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3 years ago

If g(x) = 1/2x - 5, then for what value of x is g(x) = 8? a) -1 b) 11 c) 26 d) 6

Mathematics

1 answer:

NikAS [45]3 years ago

4 0

Answer:

c) 26

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

g(x) = 1/2x - 5

g(x) = 8

Step 2: Solve for x

Substitute: 8 = 1/2x - 5
Isolate x term: 13 = 1/2x
Isolate x: 26 = x
Rewrite: x = 26

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0.2(x+50)-6=0.4(3x+20) ( show work please)

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3 years ago

Read 2 more answers

Given a circle with radius of 2, which is the degree measure of an arc whose length is 1/2 ?

Finger [1]

180 degrees. It would be half of the circle.

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3 years ago

Use the "rule of 72" to estimate the doubling time (in years) for the interest rate, and then calculate it exactly. (Round your

Law Incorporation [45]

Answer:

According to the rule of 72, the doubling time for this interest rate is 8 years.

The exact doubling time of this amount is 8.04 years.

Step-by-step explanation:

Sometimes, the compound interest formula is quite complex to be solved, so the result can be estimated by the rule of 72.

By the rule of 72, we have that the doubling time D is given by:

$D = \frac{72}{Interest Rate}$

The interest rate is in %.

In our exercise, the interest rate is 9%. So, by the rule of 72:

$D = \frac{72}{9} = 8$ .

According to the rule of 72, the doubling time for this interest rate is 8 years.

Exact answer:

The exact answer is going to be found using the compound interest formula.

$A = P(1 + \frac{r}{n})^{nt}$

In which A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

So, for this exercise, we have:

We want to find the doubling time, that is, the time in which the amount is double the initial amount, double the principal.

is double the initial amount, double the principal.

$A = 2P$

$r = 0.09$

The interest is compounded anually, so $n = 1$

$A = P(1 + \frac{r}{n})^{nt}$

$2P = P(1 + \frac{0.09}{1})^{t}$

$2 = (1.09)^{t}$

Now, we apply the following log propriety:

$\log_{a} a^{n} = n$

So:

$\log_{1.09}(1.09)^{t} = \log_{1.09} 2$

$t = 8.04$

The exact doubling time of this amount is 8.04 years.

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3 years ago

Ryan is 23 years older than stacy. In 6 years he will be 2 times her age. how old is each person now?

Aloiza [94]

Answer:

Ryan 40

Stacy 17

Step-by-step explanation:

x -----> Stacy

x + 23 -----> Ryan

x + 6 Stacy

x + 23 + 6 Ryan

x + 29 Ryan

x + 29 = 2(x + 6)

x + 29 = 2x + 12

x - 2x = 12 - 29

-x = - 17

x = 17 Stacy

x + 23

17 + 23

40 Ryan

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2 years ago

penguins spent almost 75% of their lives in the sea .An emperor penguin in the wild has a lifespan about 18 years . About how ma

11Alexandr11 [23.1K]

First of all, in Mathematics, OF usually represents multiplication. And % means over 100. Anyway, the question basically means 75/100 multiplied by the lifespan. According to the question, the lifespan is 18 years. So that will be;
75/100 x 18
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13.5
So your answer is 13.5 years. Hope i helped. Have a nice day.

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3 years ago