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2 years ago

Is it appropriate to use an absolute value function to represent how people win this game?

Mathematics

1 answer:

Setler [38]2 years ago

4 0

No if they win it remains positive the negative will be losses which will be changed due to absolute value

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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

What do same side exterior angles add up to

viktelen [127]

Answer:

180

Step-by-step explanation:

3 0

3 years ago

Which of the following are equivalent to the expression 9/4 ( 1.75 - 2 1/4)? Select all that apply.

Sindrei [870]

Answer:

9/4 (1.75 - 21/4)

=9/4 (1.75 - 5.25)

=2.25 -3.5

= -1.25

I think your f answer is wrong

there should be -1.25

4 0

2 years ago

Simplify 5 - (-1) please help me

devlian [24]

Answer:

Step-by-step explanation:

5 - (-1) = 5 + 1 = 6

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2 years ago

Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.

serg [7]

Answer:

does it have a picture

Step-by-step explanation:

6 0

3 years ago

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