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kobusy [5.1K]
3 years ago
12

An account earned interest of 3% per year. The beginning balance was $150. The equation t=log1.03 (E/150) represents the situati

on, where t is the time in years and E is the ending balance. If the account was open for 8 years, what was the ending balance?
Mathematics
1 answer:
barxatty [35]3 years ago
3 0

Answer:

the ending balance is <em>$190</em>.

Step-by-step explanation:

Step 1:

The given information is:

Interest rate = 3% per year

Beginning balance = 150 $

Equation:

t = log₁.₀₃ (E / 150)

Step 2:

Solve for E:

8 = log₁.₀₃ (E / 150)

E / 150 = (1.03)⁸

E = (1.03)⁸ (150)

<em>E = 190 $</em>

<em></em>

Therefore, the ending balance is <em>$190</em>.

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Which expression shows how to find the quotient of 4.8÷2?
xenn [34]

Answer:

[A] (4 ÷ 2)+(0.8 ÷ 2)

Step-by-step explanation:

Divide the 2 into each digit, which must be in the same spot it was before:

Knowing that 8 in 4.8 ⇒ 0.8

Thus, you can infer that [B] is wrong

You also infer that [D]  and [C] is wrong because 4 is a whole number.

Thus, that left us with [A] 4 ÷ 2+0.8 ÷ 2 which shows the quotient of 4.8 ÷ 2

Hence, [A] 4 ÷ 2+0.8 ÷ 2 is the answer.

<em>~Learn with Lenvy~</em>

5 0
2 years ago
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I am four times as old as my daughter. In 20 years time I shall be twice as old as her. How old are we now?
SashulF [63]

Answer:

If x is my daughter's age now, my age now is 4x. So now my daughter is 10 years old, and I'm 40 years old, and in 20 years she'll be 30 and I'll be 60, twice as hers.

Step-by-step explanation:

6 0
2 years ago
14+14p=21 solve for p
11Alexandr11 [23.1K]

Answer: 0.5

Step-by-step explanation: In this problem, we're asked to solve the following equation for <em>p. </em>Let's first switch 14 and 14p around so we have 14p + 14 = 21.

<em />

To solve this equation for <em>p</em>, we must first isolate the term containing <em>p</em> which in this case is 14p.

Since 14 is being added to 14p, we need to subtract 14 from both sides of the equation.

14p + 14 = 21

        -14   -14

On the left side of the equation, the positive 14 and negative 14 cancel each other out and we have 14p. On the right side of the equation, we hav 21 - 14 which gives us 7.

Now we have the equation 14p = 7.

Since <em>p</em> is being multiplied by 14, to get <em>p</em> by itself, we divide both sides of the equation by 14.

On the left side of the equation the 14's cancel and we are left with <em>p</em>. On the right side of the equation, 7 divided by 14 is 0.5 which is our answer.

Therefore, p = 0.5 which is the solution for our equation.

Remember, you can always check your solution by substituting a number in for a variable to make sure the equation is true.

6 0
2 years ago
Find the measure of angle CHF.
swat32

9514 1404 393

Answer:

  115°

Step-by-step explanation:

Angle CHF has a measure equal to the average of the arcs the chords intercept.

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