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Anastasy [175]
3 years ago
6

678,985,488 in expanded notation

Mathematics
1 answer:
____ [38]3 years ago
3 0
Six hundred seventy-eight million nine hundred eighty-five thousand four hundred eighty-eight. (I think)
You might be interested in
You wish to make an
Leokris [45]

Using the interest formulas, it is found that the values of the investment are given as follows:

  • Using simple interest, the value will be of $34,000.
  • Using compound interest, the value will be of $144,461.
  • Using continuous compounding, the value will be of $148,002.

<h3>Simple Interest</h3>

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

A(t) = P(1 + rt)

In which:

  • P is the initial amount.
  • r is the interest rate, as a decimal.

In this problem, we have that the parameters are as follows:

P = 9000, r = 0.07, t = 40.

Hence:

A(t) = 9000(1 + 0.07 x 40) = 34200

<h3>Compound interest</h3>

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

n is the number of compounding, for quarterly n = 4, then:

A(t) = 9000\left(1 + \frac{0.07}{4}\right)^{4 \times 40}

A(t) = 144461

<h3>Continuous compounding</h3>

A(t) = Pe^{rt}

Hence:

A(t) = 9000e^{0.07 \times 40} = 148002

More can be learned about the interest formulas at brainly.com/question/25296782

#SPJ1

7 0
2 years ago
What is the area of a rectangular rug that<br> measures 8 1/4 feet by 10 3/4 feet?<br> Area:
ziro4ka [17]

Answer:

<h2>354 \frac{3}{4}  \:  \: feet</h2>

Step-by-step explanation:

= 8 \frac{1}{4}  \times 10 \frac{3}{4}

= \frac{33}{4}  \times  \frac{43}{4}

=  \frac{1419}{4}

= 354 \frac{3}{4}  \:  \: feet

7 0
3 years ago
Lori is running in a marathon, which is 26.2 miles long. So far, she has run one-tenth of the marathon. How far has Lori run
Mila [183]

Answer:

lori has run 2.62 miles

Step-by-step explanation:

Do 26.2/10

4 0
2 years ago
Help due in 30 min!!!!!!!!!!!!!!!
kvasek [131]
The answer is no bc they all have the same x coordinate and therefore fail the vertical line test
6 0
3 years ago
A cone is sliced such that the cross section is perpendicular to its base and the cross section intersects its vertex.
Bas_tet [7]
The scenario described above is like dividing a right cone from the vertex down to the center for the base. The polygon that can be formed from the division or in this case slicing is a triangle. Thus, the answer to this item is letter B. 
3 0
3 years ago
Read 2 more answers
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