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2 years ago

I need help with this problem :)

Mathematics

1 answer:

Crazy boy [7]2 years ago

5 0

Answer:

Replace all occurrences of y with 6x−3 in each equation.

Replace all occurrences of y in 18x−3y=9 with 6x−3 .

18x−3(6x−3)=9

y=6x−3

Simplify 18x−3(6x−3).

9=9

y=6x−3

Remove any equations from the system that are always true.

y=6x−3

Step-by-step explanation:

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A) Patty Stacey deposits $2600 at the end of each of 5 years in an IRA. If she leaves the money that has accumulated in the IRA

ruslelena [56]

Answer:

From the question, Stacey deposits $2600 six times over a thirty year period since she makes the deposit every five years. Her amount accures by the formular. A = P(1+r/n)^nt. Where her principal P = $2,600. Rate, r =6% =0.06. Time = 30 years and the period of compounding per unit time, n = 6 years. So we have A =2, 600(1+(0.06/6))^(6*30) = 2, 600 (1 + 0.01)^(180) = 2600* 5.9958 = $15, 587. To the nearest cent we have $15, 590.

Step-by-step explanation:

8 0

2 years ago

The day of the 52-mile double marathon is finally here! Pepe has set the ambitious goal of averaging an 8-minute mile. Pepe fini

balandron [24]

Answer:

221 minutes

Step-by-step explanation:

His goal is 8 minutes or less for every mile during the marathon.

8 x 52 = 416

That gives him 416 total minutes to complete the marathon goal.

He already ran the first half in 195 minutes, so we do this to find the time for the other half:

416 - 195 = 221

He has 221 minutes in the second half of the marathon to meet his goal.

5 0

3 years ago

In a survey of music preferences 81 out of 450 students said that they preferred country music what percent of the students pref

Kazeer [188]

To write 81/450 as a percent have to remember that 1 equal 100% and that what you need to do is just to multiply the number by 100 and add at the end symbol % .

81/450 * 100 = 0.18 * 100 = 18% 
81/450 as a percent equals 18%

6 0

3 years ago

Information reference tables what is the solution set of the equation log4 (x2 + 3x) − log4 (x + 5) = 1?

faust18 [17]

Use this property of logarithms:

$\log_b\left(\dfrac{x}{y}\right)=\log_b x-\log_b y$

Your equation transforms into:

$log_4\left(\dfrac{x^2+3x}{x+5}\right)=1$

Now, you have to apply the definition of a logarithm to express the equation in exponential form:

$\dfrac{x^2+3x}{x+5} = 4^1$

In case you don't remember, this is the definition of a logarithm:

$\log_b x = y \iff b^y = x$

The log is the exponent (y) you have to raise the base (b) to in order to get the power (x).

Finally, solve the rational equation:

$\dfrac{x^2+3x}{x+5} =4 \iff x^2+3x=4(x+5)$
$\iff x^2-x-20=0$
$\iff x=\dfrac{1\pm\sqrt{(-1)^2-4\cdot(-20)}}{2}= \left \{ {{5} \atop {-4}} \right.$

The correct answer is d.

5 0

3 years ago

(x – 2) / 4 – (3x + 5) / 7 = – 3, x = ? WILL GIVE BRAINLIEST

balu736 [363]

Answer:

under

Step-by-step explanation:

change the underminator, we have

7×(x-2)-4×(3x+5)=-3×7×4

7x-14-12x-20=-84

-5x=-50

x=10

6 0

2 years ago