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CaHeK987 [17]
3 years ago
12

Which applies the power of a power rule properly to simplify the expression (710)5?

Mathematics
1 answer:
natulia [17]3 years ago
8 0

Answer:

I45

Step-by-step explanation:

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Lyn invested $7,000 into a investment paying 3% interest, compounded semi-annually, twice a year. After five years, how much wou
gayaneshka [121]

Answer:

Option B.) $8,123.79

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=5\ years\\ P=\$7,000\\ r=0.03\\n=2  

substitute in the formula above  

A=\$7,000(1+\frac{0.03}{2})^{2*5}  

A=\$7,000(1.015)^{10}=\$8,123.79  

3 0
3 years ago
A hotel charges $90 per day for a double room $80 per day for a single room. If a total of 80 single and double rooms are occupi
SashulF [63]

Answer:

the number of single room is 27 and the number of double room  is 53

Step-by-step explanation:

Let x is the number of single room

Let y is the number of double room

We know that:

x + y = 80 <=> x = 80 -y (1)

80x +90y= 6930 (2)

Substitute (1) in (2) we have:

80 (80 - y) + 90y = 6930

<=> 6400 - 80y +90y = 6930

<=> y = 53

> x = 80 - 53 = 27

the number of single room is 27 and the number of double room  is 53

4 0
3 years ago
a certin shade of green paint is made from 5 parts yellow mixed with three parts blue. if 2 cans of yellow are used, how many ca
andrew-mc [135]
__Brainliest if helped!

5 Parts Yellow with 3 Parts blue
5Yellow with 3 Blue
1Yellow would be  with 3/5 Blue
Hence , 
2 Yellow = (3/5)*2 Blue =6/5 Cans of blue  or 1.2Cans of blue. 
4 0
3 years ago
PLEASE HELP ME
kvasek [131]

Answer:

28

Step-by-step explanation:

The binomial coefficient is calculated as:

nCx=\frac{n!}{x!(n-x)!}

It means that there are nCx ways to select x elements from a group of n elements.

So, If the researcher wants to determine the probability that 6 out of the next 8 individuals in his community are in favor of the president, we can replace n by 8 and x by 6 and calculated the binomial coefficient as:

8C6=\frac{8!}{6!(8-6)!}=28

5 0
3 years ago
How do you do inequalities
fgiga [73]
So some quick tips for inequalities:
**What you do to one side you HAVE TO do it to the other 2**
**If you ever divide a negative number past the inequality signs, the signs FLIP!!**
(e.g. 2>-5x>25)
-2/5 <x < -5

I hope that this has helped!
8 0
3 years ago
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