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elena-14-01-66 [18.8K]
3 years ago
5

In November 2010, ING Direct was offering 2.4% interest on its Orange Savings Account, with interest reinvested quarterly.† Find

the associated exponential model for the value of a $3,000 deposit after t years
Mathematics
1 answer:
Archy [21]3 years ago
8 0
First, let's convert the nominal interest(r) into effective interest rate(i). The formula is

i = (1 + r/m)^m - 1
where m is the number of quarters in a year (m = 4)
i = (1 + 0.024/4)⁴ -1
i = 0.024217

The model would then be:
Future Worth =  $3,000(1 + 0.024217)^t, where t is the number of years
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Can someone pls help me :)
Diano4ka-milaya [45]

Answer: c

Step-by-step explanation:

If the population triples every three hours, you would multiply three by the number of one hour to the power of three, making three hours. This function would triple it every three hours.

4 0
3 years ago
Find the inverse Laplace transform f(t) of the function F(s). Write uc for the Heaviside function that turns on at c, not uc(t).
zzz [600]

Answer:

F(t)=\frac{-1}{2}e^{7(t-7)}+\frac{1}{2}e^{-7(t-7)}

Step-by-step explanation:

We have given F(S)=\frac{7e^{-7s}}{s^2-49}

Now  F(S)=e^{-7s}G(s)

Here G(S)=\frac{7}{S^2-49}

Now first find the Laplace inverse of G(S)

Using partial fraction

\frac{7}{(s+7)(s-7)}=\frac{A}{(S+7)}+\frac{B}{S-7}

7=A(S-7)+B(S+7)

On comparing the coefficient

A=\frac{1}{2}  and B=\frac{-1}{2}  

On putting the value of A and B  

G(S)=\frac{-1}{2(S+7)}+\frac{1}{2(S+7)}

Taking inverse Laplace

G(t)=\frac{-1}{2}e^{7t}+\frac{1}{2}e^{-7t}

Now in G(s) there is onether term e^{-7s}

So F(t)=\frac{-1}{2}e^{7(t-7)}+\frac{1}{2}e^{-7(t-7)}

6 0
2 years ago
30 kg of tomatoes cost $93. how much would 14 kg cost
katovenus [111]

Answer:

$43.4

Step-by-step explanation:

Let's say x is the cost per kilgram

30x = 93

x = 3.1

14x = 43.4

8 0
3 years ago
What percent of 25 is 12?
snow_lady [41]
12 * 4 = 48
25 * 4 = 100

48/100 = 0.48, or 48%

12 is 48% of 25
I hope this helps you

8 0
3 years ago
Read 2 more answers
Given: ∆ABC, AC = 12,<br> AB = BC = 10<br> Find: m∠A, m∠C, m∠B
4vir4ik [10]

Answer:

  • m∠A ≈ 53.13°
  • m∠B ≈ 73.74°
  • m∠C ≈ 53.13°

Step-by-step explanation:

An altitude to AC bisects it and creates two congruent right triangles. This lets you find ∠A = ∠C = arccos(6/10) ≈ 53.13°.

Since the sum of angles of a triangle is 180°, ∠B is the supplement of twice this angle, so is about 73.74°.

  m∠A = m∠C ≈ 53.13°

  m∠B ≈ 73.74°

_____

The mnemonic SOH CAH TOA reminds you of the relation between the adjacent side, hypotenuse, and trig function of an angle:

  Cos = Adjacent/Hypotenuse

If the altitude from B bisects AC at X, triangle AXB is a right triangle with side AX adjacent to the angle A, and side AB as the hypotenuse. AX is half of AC, so has length 12/2 = 6, telling you the cosine of angle A is AX/AB = 6/10.

A diagram does not have to be sophisticated to be useful.

3 0
3 years ago
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