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2 years ago

2. A bank representative studies compound interest, so she can better serve

Mathematics

1 answer:

Kaylis [27]2 years ago

4 0

Answer:

Step-by-step explanation:

Given that a bank representative studies compound interest, so she can better serve customers. She analyzes what happens when $2,000 earns interest several different ways at a rate of 2% for 3 years.

a) the interest if it is computed using simple interest. 12.00

= $\frac{2000(3)(12)}{100} \\=720$ dollars

b) the interest if it is compounded annually.

= $2000(1.12)^3-2000\\= 809.86$ dollars

c) the interest if it is compounded semiannually

= $2000(1.06)^6 -2000\\= 837.04$

d) the interest if it is compounded quarterly.

= $2000(1.03)^12 -2000\\= 851.52$

e) the interest if it is compounded monthly.

= $2000(1.01)^24 -2000\\= 861.54$

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For his long distance phone service, Keith pays a $3 monthly fee plus 11 cents per minute. Last month, Keith's long distance bil

Allushta [10]

The number of minutes for which Keith was billed = 97

Step-by-step explanation:

Step 1:

It is given that Keith pays a fixed fee of 3$ a month and 11 cents per minute for the number of minutes used.

Total cost = Fixed cost + Per minute cost

If x represents the number of minutes consumed in a month then we can compute the total cost using the below equation:

Total cost = 3$ + 0.11 * x

Step 2:

The total cost is 13.67$

Substituting in the equation we get

13.67 = 3 + 0.11 * x

x = 10.67 / 0.11 = 97 minutes

Step 3:

Answer:

The number of minutes for which Keith was billed = 97

3 0

2 years ago

The graph below shows the solution to a system of inequalities: Solid line joining ordered pairs 0, 3.75 and 15, 0. Shade the po

algol [13]

(0,3.75)(15,0)
slope(m) = (0 - 3.75) / (15 - 0) = -3.75/15 = - 0.25 or -1/4

y = mx + b
slope(m) = -1/4
(15,0)...x = 15 and y = 0
now we sub
0 = -1/4(15) + b
0 = -15/4 + b
15/4 = b

y = -1/4x + 15/4
1/4x + y = 15/4....multiply by 4
x + 4y = 15.....and since it is a solid line, it contains an equal sign...and since it is shaded above the line, it is greater.
so ur inequality is : x + 4y > = 15 (thats greater then or equal)

4 0

2 years ago

Read 2 more answers

Convert 100110 base two to a number in base three

Lostsunrise [7]

Convert to base 10:

10 0110₂ = 2⁵ + 2² + 2¹ = 38

Convert to base 3:

38 = 27 + 11 = 27 + 9 + 2 = 3³ + 3² + 2×3⁰ = 1102₃

4 0

2 years ago

What is the slope of the line that contains the points (5, 5) and (8, 3)?

alexgriva [62]

Slope = (Y2 - Y1) / (X2 - X1)

Slope = (5 - 3) / (5 - 8) = 2/-3 = -2/3

Answer: (B) -2/3

5 0

2 years ago

Sam's total expenses last month were $1840. What was his total variable cost for last

likoan [24]

Answer:

$1500

Step-by-step explanation:

It is given that

Rent = $100

Groceries and drinks = $1000

Insurance premiums = $10

Loan interest payment =$30

Clothes = $200

Utilities = $300

Home security fee = $200

Fixed cost are costs that does not vary and variable cost are costs that vary with goods and services.

In the given problem, rent , insurance premiums, loans interest payment ad home security fee are fixed cost.

Groceries and drinks, clothes and utilities are variable cost.

So, total variable cost for last month is

$\text{Total variable cost}=\$1000+\$200+\$300=\$1500$

Therefore, total variable cost for last month is $1500.

5 0

2 years ago