All categories

2 years ago

Evan invested $800 in an account that pays 3.25% interest compounded annually.

Mathematics

1 answer:

Aleksandr [31]2 years ago

8 0

Answer:

Evans would have $852.8

Step-by-step explanation:

Given

$PV = \$800$

$r = 3.25\%$

$t = 2$

$n = 1$ --- annually'

Required

The future value

This is calculated using:

$FV = PV*(1 + \frac{r}{n})^{nt$

So, we have:

$FV = 800 * (1 + 3.25\%/1)^{2*1}$

$FV = 800 * (1 + 3.25\%)^{2}$

$FV = 800 * (1 + 0.0325)^{2}$

$FV = 800 * (1 .0325)^2$

$FV = 852.845$

$FV = 852.8$

FV =

You might be interested in

What is factorisation

liubo4ka [24]

Factorization is a method of writing numbers as the product of their factors or divisors.

Solution:

Factorisation:

Factorization is a method of writing numbers as the product of their factors or divisors.

In other words we can say, Finding what to multiply together to get an expression.

It is like "splitting" an expression into a multiplication of simpler expressions.

Methods of factorisation:

Factoring out the GCF

The sum-product pattern

The grouping method

The perfect square trinomial pattern

The difference of squares pattern

Factoring out the GCF:

This methods means that factoring out common factors

For example:

$12x^2 + 3x = 3x(4x + 1)$

This can be used when each term in given expression shares a common factor

The sum-product pattern

A quadratic equation may be expressed as a product of two binomials

For example:

$x^2 + 7x + 12 = (x + 3)(x + 4)$

This method can be used for quadratic equations of form $ax^2 + bx + c = 0$

The grouping method

If the polynomial is of the form $ax^2 + bx + c$ and there are factors of ac that add up to b , we can use this method

For example:

$2x^2 + 7x + 3\\\\2x^2 + 6x + 1x + 3\\\\2x(x + 3) + 1(x + 3)\\\\(x + 3)(2x + 1)$

The perfect square trinomial pattern

If the first and last terms are perfect squares and the middle term is twice the product of their square roots , we can use this method

For example:

$x^2 + 10x + 25\\\\(x + 5)^2$

The difference of squares pattern

If the expression represents a difference of squares, we can use this method

Because $a^2 - b^2 = (a + b)(a - b)$

For example:

$x^2 - 25\\\\x^2 - 5^2\\\\(x + 5)(x - 5)$

6 0

2 years ago

Better picture!! Please help me ASAP!! Desperate

Crazy boy [7]

The length of the picture would be 10 inches. If the frame needs to be 34, that means 7+7 for the width and 10+10 for the length.

4 0

2 years ago

Help Please I am not sure how to do this?

notsponge [240]

The answer should be Step 1; 3(1+2x)-2(x+1)+5

5 0

2 years ago

So I have to compute the following but i don't know what they mean any help?

Gelneren [198K]

Answer:

Step-by-step explanation:

This is a Combination (as in permutation vs combination) question the symbol (n r) refers to "n choose r". This is sometimes written as nCr

i.e the question is asking you to find how many combinations each will yield when you chose r items from n item without repetition and order does not matter.

I will only do the first question for you and you can just follow the same steps to solve the rest of the questions.

Recall that

$nCr=\frac{n!}{(r!)(n-r)!}$

Consider question a) we are given (5 1) or ₅C₁

we can see that n = 5 and r = 1

If we substitute this into the formula:

₅C₁ = (5!) / [ (1!)(5- 1)!]

= (5!) / [ (5- 1)!]

= (5!) / (4!)

= (5·4·3·2·1) / (4·3·2·1)

= 5

hence ₅C₁ = 5

7 0

2 years ago

Read 2 more answers

using the slope formula find the slope of the line through the points (0,0) and (3,9) use pencil and paper explain how you can u

maxonik [38]

Answer:

9/3

Step-by-step explanation:

you can't subtract from zero or you can't subtract a number from zero.

7 0

2 years ago

Read 2 more answers