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Simora [160]
3 years ago
10

Solve for u. 3u + 4 = 7

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
6 0
  • <em>Answer:</em>

<em>u = 1</em>

  • <em>Step-by-step explanation:</em>

<em>Hi there ! </em>

<em>3u + 4 = 7</em>

<em>3u = 7 - 4</em>

<em>3u = 3</em>

<em>u = 3 : 3</em>

<em>u = 1</em>

<em>Good luck !</em>

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Answer:

f(x)-g(x)=2x^2(1-x)

Step-by-step explanation:

Given that,

f(x)=x^2\\\\g(x)=2x^3-x^2

We need to find the value of f(x)-g(x).

Put the values of f(x) and g(x). So,

f(x)-g(x)=x^2-(2x^3-x^2)\\\\=x^2-2x^3+x^2\\\\=2x^2-2x^3\\\\=2x^2(1-x)

So, the value of f(x)-g(x) is equal to 2x^2(1-x).

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Answer:

$29,721

Step-by-step explanation:

We have been given that Wyatt is investing money into a savings account that pays 2% interest compounded annually, and plans to leave it there for 15 years. We are asked to find the amount deposited by Wyatt in order to have a balance of $40,000 in his savings account after 15 years.

We will use compound interest formula to solve our given problem.

A=P(1+\frac{r}{n})^{nT}, where,

A = Final amount after T years,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year,

T = Time in years.

Let us convert our given interest rate in decimal form.

2\%=\frac{2}{100}=0.02

Upon substituting our given values in compound interest formula, we will get:

\$40,000=P(1+\frac{0.02}{1})^{1*15}

\$40,000=P(1+0.02)^{15}

\$40,000=P(1.02)^{15}

\$40,000=P\times 1.3458683383241296

Switch sides:

P\times 1.3458683383241296=\$40,000

\frac{P\times 1.3458683383241296}{ 1.3458683383241296}=\frac{\$40,000}{1.3458683383241296}

P=\$29,720.5891995

Upon rounding our answer to nearest dollar, we will get:

P\approx \$29,721

Therefore, Wyatt will have to invest $29,721 now in order to have a balance of $40,000 in his savings account after 15 years.

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