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3 years ago

23 greater than b is at least -276

Mathematics

1 answer:

Nuetrik [128]3 years ago

7 0

Answer:

23 + b ≤ -276

Step-by-step explanation:

In this exercise, you're required to write an algebraic expression for the word problem. Thus, you'll write out a mathematical equation using the given values and unknown variable.

Translating the word problem into an algebraic expression, we have;

23 + b ≤ -276

Simplifying further, we have;

b ≤ -276 - 23

b ≤ -299

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The formula for compound interest is:

sveta [45]

Answer:

Future value, A = $642

Step-by-step explanation:

Given the following data;

Principal = $500

Interest rate = 5% = 5/100 = 0.05

Time, t = 5 years

n = 365

To find the future value, we would use the compound interest formula;

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

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

n is the number of times the interest is compounded in a year.

t is the number of years for the compound interest.

Substituting into the equation, we have;

$A = 500(1 + \frac{0.05}{365})^{365*5}$

$A = 500(1 + 0.000137)^{1825}$

$A = 500(1.000137)^{1825}$

$A = 500*1.2840$

Future value, A = $642

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3 years ago

How many permutations exist of the letters a, b, c, d taken four at a time?

baherus [9]

The answer to this is A, 24
4*3*2*1=24

4 0

4 years ago

If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)?

Oduvanchick [21]

Remember that $(g-f)(x)$ is $g(x)-f(x)$ . We know form our problem that $f(x)=4-x^2$ and $g(x)=6x$ , so:
$(g-f)(x)=g(x)-f(x)$
$(g-f)(x)=6x-(4-x^2)$
$(g-f)(x)=6x-4+x^2$

Now, to find $(g-f)(3)$ , we just need to evaluate $(g-f)(x)$ at 3. In other words, we are going to replace $x$ with 3:
$(g-f)(x)=6x-4+x^2$
$(g-f)(x)=6(3)-4+(3)^2$

We can conclude that the correct answer is <span>C.6(3) – 4 + 3^2 </span>

5 0

3 years ago

Alex's sock drawer contains plain, spotted and striped socks in the ratio 5 : 3 : 8. What fraction of Alex's socks are striped?

HACTEHA [7]

Plain : Spotted : Striped socks are in the ratio of 5 : 3 : 8

So we can say that number of plain socks = 5x

Number of spotted socks = 3x

Number of striped socks = 8x

Hence, total number of socks = 5x + 3x + 8x = 16x

⇒ Fraction of Striped Socks = $\frac{\text{Number of Striped Socks}}{\text{Total Number of Socks}}$