Walters savings account has a balance of $273. After 5 years, what will the amount of interest be at 5% compounded quarterly?

Answers

Answer 1

Answer: The answer is $350

The formula is as follows: $P(1+r/n) ^(nt)$

P: Principal Amount : $273
r: Rate of interest: 5%
n: number of times the interest is compounded: 4 (Since Quarterly)
t: number of years : 5

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What is scale factor of dilation that transform triangles PQR to triangle PQR explain your answer

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Answer:

need coordinates of each or side lengths of each to solve

Find the exact value of tan 255º.

Answers

When plotted in a Cartesian plane, the angle 225 degrees is at third quadrant. It is expected that its tangent is a positive value. We directly input this value in our scientific calculator. The answer would be 1. We may also use the equation, tan x = opposite side / adjacent side.

Which two quantities does a budget balance?Select the best answer from the choices provided.
income and liabilities
assets and debts
income and spending
spending and debts

Answers

The two quantities that does a budget balance are INCOME AND SPENDING.

Income and spending is also known as revenue and expenditure.
A budget balance happens when the spending is equal to the income.
A budget surplus occurs when the income is more than the spending.
A budget deficit occurs when the spending is more than the income.

Mark wants to use a grid to model the percent equivalent of the fraction 2/3. How many grid squares should be shade? What percent would his model show?

Answers

Answer:

66 + 1 ( not fully shaded ) squares will be shaded.

66.67% region will be shaded

Step-by-step explanation:

It is given that Marks uses a grid to model percent equivalent of $(2)/(3)$ .

Let us assume that Mark uses a model containing 100 grids.

Now, as the grids are divided into region equivalent to $(2)/(3)$ i.e. it is divided into 3 parts.

Moreover, 2 out of those 3 parts will be shaded.

As, $(2)/(3) =0.6667$

i.e. $(2)/(3)$ =66.67%

So, it gives us that 66 squares in the grid will be fully shaded and one will not be fully shaded.

Hence, 66 + 1 ( not fully shaded ) squares will be shaded and in percent, 66.67% of the region will be shaded.

Final answer:

To represent the fraction 2/3 on a grid, approximately 67% of the squares on the grid should be shaded. This means such a fraction corresponds to 67 out of 100 squares on a 100-square grid or equivalently 67% shaded.

Explanation:

To determine how many grid squares Mark should shade to model the percent equivalent of the fraction 2/3, we need to understand the relationship between fractions, decimals, and percents. When we convert the fraction 2/3 into a decimal, we get approximately 0.67. To represent this as a percent, we multiply by 100, which gives us 67%. So, about 67 out of 100 squares should be shaded.

Let's say Mark's grid has 100 squares (10 rows by 10 columns). In that case, he would shade about 67 squares to represent 2/3 as a percent. If the grid contains fewer than 100 squares, he would need to adjust accordingly.

In summary, the model would show about 67% shaded.

Learn more about Modeling Percentages with Grid here:

brainly.com/question/34317090

#SPJ6

Find the slope of each line

Answers

answer: 4

explanation: it would be 4 because slope is rise/run and it rises 4 and runs one so u would get 4/1 which is 4 simplified. :)

Answer:

Slope: 4

Step-by-step explanation:

The slope is 4, because each time x is increased by 1 y is increased by 4.

The rise would be 4 and the run would be 1.

Since the slope of a graph can be found by dividing rise by run, the slope would be 4/1, which is equal to 4.

Evaluate the summation of 25 times 0.3 to the n plus 1 power, from n equals 2 to 10..

Answers

Answer:

$\sum_(2)^(10)25(0.3)^(n+1)=0.9642375$

Step-by-step explanation:

We have to evaluate the expression:

$\sum_(2)^(10)25(0.3)^(n+1)$

i.e. it could also be written as:

$25\sum_(2)^(10)(0.3)^(n+1)$

i.e. we need to evaluate:

$25[(0.3)^3+(0.3)^4+(0.3)^5+(0.3)^6+(0.3)^7+(0.3)^8+(0.3)^9+(0.3)^(10)+(0.3)^(11)]$

Hence, this could be written as:

$=25* (0.3)^3[1+0.3^1+0.3^2+0.3^3+0.3^4+0.3^5+0.3^6+0.3^7+0.3^8]$

Now, the series inside the parenthesis is a geometric series with first term as 1 and common ration as 0.3.

Hence, we could apply the summation of finite geometric series and get the answer.

We know that the sum of geometric series with n terms and common ratio less than 1 is calculated as:

$S_n=a* ((1-r^n)/(1-r))$

Here a=1 and r=0.3

Hence the sum of geometric series is:

$S_9=1* ((1-0.3^9)/(1-0.3))\n\nS_9=1.4285$

Hence, the final evaluation is:

$=25* (0.3)^3* 1.4285\n\n=0.9642375$

Hence,

$\sum_(2)^(10)25(0.3)^(n+1)=0.9642375$

We are asked to evaluate the summation of 25 times 0.3 to the n plus 1 power, from n equals 2 to 10. In this case, we use a calculator with summation powers so as to accurately get the answer. Using a calculator, the asnwer is equal to 0.9643.

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