A) y B) y>x C) y+x = 1 D) y/x = 1

Alex surveyed his classmates to determine who has been surfing and who has been snowboarding. Let A be the event that a classmat

DIA [1.3K]

Answer:

surburu

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

2. Harry just deposited $1500 into a savings account giving 6% interest compounded quarterly.a) How much will be in the account

Studentka2010 [4]

The formula for compound interest is:

$\begin{gathered} A=P(1+\frac{r}{n})^{nt} \\ \text{where,} \\ A=\text{ Final amount} \\ r=\text{ Interest rate} \\ n=\text{ Number of times interest applied per period} \\ t=\text{ Number of time period elapsed} \\ P=\text{ Intial principal balance} \end{gathered}$

Given data:

$\begin{gathered} P=\text{ \$1500} \\ r=6\text{ \%}=0.06 \\ n=4\text{ times (compounded quarterly)} \end{gathered}$

a. After ten years, that is t = 10 years, the amount in the account will be

$\begin{gathered} A=1500(1+\frac{0.06}{4})^{4\times10} \\ A=\text{ }1500(1+0.015)^{40} \\ A=\text{ }1500(1.015)^{40} \\ A=\text{ \$2721.03} \end{gathered}$

b. After twenty years, that is t = 20 years, the amount in the account will be:

$\begin{gathered} A=1500(1+\frac{0.06}{4})^{4\times20} \\ A=1500(1.015)^{4\times20} \\ A=1500(1.015)^{80} \\ A=\text{ \$}4935.99 \end{gathered}$

c. The time it takes for Harry's initial account value to double will be:

$\begin{gathered} A=2\text{ x initial value = 2 }\times\text{ \$1500 = \$3000} \\ 3000=1500(1.015)^{4t} \\ (1.015)^{4t}=\frac{3000}{1500} \\ (1.015)^{4t}=2 \\ \text{ Find the logarithm of both sides} \\ \ln (1.015)^{4t}=\ln 2 \\ 4t=\frac{\ln 2}{\ln 1.015} \\ 4t=46.56 \\ t=\frac{46.56}{4}=11.64 \end{gathered}$

Therefore, the time it takes Harry's initial account to double is approximately 11 years

8 0

1 year ago

Ryan gathered data about the age of the different dogs in his neighborhood and the length of their tails

larisa86 [58]

It is a weak negative correlation, and it is not likely causal.

3 0

4 years ago

Read 2 more answers

Tony gets paid $5 per hour to babysit his cousin. This

Kaylis [27]

Answer:

a

Step-by-step explanation:

lets substitute 5 into every equation. (using 5 every time won't work every time ofc)

ok so 5(x+6)=55 would simplify into 5x+30=55 which in this case would be 5(5)+30=55 

and 25 plus 30 (obviously) = 55

so A is the right answer

8 0

2 years ago

The lifespans of gorillas in a particular zoo are normally distributed. the average gorilla lives 20.8 years; the standard devia

dezoksy [38]

Answer:

Step-by-step explanation: 2.35%+95%

Answer is 97.35%

5 0

3 years ago