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3 years ago

WILL GIVE BRAINLIEST:

Mathematics

2 answers:

vfiekz [6]3 years ago

6 0

Answer:

you roll a 6-sided die 6 times, what is the best prediction possible for the number of times you will roll a five? 5. 1. 2. 6. Submit. Submit. Continue. Correct!

Step-by-step explanation:

MakcuM [25]3 years ago

3 0

Answer:

There is a 1/36 chance that you will roll a 6.

Step-by-step explanation:

This would be the same for any other number in the dice if it rolled 6 times.

Hope this helps.

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Allam just finished a great meal at a restaurant in Wisconsin. The sales tax in Wisconsin is 5 percent, and it is costumary to l

lubasha [3.4K]

Answer:

Tax = $0.75

Tip = $2.25

Total (meal + tax + tip)= $18.00

Step-by-step explanation:

When solving for percentages of a number, such as sale tax and tip, multiplying the decimal equivalent of each percentage to the amount will give you the individual costs. For example, in this case the sales tax is 5%, the decimal equivalent of 5% = 5 ÷ 100 = 0.05. To find the amount of tax on Allam's meal, multiply the rate by the amount:

0.05 x $15 = $0.75

Since he plans to leave a 15% tip, we can also multiply the amount of the meal by the planned tip amount:

15 ÷ 100 = 0.15

0.15 x $15 = $2.25

Total amount paid, including tax and tip:

$15 + $0.75 + $2.25 = $18.00

6 0

3 years ago

How Much Have I Saved? Portfolio

avanturin [10]

The time value of money calculation can be performed using formula equations or online calculators.

The correct responses are;

1) Option 3

2) Option 2

3) The difference in principal is approximately $8,000

The difference in interest earned is approximately $2,977.87

4) It is better to invest more money at the beginning of the 30 years

Reasons:

Option 1: Present value = 0

Amount invested per month, A = $25/month

The Annual Percentage Rate, APR, r = 3.25%

Number of years = 30

The future value of an annuity is given by the formula;

$\displaystyle FV_{A} = \mathbf{A \cdot \left (\frac{ \left(1 + \frac{r}{m} \right)^{m\cdot t} - 1}{\frac{r}{m} } \right)}$

In option 1, m = 12 periods per year

Therefore;

$\displaystyle FV_{A} = 25 \times \left (\frac{ \left(1 + \frac{0.0325}{12} \right)^{12 \times 30} - 1}{\frac{0.0325}{12} } \right) \approx \mathbf{15,209.3}$

Contribution = $25 × 12 × 30 = $9,000

Total interest earned = $15,209.3 - $9,000 = $6,209.3

Final balance = $15,209.3

Option 2: Present value = 0

Amount, A = $75/quarter

m = 4 periods per year

The Annual Percentage Rate, APR = 4.00%

Therefore;

The effective interest rate is therefore;

$\displaystyle r_{eff} = \left(1 + \frac{0.04}{4} \right)^4 - 1 \approx \mathbf{0.04060401}$

$\displaystyle FV_{A} = 75 \times \left (\frac{ \left(1 + \frac{0.04060401}{4} \right)^{4 \times 30} - 1}{\frac{0.04060401}{4} } \right) \approx 17,437.7$

Using an online calculator, FV = $17,467.04

Contribution = $75 × 4 × 30 = $9,000

Total interest earned = $17,467.04 - $9,000 = $8,467.04

Final balance = $17,467.04

Option 3: Present value = $1,000

APR = 6.25%

m = 12 period per year

Number of years, t = 30 years

Therefore;

$\displaystyle FV = \left (1 + \frac{0.0625}{12} \right)^{12 \times 30} \approx \mathbf{6,489.17}$

Contribution = $1,000

Total interest earned = $6,489.17 - $1,000 = $5,489.17

Final balance = $6,489.17

The table of values is therefore;

$\begin{tabular}{|c|c|c|c|}Option \# &Contribution &Total Interest Earned&Final Balance\\1&\$9,000&\$6,209.3 & \$15,209.3\\2&\$9,000&\$8,467.04 &\$17,467.04\\3&\$1,000&\$5,489.17&\$6,489.17\end{array}\right]$

1) The option that has the least amount invested are option 3

Option 3 investment plan is a present value of $1,000, invested for 30 years at 6.25% APR compounded monthly.

2) Option 2 yielded the highest amount at the end of 30 years, given that the APR is higher than the APR for option 1, although the amount invested over the period are the same.

The basis of option 2 investment plan is $75 invested quarterly at 4.00% APR compounded monthly for 30 years.

3) The difference in the principal invested for the highest and lowest final balance is $9,000 - $1,000 = $8,000

The difference in the interest earned is; $8,467.04 - $5,489.17 = $2,977.87

4) In option 1 the present value is zero, therefore zero amount was invested at the beginning.

The interest to investment ration is 6,209.3:9,000 ≈ 0.7:1

In option 3, all the money was invested at the beginning.

The interest to investment ratio of option 3 is; 5,489.17:1,000 ≈ 5.5:1

Given that the interest to investment ratio, which is the return on investment is larger when more money is saved at the beginning as in option 3, it is better to invest more money at the beginning.

Learn more about future value of an annuity here:

brainly.com/question/8243704

3 0

3 years ago

A. 2x = 5 What would be the answer I don’t know anyone help me before the 28th

Aleksandr [31]

Answer:

2.5

Step-by-step explanation:

4 0

3 years ago

Use the table below to determine whether f(x) could represent a linear function If it could write f(x) in the form f(x)=mx+b

Elodia [21]

Answer:

f(x) = 6x - 5

Step-by-step explanation:

We see f(x) increase is linear and is 6 at each step, so m = 6 and y-intercept is b = -5, from point (0, -5)

So the function is:

f(x) = 6x - 5

3 0

3 years ago

Please help asap plz

butalik [34]

Answer:

im think its 20 and 39 im not sure tho

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers