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lianna [129]
3 years ago
7

Miguel is purchasing 2.25 pounds of oatmeal. The serving suggestion is 0.2 pounds. It costs $0.79 per pound. How many servings w

ill he be able to make?
Mathematics
2 answers:
erik [133]3 years ago
6 0

Answer:

45/4, 11.25 servings

Step-by-step explanation:

2.25 --> 2 1/4 --> 9/4

0.2 -> 2/10 -> 1/5

9/4 * 5/1= 45/4, 11.25 servings

julia-pushkina [17]3 years ago
4 0

Answer:

11.25 servings

Step-by-step explanation:

Make sure to ignore .79, because it is unnecessary information.

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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 <u>option 3</u>

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

2) <u>Option 2</u> 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 = <u>$8,000</u>

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

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, <u>it is better to invest more money at the beginning</u>.

Learn more about future value of an annuity here:

brainly.com/question/8243704

3 0
2 years ago
Determine if a triangle with the given dimensions is a right triangle. If it is, which angle is the right angle?
Arte-miy333 [17]
To determine if the triangle is a right triangle, we use the Pythagorean theorem to test or see if the data agrees. We do as follows:

c² = a² + b²
10² = (5√3)² + 5²
100 = 75 + 25
100 = 100

Therefore, the triangle with the given measurements is a right triangle. The angle that would have a right angle is angle BAC. Hope this answers the question. Have a nice day. Feel free to ask more questions.
6 0
3 years ago
The label on Emma's protein shake said that one serving provided 5 grams of fiber, which is 25% of the recommended daily amount.
belka [17]

Answer:20

Step-by-step explanation:

25% is 1/4 so multiply 5 times 4

8 0
3 years ago
Given f(x)=x2, g(x)=x+6, h(x)=7 find f{g[h(x)]}.
gogolik [260]

Answer:

169

Step-by-step explanation:

f(g(h(x))) = \\f(g(7)) =\\f(7+6) = \\(7+6)^2= 169

4 0
3 years ago
Has has 12 true and false questions How many ways can he answer those questions?
Arlecino [84]

each question has two possible outcomes. 12x2= 24

4 0
3 years ago
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