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3 years ago

What is the sum of the interior angles

Mathematics

1 answer:

galben [10]3 years ago

7 0

Answer:

The sum of the interior angle is 108°

Step-by-step explanation:

To find the sum of the interior angle, you need this equation:

$\frac{180(n-2)}{n}$ (The variable $n$ represents the number of sides does a shape have).

-Count the sides of the shape:

The following polygon shown, has 5 sides.

-After you have the number of sides of the polygon, use the number of sides for the equation and it will be written as:

$\frac{180(5-2)}{5}$

-Then, you solve:

$\frac{180(5-2)}{5}$

$\frac{180(3)}{5}$

$\frac{540}{5} = 108\textdegree$

So, the sum of the interior angle is $108\textdegree$ .

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The correct answer is A: 3. This is because...
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Solve <br><br> 10/r > 1; r = 5

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Step-by-step explanation:

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3 years ago

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3 years ago

Read 2 more answers

After four years of college, Erica has to start paying off all her student loans. Her first payment is due at the end of this mo

tatiyna

Answer:

Therefore, the approximate monthly payment is $548.85

Step-by-step explanation:

The amount of student loans Erica currently has = $34,006.00

The duration over which Erica is to pay back the loan = 7 years

The annual interest rate for the loan = 9.1%

Therefore, we have the geometric sequence formula is given as follows;

$A_n = P( 1 + r)^n - M \times \left [ \dfrac{(1 + r)^n-1}{r} \right ]$

Where;

M = The monthly payment

P = The initial loan balance = $34,006.00

r = The annual interest rate = 9.1%

n = The number of monthly payment = 7 × 12 = 84

Aₙ = The amount remaining= 0 at the end of the given time for payment

Substituting the values into the above formula, , we get;

$0 = 34006 \times \left ( 1 + \dfrac{0.091}{12} \right )^{84} - M \times \left [ \dfrac{\left (1 + \dfrac{0.091}{12} \right )^{84}-1}{\dfrac{0.091}{12} } \right ]$

$M = \dfrac{34006 \times \left ( 1 + \dfrac{0.091}{12} \right )^{84} }{\left [ \dfrac{\left (1 + \dfrac{0.091}{12} \right )^{84}-1}{\dfrac{0.091}{12} } \right ]} \approx 548.85$

Therefore, the approximate monthly payment = $548.85

6 0

4 years ago

QUESTION 1

morpeh [17]

Answer:

Allison would need to deposit $123,950.50

Since we are talking about compounding interest we can use the Exponential Growth formula to calculate this problem. The Formula is the following

y is the total amount after a given time

a is the initial amount

r is the interest rate in decimals

t is the given time

Assuming the total amount is $1,900,000 (since there is a number missing in the question) then we would first need to calculate the daily interest rate (since we are compounding daily) and the amount of days between her first deposit and her withdraw at age 65.

0.07 / 365 = 0.00019178 daily

(65-26) * 365 = 14,235 days

Now we can plug our values into the formula and solve for the initial amount (a)

Allison would need to deposit $123,950.50 into her retirement account today to retire at 65 with $1,900,000.

Step-by-step explanation:

Hope this helps:)

5 0

3 years ago