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Delvig [45]
2 years ago
15

What are positivly charged particles in an atoms nucleus called

Mathematics
1 answer:
gladu [14]2 years ago
7 0

Answer:

proton is the word you're looking for.

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If $1,000 is invested at 4% simple interest, how much will the investment be worth after 2 years? Please explain how compound an
Novay_Z [31]
<h3>Answer:</h3>
  • simple interest: $1080.00
  • compounded annually: $1081.60
<h3>Step-by-step explanation:</h3>

<em>Simple Interest</em>

Simple interest is computed on the principal amount only. Each year, 4% of the principal is added to the balance. So, at the end of 2 years, the balance is ...

... $1000 + 0.04×$1000 + 0.04×$1000

... = $1000×(1 + 0.04×2) = $1000×1.08

... = $1080.00

_____

<em>Comment on the computation</em>

The added interest is the rate (per year) multiplied by the number of years. Here, that is 0.04×2×(principal amount). The formula for the simple interest earned is often seen as ...

... I = Prt . . . . . where I is the amount of interest, P is the principal amount, r is the interest rate for the time period, t is the number of time periods.

The account balance (A) with interest added is ...

... A = P + I = P + Prt

... A = P(1 +rt)

Here, the time period is years, and the rate given is an annual rate.

____

<em>Compound Interest</em>

Compound interest is computed on the <em>account balance</em> at the beginning of the period, not just the <em>principal</em> amount. After the first period, the account balance includes interest earned so far. So, the interest is earning interest. That is why it is called compounded interest.

Here, the balance at the end of the first year is the principal amount plus the interest that has earned:

... $1000 + 0.04×$1000 = $1000×1.04 = $1040.00

The balance at the end of the second year when the interest is compounded is this account balance plus the interest it earns:

... $1040 + 0.04×$1040 = $1040×1.04 = $1081.60

You may notice that the intial principal, $1000, has been multiplied by the factor 1.04 twice. Using exponents, the multiplier for a period of 2 years is 1.04×1.04 = 1.04².

_____

<em>Comment on the computation</em>

The multiplier of the account balance each year is raised to a power that is the number of years. Here, the account balance at the end of 2 years is (1+0.04)² times the principal amount. A formula that is seen for this is ...

... A = P(1 +r)^t . . . . . where A is the final account balance, P is the principal amount, r is the interest rate for the time period, and t is the number of time periods.

7 0
3 years ago
You can use the formula a = h/n is you want to find the batting average a of a batter who has h hits in n times at bat. Solve th
Akimi4 [234]
The formula is:
a = h / n.
h = a · n
If a = 0.285 and n = 400, then:
h = 0.285 · 400 = 114
Answer:
Joseph has 114 hits.
6 0
3 years ago
Read 2 more answers
189.271 in expanded form
Nookie1986 [14]

Answer:

189.271 in expanded form is (1 x 100) + (8 x 10) + (9 x 1) + (2/10) + (7/100) + (1/1000)

Step-by-step explanation: hope this helps <3

7 0
2 years ago
Read 2 more answers
Evaluate 5.45×1.5/0.025 leave your answer in standard form
malfutka [58]
= 5.45 × 1.5/0.025
= 5.45 x 60
= 327

Answer= 327

Hope this helps! :)
3 0
2 years ago
You can use the Pythagorean theorem to determine if three sides form a triangle.
podryga [215]

Answer:

True, we use Pythagorean Theorem to verify if three sides form a triangle

8 0
2 years ago
Read 2 more answers
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