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3 years ago

Write 5,370 expanded form

Mathematics

1 answer:

tatyana61 [14]3 years ago

4 0

The expanded form of writing 5,370 is 5,000+300+70

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You have a goal of saving to build up a nest egg of $625,357.24, and you are going to make regular deposits to an account that p

Delvig [45]

The monthly deposit required to save up to $625,357.24 (future value) in 40 years at a 7.2% APR is <u>$225.20</u>.

<h3>What is the monthly deposit?</h3>

The monthly deposits are the periodic savings that the investor must make to achieve future value.

The monthly deposit is compounded at the monthly annual percentage rate (APR).

We can compute the required monthly deposits using an online finance calculator as follows:

N (# of periods) = 480 months (40 years x 12)

I/Y (Interest per year) = 7.2%

PV (Present Value) = $0

FV (Future Value) = $625,357.24

<u>Results</u>:

Monthly Deposits (PMT) = $225.20

Sum of all periodic payments = $108,096 ($225.20 x 480)

Total Interest = $517,261.24

Thus, to save $625,357.24 in 40 years, you need to deposit <u>$225.20</u> monthly.

Learn more about periodic deposits (payments) at brainly.com/question/13031679

#SPJ1

6 0

1 year ago

An open box is to be constructed so that the length of the base is 3 times larger than the width of the base. If the cost to con

natta225 [31]

Answer:

Step-by-step explanation:

Let assume that the volume = 88 cubic feet

Then:

$L = 3w --- (1)volume = l \times w \times h \\ \\ 88 = (3w) \times w \times h \\ \\ 3w^2 h= 88 \\ \\ h = \dfrac{88}{3w^2}--- (2) \\ \\$

The construction cost now is:

$C = 4(l \times w) + 2 ( w \times h) + 2(l \times h) \\ \\ C = 4(3w^2) + 2(w \times \dfrac{88}{3w^2}) + 2(3w \times \dfrac{88}{3w^2}) \\\\ C = 12w^2 + \dfrac{176}{3w} + \dfrac{176}{w}$

Now, to determine the minimum cost:

$\dfrac{dC}{dw}= 0 \\ \\ \implies 24 w - \dfrac{176}{3w^2}- \dfrac{176}{w^2}=0 \\ \\ 24 w ^3 = \dfrac{176}{w^2}(\dfrac{1}{3}+1) \\ \\ 24 w ^3 = \dfrac{176(4)}{3} \\ \\ w^3 = \dfrac{88}{3(3)}$

$w = \dfrac{88}{3(3)}^{1/3} \ feet$

Now;

$length = 3 ( \dfrac{88}{3(3)})^{1/3} \ feet$

$height = ( 88})^{1/3} (3)^{1/3} \ feet$

6 0

3 years ago

A recipe for one batch of cookies uses 5 cups of flour and 2 teaspoons of vanilla. If i use 6 teaspoons of vanilla how many cups

Amiraneli [1.4K]

Answer:

15 cups

Step-by-step explanation:

5 cups= 2 teaspoons

15 cups=6 teaspoons

the difference between 2 and 6 is times 3

so it would be 5 times 3 which is 15

4 0

3 years ago

nathan has 15m dollars. he buys 2 bags and 3 books. each bag costs 2m dollars. each book costs $10. how much money does nathan s

Hitman42 [59]

well, if Nathan has 15 million dollars and buys 2 bags and 3 books and if each bag is 2 million you would do 15 minus 2 and when you get the answer you would minus 10 dollars off of that and then do 10 times that number.

I hope you understand what I'm saying if not pls ask for help.

4 0

2 years ago

10. If a triangle has an angle of 45° and an angle of 100°, what is the third angle?

katrin [286]

Answer:

So, 35 degrees is your answer.

Step-by-step explanation:

180 - 100 - 45 = 35 degrees

Hope my answer has helped you!

4 0

3 years ago

Read 2 more answers