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Nat2105 [25]
3 years ago
14

$1334 is deposited into a savings account at 8% interest, compounded quarterly. To the nearest year, how long will it take for t

he account balance to reach $1,000,000?
Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
5 0

Answer:

  84 years

Step-by-step explanation:

The future value of an investment is given by ...

  FV = P(1 +r/n)^(nt)

where P is the principal amount, r is the annual rate, and n is the number of times per year interest is compounded. Filling in the given values and solving for t, we get ...

  1000000 = 1334(1 +.08/4)^(4t)

  749.6252 ≈ 1.02^(4t) . . . . divide by 1334 and simplify

  log(749.6252) ≈ 4t·log(1.02) . . . . take logarithms

  t ≈ log(749.6252)/(4·log(1.02)) ≈ 83.57

It will take about 84 years for the account balance to reach $1,000,000.

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In ΔRST, t = 4.1 inches, r = 7.1 inches and ∠S=45°. Find the length of s, to the nearest 10th of an inch.
dem82 [27]

Answer:

The length of s is 5.1 inches to the nearest tenth of an inch

Step-by-step explanation:

In Δ RST

∵ t is the opposite side to ∠T

∵ r is the opposite side to ∠R

∵ s is the opposite side to ∠S

→ To find s let us use the cosine rule

∴ s² = t² + r² - 2 × t × r × cos∠S

∵ t = 4.1 inches, r = 7.1 inches, and m∠S = 45°

→ Substitute them in the rule above

∴ s² = (4.1)² + (7.1)² - 2 × 4.1 × 7.1 × cos(45°)

∴ s² = 16.81 + 50.41 - 41.1677568

∴ s² = 26.0522432

→ Take √ for both sides

∴ s = 5.10413981

→ Round it to the nearest tenth

∴ s = 5.1 inches

∴ The length of s is 5.1 inches to the nearest tenth of an inch

3 0
3 years ago
Read 2 more answers
Thanks that helped a lot with my math homework!:):):)
frosja888 [35]
:):):):):):):):):):)
8 0
4 years ago
Tìm nghiệm của đa thức 3x+15
nika2105 [10]
3x+15=0
<=> 3x=-15
<=> x= -15/3
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Vậy nghiệm của đa thức 3x+15 là -5
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I need help with question two please, it’s due tomorrow first thing so kinda need to get it done
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The third option: y = kx^2
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Find the area of the rectangle , i put a pic .
Gre4nikov [31]

Step-by-step explanation: Notice that the figure shown here is a rectangle so we can find its area by using the formula <em>length x width</em>.

Since the length is 3/7 in and the width is 2/8 in, we can plug this information into the formula to get (3/7)(2/8).

Now multiplying across the numerators and multiplying across the denominators we get 6/56 which can be reduced to 3/28 in².

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4 years ago
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