Let
x = minutes used for jogging
y = minutes used for handball
z = minutes used for cycling
Th total time spent is 1 hour (60 minutes), therefore
x + y + z = 60
Because Mike jogs as long as he cycles, therefore
x = z
Therefore
2x + y = 60
or
y = 60 - 2x (1)
Jogging consumes 10 calories/min, handball consumes 9 calories/min and cycling consumes 12 calories/min.
The calories consumed in 60 minutes is 580, therefore
10 x + 9y + 12z = 580
Because x = z,
22x + 9y = 580 (2)
Substitute (1) into (2).
22x + 9(60 - 2x) = 580
22x + 540 - 18x = 580
4x = 40
x = 10
y = 60 - 2x = 40
z = x = 10
Answer:
10 minutes of jogging
40 minutes of handball
10 minutes of cycling.
Future Value is $7,327.20
<h3>What is compound interest ?</h3>
Compound interest is the interest on deposits that is computed using both the original principal and the interest accrued over time.
It is thought that the concept of "interest on interest" or compound interest first appeared in Italy in the 17th century. Compared to simple interest, which is just charged on the principal amount, it will cause a sum to grow more quickly.
Money grows more quickly when it is compounded, and compound interest increases as the number of compounding periods increases.
CI formula : A = P(1 + r/n)^nt
where,
P = principal balance,
r = interest rate,
n = number of times interest is compounded per time period and
t = number of time periods.
To solve this question :
A = P(1 + r/n)^nt
= 6,000 (1 + 0.02/12) 120
= USD 7,327.20
To know more about compount interest, visit :
brainly.com/question/14295570
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Answer:
B) brand alliance
Explanation:
Firms with a limited reputation sometimes form a brand alliance with a reputable firm so as to gain from the quality associated with the known brand
Answer:D. Many cost reduction opportunities exist and cost of reduction is low
Explanation:
Since the project has not commence the firm has lots of options to choose from and since the practical works has not started it's cheaper to substitute one method for another.
Answer:
$1,042.04
Explanation:
to calculate the present value using a continuously compounded interest rate, we can use the following 2 formulas:
1) present value = cash flow / eⁿˣ
- e = 2.71828
- x = 5% / 2 = 2.5%
- n = 10
- cash flow = $1,030
present value = $1,030 / 2.71828¹⁰ˣ⁰°⁰²⁵ = $1,030 / 1.284 = $802.16
2) present value of an annuity = payment [(1 - e⁻ⁿˣ) / (eˣ - 1)]
- payment = $30
- x = 2.5%
- n = 9
- e = 2.71828
present value = $30 [(1 - 2.71828⁻⁹ˣ⁰°⁰²⁵) / (2.71828⁰°⁰²⁵ - 1)] = $30 [(1 - 2.71828⁻⁹ˣ⁰°⁰²⁵) / (2.71828⁰°⁰²⁵ - 1)] = $30(0.2015 / 0.0252) = $239.88
present value of the stream of cash flows = $802.16 + $239.88 = $1,042.04
