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Svet_ta [14]
4 years ago
11

What is the total amount in an investment of $3500 that was compounded quarterly for 8 years at a rate of 5%?

Mathematics
1 answer:
erica [24]4 years ago
8 0

Answer:

Principal = 3500

Time = 8 years

We are given that compound quarterly

So, No. of compounds per year = 2

Rate of interest = 5%

Formula : A=P(1+\frac{r}{n})^{nt}

Substitute the values :

A=3500(1+\frac{0.05}{2})^{2 \times 2}

A=3863.345

Interest = 3863.345 - 3500 = 363.345

Hence the total amount in an investment of $3500 that was compounded quarterly for 8 years at a rate of 5% is $3863.345 and the interest that was made on that account mentioned is $363.345

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8 * 5/7 equalfind the product write the product in its simplest form 8 * 5/7 ​
Naily [24]

The product of 8 and 5/7 is 5.7

<u>Step-by-step explanation:</u>

The given product is 8 \times 5/7.

<u>In the product, two terms are given :</u>

  • The first term 8 is a whole number.
  • The second term 5/7 is a fraction.

1) So, to find the product of the first term and the second term, one method is to simplify the fraction into decimal number and then perform multiplication operation.

2) Either you can multiply the two terms in the first step and then the division operation is performed at the final step.

<u>First method :</u>

<u><em>Step 1 :</em></u> Convert the fraction into decimal

⇒ 5/7 = 0.71

<u><em>Step 2 :</em></u> Multiply the result with the other term.

⇒ 8 × 0.71

⇒ 5.68 (approximately 5.7)

<u>Second method :</u>

<u><em>Step 1 :</em></u> Multiply both the terms

⇒ 8 ×(5/7) = 40/7

<u><em>Step 2 :</em></u> divide 40 by 7

⇒ 40÷ 7 = 5.7

Therefore, the product of 8 and 5/7 is 5.7

7 0
4 years ago
Plzzzzz help
ololo11 [35]

Answer:

D. 0.343

Step-by-step explanation:

You can see the first three options as 0.340 so if you substract this number with 0.343 the remainder is positive 3.

This strategy also can be applied to the number 0.3409 but in this occasion the result is different:

0.343 - 0.3409 = 2.1\times 10^{-3}

That is small number but still is positive that's meaning that between 0.343 and 0.3409 the greatest value is 0.343 .

6 0
3 years ago
Which of the following is true? Select all that apply
balandron [24]

Answer:

The answer is n

Step-by-step explanation:

5 0
3 years ago
Round off to nearnest thousand 5,486 + 8,602
Mars2501 [29]
5,486 plus 8,602 is equal to around 14,000, give or take.
5 0
3 years ago
Read 2 more answers
16. Model with Math What must be the sum of
monitta

Answer:

The sum of the two remaining numbers, x and y = 60

Question:

The question isn't clear enough as some information have been omitted. Let's consider the following:

Model with Math. The average of six numbers is 18. If the average of four numbers is 12. What must be the sum of the two remaining numbers, x and y?

Write an equation to show how to find this sum.

Step-by-step explanation:

Mathematical models are applied to represent things in the real world in order to solve problems.

The formula we would use to solve this problem is an example of a mathematical model.

Types of mathematical model we can use include equations and graphs.

Using equations:

Average of six numbers = 18

Average of four of the numbers = 12

Total sum of the four numbers = 4×12 = 48

the two unknown numbers are x and y

Average of six numbers = (Sum of all 6 numbers)/6

=(Total sum of four numbers + x + y)/6

(48 + x + y)/6 = 18

The equation that shows how to find the sum:

(1/6)(48 + x + y) = 18

48 + x + y = 18×6

48 + x + y = 108

x + y = 108-48

x+y = 60

The sum of the two remaining numbers, x and y = 60

6 0
3 years ago
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