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Varvara68 [4.7K]
3 years ago
5

What is the expanded form of 337,060 using exponents

Mathematics
1 answer:
Ymorist [56]3 years ago
7 0
337,060 = (3x10^6) + (3x10^5) + (7x10^4) + (0x10^3) + (0x10^2) + (6x10^1) + (0x10^0)
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<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%20%20-%202%20%2B%20%20%5Cfrac%7B1%7D%7B3%7D%20%20%5Ctim
WINSTONCH [101]
<h3>Here is your Answer </h3>

\frac{1}{2} \times - 2 + \frac{1}{3} \times - 5 \\  \\  = \frac{1}{ \cancel2} \times  \cancel{- 2} + \frac{1}{3} \times - 5 \\  \\  = 1 \times  - 1 +  \frac{1}{3}  \times  - 5 \\  \\  =  - 1 + ( -  \frac{5}{3} ) \\  \\   =  - 1 -  \frac{5}{3}  \\  \\  =  \frac{ - 3 - 5}{3}  \\  \\  =  \frac{ - 8}{3}  =  - 2 \frac{2}{3}

<h3>Hope This Helps You</h3>

8 0
3 years ago
To offer scholarships to children of employees, a company invests $13,000 at the end of every three months in an annuity that pa
Andreyy89

Annuities

Suppose a fixed investment R is done every fixed number of periods m per year for t years at a constant rate r.

a.

The final value of the investments plus the interest is calculated as follows:

FV=R\cdot\frac{(1+i)^n-1}{i}

Where:

n = number of total periods of the investment.

n = m*t

i=\frac{r}{m}

The company invests R = $13,000 for t = 10 years at the end of every quarter (3 months), thus m = 4. The interest rate is r = 9% = 0.09.

The interest rate compounds quarterly.

Calculate:

n = 4*10 = 40

i = 0.09 / 4 = 0.0225

\begin{gathered} FV=\$13,000\cdot\frac{(1+0.00225)^{40}-1}{0.0225} \\ FV=\operatorname{\$}13,000\times\frac{(1.00225)^{40}-1}{0.0225} \\ FV=\operatorname{\$}13,000\times\frac{2.435188965-1}{0.0225} \\ FV=\operatorname{\$}13,000\cdot63.786176 \end{gathered}

Calculating:

FV = $829,220

The company will have $829,220 in scholarship funds

b. The interest can be found by subtracting the final value and the initial value. We have to calculate the latter:

\begin{gathered} A=FV(1+i)^{-n} \\ A=\$829,220(1.0225)^{-40} \\ A=\$340,516 \end{gathered}

Thus, the interest is:

welcI = $829,220 - $340,516

I = $488,704

The interest is $488,704

5 0
10 months ago
At 1 p.M., the number of bacteria in a petri dish is 54. It is estimated that the population of bacteria will increase by 6% eac
Zinaida [17]

Answer: y = 54(1.06)^t

Step-by-step explanation:

It is estimated that the population of bacteria will increase by 6% each hour. This is an exponential growth. The formula for determining exponential growth is expressed as

y = b(1 + r)^ t

Where

y represents the population after t years.

t represents the number of years.

b represents the initial population.

r represents rate of growth.

From the information given,

b = 54

r = 6% = 6/100 = 0.06

Therefore, the formula for the population of bacteria is

y = 54(1 + 0.06)^t

y = 54(1.06)^t

6 0
2 years ago
luke has $1.40 in quarters and nickels. he has 2 more quarters than nickels. how many coins of each type does he have?
Ainat [17]

Answer:

3 nickels and 5 quarters

Step-by-step explanation:

Let n = number of nickels

q = number of quarters

q = n+2

.25q + .05n = 1.40

Using the first equation and replacing q in the second equation

.25( n+2) + .05n = 1.40

Distribute

.25n+.50 +.05n = 1.40

Combine like terms

.30n +.5 = 1.40

Subtract .5 from each side

.3n +.5-.5 = 1.40-.4

.3n = .9

Divide by .3

.3n/.3 = .9/.3

n = 3

q = n+2

q=5

8 0
3 years ago
Read 2 more answers
One side of a triangle is 3 times the second side. The third side is 17 feet longer than the second side. The perimeter of a
Nadya [2.5K]

Answer:

Step-by-step explanation:

lets have one side =a

P=3a+a+(17+a)=52

P=5a+17=52

5a=52-17

5a=35

a=7

second side=21

third side=24

3 0
3 years ago
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