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Readme [11.4K]
3 years ago
5

Determine the value of the expression: 5^4 × 5^8/5^6 Write your answer in exponential notation (in exponent form).

Mathematics
1 answer:
4vir4ik [10]3 years ago
6 0

Answer:

5⁶

Step-by-step explanation:

We have

5^4*\frac{5^8}{5^6}\\\frac{x^n}{x^y}=x^{n-y}\\\frac{5^8}{5^6}=5^{8-6}=5^2\\x^n*x^y=x^{n+y}\\5^4*5^2=5^6

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if 11,100 is invested at 3.1 percent interest compounded monthly, how much will the investment be worth in 19 years?
Fynjy0 [20]
The formula for compound interest is:
A=P(1+r/n)^(nt)
Where A represents the amount of money in the account after t years, P is the principal (investment), n is the number of compoundings per year, and r is the interest rate in decimal form.
P=11,100
r=.031
n=12 (monthly)
t=19
A=11,100(1+.031/12)^(12*19)
A=11,100(1+. 002583)^(228)
A=11,100(1.002583)^(228)
A=11,100(1.80082)
A=$19,989.10
3 0
4 years ago
Read 2 more answers
Round this number to the nearest 100 38,288
Sedbober [7]
200 is it the hundreds place so you round to there. The answer is 38,300 because 288 is closer to 300 than 200.
6 0
4 years ago
Read 2 more answers
PLS HELP THANK UUU!!!
Svetach [21]

Answer:

47.45754235

31.46697634

Hey do you need to show your work for these? I found an answer key

Step-by-step explanation:

We need to use law of cosines

c²=a²+b²-2abcos(C)

let x= angle xzy

plugging in what we have the equation looks like

17²=22²+20²-2*22*20*cos(x)

289=484+400-880cos(x)

.676136364=cos(x)

x=47.45754235

b.)

The smallest angle should be opposite to the smallest side

Using the law of cosines again we get

9²=13²+17²-2*13*17*cos(x)

81=458-442cos(x)

.852941176=cos(x)

x=31.46697634

6 0
3 years ago
A recipe requires a 1/3 cup of milk for each 1/4 cup of water. How many cups of water are needed for each cup of milk?
Kaylis [27]

Answer:

4 cups of milk are used with 3 cups of water

Step-by-step explanation:

3 0
3 years ago
Juliet opened a savings account at a bank by depositing $75. The account earns simple interest at a rate of 4% per year. The mon
Nutka1998 [239]
The money has been in the account f<span>or 5 years. This means that the amount of deposit was increased for 5 times. 
75*1.04*1.04*1.04*1.04</span>*1.04=75*1.04^5≈91.3 $
In this way i prefer to chose <span>D) $90.00 beacuse it's the nearest number</span>
4 0
3 years ago
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