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algol [13]
3 years ago
9

What is the exact value of the expression the square root of 294. - the square root of 24. + the square root 54.? Simplify if po

ssible.
8 the square root of 2.

8 the square root of 6.

12 the square root of 2.

12 the square root of 6.
Mathematics
1 answer:
dalvyx [7]3 years ago
6 0
My solution to the problem is as follows:

sqrt(294) - sqrt(24) + sqrt(54) 
= sqrt(49 * 6) - sqrt(4 * 6) + sqrt(9 * 6) 
= sqrt(49)*sqrt(6) - sqrt(4)*sqrt(6) + sqrt(9)*sqrt(6) 
= 7*sqrt(6) - 2*sqrt(6) + 3*sqrt(6) 
= (7 - 2 + 3)*sqrt(6) 
= 8*sqrt(6) 
= sqrt(64)*sqrt(6) 
<span>= sqrt(384)

= 8*sqrt(6)

Therefore, the answer is letter B, 8 square root of 6
</span>
I hope my answer has come to your help. God bless and have a nice day ahead!
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7/8 - 1/4 - 1/2= ??
madreJ [45]

Step-by-step explanation:

We can break this up into pieces, first we do, 7/8 - 1/4, find the least common denominator which is 8, so the equation will be 7/8 - 2/8, which we can now subtract and will give us, 5/8, now that we have done that, we can do 5/8 - 1/2. Since we know that half of 8 (our denominator) is 4. Then the equation would be 5/8 - 4/8, which brings us to 1/8 as our final answer.

Cheers!

7 0
2 years ago
Ryan has deposited $100 into a retirement account at the end of every month for 50 years. The interest rate on the account is 1.
Andre45 [30]

Answer:

future payment is $77056.92

total interest is paid after 45 year is  $23056.42

Step-by-step explanation:

Given data

payment (P) = $100

No of installment (n) = 12

rate of interest ( r ) = 1.5 %  i.e. = 0.015

time period (t) = 45 years

to find out

future payment and interest after 45 year

solution

we know future payment formula i.e. given below

future payment = payment × (1+\frac{r}{n})^{nt} - 1) / (r/n)

now put all these value in equation

future payment = $ 100  × (1+\frac{0.015}{12})^{12*45} - 1) / (0.015/12)  

future payment = $ 77056.92

payment paid in 45 year @ $100 total money is paid is 45 × 12 × $100 i.e. = $54000

total interest = future payment  - money paid

total interest = $77056.42 - $54000

total interest = $23056.42

4 0
3 years ago
Which function has the greatest maximum y-value?
larisa86 [58]

Answer:

g(x)

Step-by-step explanation:

y-intersect for h(x) is -11 as shown in the table, where the x value is 0

y-intersect for f(x) you find out by subbing 0 in the place of x and get the y intersect value of 2.99

y-intersect of g(x) is 3 as shown in the drawing

as seen across the three y-intersects, the value of g(x) y-intesect is the greatest

3 0
2 years ago
Simplify the expression:<br> 3(3 + 7b)
cupoosta [38]

Answer:

The answer is 9 + 21b

Step-by-step explanation:

Simplify the expression.

~Hoped this helped~

4 0
3 years ago
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Maksim231197 [3]
On an investment of $5000 with an interest payment of 5% = $250 at one year. At 3.5 years, the interest payments would total $250 × 3.5 = $875
6 0
3 years ago
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