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Yanka [14]
3 years ago
7

suppose that you put $2,500 into retirement account that grows with an interest rate of 5.25 % compounded once each year after h

ow many years will the balance of the account be at least $15,000?
Mathematics
1 answer:
Jlenok [28]3 years ago
8 0
You will need to use this formula:
<span>Years = {log(total) -log(Principal)} ÷ log(1 + rate)
Years = [log(15,000) - log(2,500)] / log (1.0525)
</span>
<span> <span> <span> 4.1760912591 </span> </span> </span> - <span> <span> <span> 3.3979400087 </span> </span> </span> / <span> <span> <span> 0.0222221045 </span> </span> </span> =
<span> <span> <span> 0.7781512504 </span> </span> </span> / <span> <span> <span> 0.0222221045 =
</span></span></span>
<span> <span> <span> 35.0169917705 </span> </span> </span> years
About 35 years

You'll find the formula here: http://www.1728.org/compint2.htm
And a compound interest calculator here: http://www.1728.org/compint.htm
(You'll find both are helpful for this problem).

You might be interested in
How to find The point midway
Vadim26 [7]

Step-by-step explanation:

The Midpoint Formula works exactly the same way. If you need to find the point that is exactly halfway between two given points, just average the x-values and the y-values.

4 0
3 years ago
Read 2 more answers
The area of the triangle below is 10.6 square centimeters. What is the length of the
CaHeK987 [17]

Answer:

6 cm

Step-by-step explanation:

The area of a triangle is \frac{bh}{2} = A, where b = base, h = height, and A = area. In this case, we're given the height as 4 cm and the area as 6 cm^2.

Let's plug in these values.

  • \frac{4b}{2} = 6

Now, let's solve this algebraically.

Step 1: Multiply both sides by 2.

  • \frac{4b}{2} * 2 = 6 * 2
  • 4b = 12

Step 2: Divide both sides by 4.

  • \frac{4b}{4} = \frac{12}{4}
  • b = 3

Step 3: Check if solution is correct.

  • \frac{3*4}{2} = 6
  • \frac{12}{2} = 6
  • 6 = 6

Therefore, the base is 6 cm. (but don't put the cm in the box because it's already there)

Have a lovely rest of your day/night, and good luck with your assignments! ♡

3 0
3 years ago
Please help me with this homework question. No silly answers please and no bots! I will mark brainliest to whoever gets all them
MatroZZZ [7]

Answer:

The formula for the area of the triangle is:

\displaystyle A=24x^2

When <em>x</em> = 3, the area is 216 square centimeters.

When <em>x </em>= 2.4, the area is 138.24 square centimeters.

And when <em>x</em> = 5, the hypotenuse of the triangle is 50 centimeters.

Step-by-step explanation:

We are given a right triangle with a height of 8<em>x</em> and a base of 6<em>x</em>.

The area of a triangle is given by the formula:

\displaystyle A=\frac{1}{2}bh

So, by substitution:

\displaystyle A=\frac{1}{2}(8x)(6x)=24x^2

When <em>x </em>= 3, the area will be:

\displaystyle A(3)=24(3)^2=216\text{ cm}^2

And when <em>x</em> = 2.4, the area will be:

A(2.4)=24(2.4)^2=138.24\text{ cm}^2

When <em>x </em>= 5, the height will be 8(5) = 40 cm and the base will be 6(5) = 30 cm.

By the Pythagorean Theorem:

a^2+b^2=c^2

So:

(40)^2+(30)^2=c^2

The hypotenuse will be:

c=\sqrt{1600+900}=\sqrt{2500}=50\text{ cm}

3 0
3 years ago
A researcher studying public opinion of proposed Social Security changes obtains a simple random sample of 35 adult Americans an
Liula [17]

Answer:

Adult required in the case of “a” 28 and in the case of “b” the adult requirement is 19.

Step-by-step explanation:

(a) The percentage of adult that support the change is 20 percent.

Now calculate the number of adult required.

Given p = 0.20

Use the below condition:

np(1 – p) \geq 10 \\n \times 0.20 (1 – 0.20) = 10 \\n = 63 round off

Since 35 adults are already there so required adults are 63 -35 = 28

(b) The percentage of adult that support the change is 25 percent.

Now calculate the number of adult required.

Given p = 0.25

Use the below condition:

np(1 – p) \geq 10 \\n \times 0.25 (1 – 0.25) = 10 \\n = 54 (round off)

Since 35 adults are already there so required adults are 54 -35 = 19 .

6 0
3 years ago
The probability that will rain tomorrow 0.85. what is the probability that will not rain tomorrow?
Maslowich

Answer:

probability that will not rain tomorrow

P(nR) = 1-0.85

= 0.15

is the answer

3 0
3 years ago
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