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VashaNatasha [74]
3 years ago
8

7. $6,000 is invested in an account that earns 4.5% annual interest, compounded quarterly. What is the

Mathematics
1 answer:
Dafna11 [192]3 years ago
5 0

Answer:

The value of account after 8 years is $8580  

Step-by-step explanation:

Given in question as :

The principal that invested in an account = $6,000

The annual interest rate  compounded quarterly = 4.5%

Time period = 8 years

Now from compound Interest method for quarterly .

Amount = Principal ( 1 + \frac{Rate}{4 \times 100})^{4 \times Time}

Or,Amount = $6,000 ( 1 + \frac{4.5}{4 \times 100})^{4 \times 8}

Or, Amount = $6,000 (1.430)

∴ Amount = $8580  

Hence the value of account after 8 years is $8580   Answer

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Question. 1 :
vovikov84 [41]
<h3>Answer to Question 1:</h3>

AB= 24cm

BC = 7cm

<B = 90°

AC = ?

<h3>Using Pythagoras theorem :-</h3>

AC^2 = AB^2 + BC ^ 2

AC^2 = 24^2 + 7^2

AC^2 = 576 + 49

AC^2 = √625

AC = 25

<h3>Answer to Question 2 :-</h3>

sin A = 3/4

CosA = ?

TanA = ?

<h3>SinA = Opp. side/Hypotenuse</h3><h3> = 3/4</h3>

(Construct a triangle right angled at B with one side BC of 3cm and hypotenuse AC of 4cm.)

<h3>Using Pythagoras theorem :-</h3>

AC^2 = AB^2 + BC ^ 2

4² = AB² + 3²

16 = AB + 9

AB = √7cm

<h3>CosA = Adjacent side/Hypotenuse</h3>

= AB/AC

= √7/4

<h3>TanA= Opp. side/Adjacent side</h3>

=BC/AB

= 3/√7

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2 years ago
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