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vaieri [72.5K]
3 years ago
13

How much would $200 invested at 5% interest compounded monthly be worth after 9years? Round your answer to the nearest cent

Mathematics
1 answer:
Feliz [49]3 years ago
4 0

Answer:

$311.20

Step-by-step explanation:

Here we are required to use the Compound interest formula for finding the Amount at the end of 9th year

The formula is given as

A=P(1+\frac{r}{n})^{tn}

Where ,

A is the final amount

P is the initial amount = $200

r is the rate of interest = 5% annual = 0.05

n is the frequency of compounding in a year ( Here it is compounding monthly) = 12

t is the time period = 9

Now we substitute all these values in the formula and solve for A

A=200(1+\frac{0.05}{12})^{9\times 12}

A=200(1+0.00416)^{108}

A=200(1.00416)^{108}

A=200 \times 1.556

A=311.20

Hence the amount after 9 years will be $311.20

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Solve it using Pythagoras theorem <br>plzz help I will mark u brainliest ​
mrs_skeptik [129]

Answer:

<h2>8.72</h2>

Reasoning:

(7^2)-(3^2)= (6.32^2)

(6.32^2)+(6^2)=(8.72^2)

I hope this helps and good luck

6 0
3 years ago
If a right triangle's hypotenuse is 17 units long, and one of its legs is 15 units long, how long is the other leg?
Vesna [10]

Answer:

8 units

Step-by-step explanation:

Hello!

So, there's a formula we can apply to right-angled triangles: Pythagorean's theorem. It states that  c = \sqrt{{a}^2 + b^{2} }, where <em>c</em> is the hypotenuse and <em>a</em> and <em>b </em>are the legs of the triangle.

So, from the problem,  if <em>c </em>= 17 and <em>a </em> = 15, then, we're solving for <em>b</em>. So we'll rewrite the theorem to solve for <em>b</em>.

{c}^2 = {a}^2+{b}^2\\{c}^2-{a}^2={b}^2\\{b} = \sqrt{{c}^2-{a}^2}

Okay, so now we have isolated the theorem for <em>b. Let's </em>plug in our values for <em>c </em>and <em>a</em>.

b = \sqrt{{17}^2-{15}^2}\\b = \sqrt{289-225}\\b = \sqrt{64}\\b = 8

So, using the theorem, we found <em>b</em> = 8. To check our work, let's plug in <em>b</em> and <em>a</em> and solve for <em>c.</em>

<em />c = \sqrt{{a}^2+{b}^2}}\\c = \sqrt{{15}^2+{8}^2}\\c = \sqrt{225+64}\\c = \sqrt{289}\\c = 17\\<em />

So, we got our hypotenuse to equal 17 units, which is correct! So, our <em>b</em> is correct too. Awesome

7 0
3 years ago
I'm kinda confused how to do this question, can someone help me?​
Paul [167]

Answer:

The Area of A is 6 and a half square units and B is 10

Step-by-step explanation:

You must take the units and add that are not whole units and pair them with another part that would look like it makes them whole and then count how many you have in total.

7 0
4 years ago
Jerry rolls two six-sided number cubes. What is the probability that the sum of the two cubes will be greater than 10?
Airida [17]
I believe the answer would be two because the only numbers 1-6 that add up to 10 are 6+4 and 5+5
6 0
4 years ago
Read 2 more answers
Please help will upvote
kifflom [539]
So it must have side length √16 = 4 cm and diagonal length 4√2 cm.
5 0
3 years ago
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