A card is picked at random

Mathematics

1 answer:

sveta [45]3 years ago

4 0

Answer:

1/4

Step-by-step explanation:

the probability of selecting a spade: 14/52 = 1/4

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Julio's father is 4 times as old as Julio. The sum of their ages is no less than 55.

Valentin [98]

Julio is x years old and his father is y years old:
y = 4 x
x + y ≥ 55
x + 4 x ≥ 55
An inequality is:
5 x ≥ 55
x ≥ 55 : 5
x ≥ 11
The youngest age Julio can be is 11.

4 0

3 years ago

Read 2 more answers

you deposited $5500 in a account that pays 3.6% annual interest. find the balance after 2 years if the interest is compound mont

Sedaia [141]

Answer:

$5,909.97

Step-by-step explanation:

We will use the compound interest formula for this problem as shown below:

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

P = initial balance

r = interest rate (decimal)

n = number of times compounded annually

t = time

First, change 3.6% into a decimal:

3.6% -> $\frac{3.6}{100}$ -> 0.036

Now plug in the values:

$A=5,500(1+\frac{0.036}{12})^{12(2)}$

$A=5,909.97$

After 2 years, the balance would be $5,909.97

6 0

3 years ago

Consider functions f and g.1 + 12f(1) = 12 + 4. – 12for * # 2 and 7 -64.2 – 16. + 1641 +48for a # -12 Which expression is equal

lisabon 2012 [21]

Given the following functions below,

$\begin{gathered} f(x)=\frac{x+12}{x^2+4x-12}\text{ and} \\ g(x)=\frac{4x^2-16x+16}{4x+48} \end{gathered}$

Factorising the denominators of both functions,

Factorising the denominator of f(x),

$\begin{gathered} f(x)=\frac{x+12}{x^2+4x-12}=\frac{x+12}{x^2+6x-2x-12}=\frac{x+12}{x(x+6)-2(x+6)}=\frac{x+12}{(x-2)(x+6)} \\ f(x)=\frac{x+12}{(x-2)(x+6)} \end{gathered}$

Factorising the denominator of g(x),

$\begin{gathered} g(x)=\frac{4x^2-16x+16}{4x+48}=\frac{4(x^2-4x+4)}{4(x+12)} \\ \text{Cancel out 4 from both numerator and denominator} \\ g(x)=\frac{x^2-4x+4}{x+12}=\frac{x^2-2x-2x+4}{x+12}=\frac{x(x-2)-2(x-2)}{x+12}=\frac{(x-2)^2}{x+12} \\ g(x)=\frac{(x-2)^2}{x+12} \end{gathered}$

Multiplying both functions,