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bija089 [108]
3 years ago
10

Kim deposited $1,422 into a savings account. After 5 years, she had a total of $1,635.30 in her account. What is the interest ra

te?
With step by step explanation = Brainliest
Mathematics
2 answers:
spayn [35]3 years ago
6 0

Answer:

don't know

Step-by-step explanation:

ok please mark mr brainlist

scZoUnD [109]3 years ago
4 0

Answer:

3%

Step-by-step explanation:

Interest rat is calculated by using the equation A = P(1 + r)^n

A is the amount after interest. Here, it is 1635.30

P is the principal, or base, amount. Here, it is 1422

r is the rate at which there is interest. It is what we need to find out.

n is the amount of years interest is calculated for. Here, it is 5

Now that we have everything, we calculate:

1635.30 = 1422(1 + r)^5

Now we have to get r on one side of the equation by itself:

Divide both sides by 1422:

1635.30/1422 = (1 + r)^5

5√(1655.30/1422) = 1 + r

5√(1.16406469) - 1 = r

Now r is on one side of the equation.

The 5th root of 1.16406469 is 1.03084987

1.03084987 - 1 = 0.0308, so it is 3%

The 5√ is the 5th root of the numbers

Or it's 2.835 percent I don't know

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blagie [28]

The missing figure is attached

The value of a is 5\frac{1}{3} ⇒ 2nd answer

Step-by-step explanation:

Let as revise the Pythagoras Theorem

In the right triangle ABC, where ∠B is a right angle (AC is the hypotenuse, Ab and BC are the legs of the right angle)

  • (AC)² = (AB)² + (BC)²
  • (AB)² = (AC)² - (BC)²
  • (BC)² = (AC)² - (AB)²

If BD is drawn perpendicular to AC, we can use these rules

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  • (BC)² = CD × AC
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In Δ WYZ

∵ m∠WYZ = 90°

- By using Pythagoras Theorem

∴ (WZ)² = (WY)² + (YZ)²

∵ WY = 4 units

∵ YZ = 3 units

∵ WZ = c units

∴ c² = (4)² + (3)²

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- Take √ for both sides

∴ c = 5

In Δ XWZ

∵ m∠XWZ = 90°

∵ WY ⊥ XZ

- We can use the rule (WZ)² = ZY × ZX

∵ (WZ)² = ZY × ZX

∵ WZ = 5 units

∵ ZY = 3 units

∵ ZX = (3 + a) units

∴ (5)² = 3(3 + a)

∴ 25 = 9 + 3a

- Subtract 9 from both sides

∴ 16 = 3a

- Divide both sides by 3

∴ a = 5\frac{1}{3}

The value of a is 5\frac{1}{3}

Learn more:

You can learn more about the rules of the right triangle in brainly.com/question/14390928

#LearnwithBrainly

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