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3 years ago

What is the solution of the equation? 35√(x+2)3+3=27

Mathematics

1 answer:

Arte-miy333 [17]3 years ago

4 0

Use this rule: (x^a)^b = x^ab

3(x + 2)^3/5 + 2 = 27

Subtract 3 from both sides

3(x + 2)^3/5 = 27 - 3

Simplify 27 - 3 to 24

3(x + 2)^3/5 = 24

Divide both sides by 3

(x + 2)^3/5 = 24/3

Simplify 24/3 to 8

(x + 2)^3/5 = 8

Take the cube root of both sides

x + 2 = 3/5√8

Invert and multiply

x + 2 = 8^5/3

Calculate

x + 2 = 2^5

Simplify 2^5 to 32

x + 2 = 32

Subtract 2 from both sides

x = 32 - 2

Simplify 32 - 3 to 30

x = 30

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Emily deposits $14,500 each year into a retirement account with a 7% simple interest rate. If she deposits the same amount each

soldier1979 [14.2K]

Hello! I believe she would have 58,000 at the end of her fourth year. Hope this helps. :)

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3 years ago

Read 2 more answers

Hey! Can someone check my answers?

Andrew [12]

The greatest common factor is the biggest number taken from the values.

Q1. The answer is A. 5y^6

$20 y^{9} +5 y^{6}= 4*5 y^{9}+5 y^{6}$
Since $x^{a}* x^{b} =x^{a+b}$ , then $x^{9}= x^{3}* x^{6}$

Back to our expression:
$4*5 y^{9}+5 y^{6}=4*5 y^{3}*y^{6}+5 y^{6}=4 y^{3}*5y ^{6}+ 5y ^{6}*1=5 y^{6} (4y ^{3} +1)$
The greatest common factor is thus $5 y^{6}$

Q2. The answer is D. 12xy^2

$12x y^{5}+60 x^{4} y^{2} -24 x^{3} y^{3}=12x y^{5}+5*12 x^{4} y^{2} -2*12 x^{3} y^{3}$
We will use the rule $x^{a}* x^{b} =x^{a+b}$ to factorise the exponents:
$12x y^{5}+5*12 x^{4} y^{2} -2*12 x^{3} y^{3}= \\ =12x*y^{2}*y^{3}+5*12*x* x^{3} *y^{2}-2*12x* x^{2} *y*y^{2}= \\ =12xy^{2}*y^{3}+12xy^{2}*5 x^{3} -12xy^{2}*2 x^{2} y= \\ =12xy^{2}(y^{3}+5 x^{3}-2 x^{2} y)$
The greatest common factor is thus $12xy^{2}$

3 0

3 years ago

What is the solution of 4x = 32 - x2?

nydimaria [60]

4x = 32 - 2x
Add -2x (or subtract 2x) from each side
2x = 32
Divide both sides by 2
x = 16

7 0

3 years ago

Invest $6,300 in two different accounts the first account paid 11% the second account paid 6% in interest at the end of the year

MAVERICK [17]

Answer: he invested $5300 at 11% and $1000 at 6%

Step-by-step explanation:

Let x represent the amount which he invested in the first account paying 11% interest.

Let y represent the amount which he invested in the second account paying 6% interest.

He Invest $6,300 in two different accounts the first account paid 11% the second account paid 6% in interest. This means that

x + y = 6300

The formula for determining simple interest is expressed as

I = PRT/100

Considering the first account paying 11% interest,

P = $x

T = 1 year

R = 11℅

I = (x × 11 × 1)/100 = 0.11x

Considering the second account paying 6% interest,

P = $y

T = 1 year

R = 6℅

I = (y × 6 × 1)/100 = 0.06y

At the end of the year, he had earned $643 in interest , it means that

0.11x + 0.06y = 643 - - - - - - - - - -1

Substituting x = 6300 - y into equation 1, it becomes

0.11(6300 - y) + 0.06y = 643

693 - 0.11y + 0.06y = 643

- 0.11y + 0.06y = 643 - 693

- 0.05y = - 50

y = - 50/ - 0.05

y = 1000

x = 6300 - y = 6300 - 1000

x = 5300

7 0

3 years ago

The ratio of blue skittles to red skittles in Tayler's bag is 3 to 4. If there are 20 red

adoni [48]

Answer:

Tayler has 35 SHKITTLES IN ALL

Step-by-step explanation:

Since Tayler has 20 red Skittles, and the ratio of blue skittles to red skittles is 3 to 4, that means that Tayler has 3/4 as many blue skittles as she does red skittles. 3/4 of 20 is 15

20 + 15 = 35

Thus, Tayler has 35 skittles

SHKITTLES lol

6 0

2 years ago