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3 years ago

Solve for X I really need some help on this :(

Mathematics

1 answer:

777dan777 [17]3 years ago

6 0

Step-by-step explanation:

By Geometric mean property:

${x} = \sqrt{12 \times 27} \\ = \sqrt{4 \times 3 \times {3}^{3} } \\ = \sqrt{ {2}^{2} \times {3}^{4} } \\ = 2 \times {3}^{2} \\ = 2 \times 9 \\ = 18 \\ \\ \huge \red { \boxed{\therefore \: x = 18}}$

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Tyrone has $500 in his savings account. He wants to save more money. He is looking at two investment plans. Under plan A, he wil

Marrrta [24]

Answer:

$\$522.78$

Step-by-step explanation:

Let

x ---> the number of years

y ---> the amount in the account balance

Plan A

we have a linear equation of the form

$y=mx+b$

where

The slope is equal to

$m=\$100\ per\ year$

The y-intercept or initial value is

$b=\$500$

substitute

$y=100x+500$

For x=10 years

substitute

$y=100(10)+500=\$1,500$

Plan B

we have a exponential growth function of the form

$y=a(1+r)^x$

where

$a=\$500\\r=15\%=15/100=0.15$

substitute

$y=500(1+0.15)^x$

$y=500(1.15)^x$

For x=10 years

substitute

$y=500(1.15)^{10}=\$2,022.78$

Find the difference of the two account balances after 10 years

$\$2,022.78-\$1,500=\$522.78$

3 0

2 years ago

This is for 75 points and brainlyest if you can help

hoa [83]

Answer:

(3x - 5°) = 52°

Step-by-step explanation:

Formula we use,

→ A + B + C + D + E = 540°

Then the value of x will be,

→ A + B + C + D + E = 540°

→ (6x + 25°) + (5x + 10°) + (3x - 5°) + (5x + 10°) + (6x + 25°) = 540°

→ (6x + 5x + 3x + 5x + 6x) + (25° + 10° - 5° + 10° + 25°) = 540°

→ 25x + 65° = 540°

→ 25x = 540° - 65°

→ 25x = 475°

→ x = 475/25

→ [ x = 19° ]

The value of angle (3x - 5°) will be,

→ (3x - 5°)

→ (3 × 19) - 5°

→ 57° - 5°

→ [ 52° ]

Hence, value of angle (3x - 5°) is 52°.

6 0

1 year ago

A bus covers 270km distance in 6 hours.

pentagon [3]

Answer:

(i)= 45 KPH, (ii) = 251 miles

Step-by-step explanation:

'Per' essentially means divide. Thus, to find Kilometres per hour, divide 270 by 6= 45. The bus is travelling at 45 KPH.

Then, to see how far a nine hour trip would cover, distance = speed * time = 251 miles.

7 0

1 year ago

(X^4)-(45x^2)+324 what are the zeroes? And how many turning points?

dmitriy555 [2]

Zeroes:

We must solve

$x^4-45x^2+324=0$

To do so, we define the auxiliary variable $t=x^2$ . The equation becomes

$t^2-45t+324=0$

The quadratic formula yields the solutions

$t=9,\quad t=36$

Substituting back $t=x^2$ gives

$x^2=9 \iff x=\pm 3,\quad x^2=36 \iff x=\pm 6$

So, the zeroes are -6, -3, 3, 6.

Turning points:

Turning points are points where a function stops being increasing to become decreasing, or vice versa. Since functions are increasing when their first derivative is positive and decreasing when it's negative, turning points are points where the first derivative is zero.

We have

$f(x)=x^4-45x^2+324 \implies f'(x)=4x^3-90x$