaller unit "ounces" we will multiply the pounds by our conversion factor.

Finally, our product will be our answer.

Answer:

C. 5

Step-by-step explanation:

I did the test

To find out how many of the 760 students in the freshman class are expected to graduate in four years, we use the rate of 4 out of 7 students graduating. This calculation yields approximately 434 students expected to graduate.

To calculate the approximate number of students expected to graduate in four years from a freshman class of 760 students, given a historical graduation rate of 4 out of 7, we use a simple proportion calculation. We set up a proportion where 4 out of 7 students graduate, which can be written as 4/7 = x/760, where x represents the number of graduating students.

Calculating this, we get x = (4/7) times 760. To solve for x, multiply both sides of the equation by 760 to isolate x.

x = 760  imes (4/7) = 760  imes 0.57142857
Approximately x = 434

Therefore, we can expect that approximately 434 students in the freshman class will graduate in four years, based on the provided rate.

Answer:

$347.6

Step-by-step explanation:

The computer cost $1250. If Gary made a down paymnet of $150, $1100 is left to be paid. The financial cost per month is $48.25. For two and a half years this amount must be multiplied by the number of months. In two and a half years there is:

[tex]=12+12g+6=30[/tex]

30 months. Gary pays

[tex]=30\cdot{48.25}=1447.5[/tex]

$1447.5 for 30 months. The original amount was $1250. Cary pays a total of:

[tex]=150+1447.6=1597.6[/tex]

The financial change is:

[tex]1597.6-1250=347.6[/tex]

The detailed answer provides a step-by-step explanation of how to express the length of Charlie's shadow as a function of time based on his movement away from a streetlight.

Length of Shadow as a Function of Time:

Express s as a function of time: s(t) = (h * d) / (d + rt), where r is Charlie's rate of movement away from the streetlight.

divide total cost by length:

0.76 / 3ft = 0.2533 cents per foot

 rounded to nearest cent = 0.25 cents per foot

Answer:

Hi! The answer to this question is 9.10

Step-by-step explanation:

All of the Items added up equals 9.10

Answer:I thought it was 4.34 but its 9.10

Step-by-step explanation:

The probability that the candidate selects the route of three specific capitals out of 48 states is [tex]\( \frac{1}{17296} \)[/tex].

To calculate the probability of the candidate selecting the route of three specific capitals out of 48 states, we need to consider the total number of possible routes and the number of routes that include the specific capitals.

Calculate the total number of possible routes.

Since the candidate plans to visit 3 out of 48 states, the total number of possible routes is the number of ways to choose 3 states out of 48, which can be calculated using combinations:

[tex]\[ \text{Total number of routes} = \binom{48}{3} \][/tex]

Calculate the number of routes including the specific capitals.

Since the candidate plans to visit the capitals of three specific states, there is only one way to choose each of those specific states. So, the number of routes including the specific capitals is 1.

Calculate the probability.

[tex]\[ \text{Probability} = \frac{\text{Number of routes including specific capitals}}{\text{Total number of possible routes}} \][/tex]

[tex]\[ = \frac{1}{\binom{48}{3}} \][/tex]

Now, let's compute this.

[tex]\[ \binom{48}{3} = \frac{48!}{3!(48-3)!} = \frac{48 \times 47 \times 46}{3 \times 2 \times 1} = 17296 \][/tex]

So, the probability is:

[tex]\[ \text{Probability} = \frac{1}{17296} \][/tex]

Therefore, the probability that the candidate selects the route of three specific capitals out of 48 states is [tex]\( \frac{1}{17296} \)[/tex].

Answer: the sales tax is 1050

First let us calculate for the z score using the formula:

z = (x – u) / s

where u is the mean height of men = 69 in, x is the height of the door = 76, and s is the standard deviation = 2.8 in

z = (76 – 69) / 2.8

z = 2.5

From the standard probability table, at z = -2.5 the probability P is:

P = 0.9938 = 99.38%

There are 140 ounces are in 8 3/4 pounds.

Given that,

1 ounce = 1/16 pound

We can also write it as

1/16 pound = 1 ounce

Multiply 16 both sides we get,

1 pound = 16 ounces   ......(i)

Therefore,

There are 16 ounces in 1 pound.

Now we can write [tex]8\frac{3}{4}[/tex] in simple fraction as,

= (8x4+3)/4

= 35/4

Now we can say that [tex]8\frac{3}{4}[/tex] pounds as 35/4 pound as both are same quantity

Now, multiply 35/4 both sides in equation (i) we get,

35/4 pound = (35/4)x16 ounces

                    = 140 ounces.

Hence,

 [tex]8\frac{3}{4}[/tex] pounds = 140 ounces.

To learn more about the measurement unit visit:

https://brainly.com/question/777464

#SPJ6

Answer:

A. 27 square units

Step-by-step explanation:

PLATO 2022 Lnhs

The t-test is a statistical test used to compare the means of two samples. The t-score, which represents the standardised difference between group means, and the p-value, which gives the probability of observing the data given the null hypothesis, are key components of the t-test result interpretation. A small p-value (typically less than 0.05) typically leads to rejection of the null hypothesis.

The t-test is a statistical measure used in hypothesis testing to analyze the difference between two sample means. Key to proper interpretation of its results is understanding the test statistic, otherwise known as the t-score, and the p-value.

The t-score is calculated by subtracting one measure from the other and dividing by the standard error to standardize the difference. A large absolute value of the t-score indicates a larger difference between the groups being compared. The t-distribution, which the t-score follows, depends on the sample size (n) and has n - 1 degrees of freedom.

The p-value, usually calculated using technology, is the probability that you would observe the given t-score (or one more extreme) if the null hypothesis was true. It corresponds to the combined area in both tails of the t-distribution. If the p-value is small (typically less than 0.05), this suggests the differences you observed are statistically significant, and you would reject the null hypothesis.

When comparing the results, note that 95 percent of all confidence intervals constructed in this way contain the true value of the population mean statistic.

https://brainly.com/question/35161872

#SPJ12

Final answer:

The annual interest rate compounded annually that grows $10,000 to $11,193.64 in two years is approximately 5.882%.

Explanation:

To find the interest rate i if the $10,000 grows to $11,193.64 in two years, we can rearrange the compound interest formula to solve for i:

[tex]A = P(1 + i)^t[/tex]

Given:
A = $11,193.64
P = $10,000
t = 2

Rearranging the formula to solve for i, we get:

[tex](A / P) = (1 + i)^t[/tex] → (11,193.64 / 10,000) = (1 + i)²

Now we must solve for i:

1.119364 = (1 + i)² → i = [tex]\sqrt{(1.119364)}[/tex] - 1

Calculating the square root of 1.119364 and subtracting 1 gives us:

i ≈ 0.05882 or 5.882%

Therefore, the annual interest rate compounded is approximately 5.882%.