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solniwko [45]
3 years ago
13

Using the formula in model 1, choose the correct answers for the total amount and amount of interest earned in the following com

pound interest problem.
$850 at 2% for 9 years, compounded annually.

Total Amount = $
Interest Amount =$
Mathematics
1 answer:
DIA [1.3K]3 years ago
7 0

The total amount is $ 1015.82 and interest amount is $ 165.82

<em><u>Solution:</u></em>

<em><u>The formula for amount when interest is compounded annually is:</u></em>

\mathrm{A}=P\left(1+r}\right)^{n}

Where,

"A" is the total amount

"P" is the principal

"r" is the rate of interest in decimal form

"n" is the number of years

<em><u>From given, $850 at 2% for 9 years, compounded annually</u></em>

P = 850

t = 9 years

r = 2 \% = \frac{2}{100} = 0.02

<em><u>Substituting the given values we get,</u></em>

A = 850(1+0.02)^9\\\\A = 850 \times 1.02^9\\\\A = 850 \times 1.1950\\\\A = 1015.82

Thus total amount is $ 1015.82

Interest amount = Total amount - principal

Interest amount = 1015.82 - 850

Interest amount = 165.82

Thus total amount earned is $ 1015.82 and interest amount is $ 165.82

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The league championship 800 meter race has 6 runners.
s2008m [1.1K]

Answer: 120

Step-by-step explanation:

Given : The league championship 800 meter race has 6 runners.

The number of positions = 3

Since order matters here , so we use Permutation.

The permutation of n things taking r at a time is given by :-

^nP_r=\dfrac{n!}{(n-r)!}

Then, the number of different ways they place first, second, and third :_

^6P_3=\dfrac{6!}{(6-3)!}=\dfrac{6\times5\times4\times3!}{3!}=120

Hence, they can place first, second, and third in 120 different ways .

7 0
3 years ago
Write the expression for the Area of the polygon BORT MO 6 A= O A = 6m + mp O A = mp + 1/2(6m) O A = mp + 6p
anyanavicka [17]

We are asked to determine the area of the given figure. To do that we will divide the figure into a square and a triangle. The area of the square is the product of its dimension, therefore, the area is:

A_{sq}=mp

The area of the triangle is given by the following formula:

A_t=\frac{bh}{2}

Where "b" is the base and "h" is its height. Replacing the values:

A_t=\frac{(6)(m)}{2}=\frac{1}{2}6m

The total area is the sum of both areas:

A=A_{sq}+A_t

replacing the areas:

A=mp+\frac{1}{2}6m

7 0
1 year ago
The larger of two numbers is 12 more than the smaller their sum is 84 find the numbers
dedylja [7]
EXPLANATION:
Let the smaller no. be x.
Therefore, The bigger no. = x+12

x + 12 + x = 84
=> 2x = 84-12
=> x = 72/2
=> x = 36

ANSWER: The two numbers are (36+12) 48 & 36

Hope it helps u!
4 0
2 years ago
Read 2 more answers
6
SVETLANKA909090 [29]

Answer:

56.52 units²

explanation:

  • We should know circle's area: πr²
  • Then the semi circle shall have half area, so formula: (1/2)πr²

Steps:

Using the formula:

→ (1/2)πr²

→ (1/2)(3.14)(6)²

→ 56.52 units²

6 0
2 years ago
Read 2 more answers
A large box contains 18 small boxes and each small box contains 25 chocolate bars. How many chocolate bars are in the large box?
Katarina [22]
You need to multiply 25 by 18 to find the total.

25 x 18 = 450.

There are 450 chocolate bars in the large box
5 0
3 years ago
Read 2 more answers
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