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2 years ago

8

dylan invested $600 in a savings account at a 1.6% annual interest rate. He made no deposits or withdrawls on the account for 2

years. the intrest was compounded annually find to the nearest cent the balance in the account after 2 years

1 answer:

xxMikexx [17]2 years ago

8 0

Answer:

below

Step-by-step explanation:

that is the procedure above

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The perimeter of a triangular field is 120m. Two of the sides are 21m and 40m.Calculate the largest angle of the field.

Mama L [17]

Answer:

the largest angle of the field is 149⁰

Step-by-step explanation:

Given;

perimeter of the triangular filed, P = 120 m

length of two known sides, a and b = 21 m and 40 m respectively

The length of the third side is calculated as follows;

a + b + c = P

21 m + 40 m + c = 120 m

61 m + c = 120 m

c = 120 m - 61 m

c = 59 m

B

↓ ↓

↓ ↓

↓ ↓

A → → → → → → → → → → → C

Consider ABC as the triangular field;

Angle A is calculated by applying cosine rule;

$a^2 = b^2 + c^2 - 2bc \ Cos A\\\\Cos \ A = \frac{b^2 + c^2 - a^2}{2bc} \\\\Cos \ A = \frac{40^2 + 59^2 - 21^2}{2 \times 40 \times 59} \\\\Cos \ A = 0.983\\\\A = Cos ^{-1} (0.983)\\\\A = 10.6 \ ^0$

Angle B is calculated as follows;

$Cos \ B = \frac{a^2 + c^2 - b^2}{2ac} \\\\Cos \ B = \frac{21^2 + 59^2 - 40^2}{2 \times 21 \times 59} \\\\Cos \ B = 0.937\\\\B= Cos ^{-1} (0.937)\\\\B = 20.5 \ ^0$

Angle C is calculated as follows;

$Cos \ C = \frac{a^2 + b^2 - c^2}{2ab} \\\\Cos \ C = \frac{21^2 + 40^2 - 59^2}{2 \times 21 \times 40} \\\\Cos \ C = -0.857\\\\C = Cos ^{-1} (-0.857)\\\\C = 149\ ^0$

Therefore, the largest angle of the field is 149⁰.

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Solve real word problems involving comparing and ordering integers

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What’s the problem also have a good day

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Elena L [17]

36.08 = 8.8t

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36.08 = 8.8t
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3 years ago

Cyriarra earns $11 each hour she works. Which table represents the relationship between the number of hours she works and her ea

Vanyuwa [196]

Answer:

A

Step-by-step explanation:

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Danielle wants to divide her square garden in half diagonally. If each side of the garden is 18 feet, what is the length of the

bija089 [108]

Answer:

25.46

Step-by-step explanation:

Use the pythagorean thereom.

18^2 + 18^2 = c^2

324 + 324 = c^2

648 = c^2

√648 = c

c ≈ 25.46

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