Answer:
It'll take 7.5967 years to have $300 on that account.
Step-by-step explanation:
This problem involves a compounded interest compounded continuously, so in order to solve it we must use the formula for those cases as shown below:
M = C*e^(i*t)
Where M is the final value, C is the initial capital, i is the interest rate and t is the total time. We have:
300 = 250*e^(0.024*t)
e^(0.024*t) = 300/250
e^(0.024*t) = 1.2
0.024*t = ln(1.2)
t = ln(1.2)/0.024 = 7.5967
It'll take 7.5967 years to have $300 on that account.
Answer:
X = $75
Step-by-step explanation:
X=total cost
x* (1/3) =$25
multiply by 3 on both sides
x=$75
Answer:
64 carnations and 16 roses.
Step-by-step explanation:
The events committee buys 80 flowers
The flowers are a combination of carnations and roses.
Each carnation costs $0.50 and each rose costs $2.50
The committee spends a total of $72
<u>Solution:</u>
<u />
Let there be (c) carnations and (r) roses.
So,
c + r = 80 flowers
and $0.50c + $2.50 = $72
This forms a simultaneous equation:
c + r = 80 ... (i)
0.5c + 2.5r = 72 ... (ii)
Multiplying equation (i) by 0.5 and equation (ii) by 1 gives;
0.5c + 0.5r = 40 ... (i)
0.5c + 2.5r = 72 ... (ii)
Subtracting (i) from (ii) gives;
0c + 2r = 32
2r = 32
r = 32 ÷ 2 = 16
Therefore, there are 16 roses
and 80 - 16 = 64 carnations
The number of outcomes available in Boulder and Sarasota will be 4 and 6. Then the total number of outcomes available in Boulder and Sarasota will be 10.
<h3>What are permutation and combination?</h3>
A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.
Angelica is comparing vacation prices in Boulder, Colorado, and Sarasota, Florida. In Boulder, she can choose a 1- or 2-week stay in a 1- or 2-bedroom suite. In Sarasota, she can choose a 1-, 2-, or 3-week stay in a 2- or 3-bedroom suite, on the beach or not.
The number of outcomes is available in Boulder will be
→ 2 x 2
→ 4
The number of outcomes is available in Sarasota will be
→ 3 x 2
→ 6
The number of outcomes is available in Boulder and Sarasota will be
→ 4 + 6
→ 10
More about the permutation and the combination link is given below.
brainly.com/question/11732255
#SPJ1
-6 < x (less than or equal to) 8
